What are the factors of 36?

Anna35 [415]

$4y^2+2=(4y\cdot4y)+2\\
4y^2+2=16y^2+2 \leftarrow \text{not identity}\\\\
4y^2+2=(4y+y)+2\\
4y^2+2=5y+2 \leftarrow \text{not identity}\\\\
4y^2+2=4(y+y)+2\\
4y^2+2=8y+2 \leftarrow \text{not identity}\\\\
4y^2+2=4(y\cdot y)+2\\
4y^2+2=4y^2+2 \leftarrow \text{identity}$

So it's D.

8 0

3 years ago

A market research firm supplies manufacturers with estimates of the retail sales of their products from samples of retail stores

KengaRu [80]

Answer:

The 95% confidence interval for the difference of means is (7.67, 16.33).

The estimate is Md = 12.

The standard error is sM_d = 2.176.

Step-by-step explanation:

We have to calculate a 95% confidence interval for the difference between means.

The sample 1 (this year's sales), of size n1=36 has a mean of 53 and a standard deviation of 12.

The sample 2 (last year's sales), of size n2=49 has a mean of 41 and a standard deviation of 6.

The difference between sample means is Md=12.

$M_d=M_1-M_2=53-41=12$

The estimated standard error of the difference between means is computed using the formula:

$s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{12^2}{36}+\dfrac{6^2}{49}}\\\\\\s_{M_d}=\sqrt{4+0.735}=\sqrt{4.735}=2.176$

The degrees of freedom are:

$df=n_1+n_2-1=36+49-2=83$

The critical t-value for a 95% confidence interval and 83 degrees of fredom is t=1.989.

The margin of error (MOE) can be calculated as:

$MOE=t \cdot s_{M_d}=1.989 \cdot 2.176=4.328$

Then, the lower and upper bounds of the confidence interval are:

$LL=M_d-t \cdot s_{M_d} = 12-4.328=7.67\\\\UL=M_d+t \cdot s_{M_d} = 12+4.328=16.33$

The 95% confidence interval for the difference of means is (7.67, 16.33).

7 0

3 years ago

Samuel is 5/8 inch taller than Jackie, Shelly is 0.7 inch taller than Jackie, Craig is 1/2 inch taller than Jackie, who is the t

miskamm [114]

If you would like to know who is the tallest, you can calculate this using the following steps:

Jackie ... j
Samuel: 5/8 inch + j = 5/8 + j = 0.625 + j
Shelly: 0.7 inch + j = 0.7 + j
Craig: 1/2 inch + j = 1/2 + j = 0.5 + j

The correct result would be: Shelly is the tallest.

8 0

3 years ago

Find the values of x and y.

Sedaia [141]

Answer:Input : A = 12, B = 8

Output : X = 2, Y = 10

Input : A = 12, B = 9

Output : -1

Step-by-step explanation:

7 0

2 years ago

What is the slope? please make sure you explajn

Valentin [98]

Answer: the slope is the rise over run of the line on a grid so the amount it takes for a point to go up and over

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers