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larisa86 [58]
3 years ago
15

Ac=r+d for a solve equation for the indicated variable

Mathematics
1 answer:
konstantin123 [22]3 years ago
5 0

\boxed{a=\frac{r+d}{c}}

<h2>Explanation:</h2>

Here we have the following expression:

ac=r+d

And the question asks for solving the equation for the variable a. So we need to divide both sides of the equation by c:

ac=r+d \\ \\ \frac{ac}{c}=\frac{r+d}{c} \\ \\ \\ But: \\ \\ \frac{c}{c}=1 \\ \\ \\ So: \\ \\ \boxed{a=\frac{r+d}{c}}

<h2>Learn more:</h2>

Solving equations: brainly.com/question/10643312

#LearnWithBrainly

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a) z=\frac{0.684 -0.58}{\sqrt{\frac{0.58(1-0.58)}{114}}}=2.250  

b) p_v =2*P(z>2.250)=0.0244  

If we compare the p value and the significance level given we see that p_v we have enough evidence to reject the null hypothesis at 5% of significance.

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Data given and notation

n=114 represent the random sample taken

\hat p=0.684 estimated proportion of people that their approval rating might have changed

p_o=0.58 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Hypothesis

We need to conduct a hypothesis in order to test the claim that true proportion of people that their approval rating might have changed is 0.58 or no.:  

Null hypothesis:p=0.58  

Alternative hypothesis:p \neq 0.58  

Part a

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.684 -0.58}{\sqrt{\frac{0.58(1-0.58)}{114}}}=2.250  

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The significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z>2.250)=0.0244  

If we compare the p value and the significance level given we see that p_v we have enough evidence to reject the null hypothesis at 5% of significance.

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