Answer:
Option B. 5P5 × 20P15
Step-by-step explanation:
It is very important to remember that the second grade students are sitting in the front row, therefore, it is only necessary to organize 15 first grade students in 20 seats.
Permutations allow you to calculate the number of ways in which m objects can be arranged in n positions.
The permutation of m in n is written as:
nPm
Where n is the number of elements and m are chosen.
The way in which the 5 second grade students can be organized in the 5 seats is from the first row is:
5P5
Then, the number of ways in which 15 first-year students can be organized into 20 seats is:
20P15
Then, the number of ways to organize all students on the bus is the product of both permutations
5P5 * 20P15
What is the Greatest Common Factor of the expression 12x4 + 18x2?
Answer:
6x²
Step-by-step explanation:
to find the GCF we look at the terms and see what they have in common
we see that the greatest number both can be divided by is 6
we also look at the variables. both contain an x², so we can factor out as well
the answer would be 6x²
Please help with math problem
Answer:
[tex]a_0 = -6[/tex]
[tex]a_1=8[/tex]
[tex]x^2 +y^2 -6x + 8y = 0[/tex]
Step-by-step explanation:
The equation of the circle has the following form
[tex]x^2 + y^2 + a_0x + a_1y=0[/tex]
The equation of the circle has the following form
We know that the circle goes through the following points
(0, 0)
(6, 0)
(0, -8).
Then we substitute the values of x and y in the equation
For (0, 0)
[tex]0^2 + 0^2 + a_0(0) + a_1(0)=0[/tex]
[tex]0=0[/tex]
For (6, 0)
[tex]6^2 + 0^2 + a_0(6) + a_1(0)=0[/tex]
[tex]36 + 6a_0=0[/tex]
[tex]a_0 = -\frac{36}{6}\\\\a_0 = -6[/tex]
For (0, -8)
[tex]0^2 + (-8)^2 + a_0(0) + a_1(-8)=0[/tex]
[tex](-8)^2 - 8a_1=0[/tex]
[tex](-8)^2 = 8a_1[/tex]
[tex]a_1=8[/tex]
Finally the equation is:
[tex]x^2 +y^2 -6x + 8y = 0[/tex]
find the distance between the two points 4,1 and -3,-2. Show your work
Answer:
The distance between two points is √58 or 7.61.
Step-by-step explanation:
In the question we need to find the distance between two points 4,1 and -3,-2 given.
Distance between two points can be found using the formula:
[tex]d(P1,P2) = \sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}[/tex]
Putting the given points in the formula we get,
x₂ = -3, x₁ = 4, y₂= -2, y₁= 1
[tex]=\sqrt{(-3-(4))^2 + (-2-(1))^2} \\=\sqrt{(-3-4)^2 + (-2-1)^2}\\=\sqrt{(-7)^2 + (-3)^2}\\=\sqrt{49 + 9}\\=\sqrt{58}\\=7.61[/tex]
So, the distance between two points is √58 or 7.61.
Choose the answer that correctly solves the equation: 6 x 4 + 3 = ?
Answer:
27
Step-by-step explanation:
because 6×4 is 24 and 24+3 =27
Answer:
The answer is 27
Step-by-step explanation:
Using Pemdas (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction) 6 x 4= 24 then 24 + 3= 27.
Hope this helps. Please name me Brainliest
Mack wants to calculate the circumference of a circle with a radius of 7 centimeters.
So C= dxpi or rx2xpi= c in this case 7x 2 = 14 is diameter do E D and A finds the diameter and the rest do not
Last weekend nina mowed 4 lawns and received $60 this weekend she mowed 6 lawns and received $90 what is the constant of proportionality
Answer: nina is getting $15 for 1 lawn.
Step-by-step explanation:
1 $15
2 $30
3 $45
4 $60
Thank you for any help!
The answer is D
0 is not less than or equal to -4, and in the second equation, 0 is greater than -1
Answer:
D. No. (0, 0) satisfies [tex]y>2x-1[/tex] but does not satisfy [tex]y\leq x^2-4[/tex].
Step-by-step explanation:
We are given the following system of equations and we are to determine if (0, 0) is its solution or not:
[tex]y\leq x^2-4[/tex]
[tex]y>2x-1[/tex]
Substituting the given point [tex](0, 0)[/tex] in both the equations to check if it satisfies them.
[tex]y\leq x^2-4[/tex] [tex]\implies[/tex] [tex]0\leq (0)^2-4 \implies 0\leq -4[/tex] - False
[tex]y>2x-1 \implies 0 > 2(0)-1 \implies 0>-10[/tex] - True
Therefore, the correct answer option is D. No. (0, 0) satisfies [tex]y>2x-1[/tex] but does not satisfy [tex]y\leq x^2-4[/tex].
