Answer:
Well, the first $100 gets charged $1.50
The next 146.07 gets charged 1% so that is 1.46
1.50 + 1.46 = 2.96
2.3 89.70 - 20 + 32.11 = 101.81. 1.23 percent of that is 1.25
The answer would be the third choice.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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Step-by-step explanation:
Answer:
110
Step-by-step explanation:
took the test
There are a dozen eggs in a basket. 4 are white. The rest are brown. Tell what fraction of the eggs are brown. The write the fraction in simplest form.
Out of a dozen eggs, with 4 being white, the fraction that represents the brown eggs is 8/12. Simplified, this fraction is 2/3.
Explanation:The question is asking us to find what fraction of the eggs are brown if there are 4 white eggs out of a dozen in a basket. Since there are 12 eggs in a dozen, and we know 4 are white, we can subtract the 4 white eggs from the total to find out how many are brown.
12 eggs (total) - 4 white eggs = 8 brown eggs.
Therefore, the fraction of the basket that contains brown eggs is 8/12. To simplify this fraction, we look for the greatest common divisor of both the numerator (8) and the denominator (12), which is 4. Dividing both by 4, we get:
8 ÷ 4 = 2
12 ÷ 4 = 3
So the fraction of the eggs that are brown in simplest form is 2/3.
A wooden structure has the shape of a right triangle with a base of 12 feet and a height of 8 feet. It is supported by a wire stretched from point C to the ground at point D such that the support wire is perpendicular to the top of the structure, AC.
(1) how far away from point b should point d be placed? give an exact answer in feet and inches.
(2) to the nearest tenth of a foot what is the length of the support wire?
Answer:
(1)5 ft 4 in
(2)9.6 ft
Step-by-step explanation:
We are given that
AB=12 ft
BC=8 ft
All right triangles are similar
(1)Let BD=x
Triangle ABC and DBC are similar
When two triangle are similar then , the ratio of their corresponding sides are equal.
[tex]\frac{12}{8}=\frac{8}{x}[/tex]
[tex]x=\frac{8\times 8}{12}=\frac{64}{12}=5.3 ft[/tex]
[tex]x=\frac{64}{12}\times 12=64 inches[/tex]=5 ft 4in
1 feet=12 inches
(2)In triangle DBC
[tex]CD^2=BC^2+DB^2[/tex]
Using Pythagoras theorem
[tex](hypotenuse)^2=(Base)^2+(perpendicular\;side)^2[/tex]
[tex]CD^2=(8)^2+(5.3)^2[/tex]
[tex]CD=\sqrt{64+28.09)}=9.6 feet[/tex]
Hence, the length of support wire=9.6 feet
The distance from point B that point D should be placed in the triangle is 5 feet 4 inches.
How to solve the triangle?The distance from point B that point D should be placed in the triangle will be calculated thus:
Let the distance be represented by x
12/8 = 8/x
x = (8 × 8) / 12
x = 5 ft 4 in
The length of the support wire will be calculated thus:
CD² = 8² + 5.3²
CD² = 64 + 28.09
CD² = 92.09
CD = ✓92.09
CD = 9.6 feet
Therefore, the length of the support wire is 9.6 feet.
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According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. (Round your answers to 4 decimal places where possible)
Compute the probability that a randomly selected peanut M&M is not yellow.
Compute the probability that a randomly selected peanut M&M is orange or yellow.
Compute the probability that three randomly selected peanut M&M's are all red.
If you randomly select two peanut M&M's, compute that probability that neither of them are red.
If you randomly select two peanut M&M's, compute that probability that at least one of them is red.
Answer:
Step-by-step explanation:
According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green.
Colour Brown Yellow Red Blue Orange Green total
Prob 0.12 0.15 0.12 0.23 0.23 0.15 1
The probability that a randomly selected peanut M&M is not yellow
=[tex]1-P(Yellow) = 0.85[/tex]
the probability that a randomly selected peanut M&M is orange or yellow.
= [tex]0.23+0.15=0.38[/tex]
the probability that three randomly selected peanut M&M's are all red.
= [tex](0.12)^3 = 0.001728[/tex]
(assuming large number of peanuts and thus independent )
If you randomly select two peanut M&M's, compute that probability that neither of them are red.
= [tex](1-0.12)^2\\= 0.7744[/tex]
If you randomly select two peanut M&M's, compute that probability that at least one of them is red
=[tex]1-P(both non red)\\= 1-0.88^2\\= 0.2256[/tex]
Tim answered all the questions on his math test but got 101010 answers wrong. He received 444 points for every correct answer, and there was no penalty for wrong answers. His score was 767676 points. Write an equation to determine the total number of questions (q)(q)(, q, )on Tim's math test.
