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Alekssandra [29.7K]
4 years ago
11

Please answer correctly !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!

Mathematics
1 answer:
Alenkasestr [34]4 years ago
5 0

Answer:

first box: -14(x+7)^2-49=0\\(x+7)^2=49\\(x+7)=\sqrt{49} \\(x+7)=+/-7\\x=-7+/-7\\x=-7+7\,\,and\,\,-7-7\\x=0\,\,and\,\,-14

second box: zero

Step-by-step explanation:

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Step-by-step explanation:

Information provided

n=282 represent the sample selected

X=71 represent the teens indicated that they had sent a text message while driving

\hat p=\frac{71}{282}=0.252 estimated proportion of teens indicated that they had sent a text message while driving

p_o=0.25 is the value that we want to test

\alpha=0.01 represent the significance level

z would represent the statistic

p_v represent the p value

System of hypothesis

We want to check if more than a quarter of Americans age 16 to 17 have sent a text message while driving, and the hypothesis are:

Null hypothesis:p\leq 0.7  

Alternative hypothesis:p > 0.25  

The statistic is given by:

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

Replacing we got:

z=\frac{0.252 -0.25}{\sqrt{\frac{0.25(1-0.25)}{282}}}=0.0776  

Decision

The p value for this case is:

p_v =P(z>0.0776)=0.4691  

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