When do two ratios form a proportion?
when they are equal
A proportion is when two ratios are equal.
For example the ratio 10:5 is equal to the ratio 2:1, therefore this is a proportion.
please help!!!!!
Which defines the piecewise function shown?
The answer is:
The second piecewise function,
[tex]f(x)=\left \{ {{-x-2,x<0} \atop {-\frac{x}{2} }\geq 0} \right.[/tex]
Why?To answer the question, we need to find which piecewise function contains the graphs shown in the picture, we have that first line shown, is decreasing and exists from the negative numbers to 0, and the line cuts the x-axis and the y-axis at "-2", for the second line shown, we have that is decreasing but exists from 0 (including it) to the the positive numbers.
So, finding which piecewise satisfies the function shown, we have:
- First piecewise function:
[tex]f(x)=\left \{ {{-x-2,x<0} \atop {\frac{x}{2} }\geq 0} \right.[/tex]
First line,
We have the first line,
[tex]-x-2<0\\[/tex]
The variable has a negative coefficient (-1), meaning that the function (line) is decreasing, also we can see that the function does exists from all the numbers less than 0, to 0, and it cuts the x-axis at -2 and the y-axis at -2.
Second line,
[tex]\frac{x}{2}\geq 0[/tex]
The variable has positive coefficient, meaning that the function (line) is increasing.
Hence, since the second line is not decreasing, the piecewise function is not the piecewise function shown in the picture.
- Second piecewise function,
[tex]f(x)=\left \{ {{-x-2,x<0} \atop {-\frac{x}{2} }\geq 0} \right.[/tex]
First line,
We have the first line,
[tex]-x-2<0\\[/tex]
The variable has a negative coefficient (-1), meaning that the function (line) is decreasing, also we can see that the function does exist from all the numbers less than 0, to 0.
Second line,
[tex]-\frac{x}{2}\geq 0[/tex]
The variable has a negative coefficient ([tex](-\frac{1}{2})[/tex], meaning the the unction (line) is decreasing, also we can see that the function does exists from 0 (including it) to the positive numbers.
Hence, we have that the correct option is the second piecewise function,
[tex]f(x)=\left \{ {{-x-2,x<0} \atop {-\frac{x}{2} }\geq 0} \right.[/tex]
Note: I have attached a picture for better understanding.
Have a nice day!
An airplane flies 2403 miles in 4.5 hours. What is the speed of the airplane in miles per hour?
2403/4.5= 534 filling in the rest of the 20 charters needed
Answer:
534 miles per hour
Step-by-step explanation:
To find the speed, we take the miles and divide by the hours
2403 miles/ 4/5 hours
534 miles per hour
I need help please with those box.
Answer:
Sales : $4.96
Total : $66.96
Step-by-step explanation:
To find the sales tax, just multiply the tax rate by the purchase price.
8.0% = 0.08
[tex]62*0.08=4.96[/tex]
So the sales tax is $4.96.
To find the total price, we can multiply the purchase price by the tax rate + 1.
[tex]62*1.08=66.96[/tex]
Or if you are not comfortable with that, you can add the sales tax and the purchase price.
[tex]62+4.96=66.96[/tex]
So the total price is $66.96
66.69
Because add the total together to get it
Fifteen friends share 20 cups of popcorn equally. Which faction of a cup does each friend get?
Answer:*fraction
Step-by-step explanation: I hope you get your answer soon
A comparative box plot is shown for two data sets. Which statement is true? (Please help me and please if you're not 100% sure)
Answer Choices
A. At least 50% of the data for each set is between 13 and 16.
B. Less than 25% of the data for the sets overlap.
C. More than 25% of the data for each set is greater than 15.
D. At least 75% of the data is greater than 16.
Answer:
a
Step-by-step explanation:
Answer:
I would say A
Step-by-step explanation:
A pharmacist weighed eight different capsules of the same compound and recorded these measurements: 2312 mg, 2313 mg, 2315 mg, 2321 mg, 2325 mg, 2310 mg, 2320 mg, and 2319 mg. What is the median measurement? What is the mean measurement?
The median measurement of the capsules is 2317 mg, which is the average of the fourth and fifth values when listed in order. The mean measurement is also 2317 mg, found by summing all measurements and dividing by the total number of samples.
Explanation:To find the median measurement of the pharmacist's recorded capsule weights, we first list the measurements in numerical order: 2310 mg, 2312 mg, 2313 mg, 2315 mg, 2319 mg, 2320 mg, 2321 mg, 2325 mg. Since there are eight measurements (an even number), the median is the average of the fourth and fifth measurements: (2315 mg + 2319 mg) / 2 = 4634 mg / 2 = 2317 mg. Therefore, the median measurement is 2317 mg.
