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3 years ago

In the diagram below, A8 is parallel to CD. What is the value of y? Help me

Mathematics

1 answer:

Anna11 [10]3 years ago

4 0

Answer:

C. 108

Step-by-step explanation:

The angles are known as same-side interior angles. They are supplementary angles so their sum is 180°.

$y+72=180\\y+72-72=180-72\\y=108$

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Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .10 significa

nata0808 [166]

Answer:

The test statistics is $t = -1.40$

The critical value is $Z_{\alpha } = 2.33$

The null hypothesis is rejected

Step-by-step explanation:

From the question we are told that

The sample size for men is $n_1 = 80$

The sample proportion of men that own a cat is $\r p _M = 0.40$

The sample size for women is $n_2 = 80$

The sample proportion of women that own a cat is $\r p_F = 0.51$

The level of significance is $\alpha = 0.10$

The null hypothesis is $H_o : \r p _M = \ r P_F$

The alternative hypothesis is $H_a : \r p _M < \r p_F$

Generally the test statistic is mathematically represented as

$t = \frac{(\r p_M - \r p_F)}{\sqrt{\frac{(p_M*(1-p_M)}{n_1 } } + \frac{p_F*(1-pF)}{n_2 } }$

=> $t = \frac{(0.40 - 0.51)}{\sqrt{\frac{(0.40 *(1-0.41)}{80} } + \frac{0.51*(1-0.51)}{80 } }$

=> $t = -1.40$

The critical value of $\alpha$ from the normal distribution table is

$Z_{\alpha } = 2.33$

The p-value is obtained from the z-table ,the value is

$p-value = P( Z < -1.40) = 0.080757$

=> $p-value = 0.080757$

Given that the $p-value < \alpha$ then we reject the null hypothesis

7 0

3 years ago

How do you solve this a^2+b^2=c^2

DiKsa [7]

Answer:

c = $-\sqrt{a^2+b^2}$

Step-by-step explanation:

$-\sqrt{a^2+b^2=c}$

7 0

4 years ago

Write each expression as a difference.<br> a+5

SCORPION-xisa [38]

The equivalent expression of a + 5 is -(-a - 5)

<h3>How to rewrite the expression?</h3>

The expression is given as:

a + 5

Multiply by 1

1 * (a + 5)

Express 1 as -1 * -1

-1 * -1 * (a + 5)

Open the bracket

-1 * (-a - 5)

This gives

-(-a - 5)

Hence, the equivalent expression of a + 5 is -(-a - 5)

Read more about equivalent expression at:

brainly.com/question/2972832

#SPJ1

8 0

2 years ago

The cost of renting a pickup truck at Trucks Plus is $25 plus $15 cents per mile driven. The cost of renting a truck at Need-A-T

kodGreya [7K]

Okay so. Here's what it looks like : TRUCK PLUS: $25 is the fee upfront. so no matter what your GOING to pay $25 for using the company. Next 15 cents for every mile driven. So if the truck were to drive 3 miles it would be $.45 cents

NEED-A-TRUCK : Same thing. You have to pay $25 no matter what. But for this company you have to pay $.10 per mile. COST PER MILE means that basically the more miles you drive, the more cents you have to pay. Does that make sense? <span />

6 0

3 years ago

The fraction 9/15 is an equivalent fraction of<br><br> 6/20 <br><br>1/2 <br><br>3/5

Mama L [17]

Answer:

3/5

Step-by-step explanation:

3/5 is equal to 9/15.

7 0

3 years ago

Read 2 more answers