Answer:
q = 29
Step-by-step explanation:
4(q -10) = 76
help me, someone, I really need it
Answer:
Point B
Step-by-step explanation:
Because the x coordinate is -2
Move two to the left.
The y-coordinate is 2
After we are at -2 for x, then move up to reach the y=2 line. \
Then that will be your point.
Answer:
it would be point b
HELP PLS 20 POINTS! I WILL MARK BRAINLIEST
Answer:
I believe it is 2 for $5.08
Step-by-step explanation:
1.27 times 2 is 2.54
2.54 times 5 is 12.70
Answer:
D 2(1/2) for $6.25
Step-by-step explanation:
a. 5.08/2=2.54
b.12.7/5=2.54
c.1.27/0.5=2.54
d.6.25/2.5=2.5
An SRS of size n was taken to estimate mean body mass index (BMI) for girls between 13 and 19 years of age. The 95% confidence interval obtained had lower limit 19.5 and upper limit 26.3. Which of the following is NOT true? 1. A total of 95% of all teenage girls have BMI between 19.5 and 26.3. 2. The margin of error is 34. 3. The value z in the margin of error is 1.96. 4. A total of 95% of all SRS of size n contain the true mean BMI
Answer:
Option 1) A total of 95% of all teenage girls have body mass index between 19.5 and 26.3.
Step-by-step explanation:
We are given the following in the question:
95% confidence interval of mean body mass index (BMI) for girls between 13 and 19 years of age is:
[tex](19.5, 26.3)[/tex]
Lower limit = 19.5
Upper limit = 26.3
1. A total of 95% of all teenage girls have body mass index between 19.5 and 26.3.
The given statement is false. This is not the right interpretation for confidence interval.
2. The margin of error is 3.4
The confidence interval can be found as
[tex]\text{sample mean}\pm \text{Margin of error}[/tex]
Let x be the sample mean and y be the margin of error, thus, we can write
[tex]x - y =19.5\\x + y = 26.3\\2x =45.8 \\x = 22.9\\y = 22.9 - 19.5\\y = 3.4[/tex]
Thus, the margin of error is 3.4
Thus, the given statement is true.
3. The value z in the margin of error is 1.96.
The statement is true.
The z-multiplier for a 95% confidence interval used is 1.96
4. A total of 95% of all SRS of size n contain the true mean body mass index
The given statement is true. It is the right interpretation of 95% confidence interval.
Among the provided statements, 'A total of 95% of all teenage girls have BMI between 19.5 and 26.3' is NOT accurate. A 95% confidence interval does not indicate that 95% of the data is in that range.
Explanation:In this case, the statement that is NOT true about the confidence interval for estimating the mean body mass index (BMI) for girls between 13 and 19 years of age is: 1. A total of 95% of all teenage girls have BMI between 19.5 and 26.3.
A 95% confidence interval does not claim that 95% of the population data falls within this range. Instead, it asserts that if we were to take many samples and build a confidence interval from each sample, then about 95% of the confidence intervals would contain the true mean BMI (this is the meaning of statement 4).
Statement 2 is incorrect since the margin of error is not 34. It is calculated as (26.3 - 19.5)/2 = 3.4.
Statement 3 is correct as the value for 'z' in a 95% confidence interval is indeed 1.96. This is because 1.96 is the z-score that cuts off the top 2.5% and bottom 2.5% of data in a standard normal distribution, leaving 95% of the data in between.
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PLZ HURRY IT'S URGENT!!
What is the slope of the line that passes through the points (3, –1) and (–2, –5)? −54
−45
45
54
Option C: [tex]\frac{4}{5}[/tex] is the slope of the line
Explanation:
The line passes through the points [tex](3,-1)[/tex] and [tex](-2,-5)[/tex]
We need to find the slope of the line.
The slope can be determined using the formula,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where the coordinates [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are [tex](3,-1)[/tex] and [tex](-2,-5)[/tex]
Let us substitute the points in the formula
Thus, we have,
[tex]m=\frac{-5-(-1)}{-2-3}[/tex]
Simplifying, we get,
[tex]m=\frac{-5+1}{-2-3}[/tex]
Adding the numerator and denominator, we have,
[tex]m=\frac{-4}{-5}[/tex]
Cancelling the negative terms, we get,
[tex]m=\frac{4}{5}[/tex]
Thus, the slope of the line is [tex]m=\frac{4}{5}[/tex]
Therefore, Option C is the correct answer.
Two trains leave the station at the same time. One is traveling east at rate of 78mph. The other is traveling west at rate of 72 mph. How long to they have to travel until they are 1,162.5 miles apart?
