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larisa86 [58]
3 years ago
5

Light travels at a speed of about 1.86×105 miles per second. Suppose a space ship is able to travel at the speed of light. If th

e distance around Mars along its equator is about 1.33×104 miles, how many times could the space ship travel around the Mars in 1 second? Round to the nearest tenth if necessary.
Mathematics
1 answer:
tamaranim1 [39]3 years ago
4 0

Answer:

The answer is 448 seconds

Step-by-step explanation:

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The diagram below shows the start and finish diagrams of a construction using a compass and straightedge. Which of the following
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What's the equation of this sequence 4,8,16,32,64,128,256
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See below

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Here we have a function a such that a: \mathbb{N}\to \mathbb{R} and a:n  \mapsto a(n) = a_n

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A doctor is measuring the average height of male students at a large college. The doctor measures the heights, in inches, of a s
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Answer:

For this case the  95% confidence interval is given (63.5 , 74.4) and we want to conclude about the result. For this case we can say that the true mean of heights for male students would be between 63.5 and 74.4. And the best answer would be:

b. The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches.

Step-by-step explanation:

Notation

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the mean and the sample deviation we can use the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n} (2)  

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}} (3)  

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=40-1=39

For this case the  95% confidence interval is given (63.5 , 74.4) and we want to conclude about the result. For this case we can say that the true mean of heights for male students would be between 63.5 and 74.4. And the best answer would be:

b. The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches.

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