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3 years ago

The area of a circle is 615.44 in2. What is the diameter of the circle? Use 3.14 for π.

2 answers:

6 0

615.44 = (3.14)(radius)^2

radius = square-root of (615.44/3.14) 

diameter = radius x 2 

diameter = 28 inches

3.14

Ugo [173]3 years ago

6 0

Answer:

the answer is D

Step-by-step explanation:

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Behavior patterns which are already present at birth are called ____

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2 years ago

There are two consecutive positive even integers such that the square of the first is 364 more than five times the second. What

xxMikexx [17]

Answer:

Step-by-step explanation:

There are two consecutive positive even integers such that the square of the first is 364 more than five times a second. What are the two numbers?

Two consecutive year positive integers are represented by

x and x + 1

First integer = x

Second integer = y

There are two consecutive positive even integers such that the square of the first is 364 more than five times a second.

This is represented mathematically as:

x² = 364 + 5(x + 1)

x² = 364 + 5x + 5

x² -5x -5 - 364

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2 years ago

The cycle time for trucks hauling concrete to a highway construction site is uniformly distributed over the interval 40 to 75 mi

jeka57 [31]

Answer:

0.8333 = 83.33% probability that the cycle time exceeds 50 minutes if it is known that the cycle time exceeds 45 minutes

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

$P(X > x) = \frac{b - x}{b - a}$

Uniformly distributed over the interval 40 to 75 minutes.

This means that $a = 40, b = 75$

It is known that the cycle time exceeds 45 minutes

This means that we can use $a = 45$

What is the probability that the cycle time exceeds 50 minutes?

$P(X > 50) = \frac{75 - 50}{75 - 45} = 0.8333$

0.8333 = 83.33% probability that the cycle time exceeds 50 minutes if it is known that the cycle time exceeds 45 minutes

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3 years ago

What is 1/6 divided by 1/2/3 in simplest form

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Answer:

Step-by-step explanation:

Given :

$\frac{1}{6}$ divided by $\frac{1/2}{3}$

Now, it can be solving as:

$\frac{1/6}{\frac{\frac{1}{2} }{3} } \\=\frac{\frac{1}{6} }{\frac{1}{6} } \\=1$

Simplest form of given equation is 1

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