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3 years ago

In 2 hours (x) Frank earned $31(y). In 4 hours he earned $62

1 answer:

7 0

Explanation:
In 2 hours (x) Frank earned $31(y)
In 4 hours (x) Frank earned $62(y)

2x = 31y
31 / 2 = 15.5
4x = 15.5 x 4 = 62y

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2 Points

kirill [66]

Answer:

50.24 yd^2

Step-by-step explanation:

The area of a circle can be found using:

$a=\pi r^{2}$

First, we need to find the radius. We have the diameter. The diameter is twice the radius, or

d=2r

We know that the diameter is 8, so we can substitute 8 in for d

8=2r

Since we are trying to find r, we need to get r by itself. To do this, divide both sides by 2.

8/2=2r/2

4=r

Now we know the radius, and can substitute 4 in for r. Also, we can substitute 3.14 in for pi.

$a=\pi r^{2}$

a=3.14*4^2

Solve the exponent

a=3.14*16

Multiply

a=50.24

The area is 50.24 yards^2

8 0

3 years ago

A bag contains $3$ white chips and $3$ red chips. you repeatedly draw a chip at random from the bag. if it's white, you set it a

Natasha2012 [34]

Answer:

8.5

Step-by-step explanation:

We can divide this experiment in three parts.

Before removing any white chip
After ramoving one white chip, and before removing two
After removing two white chips

For the first experiment, for each extraction we will always have 3 white chips and 3 red chips, becuase if we extract a red chip, then we put it back in the bag, and if it is a white chip, then the experiment ends there. The probability of taking out a white chip is 1/2.

For the second experiment, we will have always 2 white chips, and 3 red chips. So the probability of success is 2/5 = 0.4

For the third experiment, we will have always 1 white chip and 3 red chips, so the probability of success if 1/4 = 0.25.

We want to know how many extractions we need for each experiment until we pick a white chip. Note that each experiment is independent of each other, and each one has geometric distribution, the first one with probability of success 0.5, the second one with probability of success 0.4, and the third one with p = 0.25.

The total experiment, X, is the sum of this random variables, so the expected value of the total experimet is the sum of the expected value from each of its parts, lets call them, X₁, X₂ and X₃. Thus,

$E(X) = E(X_1) + E(X_2) + E(X_3) = \frac{1}{0.5}+\frac{1}{0.4} +\frac{1}{0.25} = 2 + 2.5 + 4 = 8.5$

The expected number of draws is 8.5.

I hope i could help you!

7 0

3 years ago

Which explains whether or not the function represents a direct variation? This function represents a direct variation because it

nlexa [21]

The answer choice which explains whether the function is a direct variation or not is; This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour.

<h3>Which explains whether or not the function represents a direct variation?</h3>

It follows from the task content that the function passes through the origin and hence, if the function was represents as a linear function, it's y-intercept would be zero.

Furthermore, the slope, otherwise termed it's rate of chage is constant and is evaluated as; $5 per hour. Hence, the aforementioned form the basis for the classification of the function as a direct variation.