Answer:
Finding the mean is very simple, add them all together and divide that sum by the number of data points you have; in this case there are 45
Step-by-step explanation:
[tex]\frac{74+67+74.25+64+72+...}{45}[/tex] = mean
What is the first step to take when solving this linear system of equations by the addition-subtraction method? 2x + 4y = 3 x + 3y =13 A) solve for y in terms of x B) solve for x in terms of y C) multiply the first equation by ?2 D) multiply the second equation by ?2
Answer:c
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
multiply the second equation by −2
In the addition-subtraction method, the two equations in the system are added or subtracted to create a new equation in one variable. In order for the new equation to have only one variable, the other variable must cancel out.
multiply the second equation by −2:
2x + 4y = 4
−2x − 6y = −26
→ −2y = −22
When you purchase an item in a store, you may be charged __________. Income tax capital gains tax sales tax property tax
Sales tax
At least 20 characters blahhhhh
Answer:
The answer is sales tax.
Step-by-step explanation:
When you purchase an item in a store, you may be charged sales tax.
A sales tax is imposed on the buyer, when he purchases something. This tax is imposed by the government on the sale of goods and services.
A typical sales tax is applied at the point of sale and collected by the retailer or seller and then passed on to the government.
WILL GIVE BRAINLIEST
20 POINTS
Step-by-step explanation:
hope it helps you!!!!!!!!!!!
Answer:
x = - 3
Step-by-step explanation:
Given the 2 equations
y = [tex]\frac{1}{3}[/tex] x + 7 → (1)
y = 3x + 15 → (2)
Since both equations express y in terms of x, equate the right sides
3x + 15 = [tex]\frac{1}{3}[/tex] x + 7
Subtract [tex]\frac{1}{3}[/tex] x from both sides
[tex]\frac{8}{3}[/tex] x + 15 = 7 ( subtract 15 from both sides )
[tex]\frac{8}{3}[/tex] x = - 8 ( multiply both sides by 3 )
8x = - 24 ( divide both sides by 8 )
x = - 3
The sum of all the digits used to write the whole numbers 10 through 13 is $1 + 0 + 1 + 1 + 1 + 2 + 1 + 3 = 10$. what is the sum of all the digits used to write the whole numbers 1 through 110, inclusive?
First get the sum of digits 0 through 9: 0+1+2+...+9=45. Call this sum S for short.
Then notice that the sum of the digits for 10 through 19 is the sum S + 10.
Then notice that the sum of digits 20 through 29 is S + 20, and do so until you hit 100. 100 through 109 is the same as 10 though 19 which you know is S + 10, and finally add the sum of digits of 110, i.e., 2.
Total = S + (S + 10) + (S + 20) + ... + (S + 90) + (S + 10) +2 =
= 11 * S + 10 * (S + 1) + 2 = 11 * 45 + 10 * 46 + 2 = 957
Answer:
957
Step-by-step explanation:
We first calculate the sum of all digits used to write the whole numbers 0 through 99. If we consider all such numbers as two-digit (e.g. write 04 instead of 4), the sum of digits will be unchanged. Then we see that each digit appears an equal number of times in the ones place, and similarly for the tens place, meaning it appears a total of $2\cdot \frac{100}{10} = 20$ times. Thus the sum of all digits used to write the whole numbers 00 through 99 is $20\cdot (0 + 1 +\cdots + 8 + 9) = 900$. The sum of the digits from 100 to 110 is just $(1 + 0) + (1 + 1) + (1 + 2) + \cdots + (1+9) + 2 = 57$. Thus our final answer is $900 + 57 = \boxed{957}$.
Help me on my geometry homework
Answer: hell na
Step-by-step explanation:
Answer:12
Step-by-step explanation:
(15x-26)+26=180
15x=180
X=12
Sabrina threw a coin from a building 160ft high at an initial speed of 30 feet per second. How many seconds will it take for the coin to hit the ground?
