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2 years ago

It took Hank 3.4 hours to travel 124 miles. At that rate, how long will it take Hank to travel 310 miles?

Mathematics

1 answer:

Delicious77 [7]2 years ago

6 0

Answer: Time = 8.5 hours

Step-by-step explanation:

Step 1

Speed = distance / time

Distance traveled by Hank = 124 miles

Time = 3.4 hrs

Speed= Distance / Time

= 124/ 3.4 = 36.47 miles per hour

Step 2

At this same rate of speed =36.47 miles per hour, if he travels 310 miles, he will spend=

Time = Distance / Speed

Time = 310/ 36.47

Time =8.5 hours

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Answer the questions below.

DedPeter [7]

Answer:

63 m

Step-by-step explanation:

Perimeter is 276, 2L + 2W = 276, so L + W = 138

L = 75

138 - 75 = W

63 m

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2 years ago

Suppose that a jewelry store tracked the amount of emeralds they sold each week to more accurately estimate how many emeralds to

RUDIKE [14]

Answer:

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

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

And for this case the 95% confidence interval is given by (2.13; 2.37)

We have a point of estimate for the sample mean with this formula:

$\bar X = \frac{Upper+ Lower}{2}= \frac{3.37+2.13}{2}= 2.75$

And for the margin of error we have the following estimation:

$ME= \frac{Upper -Lower}{2}= \frac{3.37-2.13}{2}= 0.62$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

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".

$\bar X$ represent the sample mean

$\mu$ 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)

And for this case the 95% confidence interval is given by (2.13; 2.37)

We have a point of estimate for the sample mean with this formula:

$\bar X = \frac{Upper+ Lower}{2}= \frac{3.37+2.13}{2}= 2.75$

And for the margin of error we have the following estimation:

$ME= \frac{Upper -Lower}{2}= \frac{3.37-2.13}{2}= 0.62$

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3 years ago

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Answer:

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log(ab) = log(a) +log(b)

log(a/b) = log(a) -log(b)

log(a^b) = b·log(a)

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