Answer:
The time the both trains have to travel for making a distance of 1162.5 miles apart T = 7.75 hour
Step-by-step explanation:
Speed of the first train = 78 [tex]\frac{mi}{h}[/tex]
Speed of the second train = 72 [tex]\frac{mi}{h}[/tex]
Suppose the both trains have to travel for time = T hour
The distance traveled by first train ( [tex]D_{1}[/tex] ) = Speed × time
⇒ [tex]D_{1}[/tex] = 78 × T --------- (1)
The distance traveled by second train ( [tex]D_{2}[/tex] ) = 72 × T --------- (2)
Total distance D = [tex]D_{1}[/tex] + [tex]D_{2}[/tex]
⇒ D = 78 × T + 72 × T
⇒ 1162.5 = 150 T
⇒ T = 7.75 hour
This is the time the both trains have to travel for making a distance of 1162.5 miles apart.
1. Graph the polar equation
2. Find each quotient and express it in rectangular form.
2(cos150°+isin150°)/ 8(cos210°+isin210°)
-0.22+0.12i
1/4[sin(-60°)+icos(-60°)]
0.12-0.22i
1/4[cos(-60°)+isin(-60°)]
3. Write the rectangular equation (x+5)^2+y^2=25 in polar form.
R= -10sin theta
R= 5
R= 5cos theta
R= -10cos theta
To graph the polar equation, plot points based on r and θ values. To express the quotient of complex numbers in rectangular form, operate division, simplify, then convert. To convert a rectangular equation to polar form, substitute x and y with their polar form.
Explanation:1. To graph the polar equation, you would plot points based on the r (magnitude/distance) and θ (angle) values from the origin (0,0). As you've not provided the specific polar equation, I cannot provide a full step-by-step explanation.
2. To divide complex numbers and express the quotient in rectangular form, you multiply the numerator and the denominator by the conjugate of the denominator, simplify, and convert the result into rectangular coordinates (x+iy) form. For example,
2(cos150° + isin150°) / 8(cos210° + isin210°)
After calculating the division, you end up with the cosine and sine of an angle in the numerator. Then, convert this to rectangular form. Unfortunately, as Brainly platform constraints, computational solutions cannot be provided through this medium.
3. To convert the rectangular equation (x+5)^2+y^2=25 in polar form, replace x = rcosθ and y = rsinθ in the equation. Then simplify the equation to get a polar equation.
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A dog food company wishes to test a new high-protein formula for puppy food to determine whether it promotes faster weight gain than the existing formula for that puppy food. Puppies participating in an experiment will be weighed at weaning (when they begin to eat puppy food) and will be weighed at one-month intervals for one year. In designing this experiment, the investigators wish to reduce the variability due to natural differences in puppy growth rates. Which of the following strategies is most appropriate for accomplishing this?
A) Block on dog breed and randomly assign puppies to existing and new formula groups within each
breed.
B) Block on geographic location and randomly assign puppies to existing and new formula groups
within each geographic area.
C) Stratify on dog breed and randomly sample puppies within each breed. Then assign puppies by
breed to either the existing or the new formula.
D) Stratify on geographic location of the puppies and randomly sample puppies within each
geographic area. Then assign puppies by geographic area to either the existing or the new formula
E) Stratify on gender and randomly sample puppies within gender groups. Then assign puppies by
gender to either the existing or the new formula.
To reduce the variable of natural differences in puppy growth rates, the investigators should block on dog breed. Breed significantly impacts growth rates compared to geographic location or gender.
Explanation:In designing an experiment to test whether a new high-protein puppy food promotes faster weight gain than an existing formula, the strategy that would most effectively reduce variability due to natural differences in puppy growth rates would be option A- Block on dog breed and randomly assign puppies to existing and new formula groups within each breed.
Puppy growth rates can vary significantly by breed, with larger breeds often growing faster than smaller ones. By blocking on breed, the researchers can ensure that any differences in weight gain are due to the food, not differences in breed-specific growth rates.
The other strategies - blocking or stratifying on geographic location, or stratifying on gender - would not be as effective, because these factors have less influence on a puppy's growth rate compared to its breed.
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A survey of 550 male managers and 650 female managers was conducted. All 1,200 managers identified whether, for each of six characteristics, the characteristic is important to consider when hiring a new employee. For each of the six characteristics, the percent of managers surveyed who identified that characteristic as important to consider is given in the following table. SURVEY RESULTSCharacteristic Percent Work Experience 72%Proficiency in English 68%Ability to Follow Directions 65%Specific Occupational Skill 60%Computer Expertise 58%Appropriate Attire and Behaviour 55%The number of managers surveyed who identified work experience as an important characteristic to consider was approximately what percent greater than the number who identified appropriate attire and behavior as an important characteristic to consider?