Hope I get an answer with solutions! :))
Answer:
4.2
Step-by-step explanation:
The equation i used was -16t^2+30x+160
A bacteria culture begins with 13 bacteria which triple in amount at the end of every hour. How many bacteria are grown during the 10th hour?
Answer:
255,879
Geometric Sequence Formula
[tex]a_n = a1r^{(n-1)}\\\\a_1 :13\\\\r:3\\\\n:10\\[/tex]
Steps:
[tex]a_1_0=13 (3)^{(10-1)}\\\\a_1_0=13(3)^{(9)}\\\\a_1_0=(13)19683\\\\a_1_0=255,879[/tex]
The tech ed teacher needs to cut boards for the 6th grade propeller project that are 3/4 feet long.How many propellers can he get out of a board that is 1/2 feet long.
Answer:
zero
Step-by-step explanation:
1/2 feet is less than 3/4 feet, so is insufficient length for even one propeller. No propellers can be cut from the board.
Which of the sets of ordered pairs represents a function?
A = {(2, −2), (5, −5), (−2, 2), (−5, 5)}
B = {(4, 2), (4, −2), (9, 3), (9, −3)}
For something to be a function, the input (x value) can ONLY HAVE ONE output (y value), so if x has multiple outputs, it is not a function
B is not a function because x = 2 and x = 9 has 2 outputs
Your answer is A
Answer:
Step-by-step explanation:
A represents a function. Why? Because all the x-values are unique (no duplications).
B does not represent a function. Why? Because the input 4 is repeated and has different y-values for this one input, and similarly the input 9 is repeated.
what is 3053.63 rounded to the nearest hundredth?
3053.63 is already rounded to the nearest hundredth
After rounded to the nearest hundredth, then the number will be the same as 3053.63 because it is already rounded off.
What is rounding off number?Rounding is a method of converting a large number to a smaller, simpler number that is very near to the original. There are numerous methods for rounding numbers.
We have number:
= 3053.63
It has total 4 digits before the decimal.
After the decimal has only two digits
After rounded to the nearest hundredth, then the number will be the same as 3053.63 because it is already rounded off.
Thus, after rounded to the nearest hundredth, then the number will be the same as 3053.63 because it is already rounded off.
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Find a logarithmic function to model the data.
x y
1 60
2 54
3 51
4 50
5 46
6 45
7 44
f(x) = 60.73(0.95)x Please help:(
f(x) = 0.93(60.73)x
f(x) = 60.04 – 8.25 ln x
f(x) = 8.25 – 60.04 ln x
Answer:
f(x) = 60.04 – 8.25 ln x
Step-by-step explanation:
A suitable calculator can find the regression formula coefficients for you.
f(x) = 60.04 – 8.25 ln(x)
_____
The attachment shows the calculator's computation of the model parameters (a₁ and b₁), and is also shows how these parameters might be calculated by hand (a₂ and b₂). The manual calculation involves taking the logarithms of the x-values and computing various means involving those and the y-values. These calculations are easily done on a graphing calculator or spreadsheet, but such a device will also likely be able to compute the regression equation for you.
_____
Comment on answer choices
You can eliminate the first two answer selections because these are not formulas that are logarithmic functions. You can eliminate the last choice because it models values near 8, not near 60. Thus, you can choose the correct answer without knowing much about how to make a logarithmic model.
Find the value of csc theta ; if cos theta= -1/4 ; 180° < theta < 270°.
can y'all explain your answer for me lol
A.) 4/-15
B.) 4/√15
C.) -4
D.) -4/√15
Answer:
D
Step-by-step explanation:
Using the trigonometric identities
• cscx = [tex]\frac{1}{sinx}[/tex]
• sin²x + cos²x = 1
Given
cosΘ = - [tex]\frac{1}{4}[/tex] , 180 < Θ < 270
then Θ is in the third quadrant where sinΘ < 0
sinx = - [tex]\sqrt{1-cos^2x}[/tex]
sinΘ = - [tex]\sqrt{1-(-1/4)^2}[/tex] = - [tex]\sqrt{\frac{15}{16} }[/tex] = -[tex]\frac{\sqrt{15} }{4}[/tex]
Hence
cscΘ = [tex]\frac{1}{-\frac{\sqrt{15} }{4} }[/tex] = - [tex]\frac{4}{\sqrt{15} }[/tex]
The vertices of triangle EFG are listed below.
