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ZanzabumX [31]
3 years ago
10

A large company claims that the average age of their employees is 32 years, with a standard deviation of 4 years. The average ag

e of employees in the sales department at the company is 27 years. Given that the data is approximately normal, find the probability that an employee, chosen at random, will be younger than 27 years.
A.
89.44%
B.
10.56%
C.
23.58%
D.
76.42%
Mathematics
2 answers:
Serga [27]3 years ago
6 0

Answer:

A. 10.57%

Step-by-step explanation:

Just took the test dawg

4vir4ik [10]3 years ago
3 0

Given that average age of employees of a large company is Normal

X - average age of employees

X:N(32,4)

The average age of employees in sales dept is 27 years.

Prob that an employee, chosen at random, will be younger than 27 years.

= P(X<27)

Let us convert x into Z

Z = (x-32)/4 = -5/4 = -1.25

Reqd prob = P(Z<-1.25) =0.5-0.3925

= 0.1075

Hence 10.56% is the correct answer.

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worty [1.4K]

Answer:

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Step-by-step explanation:

* Lets find the vertex of the parabola

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∵ The equation is y = x² + 14x + 45

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∵ h = -b/2a

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∴ The y-coordinate of the vertex point is -4

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- Plot the point on the graph and then find two points before it and

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∵ x = -9

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- Plot the point (-9 , 0)

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- Plot the point (-8 , -3)

∵ x = -6

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- Plot the point (-5 , 0)

* To solve the equation x² + 14x + 45 = 0 means find the value of

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∴ The solutions of the equation are x = -9 and x = -5

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5 0
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Answer:

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For percentages, you take the number you have and divide by the total. Since we know that there are 15 students, we can do 9 / 15. This gives us 0.6 which is 60%

3 0
2 years ago
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