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Galina-37 [17]
3 years ago
7

Mel works as a delivery person for Amazon. The graph shows a linear model for his delivery times on

Mathematics
1 answer:
lakkis [162]3 years ago
3 0

Answer:

Point slope form: -9 = m(3)

Slope intercept form: y = -3x + 30

At x = 0, his delivery time was 30 minutes. It decreased by 3 minutes per day.

Step-by-step explanation:

We have 2 points to calculate the line.

(3, 21) x1 y1

(6, 12) x2 y2

First, we need to calculate the slope.

m =

m =

m = -3

Point slope form is:

y - y1 = m(x - x1)

So for our case:

-9 = m(3)

And slope intercept form is:

y = mx + b

We need to solve for the y intercept (b)

y = -3x + b --- enter the slope

21 = -3(3) + b --- enter in any point on the line for x and y

21 = -9 + b

b = 30 --- solve for b

Now our slope intercept form of the line is:

y = -3x + 30

At x = 0, his delivery time was 30 minutes. It decreased by 3 minutes per day.

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Using the binomial distribution, it is found that the mean and the standard deviation of variable x are given as follows:

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<h3>What is the binomial probability distribution?</h3>

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The expected value of the binomial distribution is:

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The standard deviation of the binomial distribution is:

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In this problem, we have that the parameters are given as follows:

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Hence the mean and the standard deviation are given as follows:

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Answer:


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