What is the approximate perimeter of triangle EFG?
A. 21.21 units
B. 12.21 units
C. 36.05 units
D. 12.16 units
Answer:
Option A. [tex]21.21\ units[/tex]
Step-by-step explanation:
we know that
The perimeter of a triangle is equal to the sum of its three side lengths
so
[tex]P=EF+FG+EG[/tex]
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
we have
[tex]E(5,4),F(9,1),G(5,-5)[/tex]
step 1
Find the distance EF
[tex]E(5,4),F(9,1)[/tex]
substitute in the formula
[tex]EF=\sqrt{(1-4)^{2}+(9-5)^{2}}[/tex]
[tex]EF=\sqrt{(-3)^{2}+(4)^{2}}[/tex]
[tex]EF=\sqrt{25}[/tex]
[tex]EF=5\ units[/tex]
step 2
Find the distance FG
[tex]F(9,1),G(5,-5)[/tex]
substitute in the formula
[tex]FG=\sqrt{(-5-1)^{2}+(5-9)^{2}}[/tex]
[tex]FG=\sqrt{(-6)^{2}+(-4)^{2}}[/tex]
[tex]FG=\sqrt{52}[/tex]
[tex]FG=7.21\ units[/tex]
step 3
Find the distance EG
[tex]E(5,4),G(5,-5)[/tex]
substitute in the formula
[tex]EG=\sqrt{(-5-4)^{2}+(5-5)^{2}}[/tex]
[tex]EG=\sqrt{(-9)^{2}+(0)^{2}}[/tex]
[tex]EG=\sqrt{81}[/tex]
[tex]EG=9\ units[/tex]
step 4
Find the perimeter
[tex]P=EF+FG+EG[/tex]
[tex]P=5+7.21+9=21.21\ units[/tex]
A local radio station surveyed people going into a grocery store about whether or not they liked country and if they listed to that station. The results are shown in the table.
Is listening to the radio station independent of liking country music? Explain.
A) No, the probability of not liking country is the same as the probability of not liking country given that they listen to the station.
B) Yes, the probability of not liking country is the same as the probability of not liking country given that they listen to the station.
C) No, the probability of not liking country is different from the probability of not liking country given that they listen to the station.
D) Yes, the probability of not liking country is different from the probability of not liking country given that they listen to the station.
Answer:
B
Step-by-step explanation:
51 /22= 2.3
19/8=2.3
The correct option is D) Yes, the probability of not liking country is different from the probability of not liking country given that they listen to the station.
What is the probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.
Given that, a local radio station surveyed people going into a grocery store about whether or not they liked country and if they listed to that station,
We need to determine that if listening to the radio station independent of liking country music,
So, here the answer will be yes, because both the events are not connected to each other.
The probability of not liking or liking the country music is nowhere related to whether a person is listening to the radio station or not.
Hence, the correct answer is D
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someone please help me answer this i have about 20 min left to this quiz and this is the last question.
The regression line modeling the number of push-ups Juan does each day is y = 0.631x + 0.0357.
Which one doesn't explain the graph correctly?
1. There is a negative correlation between time (in days) and the number of push-ups Juan does.
2. Juan increases the number of push-ups he does by about 0.631 each day.
3. The response variable is the number of push-ups
4. The explanatory variable is time (days)
Answer:
The correct Answer is C: The response variable is the number of push-ups. Good luck kid!
