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Mrrafil [7]
2 years ago
7

A company has offices in 3 different cities and a rotal of 480 workers there are 90 workers in newyork and 130 workers in denver

the rest of the workers are in san diego
Mathematics
1 answer:
liraira [26]2 years ago
5 0

Answer:

Workers in San Diego = 260 workers

Step-by-step explanation:

Total workers = 480

Number of offices = 3

In each office in different cities

New york = 90 workers

Denver = 130 workers

San Diego = x workers

Find x

Total number of workers = workers in New York + workers in Denver + workers in San Diego

480 = 90 + 130 + x

480 = 220 + x

480 - 220 = x

260 = x

x = 260 workers

Workers in San Diego = 260 workers

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Answer:

A sample of 499 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is given by:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In this question, we have that:

\pi = 0.21

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

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We need a sample of n, which is found when M = 0.03. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.645\sqrt{\frac{0.21*0.79}{n}}

0.03\sqrt{n} = 1.645\sqrt{0.21*0.79}

\sqrt{n} = \frac{1.645\sqrt{0.21*0.79}}{0.03}

(\sqrt{n})^2 = (\frac{1.645\sqrt{0.21*0.79}}{0.03})^2

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A sample of 499 is needed.

8 0
2 years ago
Give the answer of this question by using prime factorization in exponential form 486×768​
icang [17]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

It is important to remember that when we solve the system of equations, the first step we need to do is to solve one of the equations for one of the variables.

Given the system of equations

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<u>NOW LET US SOLVE THE REMAINING PORTION</u>

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