To calculate the mean measurement, we sum all the measurements and then divide by the number of measurements: (2312 mg + 2313 mg + 2315 mg + 2321 mg + 2325 mg + 2310 mg + 2320 mg + 2319 mg) / 8 = 18535 mg / 8 = 2316.875 mg. The mean measurement, rounded to the nearest milligram, is 2317 mg.
Polygons and Quadrilaterals... Help
Answer:
That is an octagon (eight sides).
Interior Angle Total = 1,080
EACH interior angle = 180 - (360 / 8) = 135
n + 161 + (n -12) +(n + 30) + n + 134 + (n+16) + 126 = 1,080
5n + 455 = 1,080
5n = 625
n = 78.125
Step-by-step explanation:
What is the variable in this expression?
4b + 2b + 1⁄4
Answer:
the variable is "b"
Step-by-step explanation:
A researcher posts a newspaper advertisement offering $20 in exchange for participation in a short study. The researcher accepts the first five people who respond to the advertisement. Which of the following statements is true about the sample?
It is not a valid sample because it is only a short study.
It is a valid sample because money was offered to participants.
It is a valid sample because the first five people were selected to participate.
It is not a valid sample because it is not a random sample of the population.
Answer:
The answer is "It is not a valid sample because it is not a random sample of the population".
Step-by-step explanation:
I had this test and that was my answer, and it was correct.
Celine is knitting a scarf. The finished length will be 1.2 meters. So far she has knitted 0.8 meters. How many more meters does Celine need to knit? Draw a number line to solve.
Answer:
.4 meters
Step-by-step explanation:
1.2-.8=.4
0————.4————.8————1.2
Answer:
0.4 meters
Step-by-step explanation:
We can use a number line:
<----| - | - | - | - | - | - | - | - | - | - | - | - | -------->
0 .1 .2 .3 .4 .5 .6 .7 .8 .9 1 1.1 1.2
If you count the number of dashes between 0.8 and 1.2, there will be four of them. The answer is 0.4 meters.
The density of an object is its mass per unit volume. An object has a mass of 4.2 grams and a volume of 2 cm3. What is the density of the object?
A. 8.4 g/cm^3
B. 0.5 g/cm^3
C. 2.1 g/cm^3
D. 2.2 g/cm^3
Answer:
C. 2.1 g/cm^3
Step-by-step explanation:
The density of an object is its mass per unit volume.
The formula for density is:
[tex]D=\frac{M}{V}[/tex]
The object has a mass of 4.2 grams.
[tex]\implies M=4.2g[/tex]
and a volume of 2 cubic centimeters
[tex]\implies V=2cm^3[/tex]
We substitute the known values into the formula to get:
[tex]D=\frac{4.2}{2}gcm^{-3}[/tex]
We simplify to obtain:
[tex]D=2.1gcm^{-3}[/tex]
Answer:
2.1 g/cm^3 so its c
(13x+9k)+(17x+6k) simplified
The simplified form of the expression [tex]\((13x + 9k) + (17x + 6k)\)[/tex] is [tex]\(30x + 15k\)[/tex].
To simplify the given expression, combine like terms. Like terms are terms that contain the same variables raised to the same power. Here, [tex]\(13x\)[/tex] and [tex]\(17x\)[/tex] are like terms because they both contain the variable [tex]\(x\)[/tex], and [tex]\(9k\)[/tex] and [tex]\(6k\)[/tex] are like terms because they both contain the variable [tex]\(k\)[/tex].
First, add the coefficients of the like terms with the variable [tex]\(x\)[/tex]:
[tex]\[ 13x + 17x = 30x \][/tex]
Next, add the coefficients of the like terms with the variable [tex]\(k\)[/tex]:
[tex]\[ 9k + 6k = 15k \][/tex]
Putting it all together, the simplified expression is:
[tex]\[ 30x + 15k \][/tex]
This is the final simplified form of the given expression.
The complete question is:
Simplify the following expression [tex]\((13x + 9k) + (17x + 6k)\)[/tex] ?
I need help please????
Answer:
(2, 2)
Step-by-step explanation:
To determine which ordered pair is a solution to the equation.
Substitute the x- coordinate into the left side and the y- coordinate into the right side and if both sides are equal then that is the solution.
