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frozen [14]
3 years ago
10

Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below

.
Nico got a score of 103.2; this version has a mean of 69.6 and a standard deviation of 14.
Emilio got a score of 311.9; this version has a mean of 259 and a standard deviation of 23.
Morgan got a score of 7.9; this version has a mean of 7.3 and a standard deviation of 0.5.

If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?
Mathematics
1 answer:
lisabon 2012 [21]3 years ago
5 0

Answer:

Vincent and Reyna.

Step-by-step explanation:

To compare the performance of three potential employees, we have to convert each score into z score.  

Vincent got 83.5 for a N(68.2, 99)

Z score for Vincent =

Kaitlyn got 251.2 with N(238, 22)

Z score for Kaitlyn =

Reyna got a score of 8.04 for N(7.27, 0.7)

Z score for Reyna =

Z score higher is a better option since all z scores are positive

Hence here Reyna is a good option.

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So far this basketball season, Sherita made 46 of her
Tresset [83]

Answer:

<em>Sherita would need to make 10 free throws</em>

Step-by-step explanation:

<u>Proportions</u>

Sherita made 46 of her first 60 free throws in this basketball season. Calculating the average we get:

\displaystyle \frac{46}{60}=76.7\%

Sherita wants to have a free throw average of at least 80% in her next x free throws. This means she will have 46+x made throws out of 60+x total throws. For this new performance, the new average would be:

\displaystyle \frac{46+x}{60+x}

And we equate it to 80% (0.8 in decimal):

\displaystyle \frac{46+x}{60+x}=0.8

Multiplying by 60+x:

46+x=0.8(60+x)

Operating:

46+x=48+0.8x

Subtracting 46 and 0.8x:

0.2x=2

Dividing by 0.2

x = 10

Sherita would need to make 10 free throws

3 0
3 years ago
Fifteen decreased by four times a number
expeople1 [14]
The answer is (4x)-15.
5 0
4 years ago
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Let u = ⟨-12,-24⟩. Which graph shows the resulting vector of multiplying u by -1/4?
Tasya [4]

Answer:

it's C

Step-by-step explanation:

edge 2020

6 0
3 years ago
A 16 ft ladder leans against the side of a house. The bottom of the ladder is 7 ft away from the side of the house. Find x , the
anzhelika [568]
Check the picture below.

make sure your calculator is in Degree mode.

3 0
3 years ago
The combined area of the 3 windowpanes and frame shown below is 924 in.2. The frame is of uniform width. What is the side length
wariber [46]

Answer:

Option A. x=10\ in

Step-by-step explanation:

we know that

The combined area of the 3 windowpanes and frame is equal to

(3x+12)(x+12)=924\\ \\3x^{2}+36x+ 12x+144=924\\ \\ 3x^{2}+48x-780=0

using a graphing tool to solve the quadratic equation

The solution is x=10\ in

see the attached figure

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4 years ago
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