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swat32
3 years ago
5

A circle has an area of 40 square inches. Find the radius to 2 decimal places.

Mathematics
1 answer:
Oksanka [162]3 years ago
7 0

The area of a circle is given by

A=\pi r^2

We can solve this equation for r: divide both sides by pi:

r^2=\dfrac{A}{\pi}

Consider the (positive) square root of both sides:

r = \sqrt{\dfrac{A}{\pi}}

So, in your case, we have

r = \sqrt{\dfrac{40}{\pi}}\approx 3.57

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Step-by-step explanation:

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A college statistics class at a nearby university has 1,000 students enrolled in it. On a recent exam, the mean score was 75% wi
IceJOKER [234]

Answer:

38.11%

Step-by-step explanation:

Given that:

Mean (μ) = 75, standard deviation (σ) = 5

Z score is a measure in statistics to determine the variation of a raw score from the mean. It is given by the equation:

z=\frac{x-\mu}{\sigma}

To calculate the percentage of students scored between a 73 and 78 (C grade), we need to find the z score for 73 and then for 78.

For x = 73, the z score is:

z=\frac{x-\mu}{\sigma}=\frac{73-75}{5} =-0.4

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z=\frac{x-\mu}{\sigma}=\frac{78-75}{5} =0.6

From the probability distribution table:

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3 years ago
An office and apartment building is made up of modules. Each module is a rectangular prism. The building has 150 modules, and is
Elis [28]

Answer:

Part 1) 10 modules per floor

Part 2) Two different rectangular prism

Step-by-step explanation:

Part 1)

Let

x ----> the number of modules

y ---> the number of stories

we have

x=150\ modules\\y=15\ stories

Divide the number of modules by the number of stories

so

\frac{x}{y}=\frac{150}{15}=10\ \frac{modules}{floor}

Part 2) How many different rectangular prisms could be made from that number?

The number is 10

Look at the factors of  10

They are  1,2 ,4,5 and 10

Pick any two of these factors and determine if there is a third value from this list so that the product of the three factors is 10

There are 2 combinations that will work :

1 0×1×1

2 ×5×1

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3 years ago
Simplify the expression -2+6.45z-6+(-3.25z)
erik [133]

Answer:

-8 + 3.2z

Step-by-step explanation:

  1. when there is a "+" in front of an expression in parentheses, the expression remains the same
  2. -2 + 6.45z - 6 - 3.25z
  3. calculate the difference

-8 + 6.45z - 3.25z

collect like terms

-8 + 3.2z

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