To solve this problem, let us first assign some variables.
Let us say that:
d = represents the population density of the circular region
(in units of 513 people per square mile)
p = represents the population of the circular region (in
units of people)
r = is the radius of the circular region
Now we can see that if we divide p by d, we can get a value
which has a units of square mile. Thus the area of the region, hence:
Area = 79,000 people / (513 people per square mile)
Area = 154 square mile
The area of a circle has the formula:
Area = π r^2
Therefore calculating for r:
154 square mile = π r^2
r = 7 miles (ANSWER)
Answer:
all square roots of natural numbers, other than of perfect squares, are irrational.
Step-by-step explanation:
like 3 or 71
To calculate the price per uniform you have to divide $3000 by 40 uniforms, which equals $75. When some of the uniforms were returned the department received $40 per uniform. To calculate the difference you subtract $40 from $75, which equals $35.
Answer:
The probability that a light bulb of that brand lasts between 1175 hr and 1610 hr is 0.8524.
Step-by-step explanation:
Given : Suppose a brand of light bulbs is normally distributed, with a mean life of 1400 hr and a standard deviation of 150 hr.
To find : The probability that a light bulb of that brand lasts between 1175 hr and 1610 hr ?
Solution :
Applying z-score formula,

where,
is population mean
is standard deviation
For x=1175 hour,



For x=1610 hour,



The required probability is,


Using z table, the values are


The probability that a light bulb of that brand lasts between 1175 hr and 1610 hr is 0.8524.