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jolli1 [7]
1 year ago
6

You are in charge of a crew that inspects cars. Each car takes approximately 1/2 hour for 1 person to inspect. The normal crew h

as 10 people, but this crew is missing 2 people. If you have 320 cars that need to be inspected, how many hours will each of the inspectors need to work?
Mathematics
1 answer:
jonny [76]1 year ago
7 0

Answer:

Each inspectors NEEDS to work 20 hours in order to review 320 cars.

Step-by-step explanation:

The amount of time taken to inspect 1 car = 1/2 hr = 0.5 hr

The total people in crew are supposed to be 10

But 2 people are MISSING.

So, the total number of present people in crew = 10 - 2=  8

The total number of cars to be inspected  = 320 cars.

Since each car takes 0.5 hour to be reviewed.

So, the time required to review 320 cars =  320 x 05  = 160 hours.

So, the total hours needed to inspect all 320 cars = 160 hours

Now,as there are total 8 crew members.

\implies \textrm{The number of hours each inspector needs to work} = \frac{\textrm{Total working hours needed}}{\textrm{Toal number of inspectors}} \\= \frac{160}{8}  = 20

Hence , each inspectors NEEDS to work 20 hours in order to review 320 cars.

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Suppose that 3\%3%3, percent of over 200{,}000200,000200, comma, 000 books borrowed from a library in a year are downloaded. The
sleet_krkn [62]

Answer:

The mean of the sampling distribution of the proportion of downloaded books is 0.03 and the standard deviation is 0.0197.

Step-by-step explanation:

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

3% of books borrowed from a library in a year are downloaded.

This means that p = 0.03

SRS of 75 books.

This means that n = 75

What are the mean and standard deviation of the sampling distribution of the proportion of downloaded books

By the Central Limit Theorem

Mean: \mu = p = 0.03

Standard deviation: s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.03*0.97}{75}} = 0.0197

The mean of the sampling distribution of the proportion of downloaded books is 0.03 and the standard deviation is 0.0197.

4 0
1 year ago
Marshall's mother buys 2 boxes of granola bars each week. Each box contains 8 granola bars. If she continues buying 2 boxes each
frutty [35]
2 x 8 =16
16 granola bars a week 
52 x 16 = 832 granola bars in a year
7 0
1 year ago
A bicycle tire has a radius of 5 inches. To the nearest inch, how far does the tire travel when it makes 8 revolutions?
Pani-rosa [81]

Answer:

251 inches

Step-by-step explanation:

c = 2πr

c = 2(3.14)(5) = 31.4

31.4 x 8 rev. = 251 inches

4 0
1 year ago
It’s number 13 and I have to use the area formulas to find each missing measure
ivanzaharov [21]
13)
A = bh
h = A/b
h = 211.4  /  24.3
h = 8.7

answer
height = 8.7 m
6 0
1 year ago
A cash register contains q quarters. Write an algebraic expression that represents the total amount of money (in dollars).
kati45 [8]

Answer:

0.25q

Step-by-step explanation:

A cash register is a machine used in small business that sums, display and records the total amount made by each sale. A cash register also has a drawer which is used to store money.

A quarter is a coin in the United States which is 25 cents.

Converting 25 cents to dollars:

100 cents = $1

25 cents = 25 cents × $1 / 100 cent = $0.25

The total amount of money registered = number of quarters × $0.25

The total amount of money registered = q × $0.25 = 0.25q

5 0
1 year ago
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