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Anettt [7]
3 years ago
11

A consultant for an association of personnel directors wants to find the proportion of clerical personnel that change jobs becau

se they are bored with their work. The consultant queries a random sample of 400 clerical workers who recently changed jobs, 200 of which state that they changed jobs because they were bored. The consultant wishes to prepare a 95% confidence interval for the true proportion changing jobs because of boredom. What is the margin of error for this interval
Mathematics
1 answer:
Vikki [24]3 years ago
5 0

Answer:

the margin of error for this interval is 0.049

Step-by-step explanation:

The computation of the margin of error for this interval is shown below;

Given that

n = 400

x = 200

Now

p = x ÷ n = 200 ÷ 400 = 0.5

Now the margin of error is

= z \times \sqrt{\frac{p(1-p)}{n}} \\\\1.96  \times \sqrt{\frac{0.5 \times 0.5}{400} }

= 0.049

Hence the margin of error for this interval is 0.049

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Plane XTS and Plane VRS

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2 years ago
Venn diagram ( attached image )
alexandr402 [8]

Assessing the given Venn diagram and the data related to it, we can answer the required question:

Q1. How many people were surveyed = 86.

Q2. What is the probability that a customer chosen at random:

a) takes salt P(S) = 46/85.

b) takes both salt and vinegar P(S ∩ V) = 13/85.

c) takes salt or vinegar or both P(S ∪ V) = 66/85.

The number of people who take salt chips n(S) = 46.

The number of people who take vinegar chips n(V) = 33.

The number of people who takes both n(S ∩ V) = 13.

The number of people who take neither n((S ∪ V)') = 19.

Therefore, the total number of people surveyed n(U) = n(S) + n(V) - n(S ∩ V) + n((S ∪ V)') = 46 + 33 - 13 + 19 = 85.

The number of people who takes salt or vinegar or both n(S ∪ V) = n(U) - n((S ∪ V)') = 85 - 19 = 66.

The probability that a customer chosen at random takes salt P(S) = n(S)/n(U) = 46/85.

The probability that a customer chosen at random takes both salt and vinegar P(S ∩ V) = n(S ∩ V)/n(U) = 13/85.

The probability that a customer chosen at random takes salt or vinegar or both P(S ∪ V) = n(S ∪ V)/n(U) = 66/85.

Learn more about Venn Diagrams at

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7 0
1 year ago
Look at this expression.
g100num [7]
Multiply x<span> and </span>3

<span>Multiply x and 1</span>

<span>The x just gets copied along.</span>

<span>The answer is x</span>

x

<span>3*x evaluates to 3x</span>

Because of the minus sign

<span>3x becomes - 3x</span>

<span>The answer is -3x</span>

<span>Multiply y and 2</span>

<span>Multiply y and 1</span>

<span>The y just gets copied along.</span>

<span>The answer is y</span>

y

<span>2*y evaluates to 2y</span>

<span>-3*x-2*y evaluates to -3x-2y</span>

<span>The answer is -3x-2y-2</span>

<span>-3*x-2*y-2 evaluates to <span>-3x-2y-2</span></span>

<span><span>so the first one is right</span></span>

<span><span>
</span></span>

4 0
3 years ago
The price of a cellular telephone plan is based on peak and nonpeak service. Kelsey used 45 peak minutes and 50 nonpeak minutes
Oxana [17]
We can build a system of two linear equations with two unknowns with the info provided in the problem, one with Kelsey info and one with Mitch info like so:
Lets call p the amount on peak minutes and n the amount of non-peak minutes:
45p + 50n = 27.75
70p + 30n = 36
lets reduce the equations dividing the first by 5:
9p + 10n = 5.55
<span>70p + 30n = 36
</span>now, to eliminate n, lets multiply the first equation by -3 and add the two equations:
-27p - 30n = -16.65
<span>70p + 30n = 36
</span>----------------------------
43p + 0 = 19.35
p = 19.35<span>/43
p = 0.45
therefore the peak rate is $0.45 per minute
lets substitute in one of the original equations this result:
</span><span>45p + 50n = 27.75
</span>45(0.45) + 50n = 27.75
20.25 <span>+ 50n = 27.75
50n = 27.75 - 20.25
50n = 7.5
n = 7.5/50
n = 0.15
therefore the non-peak rate per minute is $0.15</span>
5 0
2 years ago
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