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ANEK [815]
2 years ago
12

A non-profit organization provides homeless children with backpacks filled with school supplies. For the last 5 years the organi

zation has given out 278, 310, 320, 242, and 303 backpacks filled with school supplies. What is the average number of backpacks given out in the last five years?
Mathematics
1 answer:
Nady [450]2 years ago
3 0

Answer:

  290.6 backpacks per year

Step-by-step explanation:

The average of 5 numbers is 1/5 of their sum:

  average = (278 +310 +320 +242 +303)/5 = 290.6

The average number of backpacks given out in the last 5 years is 290.6, about 291.

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125 A football stadium holds 55,296 people. The seating is divided into
stiks02 [169]

Answer:

1536

Step-by-step explanation:

simply divide 55296 by 36

4 0
3 years ago
Find the product. (3.2)(6.4)
vfiekz [6]
Answer:

20.48

The parentheses just means multiplication.
8 0
2 years ago
The speeds of vehicles traveling on a highway are normally distributed with an unkown population mean and standard deviation. A
Maksim231197 [3]

Answer:

The 90% confidence interval would be given by (60.09;69.91)    

We are 90% confident that the true mean for the speeds of vehicles traveling on a highway is between 60.09 and 69.91 miles per hour.

Step-by-step explanation:

1) 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 =65 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=9 represent the sample standard deviation

n=11 represent the sample size  

2) Confidence interval

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

df=n-1=11-1=10

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 value. The excel command would be: "=-T.INV(0.05,10)".And we see that t_{\alpha/2}=1.81

Now we have everything in order to replace into formula (1):

65-1.81\frac{9}{\sqrt{11}}=60.09    

65+1.81\frac{9}{\sqrt{11}}=69.91

So on this case the 90% confidence interval would be given by (60.09;69.91)    

We are 90% confident that the true mean for the speeds of vehicles traveling on a highway is between 60.09 and 69.91 miles per hour.

3 0
2 years ago
Bills family is driving across the country on vacation . They plan to stop at historical sites in each state they drive through.
maks197457 [2]

Answer: Blll's family has 70% of driving left.

Step-by-step explanation:

The total mileage of the trip = 3,000 miles.

miles driven so far = 900miles

Miles of diatance left = 3000- 900=2100

Percentage of driving left =  Miles of diatance left / Total miles to cover x 100

=2100/3000 x 100

= 7/10  x100

70%

4 0
2 years ago
A draw scaling of a parking lot has a width of four inches. If the scale is 1 inch = 8 feet. What is the actual width of the par
IgorLugansk [536]

Answer: 32 feet

Step-by-step explanation:

Since 1 inch equals 8 feet and the parking lot has a width of 4 inches we multiply 8 times 4 giving you an answer of 32, so the parking lot's width is 32 feet.

4 0
2 years ago
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