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11Alexandr11 [23.1K]
3 years ago
9

To estimate your average monthly salary, divide your yearly salary by the number of months in a year. Write and solve an equatio

n to determine your yearly salary when your average monthly salary is $4,559.
Mathematics
1 answer:
sasho [114]3 years ago
7 0

Answer:

yearly salary = $54,708

Step-by-step explanation:

Let monthly salary be x

Let yearly salary be y

Let number of months be n

To estimate your average monthly salary, divide your yearly salary by the number of months in a year. This can be written as

x = y divided by n

x = \frac{y}{n}

Therefore, writing an equation to determine yearly salary is the same as making the yearly salary 'y' the subject of the formula above:

x = \frac{y}{n}\\cross-multiplying\\n\ \times\ x= y\\y\ =\ nx

where y = ???

x = $4,559

n = 12 months

y =  4,559\ \times\ 12 \\= \$\ 54,708

Therefore yearly salary = $54,708

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2 years ago
Test scores are normally distributed with a mean of 500. Convert the given score to a z-score, using the given standard deviatio
Bond [772]

Answer:

The percentage of students who scored below 620 is 93.32%.

Step-by-step explanation:

Problems of normally distributed samples are 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}

The Z-score measures how many standard deviations the measure is from the mean. 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, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 500, \sigma = 80

Percentage of students who scored below 620:

This is the pvalue of Z when X = 620. So

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

Z = \frac{620 - 500}{80}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

The percentage of students who scored below 620 is 93.32%.

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If m = 9 and z = -7 then<br> what is m? x Z2?
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In the figure to the right, AB = 7 1/2 m, BC = 2 1/4 m, and DE = 1 1/4 m. Find the perimeter of the figure if all angles are rig
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Step-by-step explanation:

Perimeter Of A Figure

Perimeter is the distance measured around a shape. If the figure is line-shaped, the perimeter can be obtained by adding the individual lengths of each segment around the shape.

The figure shown is surrounded by line segments. We only have to add them all to find the perimeter. But we don't need each individual length to do so. We may notice the following (given all angles are right):

The sum of HG+FE+DC equals AB. So the upper and lower lengths are twice AB, or equivalently: 2*7 1/2 m =15 m

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Thus, the total perimeter is 15 m + 7 m = 22 m

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