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ruslelena [56]
4 years ago
10

jimmy and his family are on their way to visit some family friends who live 780 miles away from them.based on the route they cho

se they expect to complete their trip in three days. the distances and average speeds for the first two days driven are shown below. first day 4 hours at an averge speed of 60 miles per hour second day 6 hours at average speed of 65 miles per hour if the average speed on the third day is 60 miles pe hour how many more hours willit tak foe them to reach their family friends home
Mathematics
1 answer:
schepotkina [342]4 years ago
6 0

If they drive an average of 60 miles per hour the last day it will take them 2.5 hours.


4 hours at 60 miles per hour = 4*60 = 240 miles

6 hours at 65 miles per hour = 6*65 = 390 miles


This is a total of 630 miles.  There are 780-630=150 miles left; if they average 60 miles per hour, that would be 150/60 = 2.5 hours.

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4 years ago
Because of staffing decisions, managers of the Gibson-Marion Hotel are interested in the variability in the number of rooms occu
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Answer:

a) s^2 =30^2 =900

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Step-by-step explanation:

Assuming the following question: Because of staffing decisions, managers of the Gibson-Marimont Hotel are interested in  the variability in the number of rooms occupied per day during a particular season of the  year. A sample of 20 days of operation shows a sample mean of 290 rooms occupied per  day and a sample standard deviation of 30 rooms

Part a

For this case the best point of estimate for the population variance would be:

s^2 =30^2 =900

Part b

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 degrees of freedom are given by:

df=n-1=20-1=19

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\chi^2_{1- \alpha/2}=10.117

And replacing into the formula for the interval we got:

\frac{(19)(30)^2}{30.144} \leq \sigma^2 \leq \frac{(19)(30)^2}{10.117}

567.28 \leq \sigma^2 \leq 1690.224

Part c

Now we just take square root on both sides of the interval and we got:

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5 0
4 years ago
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7 0
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Answer:

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I hope I helped you^_^

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