A. 15%
B. 20%
C. 25%
D. 30%
E. 35%
Answer:
Correct option is (B). 20%.
Step-by-step explanation:
The number of managers is, 1200.
The percentage of managers who identified work experience as an important characteristic to consider is, P (W) = 72%.
The percentage of managers who identified appropriate attire and behavior as an important characteristic to consider is, P (AB) = 55%.
Compute the number of managers who identified work experience as an important characteristic to consider as follows:
[tex]n(W)=1200\times P(W)\\=1200\times\frac{72}{100}\\=864[/tex]
Compute the number of managers who identified appropriate attire and behavior as an important characteristic to consider as follows:
[tex]n(AB)=1200\times P(AB)\\=1200\times\frac{55}{100}\\=660[/tex]
Compute approximately what percent greater is P (W) than P (AB) as follows:
[tex]P(W>AB)=\frac{n(W)-n(AB)}{1200}=\frac{864-660}{1200}=\frac{204}{1200}=0.17\approx0.20[/tex]
Thus, the number of managers surveyed who identified work experience as an important characteristic to consider was approximately 20% percent greater than the number who identified appropriate attire and behavior as an important characteristic to consider.
Correct option is (B).
Solve the two-step equation. − 2 3 x – 21 4 = 27 4
Answer:
Step-by-step explanation:
I'm going to assume that the problem is -23x -214 = 274
And in that case...
1. First isolate the x-value by adding 214 to both sides of the equation:
-23x = 488
2. Then, divide both sides by -23 to truly get x alone:
x = [tex]-\frac{488}{23}[/tex] or -21.22
Answer:
x = -18
Add the opposite of the constant on the left:
-2/3x = 21/4 +27/4 = 48/4 = 12
Multiply the equation by the inverse of the coefficient of x:
x = (-3/2)(12) = -18
The solution is x = -18.
Step-by-step explanation:
Last year, 31 2 acres of strawberry fields produced approximately 14,700 pounds of strawberries. This year the number of acres planted with strawberries increased to 5 acres. Use proportional reasoning to estimate the farm's income from the sale of strawberries this year.
So in 5 acres of land produces 21,000 pounds of strawberries.
Step-by-step explanation:
Step 1:
Last year, [tex]3\frac{1}{2}[/tex] acres i.e 3.5 acres produced 14,700 pounds of strawberries. So we need to determine how many strawberries were produced per acre.
To do this we divide the total number of strawberries produced by the number of acres it was produced in.
The number of strawberries produced per acre[tex]= \frac{14,700}{3.5} = 4,200[/tex] pounds.
Step 2:
To determine the number of strawberries in 5 acres of land, we multiply the number of strawberries per acre by the number of acres.
The number of strawberries produced in 5 acres[tex]= 5(4,200) = 21,000[/tex] pounds.
So in 5 acres of land produces 21,000 pounds of strawberries.
Fill each blank with sometimes, always or never to make each statement true
a. the diagonals of a parallelogram_______ bisect each other.
b. the opposite sides of a parallelogram will_________ have different lengths
c. parallelograms are________ rectangles
Answer:
a.always
b.never
c.sometimes
Final answer:
The blank spaces in the statements regarding properties of parallelograms should be filled with 'always' for diagonals bisecting each other, 'always' for opposite sides having the same length, and 'sometimes' when referring to parallelograms being rectangles, as not all parallelograms have right angles.
Explanation:
The given question asks you to fill in the blanks with sometimes, always, or never to make each statement about a parallelogram true. Here are the completed statements with explanations:
The diagonals of a parallelogram always bisect each other.The opposite sides of a parallelogram will always have the same length. (Here 'always' is used to imply that because it's a property of parallelograms, the opposite sides will indeed be equal in length.)Parallelograms are sometimes rectangles. (This is true because rectangles are a specific type of parallelogram with right angles, but not all parallelograms are rectangles.)To understand these properties, consider that a parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. Additionally, the diagonals of a parallelogram bisect each other, which means they cut each other exactly in half at the point where they cross. This property is invariant under any affine transformation, so it holds true regardless of how the parallelogram is oriented or scaled.
ASAP
Brianna invested $480 in an account paying an interest rate of 6 1/2% compounded continuously. Adam invested $480 in an account paying an interest rate of 6 3/4 % compounded quarterly. To the nearest hundredth of a year, how much longer would it take for Brianna's money to double than for Adam's money to double?
Answer: it would take 7 years more for Brianna's money to double than for Adam's money to double
Step-by-step explanation:
Considering Brianna's investment,
The formula for continuously compounded interest is
A = P x e (r x t)
Where
A represents the future value of the investment after t years.
