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3 years ago

Serena ran at a rate of 10 kilometers per hour. What was her speed in kilometers per minute?

Mathematics

2 answers:

Olin [163]3 years ago

8 0

I am pretty sure it is 0.1666 kilometers per minute. Hope I could help! :)

jok3333 [9.3K]3 years ago

5 0

I am not sure what the answer is to this question

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An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 1.6

nexus9112 [7]

Answer:

n=1705

Step-by-step explanation:

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma=1.6)$

And the distribution for $\bar X$ is:

$\bar X \sim N(\mu, \frac{1.6}{\sqrt{n}})$

We know that the margin of error for a confidence interval is given by:

$Me=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The next step would be find the value of $\z_{\alpha/2}$ , $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$

Using the normal standard table, excel or a calculator we see that:

$z_{\alpha/2}=\pm 2.58$

If we solve for n from formula (1) we got:

$\sqrt{n}=\frac{z_{\alpha/2} \sigma}{Me}$

$n=(\frac{z_{\alpha/2} \sigma}{Me})^2$

And we have everything to replace into the formula:

$n=(\frac{2.58(1.6)}{0.1})^2 =1704.03$

And if we round up the answer we see that the value of n to ensure the margin of error required $\pm=0.1$ mm is n=1705.

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3 years ago

Amber's bank statement shows a closing balance of $224.13. There are no outstanding checks deposits. Her checkbook shows a balan

Lina20 [59]

Interest earned in the amount of $2.75

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3 years ago

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Which statement best describes the association between variable X and variable Y? Question 1 options: perfect negative associati

polet [3.4K]

The statement which best describes the association between the variables X and Y is the <em>moderate positive association</em>. It is observable that the values of X and Y are increasing, however, not in a perfect manner as there are some minor deviations. But nonetheless, the direction is clear and the values are close to each other so they have a moderate positive association.

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3 years ago

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What is a word problem for this equation -2(-3.5)

Fiesta28 [93]

Every hand you lose in poker cost you -3.50. How much do you make if you win two hands.

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3 years ago

Jenna can type 140 words in 4 minutes. If she needs to type 385 words, how long would this take her? Explain how you got your an

bija089 [108]

Answer:

11 minutes

Step-by-step explanation:

Because she types only 140 words in 4 minutes so if you add

140+140=280

if you divide

140/4 you get 35

so every minute she types in 35 words. So multiply

11 times 35 and you exactly get 385.

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3 years ago

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