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gladu [14]
3 years ago
15

Salaries for an large engineering company are normally distributed with a mean of $80,000 and a standard deviation of $8,450. An

employee was having their annual appraisal and the manager indicated that the employee salary for next year has a Z-score of 1.24. Approximately how much will this employee be paid next year in salary? Salary=$[salary] Enter your answer to the nearest hundred of dollars, i.e 50,185 would be entered 50,200.
Mathematics
1 answer:
zlopas [31]3 years ago
7 0

Answer:

Salary: $90,500

Step-by-step explanation:

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 problem, we have that:

\mu = 80000, \sigma = 8450

An employee was having their annual appraisal and the manager indicated that the employee salary for next year has a Z-score of 1.24. Approximately how much will this employee be paid next year in salary?

This is X when Z = 1.24. So

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

1.24 = \frac{X - 80000}{8450}

X - 80000 = 1.24*8450

X = 90478

Rouded to the nearest hundred of dollars:

Salary: $90,500

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4 0
3 years ago
In 3x−7≤ -2 what is the largest integer value of x in the solution
PtichkaEL [24]

Answer:

X is less than or equal to 1.66666666667

Step-by-step explanation:

3x-7(less than or equal to)-2

-7+7= 0

-2+7=5

3x divided by 3 cancles out

5 divided by 3 = 1.66666666667

x is less than or equal to 1.66666666667

8 0
2 years ago
Give the equation of the line perpendicular to y +7= -2(x - 6) through the<br> point (6,-3)
lilavasa [31]

<u>Note: this answer assumes the equation of the line can be put in slope-intercept form. </u>

Answer:

y + 3 = \frac{1}{2}(x-6)

Step-by-step explanation:

1) First, find the slope of y + 7 = -2 (x - 6). We can see that it's already in point-slope form, or y-y_1 = m (x-x_1) format. Remember that the number in place of the m is the slope. Therefore, -2 is the slope of that equation.

What we need is the slope that is perpendicular to that, though. So, find the opposite reciprocal of -2. To do this, change its sign, convert it into a fraction (-\frac{2}{1}), and flip its numerators and denominators. Therefore, the perpendicular slope would be \frac{1}{2}.

2) Now that we have a slope and a point the line passes through, we can write an equation using the point-slope formula, y-y_1 = m (x-x_1). In order to write an equation, the x_1, y_1, and m have to be substitute for with real values.

The m represents the slope. We already calculated that in the last step, so put \frac{1}{2} in place of the m. The x_1 and y_1 represent the x and y values of a point the line passes through. We know that the line has to pass through (6, -3), so substitute 6 for x_1 and -3 for y_1:

y - (-3) = \frac{1}{2}(x -(6))\\y + 3 = \frac{1}{2}(x - 6)

Therefore, (again, assuming that the line can be put in point-slope form) the answer is y + 3 = \frac{1}{2}(x-6).

5 0
3 years ago
Oceanside Bike Rental Shop charges a 15 dollar fixed fee plus 9 dollars an hour for renting a bike. Dan paid 69 dollars to rent
vovikov84 [41]

Answer:

Step-by-step explanation:

Dan paid  69 divided by 9 = H - 15

7 0
3 years ago
How do you solve this
PilotLPTM [1.2K]
Since 3=30/10, (30+1)/10=31/10. 31s/10=(30+1)/5 ( we get 30 because 5*6=30) = 31/5. Multiplying both sides by 10, we get 31s=62 (since 5 is a factor of 10, we can do 10/5 =2 and multiply 2 by 31). Dividing both sides by 31, we get s =2
7 0
3 years ago
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