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3 years ago

What is the expression and answer

Mathematics

1 answer:

swat323 years ago

3 0

Answer:

Step-by-step explanation:

L is 2* W so L=2W

perimeter= 2w+2l

plug in whats given to get

perimeter=2w+4w 4w is because L is *2 of W so that makes L=2w

36=6w

36/6=6

6w/6=w

w=6

6*2=12=L

now we have 6*12=72=Area

You might be interested in

Solve using substitution. x + 3y = -13 5x + 7y = -9

baherus [9]

From equation 1
x = -3y-13
plug this into equation 2:-
5(-3y-13) + 7y = -9
-15y - 65 + 7y = -9
-8y = 56
y = -7
Now plug y = 7 into equation 1
x - 21 = -13
x = -13 + 21 = 8

solution is x = 8 , y = -7

6 0

4 years ago

Ken has saved $120 in the bank account. Do the following situations leaves ken with a balance of $0

Alex Ar [27]

If ken saved $120 dollars and didn’t spend any of it, he would still have $120. (I don’t exactly know if the problems came up because all I can see is your question)

6 0

3 years ago

If y varies inversely as x and y = 40 when x = 5, then the constant is

exis [7]

The answer is b. 200

If y varies inversely as x, then: y = c/x

We know:
y = 40
x = 5

y = c/x
c = y * x
c = 40 * 5
c = 200

8 0

3 years ago

Read 2 more answers

Use the function f(x) to answer the questions.

fiasKO [112]

Answer:

Below in bold.

Step-by-step explanation:

A. −16x2 + 24x + 16 = 0

-8(2x2 - 3x - 2) = 0

-8(2x + 1 )(x - 2) = 0

x = -0.5, 2.

So the x-intercepts are (-0/5, 0) and (2, 0).

B. As the leading coefficients is negative (-16) the vertex of the graph will be a Maximum.

To find its coordinates we convert the function to vertex form:

f(x) = −16x2 + 24x + 16

= -16(x^2 - 1.5x) + 16

Completing the square on contents of the parentheses:

= -16 [(x - 0.75)^2 - 0.75^2] + 16

= -16(x - 0.75)^2 - 16 * -0.75^2 + 16

= -16(x - 0.75)^2 + 9 + 16

= -16(x - 0.75)^2 + 25.

So the coordinates of the vertex are (0.75, 25)

3 0

2 years ago

Suppose you read online that children first count to 10 successfully when they are 32 months old, on average. You perform a hypo

creativ13 [48]

Answer:

$p_v =2*P(t_{(35)}$

Step-by-step explanation:

Assuming this info from R

hist(gifted$count)

## Min. 1st Qu. Median Mean 3rd Qu. Max.

## 21.00 28.00 31.00 30.69 34.25 39.00

## Sd

## [1] 4.314887

Data given and notation

$\bar X=30.69$ represent the mean

$s=4.3149$ represent the sample standard deviation

$n=36$ sample size

$\mu_o =32$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is different than 32, the system of hypothesis would be:

Null hypothesis: $\mu = 32$

Alternative hypothesis: $\mu \neq 32$

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{30.69-32}{\frac{4.3149}{\sqrt{36}}}=-1.822$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=36-1=35$

Since is a two sided test the p value would be:

$p_v =2*P(t_{(35)}$

7 0

3 years ago