$440 with a 5.8 interest compounded annually who much will that be in 8 years

Ten engineering schools in the United States were surveyed. The sample contained 250 electrical engineers, 80 being women; 175 c

steposvetlana [31]

Answer:

There is a significant difference between the two proportions.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for difference between population proportions is:

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

Compute the sample proportions as follows:

$\hat p_{1}=\frac{80}{250}=0.32\\\\\hat p_{2}=\frac{40}{175}=0.23$

The critical value of <em>z</em> for 90% confidence interval is:

$z_{0.10/2}=z_{0.05}=1.645$

Compute a 90% confidence interval for the difference between the proportions of women in these two fields of engineering as follows:

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

$=(0.32-0.23)\pm 1.645\times\sqrt{\frac{0.32(1-0.32)}{250}+\frac{0.23(1-0.23)}{175}}\\\\=0.09\pm 0.0714\\\\=(0.0186, 0.1614)\\\\\approx (0.02, 0.16)$

There will be no difference between the two proportions if the 90% confidence interval consists of 0.

But the 90% confidence interval does not consists of 0.

Thus, there is a significant difference between the two proportions.

4 0

3 years ago

Simplify the following expression.<br> 3^3/5• 3^(-7/5)

ad-work [718]

Answer:

$\frac{1}{3x^{\frac{4}{5}}}$

Step-by-step explanation:

Subtract the exponents: 3/5 - 7/5 = -4/5

Equation would become 3^-4/5

Which is equivalent to 1/3x^4/5

7 0

3 years ago

Choose the abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent.

Ber [7]

Answer:

Option D.

LA Theorem or Postulates

Explanation:

LA theorem or postulates is leg-acute states that if the leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.

In $\triangle ACB$ and $\triangle DFC$

$\angle C =\angle F = 90^{\circ}$ [Given]

$\angle B = \angle E$ [Acute angle] [Given]

$BC=EF$ [Given]

By LA theorems or postulates,

$\triangle ACB \cong \triangle DFE$

Therefore, LA theorems or postulates support the conclusion that the triangles are congruent.

8 0

3 years ago

Read 2 more answers

Can someone please help me on 8 and 13

STALIN [3.7K]

Answer:

i cant see the photo

Step-by-step explanation:

6 0

3 years ago

First answer gets the best marks

Delicious77 [7]

Answer:

<h2><em><u>B or the second one</u></em></h2>

Step-by-step explanation:

This is because you have the equation of 2(2/5x + 2).

When you simplify it you have to first do the parenthesis.

So, 2 * 2/5 = 4/5. This is because 2/1 *2/5 is 4/5.

Then you have to do 2*2. This is equal to 4.

Put them together. So it will be.

3 0

4 years ago

Read 2 more answers