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Dafna11 [192]
3 years ago
15

An employment agency specializing in temporary construction help pays heavy equipment operators

Mathematics
2 answers:
bogdanovich [222]3 years ago
6 0
The answer is:
 Number of heavy equipment operators = 22
 Number of general laborers = 11
 The question can be solved by proposing a system of equations, where:
 Ep= number of heavy equipment operators.
 Tg= number of general labored.
 We have two equations, the first is the cost of hiring heavy equipment operators and general workers.
 
 135Ep+89Tg=3949.
 
 
  The second is the number of operators of heavy equipment and general workers that will be contracted. The total is 33.

 Ep+Tg=33.

 Solving the system of equations we have the answer is:

 Ep=22.
 Tg=11.
pochemuha3 years ago
4 0
Answer:
Number of heavy equipment operators hired were 22
Number of general laborers hired were 11

Explanation:
Assume that number of heavy equipment operators hired is x and that number of general laborers is y.

We are given that:
1- Total number of hired people is 33. This means that:
x + y = 33
This can be rewritten as:
x = 33 - y ...........> equation I
2- heavy equipment operators are paid $135, general laborers are paid $89 and that the total payment was $3949. This means that:
135x + 89y = 3949 ............> equation II

Substitute with equation I in equation II and solve for y as follows:
135x + 89y = 3949
135(33-y) + 89y = 3949
4455 - 135y + 89y = 3949
506 = 46y
y = 506 / 46
y = 11

Substitute with y in equation I to get the value of x as follows:
x = 33 - y
x = 33 - 11
x = 22

Hope this helps :)
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Answer:

a) P = 0.274925

b) required confidence interval = (0.2705589, 0.2793344)

c) FALSE

d) FALSE

e) TRUE

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Step-by-step explanation:

a)

PROBABILITY

since total number of simulations is 40,000 and and number of times Donald Trump wins an Electoral College majority in the 2020 US Presidential Election is  10,997

so the required Probability will be 10,997 divided by 40,000

P = 10997 / 40000 = 0.274925

b)

To get 95% confidence interval for the parameter in question a

(using R)

>prop.test(10997,40000)

OUTPUT

1 - Sample proportion test with continuity correction

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0.2705589  0.2793344

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p

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c)

FALSE

This is a wrong interpretation of a confidence interval. It indicates that there is 95% chance that the confidence interval you calculated contains the true proportion. This is because when you perform several times, 95% of those intervals would contain the true proportion but as the confidence intervals will vary so you can't say that the true proportion is in any interval with 95% probability.

d)

FALSE

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e)

TRUE

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f)

The simulation results obtained doesn't always comply with the true population. Also, result of one simulation can't be taken for granted. We need several simulations to come to a conclusion. So, we can never ever guarantee based on a simulation result to say that Donald Trump 'Won't' or 'Shouldn't' win.

There is still probability that he would win. And it would be highly unusual if he wins assuming that the true population proportion is 0.274925.

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Answer:

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__________________________________________________________

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