Step-by-step explanation:
only 2 stuff to do .... :3
Tina designed an electric skateboard that has a speed of 4 miles per hour. She wants to write a function that represents the distance the skateboard will travel over a given amount of time.
Which is the dependent variable in this scenario?
the skateboard
the speed
the distance traveled
the time traveled
Answer:
the distance she travel
trust me
Answer:
doin this so other guy can get brainliest
Step-by-step explanation:
You pick two marbles from a bag and record their color. How can you make your selections independent events? Dependent events?
A. Do not replace marbles after picking them; do replace marbles.
B. Replace marbles after picking them; do not replace marbles.
a do not replace marbles after picking them;do replace marles
For independent events in probability, you should replace the marbles after picking them, as this keeps the likelihood of each draw the same. For dependent events, do not replace the marbles after picking them, as each draw influences the subsequent draws.
Explanation:The concept being discussed here is that of independent and dependent events in probability. When selecting marbles from a bag, the nature of the event (whether it is independent or dependent) depends on whether the marble is replaced after being selected or not.
To make your selections independent events, you should replace the marbles after picking them. This assumes that each event (the selection of a marble) does not affect the outcome of the other events. For example, if you picked a blue marble first and replaced it, the likelihood of picking a blue marble on the second draw remains the same.
On the other hand, to create dependent events, you should not replace the marbles after picking them. The outcome of the first event (e.g., removing a blue marble) directly influences the probability of the next event, because there is now one less blue marble in the bag to choose from.
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Please help :)........
Answer:
SSS
Step-by-step explanation:
Ratio of the corresponding sides of both triangles are equal, so triangles are similar by SSS.
[tex]\frac{6}{9} =\frac{2}{3} \\\frac{14}{21}=\frac{2}{3}\\\frac{16}{24}=\frac{2}{3}[/tex]
A medical company tested a new drug on 100 people for possible side effects. This table shows the results. Compare the probability that an adult has side effects with t he probability that a child has side effects. Draw a conclusion based on your results.
Answer:p(side effects| child)=0.42
P(side effects|adults)=0.12
Step-by-step explanation:
Children are twice as likely as adults to experience side effects from the new drug.
The probability that an adult has side effects is 0.12,
while the probability that a child has side effects is 0.42.
This means that children are more likely to experience side effects from the new drug than adults.
We can calculate the probability of side effects for each group by dividing the number of people who experienced side effects by the total number of people in the group:
Probability of side effects in adults = [tex]\frac{6}{50}[/tex] = 0.12
Probability of side effects in children = [tex]\frac{21}{50}[/tex]= 0.42
We can also see this difference in the table provided. Children are more likely to experience side effects from the new drug than adults.
Children are more likely to experience side effects from the new drug than adults
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PLEASE HELP ME!!!
Kevin is responsible for delivering sacks of grains to a grocery shop on the tenth floor of a departmental store. Each sack weighs 364 pounds and Kevin weighs 150 pounds. The capacity of the elevator is 2,000 pounds. If six sacks are to be taken at a time, what should be the weight of each sack? Question 6 options: at the most 308 pounds at least 308 pounds exactly 308 pounds at the most 803 pounds
At the most 308 pounds / exactly 308 ((2000-150)/6=308) hope it helps
Answer:
At most 308 pounds
Step-by-step explanation:
Let x pounds be the new weight of the sacks,
⇒ The weight of 6 sacks = 6x,
Now, the weight of Kevin = 150 pounds,
Thus, the total weight Kevin and 6 sacks = 150 + 6x,
Given,
The capacity of the elevator is 2,000 pounds,
⇒ 150 + 6x ≤ 2000
⇒ 6x ≤ 2000 - 150 ( Subtraction property of inequality )
⇒ 6x ≤ 1850
⇒ x ≤ 308.33 ≈ 308
Hence, the weight of each sack is approximately atmost 308 pounds.
