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densk [106]
3 years ago
11

Find the equation of the line.​

Mathematics
1 answer:
Alex3 years ago
6 0

Answer:

Y=4x-9

Step-by-step explanation:

The line is at -9 when it's on the y axis

It goes up 4 over 1

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arsen [322]

Answer:

30%

Step-by-step explanation:

Initial area is 40 square feet

Final area is 28 square feet

Difference between the initial and final areas will be 40-28=12 square feet

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\frac {12\times 100}{40}=30

Therefore,  the decrease in area expressed as a percentage is equal to 30%

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2 years ago
The U.S. Bureau of Labor Statistics reports that of persons who usually work full-time, the average number of hours worked per w
alukav5142 [94]

Answer:

The standard deviation of number of hours worked per week for these workers is 3.91.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem we have that:

The average number of hours worked per week is 43.4, so \mu = 43.4.

Suppose 12% of these workers work more than 48 hours. Based on this percentage, what is the standard deviation of number of hours worked per week for these workers.

This means that the Z score of X = 48 has a pvalue of 0.88. This is Z between 1.17 and 1.18. So we use Z = 1.175.

Z = \frac{X - \mu}{\sigma}

1.175 = \frac{48 - 43.4}{\sigma}

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\sigma = \frac{4.6}{1.175}

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The standard deviation of number of hours worked per week for these workers is 3.91.

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3 years ago
Which numbers are 4 units from -2 on this number line?
Nady [450]

Answer:

-6 and 2

Step-by-step explanation:

See attached worksheet.

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