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3 years ago

Kristin made a trip to the town hall and

Mathematics

1 answer:

finlep [7]3 years ago

8 0

Answer:

Step-by-step explanation:

Lets write down what we know.

The trip to the town hall took 6 hours.

The trip back took 5 hours.

She averaged 30mph on the trip back.

If we are supposed to find the average speed on the trip, we need to find the distance to the town hall.

Since we know that she went 30 miles every hour on the return trip, we can multiply 30 miles by the amount of hours it took her to calculate the distance.

30*5=150

The distance of her trip is 150 hours.

Now we need to calculate her average there.

If she took 6 hours to get there, we simply need to divide 150 by 6 to find her rate of speed.

150/6=25

Her average speed on the trip to the town hall was 25 miles per hour.

Hope this helps!

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4,284 passengers traveling by the intercity bus every day, the intercity bus operates 6 hours every day, find the number of pass

Lemur [1.5K]

Answer:

714

Step-by-step explanation:

So lets go over what we know.

The bus only goes for 6 hours each day.

So lets just think of a full day as 6 hours.

Each day(6 hours), 4284 passangers ride the bus.

To find passangers per hour, we must divide the total passangers by the total hours.

This is 4284(total passangers) divided by 6(total hours):

4284/6

714

So each hour, there are 714 passangers.

Hope this helps!

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3 years ago

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Step-by-step explanation:

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A simple random sample from a population with a normal distribution of 98 body temperatures has x =98.90 °F and s =0.68°F. Const

Ludmilka [50]

Answer:

$0.609 \leq \sigma \leq 0.772$

And the best conclusion would be:

D. This conclusion is safe because 1.40 °F is outside the confidence interval.

Step-by-step explanation:

1) Data given and notation

s=0.68 represent the sample standard deviation

$\bar x =98.90$ represent the sample mean

n=98 the sample size

Confidence=90% or 0.90

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 mean or variance 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.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=98-1=97$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical values.