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hichkok12 [17]
3 years ago
10

A large manufacturing firm tests job applicants who recently graduated from college. The test scores are normally distributed wi

th a mean of 500 and a standard deviation of 50. Management is considering placing a new hire in an upper level management position if the person scores in the upper 6 percent of the distribution. What is the lowest score a college graduate must earn to qualify for a responsible position?
A. 50

B. 625

C. 460

D. 578
Mathematics
1 answer:
anzhelika [568]3 years ago
8 0

Answer:

lowest score a college graduate must earn to qualify for a responsible position is 578

correct option is D. 578

Step-by-step explanation:

given data

mean = 500

standard deviation = 50

distribution = 6 %

to find out

What is the lowest score a college graduate must earn to qualify for a responsible position

solution

we know that here Probability P that is express as

P ( Z > x ) = 100% - 6%      .....................1

so with the help of normal table

here value of Z is =  1.55 from cumulative probability 0.94

so by z score formula here x will be

x = z × standard deviation +  mean    ................2

so put here value

x = 1.55 × 50 + 500

x = 577.7387 ~ 578

so lowest score a college graduate must earn to qualify for a responsible position is 578

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Answer:

If the question is which is closest to 8, the answer is 61

Step-by-step explanation:

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2 years ago
Please help, I need to get this done!<br>I need to get number 16, 17, and 18 done please help!!!!​
Tresset [83]

Answer:

16) 62.8 m²

17) 19.4 m²

18) 103.5 m²

Step-by-step explanation:

The formula to find area of a circle is: \pi r^{2}. To find radius, find the half of the diameter.

To solve number 16, first find the area of the unshaded circle using the formula: \pi 4^{2}. This is also 3.14*16. Multiply to get 50.24 m². Now find the area of the larger circle using the formula: \pi 6^{2}. This is also 3.14*36. Multiply to get 113.04 m². Now subtract 113.04 - 50.24 to get the shaded area or 62.8 m².

To solve number 17, first find the area of the square using the formula: side x side. In this case multiply: 5.25 x 5.25 to get 27.5625. Round to the nearest tenth to get 27.6 m². Now find the area of the circle using the formula: \pi 2.625^{2}. This is also 3.14*2.625. Multiply to get 8.2425. Round to the nearest tenth to get 8.2. Subtract 27.6 - 8.2 to get 19.4 m².

To solve number 18, find the area of one unshaded circle using the formula: \pi 1.75^{2}. This is also 3.14*3.0625. Multiply to get 9.61625. Round to the nearest tenth to get 9.6 m². Add 9.6 + 9.6 to find the area of both unshaded circles. You get 19.2 m². Now find the area of the shaded circle using the formula: \pi 6.25^{2}. This is also 3.14*39.0625. Multiply to get 122.65625. Round to the nearest tenth: 122.7. Subtract 122.7 - 19.2 to get 103.5 m².

Hope it helps and is correct!

5 0
3 years ago
The perimeter of a rectangular skating rink is 530 feet. If the length is 5 feet more than 3 times the
vladimir2022 [97]

Answer:

length:  200

width:  65

Step-by-step explanation:

length:  3w + 5

width:  w

perimeter = 2L + 2W

530 = 2(3w + 5) + 2w

530 = 6w + 10 + 2w

530 = 8w + 10

520 = 8w

w = 65

length:  3w + 5 = 3(65) + 5 = 200

width:  w = 65

8 0
3 years ago
-3(2x^2+ax+b)=-6x+12x-15 what is the value of a and b
bonufazy [111]
B= -2x+5-2x^2-ax
A= -2x+5-2x^2-b/x 
x=0

5 0
3 years ago
A shirt originally cost $39.38, but it is on sale for $31.50. What is the percentage decrease of the price of the shirt? If nece
seraphim [82]

Answer:

20%

Step-by-step explanation:

1. subtract the new price from the original price

39.38-31.50=7.88

2. divide the difference by the original number

7.88 ÷ 39.38=.2001

3. multiply this number by 100

(.2001)100=20%

5 0
3 years ago
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