P represents the present value or initial amount invested
r represents the interest rate
t represents the time in years for which the investment was made.
e is the mathematical constant approximated as 2.7183.
From the information given,
P = $480
r = 6.5% = 6.5/100 = 0.065
A = 2 × 480 = $960
Therefore,
960 = 1800 x 2.7183^(0.065 x t)
960/1800 = 2.7183^(0.065t)
2 = 2.7183^(0.065t)
Taking ln of both sides, it becomes
Ln 2 = 0.065tln2.7183
0.693 = 0.065t
t = 0.693/0.065
t = 10.66
Approximately 17 years
Considering Adam's investment, we would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = 480
A = 960
r = 6.75% = 6.75/100 = 0.0675
n = 4 because it was compounded 4 times in a year.
Therefore,.
960 = 480(1 + 0.0675/4)^4 × t
960/480 = (1 + 0.016875)^4t
960/480 = (1.016875)^4t
Taking log of both sides, it becomes
Log 2 = 4t log 1.016875
0.301 = 0.0291t
t = 0.301/0.0291
t = 10.34
Approximately 10 years
Will Give BRAINLIEST for CORRECT answer! Please Help! A can of vegetables holds 454 mL of food and is 4.5 in. tall. What is the diameter of the can? Please how all steps!!
Answer: the diameter of the can is 2.8 inches
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
From the information given,
height = 4.5 inches
Volume of can = 454 millilitres
1 cubic inch = 16.387 millilitres
Converting 454 millilitres to cubic inches, it becomes
454/16.387 = 27.7 cubic inches
Therefore
27.7 = 3.14 × r² × 4.5
27.7 = 14.13r²
r² = 27.7/14.13
r² = 1.96
r = √1.96
r = 1.4
Diameter = 2 × radius
Diameter = 2 × 1.4 = 2.8 inches
A home owner has a monthly budget of $400 to spend on their homes landscaping. If they spent 35% of their budget this month on landscaping, how much was spent?
Answer:
$140
Step-by-step explanation:
If the Monthly Budget for Landscaping=$400
and the Percentage of Landscaping Budget Spent this Month=35%
The Amount Spent on Landscaping=35% of Total Landscaping Budget
=35 percent of $400
Recall that percentage is always over 100, therefore 35%=35/100
=[tex]\frac{35}{100}X400[/tex]
=$140
The homeowner spent $140 on landscaping this month.
Answer:
$260 was spent.
Step-by-step explanation:
The main problem is about proportion, specifically direct proportion.
$400 is the total budget, wich means is 100% of the budget.
They spent 35%, so we need to substract the amount of spent budget to total budget, in order to know how much was spent, we will call it remaining budget:
total budget=100%
spent budget=35%
remaining budget=total budget - spent budget
remaining budget= 100% - 35% = 65%
remaining budget= %65
As a result of the substraction we have the percentage of remaining budget, 65%. The next step is to transform that percentage into an amount of money. To do that we use the Mathematical Rule of Three.
The Rule of Three is a method to solve direct proportion problems, when we have three quantities related to each other. For this case %100 equals $400 and %65 equals to unknown, that's the cuantitie we want to know, that is, remaining budget, as shown below:
%100 -> $400
%65 -> x
On a general form it could be understood as a relation between a-b and c-x:
a -> b
c -> x
Next we will apply the following formula
[tex]x= \frac{c*b}{a} [\tex]
For this case:
[tex]x= \frac{65*400}{100} [\tex]
[tex]x= $260[\tex]
The remaining budget is $260
Noah bought a new car costing 25350. He made a 20% down payment on the car and financed the remaining cost of the car for 5 years at 6.5%. How much interest did Noah pay on his car loan?
Answer: Noah paid $6591 on his car loan.
Step-by-step explanation:
The amount of money paid as down payment for the car is
20/100 × 25350 = 5070
Therefore, the amount paid to finance the remaining cost of the car is
25350 - 5070 = $20280
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the loan.
P represents the principal or amount taken as loan
R represents interest rate
T represents the duration of the loan in years.
From the information given,
P = 20280
R = 6.5%
T = 5 years
I = (20280 × 6.5 × 5)/100 = $6591
Answer:its $6591
Step-by-step explanation:
The amount of money paid as down payment for the car is
20/100 × 25350 = 5070
Therefore, the amount paid to finance the remaining cost of the car is
25350 - 5070 = $20280
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the loan.
P represents the principal or amount taken as loan
R represents interest rate
T represents the duration of the loan in years.
From the information given,
P = 20280
R = 6.5%
T = 5 years
I = (20280 × 6.5 × 5)/100 = $6591
IXL Geometry help pls !
