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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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The gross annual salary earned by a civil servant is $54240. Find his net monthly salary if deductions of $1475 are made per mon
fomenos

Answer:

$ 52, 470

Step-by-step explanation:

There are 12 months in a year so to find out how the net monthly salary would be you would do

54, 240 - 1475(12) = 52, 470

8 0
2 years ago
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 8. If there were 6
Nookie1986 [14]

Answer:

The total number of voters = 10725

Step-by-step explanation:

The total number of votes cast was 5 + 8

The no votes ratio is 8/ 13

This question is a a proportion question.

A proportion question is 2 ratios equal to other. Three of the parts of the ratios are known and you are asked to find the fourth. In this question the no votes are known to be 8 and the total is 13.

The total no votes = 6600. So the three parts are known are

  • no vote ratio = 8
  • No vote number =6600
  • total vote ratio part = 13
  • You are asked to find the total number of voters.

8/13 = 6600/x               Cross multiply

8x = 13*6600                Combine the right.

8x = 85800                   Divide by 8

8x/8 = 85800/8            

x = 10725

The total number of voters = 10725

6 0
2 years ago
Find the line of symmetry equation for the function f(x )=x −2x −3.
andriy [413]

Answer:

x = 1

Step-by-step explanation:

The line of symmetry is defined as the x value of the vertex of a parabola.

To find the vertex of a parabola, we need to convert to vertex form.

Vertex form looks like this:

y=a(x-h)^2+k, where -h is the x value of the vertex and k is the y value of the vertex.

H is also defined as \frac{-b}{2a} where a is the coefficient of x squared and b is the coefficient of the x term.

The coefficient of the x squared term is 1 and the coefficient of b is -2.

Plugging in, we get \frac{-(-2)}{2(1)}, which is equal to 1. This can then be plugged into the equation as

y=1(x-1)^2+k, but k doesn't matter because all we need is the x-term. Now, our x-term is negative h, which is negative negative one, which is positive one. Therefore, our answer is x = 1.

6 0
3 years ago
Read 2 more answers
The table below represents the closing prices of stock ABC for the last five
Ilia_Sergeevich [38]

Answer:

b

Step-by-step explanation:

just trust me

7 0
3 years ago
5 cakes cost £4 how much do 7 cakes cost
Nostrana [21]

You can solve this using proportion.

5 = 4

7 = ?

7(4)/5= 5.6

7 cakes cost £5.6

4 0
3 years ago
Read 2 more answers
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