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2 years ago

362x = 63x - 7 solving exponential equations

Mathematics

1 answer:

Mice21 [21]2 years ago

7 0

Answer:

-7/299

Step-by-step explanation:

362x-63x = -7

299 = -7

x = -7/299

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In order to select ne board members the french club heald a election 3 members voted in the election. And 7 did not vote what pe

igor_vitrenko [27]

Answer:

30% members have voted.

Step-by-step explanation:

Given:

Number of members voted = 3

Number of members didn't vote = 7

We need to find what percentage of people voted.

Solution:

First we will find the total number of members in the election.

Now we can say that;

The total number of members in the election is equal to sum of Number of members voted and Number of members didn't vote.

framing in equation form we get;

The total number of members in the election = $7+3=10$

Now we will find the percentage of people voted.

So we can say that;

Percentage of members voted can be calculated by dividing Number of members voted from The total number of members in the election and then multiplying by 100 we get;

Percentage of members voted = $\frac{3}{10}\times100 = 30\%$

Hence 30% members have voted.

8 0

2 years ago

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.

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Triangle A’B’C is the image ABC under a translation.

grigory [225]

A translation by 3 units to the right.

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xeze [42]

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xeze [42]

Answer:

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Step-by-step explanation:

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