50 POINTS! WILL MARK BRAINLIEST :)
Answer:
Step-by-step explanation:
__________
Good evening ,
_______________
Here we used A and B properties
Look at the photo below for the explanation,
________
:)
Answer: 2 years ago
Step-by-step explanation: Thanks for the points
Six posts are evenly spaced along a circular wall encasing a fountain. Anna stands at point A, where she cannot see beyond the only two posts visible to her. What is m∠A m ∠ A ?
100°
120°
125°
150°
There are 6 points on a circle.
We have a sum of angles in a circle that is equal to 360°.
Anna can only see 2 points which is a third of a points there are.
That means her spectrum is 360°/3 which is 120°.
The answer is B. 120°.
Hope this helps.
Brainliest would be amazing.
Final answer:
When six posts are evenly spaced around a circle, they divide the circle into six equal sections of 60 degrees each. If Anna can see across two sections, the measure of angle A (m∠A) is 120 degrees.
Explanation:
In this question, we are asked to find the measure of angle A (m∠A) when six posts are evenly spaced along a circular wall. If six posts are evenly distributed around a circle, they divide the circle into six equal sections. Since a circle has 360 degrees, each section between two posts equals 360°/6 = 60°. When Anna stands at point A, she can see across two such sections, so to find the measure of angle A, we simply add the degrees of the two sections:
Measure of angle A (m∠A) = 60° + 60° = 120°
Therefore, the correct answer to the question is 120°, meaning Anna can see an angle of 120 degrees between the two posts that are visible to her from her standing point at A.
A rectangular prism has a volume of 175 cubed inches. The height of the prism is 7 inches. The base is a square. What is the length of a side of the base?
Answer:
The length of a side of the base is [tex]5\ in[/tex]
Step-by-step explanation:
we know that
The volume of a rectangular prism is equal to
[tex]V=Bh[/tex]
where
B is the area of the base of the prism
h is the height of the prism
we have
[tex]V=175\ in^{3}[/tex]
[tex]h=7\ in[/tex]
Substitute the values and solve for B
[tex]175=B(7)[/tex]
[tex]B=175/(7)[/tex]
[tex]B=25\ in^{2}[/tex]
Remember that the base is a square
so
[tex]25=b^{2}[/tex]
[tex]b=5\ in[/tex]
what are solutions to this equation, x^2 + 3x -4 >0
Answer:
Solution of equation :-
x = 1 or x = -4
Step-by-step explanation:
The given quadratic equation is x² + 3x - 4 = 0
To find the solution
Using splitting method
x² - x + 4x - 4 = 0
x(x - 1) + 4(x - 1) = 0 (take x and 4 as common)
(x - 1)(x + 4) = 0
(x - 1) = 0 or (x + 4)= 0
If x - 1 = 0 then x = 1
If x + 4 = 0 then x = -4
Which function has a range of (- π/2, π/2) ?
The function with a range of (-π/2, π/2) is the arc sine function, denoted as y = sin-1(x) or y = arcsin(x).
Explanation:The range of a function is the set of all possible output values it can produce. When referring to a function with a range of (-π/2, π/2), we are usually considering trigonometric functions, particularly the inverse trigonometric functions. The function that has a range between -π/2 and π/2 is the arc sine function, denoted as y = sin-1(x) or y = arcsin(x). This is because the arc sine function is the inverse of the sine function, which oscillates between -1 and 1, and thus its inverse must have a range where the angle could be between -π/2 and π/2 to accommodate this domain.
The sine function itself, which a student might initially think of due to its oscillation, has a domain of all real numbers and a range of [-1,1], so it does not fit the criteria given by the range (-π/2, π/2). It is important to recognize that, while a sine function oscillates between +1 and -1, its inverse function, arc sine, is the one with the specified range as mentioned in the question.
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What type of angle is formed when the radius and a tangent intersect at the points of tangency?
A. Right
B. Straight
C. Obtuse
D. Reflex
ANSWER
A. Right
EXPLANATION
A tangent to a circle touches the circle at only one point.
The point where a tangent and a radius meet at is called the point of tangency.
