The members of two running clubs entered their daily running totals into a computer program. The leaders of the two clubs randomly selected 25 days of the year and created box-and-whisker plots showing the total number of miles fun by club members on the 25 selected days

Denote x2 by y.

(x2-3)7=(y-3)7

This is a binomial expansion in y, and you want the coefficient of y4 because y4=x8

You have 7 terms of (y-3) in (y-3)7.  To get the fourth power of y, you need to choose y from four of the terms.  The number of ways you can do this is the combinations of 7 things taken 4 at a time.  This is:

7!/(4!3!)=35

So, the coefficient of x8 in the given expansion will be 210.

HOPE IT HELPS

THANK YOU

Answer:

x = 3

Step-by-step explanation:

\(2x^{2}\) = 36

\(\sqrt{2x^{2}}\) = \(\sqrt{36}\)

2x = 6

\(\frac{2x}{2}\) = \(\frac{6}{2}\)

x = 3

hope this helps!

Answer:

817

Step-by-step explanation:

Answer:

12 should be 1 as in 1 foot. 1' 1/4"

Step-by-step explanation:

Answer:

The area is 379.

Step-by-step explanation:

23*18=414

18-6-5=7

5*7=35

414-35=379

Answer:

379m^2

Step-by-step explanation:

We need to approach this problem by first sectioning this figure out. The top left corner is a square, 5x5. The top right is 6x5, and the rest is a rectangle. This rectangle has the dimensions 23-5 by 18. After multiplying 5x5 we get 25, 6x5 is 30, and 18 x 18 is 324. We add this all together to get 379.

By calculating the mean vector and covariance matrix of AX using parts (a), (b), and (c), we can determine the probability distribution of AX as a multivariate normal distribution.

a) To determine the probability distribution of the random variable a^TAX, we need to consider the mean and covariance matrix of AX.

The mean of AX can be calculated as:

E(AX) = A * E(X)

The covariance matrix of AX can be calculated as:

Cov(AX) = A * Cov(X) * A^T

Using these formulas, we can determine the probability distribution of a^TAX by finding the mean and covariance matrix of a^TAX.

(b) For each i from 1 to n, E((AX)i) is the ith component of the mean vector E(AX).

It can be calculated as:

E((AX)i) = (A * E(X))i

(c) For each pair of i and j from 1 to n, Cov((AX)i, (AX)j) is the (i,j)th entry of the covariance matrix Cov(AX).

It can be calculated as:

Cov((AX)i, (AX)j) = (A * Cov(X) * A^T)ij

(d) To determine the probability distribution of AX, we need to know the mean vector and covariance matrix of AX.

Once we have these, we can conclude that AX follows a multivariate normal distribution, denoted as AX ~ N(μ', Σ'), where μ' is the mean vector of AX and Σ' is the covariance matrix of AX.

So, by calculating the mean vector and covariance matrix of AX using parts (a), (b), and (c), we can determine the probability distribution of AX as a multivariate normal distribution.

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Answer:

You would have to do 51 - 16 to find out the total amount of money Vicky spent on scented soaps. 51 - 16 = $35. You then divide by the number of items. In this case, it is 10 scented soaps. 35/10=3.5. She spent $3.50 on each soap.

Step-by-step explanation:

Hope this helps!

Brainliest please!

Okay, here we have this:

Considering the provided formula and information, we are going to calculate the requested percent of college freshmen in 2010, so we obtain the following:

So since x corresponds to the number of years after 1980, in this case we will replace x with 30, since it is 30 years after 1980, we have:

p=4x/5+25

Replacing:

p=4(30)/5+25

p=120/5+25

p=24+25

p=49

So, as we can see, the model assumes that in 2010 the percentage was 49%, and the real one is 47%. It means that the model overestimates the real value by 2%.

Answer:

Step-by-step explanation:

the probability for the first card would be 5/52 (red)

second card would be 1/13

Answer:

it is 1/13

Step-by-step explanation:

if you divided

The constant percent rate of change of f(x) with respect to x is (d) 25% decay

The function is given as

f(x) = 46(0.75)^x

The above function is an exponential function

The growth/decay factor is

b = 0.75

The constant rate is then calculated as

Rate = 1 - b

This is because b is less than 1 (i.e. an exponential decay)

So, we have

Rate = 1 - 0.75

Evaluate

Rate = 25%

Hence, the constant percent rate of change of f(x) with respect to x is (d) 25% decay

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Answer: D

Hope this helps :)

Answer:

b

Step-by-step explanation:

i got it correct

Answer:

30 cm²

Step-by-step explanation:

solve for area of rectangle: 12 x 4 = 48 cm²

solve for area of triangle: 9 x 4= 36 / 2 = 18 cm²

subtract: 48- 18 = 30cm²

Answer: x > -1.5

I'm not sure if the variable you have is an x, but it will still be the same answer- just replace the variable with whatever one you have.

If you need the answer in a fraction, let me know.

And in case your number isn't a variable, any number MORE THAN, or GREATER THAN -1.5, will be correct.
Possible answers:
2 > -1.5
14 > -1.5
-1 > -1.5

Explanation: The open circle indicates that the sign is either less then (<) or greater than (>). If the circle was closed, it would then indicate less than or equal to, or greater than or equal to.
The open circle is at -1.5, and is going to the right. Meaning all the possible answers are higher or greater than -1.5.

