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3 years ago

Plz help and give explaination of how to do it

Mathematics

1 answer:

professor190 [17]3 years ago

7 0

Answer:

25% decreased by 60% is 10

Step-by-step explanation:

New value =

25 - Percentage decrease =

25 - (60% × 25) =

25 - 60% × 25 =

(1 - 60%) × 25 =

(100% - 60%) × 25 =

40% × 25 =

40 ÷ 100 × 25 =

40 × 25 ÷ 100 =

1,000 ÷ 100 = 10

hope this helps :)

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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

Plz help have to make this into a mixed number fraction

dmitriy555 [2]

Oh this is easy lol
number 1 is:

2 and 2/3

number 3 is:

2 and 3/5

number 5 is:

3 and 1/6

number 7 is:

3 and 7/8

4 0

3 years ago

What are the roots of x cubed - 7*x squared + 13x-6

Natalka [10]

The roots of x^3 - 7x^2 + 13x - 6 are 0.697, 2 and 4.303

<h3>How to determine the roots?</h3>

The expression is given as:

x^3 - 7x^2 + 13x - 6

Express as a function

f(x) = x^3 - 7x^2 + 13x - 6

Next, we plot the graph of the function f(x) (see attachment)

From the attached graph, we have the zeros to be:

x = 0.697, 2 and 4.303

Hence, the roots of x^3 - 7x^2 + 13x - 6 are 0.697, 2 and 4.303