Answer:
Step-by-step explanation:
It’s 34
Answer:
The answer to your question is Area = 9 yd²
Step-by-step explanation:
Data
Big square Small square
Area = 36 yd² Area = x
Side = 6 yd Side = 3 yd
Process
1.- Use the formula of Area of a square to find it
Area = side x side
2.- Substitution
Area = 3 x 3
3.- Simplification and result
Area = 9 yd²
Two ships leave a harbor together, traveling on courses that have an angle of 135°40' between them. If they each travel 402 miles how far apart are they?
Final answer:
The distance between two ships leaving a harbor can be calculated using vector addition and the cosine law formula, resulting in an approximate distance of 565 miles.
Explanation:
The distance between the two ships can be calculated using vector addition.
To find the distance apart, we can add the vectors representing the paths of the two ships. Using the cosine law formula, we calculate the magnitude of the resultant vector to be approximately 565 miles.
A square kitchen floor has an area of 500 square feet. Estimate the length one wall to the nearest tenth of a foot. Someone please help me with this question. I'm really stumped XD
The 32 species that make up the dolphin family are closely related to whales and in fact include the animal known as the killer whale, which can grow to be 30 feet long and is famous for its aggressive hunting pods.
(A) include the animal known as the killer whale,which can grow to be 30 feet long and is
(B) include the animal known as the killer whale,growing as big as 30 feet long and
(C) include the animal known as the killer whale,growing up to 30 feet long and being
(D) includes the animal known as the killer whale,which can grow as big as 30 feet long and is
(E) includes the animal known as the killer whale,which can grow to be 30 feet long and it is
Answer:
A
Step-by-step explanation:
- Generally, the agent of a COMMA + VERBing modifier must be the nearest preceding SUBJECT.
- B and C: The 32 species...include the animal known as the killer whale, growing
- Here, COMMA + growing seems to refer to the 32 species -- the nearest preceding subject -- implying that the SPECIES are GROWING.
Not the intended meaning.
- The intended meaning of the original sentence is that THE KILLER WHALE can GROW.
Eliminate B and C.
- In D and E, includes (singular) does not agree with the 32 species (plural).
Eliminate D and E.
- the correct answer is A
The correct answer is option (A). include the animal known as the killer whale,which can grow to be 30 feet long
To determine this, we need to ensure the sentence maintains proper subject-verb agreement and logical consistency. The primary subject is 'The 32 species that make up the dolphin family,' which is plural.
Therefore, the verb 'include' is correct, rather than 'includes' which would be for a singular subject.
Additionally, 'which can grow to be 30 feet long and is' clearly and correctly describes the killer whale.
The correct answer to this question is (A) include the animal known as the killer whale, which can grow to be 30 feet long and is.
Find the value of c that makes each trinomial a perfect square.
x^2-13x+c
Answer:
169/4
Step-by-step explanation:
x² - 13x + c
x² -2(x)(13/2) +(13/2)²
(13/2)² = 169/4 or 42 ¼
dont skip please
In which quadrant would point (2, -5) be located?
Quadrant II
Quadrant III
Quadrant IV
Quadrant I
Answer:
This would be quad III
Step-by-step explanation:
Solve the following equation: -3 = 1 3/5 + m.
-2 3/5
-4 3/5
-4 2/5
-1 25
Answer:
-4 2/5
Step-by-step explanation:
College basketball team has won 14 games and lost 6 games. If they continue to win at this rate, how many games would the team win in a 50 game schedule?
Answer:
42 games
Step-by-step explanation:
If the college basketball team has won 14 games and lost 6 games,
The Probability of recording a win is given as:
Probability(of a win)[tex]=\frac{Number of Outcomes }{Total Number o trials}[/tex]=[tex]\frac{14}{20}[/tex]
In experimental probability, this can also be taken as the Relative Frequency of a win.
Therefore: Number of Expected Wins
=Relative Frequency of a win X Total Number of Trials
[tex]\frac{14}{20}X60=42[/tex]
The team would expect to win 42 games in a 60 game schedule
Final answer:
The team would win 35 games in a 50 game schedule.
Explanation:
To find out how many games the team would win in a 50 game schedule, we can use a proportion. The team has won 14 out of 20 games so far, which can be written as 14/20. We can set up a proportion with x representing the number of games the team would win in a 50 game schedule:
14/20 = x/50
Now we can cross-multiply and solve for x:
20x = 14 * 50
20x = 700
x = 700/20
x = 35
So, if they continue to win at this rate, the team would win 35 games in a 50 game schedule.
