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3 years ago

Which step(s) would create equations so that the coefficients of one of the variables are

Mathematics

1 answer:

bekas [8.4K]3 years ago

8 0

The answer would be (D) Multiply the second equation by 4.

The second equation would become 8x - 8y = -28, and the 8y from the first equation and the -8y from the second would cancel out and you can solve for x.

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How do you solve (7-2)/5 step by step

gtnhenbr [62]

7 - 2 = 5

5 / 5 = 1

The answer would be 1.

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3 years ago

Based on the information from Harper's Index, 37 out of 100 adult Americans who did not attend college believe in extraterrestri

vazorg [7]

Answer: Yes, this indicate the proportion of adult americans that attended college and believe in extraterrestrials is higher than the proportion that did not attend college.

Step-by-step explanation:

Since we have given that

Hypothesis:

$H_0:p_1=p_2\\\\H_a:p_1>p_2$

n₁ = 100

x₁ = 37

So, $p_1=\dfrac{x_1}{n_1}=\dfrac{37}{100}=0.37$

n₂ = 100

x₂ =47

So, $p_2=\dfrac{47}{100}=0.47$

At 0.01 level of significance, z = 2.33

So, test statistic value would be

$z=\dfrac{p_1-p_2}{\sqrt{\dfrac{p_1(1-p_1)}{n_1}+\dfrac{p_2(1-p_2)}{n_2}}}\\\\z=\dfrac{0.37-0.47}{\sqrt{\dfrac{0.37\times 0.63}{100}+\dfrac{0.47\times 0.53}{100}}}\\\\z=-1.44$

Since, 2.33>-1.44

Hence, we will reject the null hypothesis.

Therefore, Yes, this indicate the proportion of adult americans that attended college and believe in extraterrestrials is higher than the proportion that did not attend college

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3 years ago