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nataly862011 [7]
3 years ago
11

If x=4 and y=2 what is the value of 5xy to the power of 2

Mathematics
1 answer:
nasty-shy [4]3 years ago
7 0

Answer:

160

Step-by-step explanation:

5(4)(2)= 40. 40 squared = 160

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The sum of four consecutive odd numbers is 40 what is the greatest of the four numbers
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Answer:

13

Step-by-step explanation:

First find the average the numbers (40 / 4 = 10)

2 are more and 2 are less

7, 9, 11, 13

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An object starts at position 12 on a horizontal line with a reference point of 0. What is the position of the object if it
poizon [28]

Answer:

The answer would be B

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I need help please!
tester [92]

Answer:

x=-7

Step-by-step explanation:

75+x+52+67+x=180

2x+194=180

2x=-14

x=-7

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A large car insurance company selected samples of single and married male policyholders and recorded the number who made an insu
nalin [4]

Answer:

The null hypothesis is rejected.

There is enough evidence to support the claim that rates are higher for single male policyholders verses married male policyholders (P-value = 0.004).

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that rates are higher for single male policyholders verses married male policyholders.

Then, the null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2> 0

The significance level is 0.05.

The sample 1 (single group), of size n1=450 has a proportion of p1=0.1489.

p_1=X_1/n_1=67/450=0.1489

The sample 2 (married group), of size n2=925 has a proportion of p2=0.1005.

p_2=X_2/n_2=93/925=0.1005

The difference between proportions is (p1-p2)=0.0483.

p_d=p_1-p_2=0.1489-0.1005=0.0483

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{67.005+93}{450+925}=\dfrac{160}{1375}=0.1164

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

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.1164*0.8836}{450}+\dfrac{0.1164*0.8836}{925}}\\\\\\s_{p1-p2}=\sqrt{0.0002+0.0001}=\sqrt{0.0003}=0.0184

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.0483-0}{0.0184}=\dfrac{0.0483}{0.0184}=2.62

This test is a right-tailed test, so the P-value for this test is calculated as (using a z-table):

P-value=P(z>2.62)=0.004

As the P-value (0.004) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that rates are higher for single male policyholders verses married male policyholders.

6 0
3 years ago
3. What three numbers are the Pythagorean triple generated by using 4 for x and 1 for y. Remember to use the formulas:
Gnom [1K]

Given:

The three equations for the three numbers are

a=x^2-y^2

b=2xy

c=x^2+y^2

To find:

The Pythagorean triple generated by using 4 for x and 1 for y.

Solution:

Substituting x=4 and and y=1 in the given equations, we get

a=4^2-1^2

a=16-1

a=15

In the same way find b and c.

b=2(4)(1)

b=8

The third number is

c=4^2+1^2

c=16+1

c=17

The required Pythagorean triple is 8, 15, and 17.

Therefore, the correct option is C.

5 0
3 years ago
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