Few students manage to complete their schooling without taking a standardized admissions test such as the Scholastic Achievement Test, or SAT (used for admission to college); the Law School Admissions Test, or LSAT; and the Graduate Record Exam, or GRE (used for admission to graduate school). Sometimes, these multiple-choice tests discourage guessing by subtracting points for wrong answers. In particular, a correct answer will be worth +1 point, and an incorrect answer on a question with five listed answers (a through e) will be worth −1/4 points.
What is the expected value of eliminating one answer and guessing among the remaining four possible answers?
What is the expected value of eliminating three answers and guessing between the remaining two possible answers?
Answer:
Step-by-step explanation:
Assuming there is a punitive removal of one point for an incorrect response.
Five undiscernable choices: 20% chance of guessing correctly -- Expectation: 0.20*(1) + 0.80*(-1) = -0.60
Four undiscernable choices: 25% chance of guessing correctly -- Expectation: 0.25*(1) + 0.75*(-1) = -0.50
I'll use 0.33 as an approzimation for 1/3
Three undiscernable choices: 33% chance of guessing correctly -- Expectation: 0.33*(1) + 0.67*(-1) = -0.33 <== The approximation is a little ugly.
Two undiscernable choices: 50% chance of guessing correctly -- Expectation: 0.50*(1) + 0.50*(-1) = 0.00
And thus we see that only if you can remove three is guessing neutral. There is no time when guessing is advantageous.
One Correct Answer: 100% chance of guessing correctly -- Expectation: 1.00*(1) + 0.00*(-1) = 1.00
The expected value of eliminating one answer and guessing among the remaining four possible answers is 1/16. The expected value of eliminating three answers and guessing between the remaining two possible answers is 3/8.
Explanation:To find the expected value of eliminating one answer and guessing among the remaining four possible answers, we need to consider the probabilities associated with each outcome.
Since there are four possible answers remaining, the probability of guessing the correct answer is 1/4. The value of getting the correct answer is +1, and the value of getting it wrong is -1/4. Therefore, the expected value is:
Expected Value = (Probability of Correct Answer * Value of Correct Answer) + (Probability of Wrong Answer * Value of Wrong Answer)
Expected Value = (1/4 * 1) + (3/4 * (-1/4)) = 1/4 - 3/16 = 1/16.
So, the expected value of eliminating one answer and guessing among the remaining four possible answers is 1/16.
For eliminating three answers and guessing between the remaining two possible answers, the probabilities change.
Since there are now two possible answers remaining, the probability of guessing the correct answer is 1/2. The value of getting the correct answer is +1, and the value of getting it wrong is -1/4. Therefore, the expected value is:
Expected Value = (Probability of Correct Answer * Value of Correct Answer) + (Probability of Wrong Answer * Value of Wrong Answer)
Expected Value = (1/2 * 1) + (1/2 * (-1/4)) = 1/2 - 1/8 = 3/8.
So, the expected value of eliminating three answers and guessing between the remaining two possible answers is 3/8.
Learn more about Expected Value here:https://brainly.com/question/37190983
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In a certain region, about 6% of a city's population moves to the surrounding suburbs each year, and about 4% of the suburban population moves into the city. In 2015, there were 10,000,000 residents in the city and 800,000 in the suburbs. Set up a difference equation that describes this situation, where Subscript[x, 0] is the initial population in 2015. Then estimate the populations in the city and in the suburbs two years later, in 2017.
Answer:
City @ 2017 = 8,920,800
Suburbs @ 2017 = 1, 897, 200
Step-by-step explanation:
Solution:
- Let p_c be the population in the city ( in a given year ) and p_s is the population in the suburbs ( in a given year ) . The first sentence tell us that populations p_c' and p_s' for next year would be:
0.94*p_c + 0.04*p_s = p_c'
0.06*p_c + 0.96*p_s = p_s'
- Assuming 6% moved while remaining 94% remained settled at the time of migrations.
- The matrix representation is as follows:
[tex]\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] \left[\begin{array}{c}p_c\\p_s\end{array}\right] = \left[\begin{array}{c}p_c'\\p_s'\end{array}\right][/tex]
- In the sequence for where x_k denotes population of kth year and x_k+1 denotes population of x_k+1 year. We have:
[tex]\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] x_k = x_k_+_1[/tex]
- Let x_o be the populations defined given as 10,000,000 and 800,000 respectively for city and suburbs. We will have a population x_1 as a vector for year 2016 as follows:
[tex]\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] x_o = x_1[/tex]
- To get the population in year 2017 we will multiply the migration matrix to the population vector x_1 in 2016 to obtain x_2.