Hope this helps! :)

Answer:

the graph is a straight line

the line passes through the point (0, −2)

Step-by-step explanation:

i took the k12 quiz just now and got it right :) hope this helps <3

Answer:

the answer for your question is "It's a cuboid"

Answer: Rectangular Prism

Step-by-step explanation:

Rectangular faces ✔️

8 vertices (4 on each side) ✔️

Solid figure ✔️

Answer: x = 7, x = -15

Step-by-step explanation:

This is an absolute value equation, so it has to be simplified first

|x+4|+10=21

|x+4|=11

Then you set it equal to the two values it can be, getting rid of the absolute value sign.

x+4=11

x+4=-11

x = 7

x = -15

Voila!

Answer:x1=-15;x2=7

Step-by-step explanation:

|x+4|+10=21

|x+4|=21-10

|x+4|=11

x+4=11

x+4=-11

x=7

x+4=11

x=7

×=-15

The equation has 2 solutions

x1=-15 x2=7

Answer:

f(x)=5

Step-by-step explanation:

3(4)-7

12-7

5

Hope This Helps!

Answer:

\( \sf \large( \frac{2}{5} ) {}^{14} \)

Step-by-step explanation:

=((2/5)^4(2/5)^3)^2

=((2/5^4+3))^2

=((2/5^7))^2)

=(2/5)^14

The amount of water added in each step is the dilution factor minus 1 times the volume of material taken out. The final concentration of the series is the product of the dilution factors of each step.

In simple (linear) and serial dilutions, the volume of material taken out of the stock solution, the amount of water added, and the final concentration are important factors to consider. The answers will be provided in the following paragraphs.

In simple (linear) dilutions, a known volume of the stock solution is removed and diluted with water to achieve the desired final concentration. To calculate the volume of material taken out of the stock solution, subtract the desired final volume from the initial volume. The amount of water to be added is equal to the final volume minus the volume of material taken out. The final concentration is determined by dividing the initial concentration by the final volume.

For serial dilutions, a series of dilutions is performed, each using the previous dilution as the new stock solution. The volume of material taken out of each dilution is determined by the desired dilution factor, which represents the ratio of the final concentration to the initial concentration. The amount of water added in each step is the dilution factor minus 1 times the volume of material taken out. The final concentration of the series is the product of the dilution factors of each step.
It's important to specify the units at every step to ensure accurate calculations and dilution procedures.

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The constant of proportionality between the amount of tomatoes he orders (in pounds), and their cost (in dollars) is: 4 dollars per pound

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

pounds , dollars

Calculating the proportion of the amount of tomatoes he orders and their cost we get:

Proportion dollars per pound = Dollars / pound

Proportion dollars per pound = $88/ 22 pounds = 4 $/pound

Proportion dollars per pound = $92/ 23 pounds = 4 $/pound

Proportion dollars per pound = $96/ 24 pounds = 4 $/pound

Proportion dollars per pound = $100/ 25pounds = 4 $/pound

As we could get the constant of proportionality is 4 $/pound

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

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Answer:

angle m1 = 14 degrees

Step-by-step explanation:

angle ABD = 70 deg

angle m1 + angle m2 = 70 deg

angle m2 = 4 * angle m1

angle m1 + (4 * angle m1) = 70 deg

5 * angle m1 = 70 deg

angle m1 = 14 deg

Let the total number of strawberries be represented by the variable S. We can then divide S equally into four bags, which can be represented by the division operator ÷. To divide S into four equal bags, we can write the expression S ÷ 4.

This expression can be read as "S divided by 4" or "the number of strawberries divided into four bags." It is an algebraic expression because it contains a variable (S) and an operation (division).To summarize, the algebraic expression that represents the strawberries that were split evenly into four bags is S ÷ 4, where S represents the total number of strawberries.

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Answer:

Both ate 12 sunscreens all together

5 + 7 = 12

Srsly tho, like who in their right mind eats sunscreen

Answer:

C = 1

Step-by-step explanation

Answer:

c = 1

Step-by-step explanation:

9c - 18c - 11c = - 20

Combine like terms.

- 20c = - 20

Divide both sides by -20.

c = 1

Answer:

can u type it so i can answer, i cant see it

Step-by-step explanation:

Therefore, the predicted number of infections in week 10 is approximately 276 (rounded to the nearest whole number).

To predict the number of infections in week 10, we first need to find the growth factor.

Using the formula for exponential growth, we have:

\(N = N0 * (1+r)^t\)

where:

N0 = initial number of infections (week 0) = 20

r = growth rate = 30% = 0.3

t = number of weeks

To find the growth factor (1+r), we add 1 to the growth rate:

1+r = 1 + 0.3 = 1.3

So the formula becomes:

\(N = N0 * (1.3)^t\)

To find the number of infections in week 10, we substitute t = 10 into the formula and solve for N:

\(N = 20 * (1.3)^{10}\)

= 20 * 13.784

= 275.68

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Answer:

20% candy contains caramel.

Step-by-step explanation:

A bag of mixed candy has chocolate bars = 25%

and other filler candy = 75%

Let the 'c' represents the percentage of candy containing caramel in the bag of mixed candy.

Of the chocolate bars, percentage of candy containing caramel = 50% of 25%

Of the other filler candy, percentage of caramel candy = 10% of 75%

1c = 0.50(0.25) + 0.10(0.75)

   = 0.125 + 0.075

   = 0.2

By converting into percentage = 0.2 × 100 = 20%

20% candy contains caramel.

Answer:

The total volume of the whole figure is 576m³.

Step-by-step explanation:

First find the volume for the first figure.

Volume of a Rectangular Prism (formula): L•W•H

V = (15m)(12m)(2m)

V = 360m³

Now, find the volume for the second figure.

V = (6m)(12m)(3m)

V = 216m³

Finally, just add both volumes to find the total volume of the entire figure.

Vt = 216m³ + 360m³

Vt = 576m³