The tangent to a circle meets the radius of a circle at a right angle.
This is because the angle between the tangent and the radius of the circle is 90°
The correct answer is A.
Final answer:
When a radius and a tangent intersect at the point of tangency, they form a right angle. This fact is part of basic geometric principles covered in high school mathematics.
Explanation:
The type of angle formed when the radius of a circle and a tangent intersect at the point of tangency is a right angle. This geometric principle is a result of the fact that a tangent to a circle is perpendicular to the radius at the point of tangency. This concept falls within the branch of mathematics known as geometry, which is a crucial topic in high school math education.
Please explain how to do unit conversion, for example a rectangle has a width of 12cm and a length of 5cm and you're solving for the area obviously, it would be 60cm but in the answer key for this question, it has it as 60mm squared. please explain! i'd also like to know when you square and cubed! :)
6 CM would make it 60mm because you would do length timeth width
" The area of the rectangle is 60 cm², which is equivalent to 6000 mm².
To calculate the area of a rectangle, one multiplies the length by the width. In this case, the rectangle has a width of 12 cm and a length of 5 cm. Therefore, the area (A) is calculated as follows:
[tex]\[ A = \text{length} \times \text{width} \][/tex]
[tex]\[ A = 5 \, \text{cm} \times 12 \, \text{cm} \][/tex]
[tex]\[ A = 60 \, \text{cm}^2 \][/tex]
The area is obtained in square centimeters (cm²) because we multiplied two lengths measured in centimeters.
Now, to convert the area from square centimeters to square millimeters, we need to remember that there are 10 millimeters in a centimeter. Therefore, when converting from cm² to mm², we must square the conversion factor because we are dealing with a two-dimensional measurement:
[tex]\[ 1 \, \text{cm}^2 = (1 \, \text{cm})^2 = (10 \, \text{mm})^2 = 100 \, \text{mm}^2 \][/tex]
Now, we can convert the area from cm² to mm²:
[tex]\[ 60 \, \text{cm}^2 = 60 \times 100 \, \text{mm}^2 \][/tex]
[tex]\[ 60 \, \text{cm}^2 = 6000 \, \text{mm}^2 \][/tex]
Say I have an 81 in a class and my final assignment is 30%of my grade, If i fail how much will that bring my grade down?
Answer:
A lot. probably down to a 60
Please help me out.....
Answer:
a = 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Since the triangle is right use the tangent ratio to find a, that is
tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{a}{12}[/tex]
Multiply both sides by 12
12 × tan30° = a
12 × [tex]\frac{1}{\sqrt{3} }[/tex] = a
Rationalise the denominator on the left side by multiplying the numerator/ denominator by [tex]\sqrt{3}[/tex]
12 × [tex]\frac{\sqrt{3} }{3}[/tex] = a ( cancel the 12 and 3 )
a = 4[tex]\sqrt{3}[/tex]
Write the equation in standard form for the circle x2+y2–36=0.
Answer:
x^2 + y^2 = 36
Step-by-step explanation:
Just add 36 to both sides. This is a circle with the center at the origin and radius 6.
Final answer:
The equation in standard form for the circle x² + y² – 36 = 0 is x² + y² - 9x - 12y + 36 = 0.
Explanation:
The equation in standard form for the circle x² + y² – 36 = 0 is:
x² + y² - 9x - 12y + 36 = 0
This equation can be obtained by completing the square. Rewrite the equation as: (x² - 9x) + (y² - 12y) = 36. Complete the square for both the x and y terms by adding the square of half the coefficient of each term.
To complete the square for the x terms, add (9/2)² = 81/4, and for the y terms, add (12/2)² = 36 to both sides of the equation.
Simplify the equation to: x² - 9x + (81/4) + y² - 12y + 36 = 36 + (81/4) + 36.
Combine like terms and simplify further to obtain the standard form of the equation: x² + y² - 9x - 12y + 36 = 0.