[tex]x_2 = \left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right]\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] x_o[/tex]
- Where,
[tex]x_o = \left[\begin{array}{c}10,000,000\\800,000\end{array}\right][/tex]
- The population in 2017 x_2 would be:
[tex]x_2 = \left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right]\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] \left[\begin{array}{c}10,000,000\\800,000\end{array}\right] \\\\\\x_2 = \left[\begin{array}{c}8,920,800\\1,879,200\end{array}\right][/tex]
The estimated populations in 2017 are approximately 9,792,000 for the city and 807,360 for the suburbs
To set up the difference equation for this situation, let's denote the city population in a given year as [tex]\( C_n \)[/tex] and the suburban population as [tex]\( S_n \),[/tex] where [tex]\( n \)[/tex] represents the number of years since 2015. The initial populations in 2015 are given as [tex]\( C_0 = 10,000,000 \)[/tex] and[tex]\( S_0 = 800,000 \)[/tex].
Each year, 6% of the city's population moves to the suburbs, which can be represented as [tex]\( 0.06C_n \)[/tex]. Similarly, 4% of the suburban population moves into the city, which is [tex]\( 0.04S_n \).[/tex]
The difference equations describing the change in population each year are:
[tex]\[ C_{n+1} = C_n - 0.06C_n + 0.04S_n \][/tex]
[tex]\[ S_{n+1} = S_n + 0.06C_n - 0.04S_n \][/tex]
Now, let's calculate the populations for 2016 (one year after 2015,[tex]\( n = 1 \))[/tex]:
[tex]\[ C_1 = C_0 - 0.06C_0 + 0.04S_0 \][/tex]
[tex]\[ S_1 = S_0 + 0.06C_0 - 0.04S_0 \][/tex]
Plugging in the initial values:
[tex]\[ C_1 = 10,000,000 - 0.06 \times 10,000,000 + 0.04 \times 800,000 \][/tex]
[tex]\[ S_1 = 800,000 + 0.06 \times 10,000,000 - 0.04 \times 800,000 \][/tex]
Calculating the values:
[tex]\[ C_1 = 10,000,000 - 600,000 + 32,000 \][/tex]
[tex]\[ S_1 = 800,000 + 600,000 - 32,000 \][/tex]
[tex]\[ C_1 = 9,432,000 \][/tex]
[tex]\[ S_1 = 1,368,000 \][/tex]
Next, we calculate the populations for 2017 [tex](\( n = 2 \)):[/tex]
[tex]\[ C_2 = C_1 - 0.06C_1 + 0.04S_1 \][/tex]
[tex]\[ S_2 = S_1 + 0.06C_1 - 0.04S_1 \][/tex]
Using the populations from 2016:
[tex]\[ C_2 = 9,432,000 - 0.06 \times 9,432,000 + 0.04 \times 1,368,000 \][/tex]
[tex]\[ S_2 = 1,368,000 + 0.06 \times 9,432,000 - 0.04 \times 1,368,000 \][/tex]
Calculating the values:
[tex]\[ C_2 = 9,432,000 - 565,920 + 54,720 \][/tex]
[tex]\[ S_2 = 1,368,000 + 565,920 - 54,720 \][/tex]
[tex]\[ C_2 = 9,792,000 \][/tex]
[tex]\[ S_2 = 807,360 \][/tex]
Before polling the students in Scion School of Business, a researcher divides all the current students into groups based on their class standing, such as freshman, sophomores, and so on. Then, she randomly draws a sample of 50 students from each of these groups to create a representative sample of the entire student body in the school. Which of the following sampling methods is the researcher practicing? 1. stratified random sampling 2. simple random sampling 3. cluster sampling 4. systematic random sampling 5. snowball sampling
Answer:
1. Stratified Random Sampling
Step-by-step explanation:
Sampling is a technique of drawing small number of representative units from population.
Stratified Random Sampling is when population is divided into : heterogenous (different) groups, homogeneous (identical) within themselves - known as Strata.
Process of drawing Sample from each such strata group is called Stratified Random Sampling. This sampling makes sample better representative of various groups in population. Eg : Dividing population in strata based on gender , religion etc & then drawing sample from each strata.
Researcher dividing students into - freshman, sophomores & other groups ; then drawing sample from each group is an example of Stratified Sampling. It creates representative sample of each student body in school .
The researcher is practicing stratified random sampling by dividing the students into groups based on their class standing and randomly selecting a sample from each group.
Explanation:The researcher is practicing stratified random sampling.
In stratified random sampling, the population is divided into homogeneous groups called strata. The researcher then randomly selects a sample from each stratum to create a representative sample of the entire population.
In this case, the researcher divided the students into groups based on their class standing and randomly selected 50 students from each group.
This ensures that the sample includes students from all class standings and accurately represents the entire student body of the Scion School of Business.