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otez555 [7]
2 years ago
5

If x is taken away from the sum of 5x and 10 we get 90. Find x

Mathematics
1 answer:
Elden [556K]2 years ago
6 0

Answer:

20

Step-by-step explanation:

5x+10 - x = 90\\

4x + 10 = 90

4x = 80

x = 20

\therefore the value of x is 20.

Hope this helps :)

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The following probability distributions of job satisfaction scores for a sample of information systems (IS) senior executives an
Mashcka [7]

Answer:

Step-by-step explanation:

To calculate ;

1) the expected value of the job satisfaction score for senior executives ;

expected value = Summation (Px)

= 1 x 0.05 + 2 x 0.09 + 3 x 0.03 + 4 x 0.42 + 5 x 0.41

= 4.05

2) the expected value of the job satisfaction score for middle managers;

= 1 x 0.04 + 2 x 0.10 + 3 x 0.12 + 4 x 0.46 + 5 x 0.28

= 3.84

c) the variance of job satisfaction scores for executives and middle managers (to 2 decimals).

Executives ; Variance = Summation(PX^2 - Summation(PX)^2

i) For Executive Managers = 1 x 0.05 + 2^2 x 0.09 + 3^2 x 0.03 + 4^2 x 0.42 + 5^2 x 0.41 - 4.05^2 = 1.246 = 1.25

ii) for middle managers ; 1 x 0.04 + 2^2 x 0.10 + 3^2 x 0.12 + 4^2 x 0.46 + 5^2 x 0.28 - 3.84^2 = 1.134 = 1.13

d) the standard deviation of job satisfaction scores for both probability distributions (to 2 decimals). Executives, Middle managers;

For Executives = square root [ 1 x 0.05 + 2^2 x 0.09 + 3^2 x 0.03 + 4^2 x 0.42 + 5^2 x 0.41 - 4.05^2] = 1.12

For Middle Managers ; Square root [1 x 0.04 + 2^2 x 0.10 + 3^2 x 0.12 + 4^2 x 0.46 + 5^2 x 0.28 - 3.84^2 ] = 1.06

e) from the values gotten for the variance of both executive and middle managers, the variance of the former is more than that of the latter as such higher satisfaction with the executive managers.

5 0
3 years ago
500 in the ratio 2:3
irina1246 [14]
500 in 2:3 is saying that there are five different parts (2 + 3)
This means that 500 needs to be split into five, which is 100.
After that all you need to do is put 2 'sections' on one side and 3 on the other.

For example, 2 : 3 = 2( x 100) : 3( x 100)
                                = 200 : 300
8 0
3 years ago
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Express 4x^-4<br> with a positive exponent.
Mumz [18]

Answer:

4x^-4

4(x^-2)²

4x^4

Step-by-step explanation:

sorry I am not clear about question.

6 0
3 years ago
7. Two rectangles were used to form the following figure. The dimensions of both rectangles have been provided to the nearest ha
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Answer:

b

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