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olga nikolaevna [1]
2 years ago
9

A county is in the shape of a rectangle that is 60 miles by 70 miles and has a population of 50,000. What is the average number

of people living on each square mile of the county? Round your answer to the nearest whole number.
192

10

14

12
Mathematics
1 answer:
lakkis [162]2 years ago
5 0

Answer:

The correct answer is:

12

Step-by-step explanation:

Length of county = 70 miles

breadth of county = 60 miles

area of county (rectangle) = Length × Breadth = 60 × 70 = 4,200 sqaure miles

population of county = 50,000

Therefore, to find the average number of people living on each square mile of the county, we will assume that the whole population is equally distributed in the county, hence the population per square mile is calculated thus:

Total area = 4,200 square miles

total population = 50,000

This means that:

4,200 square miles contains 50,000 people

4,200 sq. miles = 50,000 people

∴ 1 sq. mile = 50,000 ÷ 4,200 = 11.9 = 12 people (to the nearest whole number)

therefore number of people living per square mile = 12

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Mateus’s bank issued an advertisement saying that 90\%90%90, percent of its customers are satisfied with the bank’s services. Si
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Answer:

The probability of getting a sample with 80% satisfied customers or less is 0.0125.

Step-by-step explanation:

We are given that the results of 1000 simulations, each simulating a sample of 80 customers, assuming there are 90 percent satisfied customers.

Let \hat p = <u><em>sample proportion of satisfied customers</em></u>

The z-score probability distribution for the sample proportion is given by;

                                Z  =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, p = population proportion of satisfied customers = 90%

            n = sample of customers = 80

Now, the probability of getting a sample with 80% satisfied customers or less is given by = P( \hat p \leq 80%)

  P( \hat p \leq 80%) = P( \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } \leq \frac{0.80-0.90}{\sqrt{\frac{0.80(1-0.80)}{80} } } ) = P(Z \leq -2.24) = 1 - P(Z < 2.24)

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The above probability is calculated by looking at the value of x = 2.24 in the z table which has an area of 0.9875.

8 0
2 years ago
Two boats depart from a port located at (–10, 0) in a coordinate system measured in kilometers, and they travel in a positive x-
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To get the points at which the two boats meet we need to find the equations that model their movement:
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1/5(x-10)=y-4
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2 years ago
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"On a map, 0.25 inches represents 1 mile. What is the area of a rectangle on the map that is 3.75 inches long and 2.25 inches wi
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0.25 inches represents 1 mile

----------------------------------------------
Find 1 inch:
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1 inch represents 1 ÷ 0.25 miles
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----------------------------------------------
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1 inch represents 4 miles
3.75 inches represent 4 x 3.75 miles
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Find 2.25 inches:
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Find Area:
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Area = Length x Width
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Answer: 135 miles²
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Complete question:

The line graph relating to the question was not attached. However, the line graph has can be found in the attachment below.

Answer:

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Step-by-step explanation:

The line graph provides information about alcohol-related highway fatalities between year 2001 to 2010.

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The average number of alcohol related fatalities between 2001 - 2006 can be calculated thus :

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Year - - - - - - - - - - Number of fatalities

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2002 - - - - - - - - -  17525

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2004 - - - - - - - - - 16694

2005 - - - - - - - - - 16885

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