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3 years ago

Help me answer this question

Mathematics

1 answer:

Roman55 [17]3 years ago

3 0

Answer:

5 seconds

Step-by-step explanation:

When the ball returns to its original height, it will be 96 ft from the ground. That means we want to solve for t ...

h(t) = 96

96 +80t -16t^2 = 96

16t(5 -t) = 0 . . . . subtract 96 and factor

This equation is true for t=0 and for t=5.

After 5 seconds, the ball will pass the top of the building on the way down.

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3 years ago

In a random sample of 30 people who rode a roller coaster one day, the mean wait time is 46.7 minutes with a standard deviation

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Answer: C. $(29,\ 37.8)$

Step-by-step explanation:

The confidence interval for difference of two population mean is given by :-

$\overline{x}_1-\overline{x}_2\pm z_{\alpha/2}\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2}}$

Given : Level of significance : $1-\alpha:0.99$

Then , significance level : $\alpha: 1-0.99=0.01$

Critical value : $z_{\alpha/2}=z_{0.005}=2.576$

$n_1=30\ ;\ n_2=50\\\\\overline{x}_1=46.7\ ;\ \overline{x}_2=13.3\\\\s_1=9.2\ ;\ s_2=1.9$

$46.7-13.3\pm(2.576)\sqrt{\dfrac{9.2^2}{30}+\dfrac{1.9^2}{50}}\approx33.4\pm4.38=(29.02\ ,37.78)\approx(29,\ 37.8)$

Hence, a 99% confidence interval for the difference between the mean wait times of everyone who rode both rides $(29,\ 37.8)$

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4 years ago

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Answer:

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Step-by-step explanation:

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