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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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Serena will get $13.00 in change from the 20 dollar bill.

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3 years ago
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Assuming x and the number below are measured in degrees find re value of x and find the unknown angle measure in each triangle.
lorasvet [3.4K]

Answer:

x = 16°

4x-7 = 57°

3x+4 = 52°

5x-9 = 71°

Step-by-step explanation:

All angles of any triangle add up to 180°, so if we add up each equation and set it equal to 180 we can find x.

4x-7 + 3x+4 + 5x-9 = 180

Simplify by combining like terms.

12x-12 = 180

Then, do inverse operations to find x.

12x=192

x=16

Now that we found x, we can substitute 16 for x in each angle equation in the triangle.

4(16)-7 = 57

3(16)+4 = 52

5(16)-9 = 71

8 0
2 years ago
What is 4X -3+ 2X plus one minus X +8
garri49 [273]

Answer:

5x + 6

Step-by-step explanation:

4x - 3 + 2x + 1 - x + 8

= 4x + 2x - x -3 + 1 +8

= 5x + 6

5 0
3 years ago
Read 2 more answers
40 POINTS AVAILABLE
vazorg [7]

Answer:

The area of the shaded region is (486\pi-648)\ units^{2}

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the larger circle minus the area of the square plus the area of the smaller circle

Step 1

<em>Find the area of the larger circle</em>

The area of the circle is equal to

A=\pi r^{2}    

we have

r=AB=18\ units

substitute in the formula

A=\pi (18)^{2}=324\pi\ units^{2}

step 2

<em>Find the length of each side of square BCDE</em>

we have that

AB=18\ units

The diagonal DB is  equal to

DB=(2)18=36\ units

Let

x------> the length side of the square BCDE

Applying the Pythagoras Theorem

36^{2}=x^{2} +x^{2}\\ 1,296=2x^{2}\\ 648=x^{2}\\ x=\sqrt{648}\ units

step 3

<em>Find the area of the square BCDE</em>

The area of the square is

A=(\sqrt{648})^{2}=648\ units^{2}

step 4

<em>Find the area of the smaller circle</em>

The area of the circle is equal to

A=\pi r^{2}

we have

r=(\sqrt{648})/2\ units

substitute in the formula

A=\pi ((\sqrt{648})/2)^{2}=162\pi\ units^{2}

step 5

Find the area of the shaded region

324\pi\ units^{2}-648\ units^{2}+162\pi\ units^{2}=(486\pi-648)\ units^{2}

7 0
3 years ago
100 students are interviewed to see which of biology, chemistry or physics they prefer. 29 of the students are girls. 9 of the g
wlad13 [49]

Answer:

42%

first we find the totals of each gender which was indicated that there are 29 girls in total ...making it 71 boys there to make100 students .

then it is shown that 9 girls like biology and boys ...anon

20 boys prefer physics and out of the 29 students who like chemistry ..18 are boys which now gives us 38 boys out of 71 .

to get the boys who like biology u subtract 38 from their total which is 71 to get 33.

33 + 9 = 42

42/100 = 42%

5 0
3 years ago
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