(2, 2)
3 × 2 = 6 and 8 - 2 = 6 → hence (2, 2) is a solution
(8, 0)
3 × 8 = 24 and 8 - 0 = 8 → hence (8, 0) is not a solution
(3, 1)
3 × 3 = 9 and 8 - 1 = 7 → hence (3, 1) is not a solution
the probability of getting number 2 when a die is rolled
Please explain the answer to this question and I'll mark Brainliest! A private investigator figures that he has a one in ten chance of recovering stolen property for his client. The expenses for the investigation will cost him $10,000, but the recovery fee is $80,000. Based ONLY on this information, should the private detective take the job?
A) The expected value is $1,000.00, so the detective should take the job.
B) The expected value is $2,000.00, so the detective should take the job.
C) The expected value is −$2,000.00, so the detective should not take the job.
D) The expected value is −$8,000.00, so the detective should not take the job.
The calculated expected value for the private investigator's job is -$2,000, suggesting an expected loss. Therefore, the detective should not take the job based solely on the provided financial information.
Explanation:To determine whether the private investigator should take the job, we need to calculate the expected value of the job based on the probabilities and payoffs provided.
Here is the calculation:
If the property is recovered (1 in 10 chance), the gain is $70,000 (recovery fee of $80,000 minus expenses of $10,000).If the property is not recovered (9 in 10 chance), the loss is $10,000 (expenses).The expected value (EV) is thus calculated as:
EV = (Probability of Success) × (Gain) + (Probability of Failure) × (Loss)
EV = (0.1) × $70,000 + (0.9) × (-$10,000)
EV = $7,000 - $9,000
EV = -$2,000
Since the expected value is negative, the detective should not take the job based on this information alone, as it represents an expected loss.
Write words to match expression 24 divided by 6
twenty four divisible by six, if that what u meant . or 24÷6
Translate the following into a math equation:
4 divided by the difference of h and 7
Question 1 options:
a 4 − h ÷ 7
b (h − 7) ÷ 4
c 4 ÷(h − 7)
d 4 ÷ (h + 7)
Answer:
C
Step-by-step explanation:
4 divided is said first, so it comes first in the equation. Difference means subtraction, meaning h - 7
George measured the capacity of a cardboard box as 400 in3. The true capacity of the cardboard box is 450 in3. What is the percent error in George’s measurement? If necessary, round to the nearest percent.
Answer:
11%
Step-by-step explanation:
450-400=50, Amount of difference.
Actual volume, 450 in^3.
[tex](\frac{50}{450} )*100=100*(\frac{1}{9} )[/tex]
11%
I need help with these please ASAP
Answer:
Third one down.
Step-by-step explanation:
Answer:
Third One
Step-by-step explanation:
Please help with this fast
Answer:
Part 1) The value of x is 50°
Part 2) The measure of angle LOK is 114°
Option C
Step-by-step explanation:
we know that
if two angles are supplementary, then their sum is equal to 180 degrees
so
(x+64)°+66°=180°
solve for x
x+130°=180°
x=180°-130°=50°
Find the measure of angle LOK
∠LOK=(x+64)°
∠LOK=(50+64)°=114°
Tanya have several different ways she likes to walk home. One route takes 20 minutes, two of the routes take 30 minutes, and two take 40 minutes. Tanya randomly chooses a route to walk home. What is the probability, to the nearest percent, that it will take her 30 minutes to walk home?
A.) 20%
B.) 33%
C.) 40%
D.) 67%
Please explain answer for me :)
Answer:
40%
Step-by-step explanation:
Tanya has a a choice of 5 different routes (1-20 mins, 2-30 mins, 2-40 mins).
How many routes can she take that will take her 30-mins to get home?
The answer is 2.
What's the probability she will take 2 of the 5 routes to get home?
The probability is 2/5 so 40%.
The rounding instruction was there to mislead you in this case :-)
the gestation time for cows is normally distributed with a mean of 284 days and a standard deviation of 12 days. at a local Ranch over the course of a year they're 820 calf births. of these how many would be expected to have a gestation time of less than 270 days
Answer:
100 calfsStep-by-step explanation:
We must calculate the probability that the cows have a gestation time of less than 270 days. If X represents the gestation time of a randomly selected cow, then we look for:
[tex]P (X <270)[/tex]
Acora we calculate the Z-score
[tex]Z=\frac{X-\mu}{\sigma}[/tex]
In this case
[tex]\mu=284\ days\\\\\sigma = 12\ days[/tex]
So
[tex]P (X <270) =P (\frac{X-\mu}{\sigma} <\frac{270-284}{12})=P(Z<-1.167)[/tex]
Looking in the normal standard table we have to
[tex]P(Z<-1.167)=0.1216[/tex]
Finally, the expected number of calf "E" that will have a gestation time of less than 270 days is:
[tex]E=820*P (X <270)\\\\E=820*0.1216[/tex]
E=99.71≈100 Calfs