Which of the following is equivalent to (x + 4)(3x2+2x)?

Suppose Connie owns a pet store in a large community that has over 50,000 pet owners. She believes that the proportion of men wh

lakkis [162]

Answer:

$\hat p=\frac{X_{m}+X_{w}}{n_{m}+n_{w}}=\frac{214+215}{510+420}=0.461$

$z=\frac{0.420-0.512}{\sqrt{0.461(1-0.461)(\frac{1}{510}+\frac{1}{420})}}=-2.80$

Since is a two tailed side test the p value would be:

$p_v =2*P(Z$

If we compare the p value and using any significance level for example $\alpha=0.05$ always $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the two proportions are significantly different.

Step-by-step explanation:

Data given and notation

$X_{m}=214$ represent the number of men with cats

$X_{w}=215$ represent the number of women with cats

$n_{m}=510$ sample for men

$n_{f}=420$ sample for women

$\hat p_{m}=\frac{214}{510}=0.420$ represent the proportion of men with cats

$\hat p_{f}=\frac{215}{420}=0.512$ represent the proportion of women with cats

z would represent the statistic (variable of interest)

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

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the proportions are different, the system of hypothesis would be:

Null hypothesis: $p_{m} = p_{f}$

Alternative hypothesis: $p_{m} \neq p_{f}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{m}-p_{f}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{m}}+\frac{1}{n_{f}})}}$ (1)

Where $\hat p=\frac{X_{m}+X_{w}}{n_{m}+n_{w}}=\frac{214+215}{510+420}=0.461$

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.420-0.512}{\sqrt{0.461(1-0.461)(\frac{1}{510}+\frac{1}{420})}}=-2.80$

Statistical decision

For this case we don't have a significance level provided $\alpha$ , but we can calculate the p value for this test.

Since is a two tailed side test the p value would be:

$p_v =2*P(Z$

If we compare the p value and using any significance level for example $\alpha=0.05$ always $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the two proportions are significantly different.

7 0

3 years ago

Grayson bought a rectangular waste basket that is 1 ½ feet long, ¾ foot wide, and 2 feet high. Find the volume of the surface of

trapecia [35]

Technically, the volume of the surface would be the surface area, but assuming that's what you're referring to, and that the thickness of the waste basket doesn't add any extra volume/area, this is how you would solve that:
SA=2(wh+lw+lh)
SA=2[3/4(2)+1 1/2(3/4)+1 1/2(2)]
SA=2(1 1/2+1 1/8+3)
SA=2(45/8)
SA=11 1/4 ft

If there is no lid, you would subtract the lw:
SA=2(wh+lh)
SA=2[3/4(2)+1 1/2(2)]
SA=2(1 1/2+3)
SA=2(4 1/2)
SA=9 ft

5 0

3 years ago

E. Lindsey sold stationery to her family and her mother's friends. She deposited the $125

IRISSAK [1]

Answer:

$134.71

Step-by-step explanation:

This is a simple interest question

A = P(1 + rt)

A = Amount after t months or years

P = Principal or amount saved

r = interest rate = 5.18% = 0.0518

t = time.in years = 18 months

= 1 year and 6 month

= 1.5 year

A = $125( 1 + 0.0518 × 1.5)

A = $125 ( 1 + 0.0777)

A = $125(1.0777)

A = $134.71

3 0

2 years ago

The people of Bridgetown wanted to build a bridge across a nearby river. Since they were poor swimmers, their master Trigonomos

VikaD [51]

Answer:

60.2 m

Step-by-step explanation:

Let x represent the width of the river. The distance from the point across from the tree to the second point is 15 m. The angle from this point to the tree across the river is 76°.

This makes the side opposite the angle x, the width of the river. It also means the 15 m side is adjacent to this angle.

The ratio opposite/adjacent is the ratio for tangent; this gives us the equation

x/15 = tan(76)

Multiply both sides by 15:

15(x/15) = 15(tan(76))

x = 15(tan(76)) ≈ 60.2

5 0

3 years ago

(a + b - c )(a + b + c )

True [87]

If you are looking for the expanded version, this is it. It is also possible to group either an a from (a^2 + 2b) or a b from (2ab + b^2). Hope this helps!

6 0

3 years ago

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