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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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5 0
3 years ago
Does anyone understand how to do this
Lerok [7]

Answer:

Step-by-step explanation:

I understand it!  (But I'm a high school math teacher so it might be unfair!) ; )

Anyway you have 2 numbers.  You don't know what they are so we will call them x and y.  Our first statement says that these numbers multiply to equal 120.  So that first equation is

xy = 120

Our second statement says that they add to -22.  So that second equation is

x + y = -22

Now we need to find the 2 numbers.  We have 2 unknowns, x and y.  That means that we have to have 2 equations.  No more than 2 no less than 2.  Solve the first equation for y.  It doesn't matter which equation you pick and which variable you choose to solve for.  If you do the work correctly, you will get the correct answers either way.  Solving the first equation for y gives you:

y=\frac{120}{x}

Now tht we have a value for y, we can use the substitution property of equality to sub that value into the second equation for y:

x+\frac{120}{x}=-22

Instead of finding a common denominator, we are going to eliminate x in the denominator altogether.  Do this by multiplying everything by x to get

x^2+120=-22x

Get everything on one side of the equals sign and factor:

x^2+22x+120=0

Because 12 * 10 = 120 and 12 + 10 = 22, our factors are 12 and 10:

x^2+12x+10x+120=0

Use factoring by grouping now.  

(x^2+12x)+(10x+120)=0

From the first set of parenthesis you can factor out an x, and from the second set you can factor out a 10:

x(x + 12) + 10(x + 12) = 0

Now factor out the common x + 12 to get a factored quadratic:

(x + 12)(x + 10) = 0

By the Zero Product Property, either x + 12 = 0 or x + 10 = 0.  Solving both for x gives you x = -12 or x = -10.

If x = -12, then

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y = -10

If x = -10, then

-10 + y = -22 so

y = -12.

The combinations of x and y are:

If x = -12, y = 10

If x = -10, y = -12

It doesn't matter which one is which.  They are not asking you to specifically define x and y.  They are asking you to find the numbers, and you did!

6 0
3 years ago
In the figure, the slope of mid-segment DE is -0.4. The slope of segment AC is . NextReset
Ksivusya [100]
The answer is:  0.4


 Hope this helps
5 0
3 years ago
Read 2 more answers
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Aliun [14]

Explanation:

x + 3y = 2

<u>Converting it to slope intercept form</u>:

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<u>Make y the subject</u>:

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\sf \rightarrow 3y = -x + 2

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\sf \rightarrow y = -\dfrac{1}{3} x+ \dfrac{2}{3}

<u>which reveals slope</u>:

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Answer:

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Step-by-step explanation:

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