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Ymorist [56]
4 years ago
7

For a random sample of 90 overweight men, the mean number of pounds that they were overweight was 35. The standard deviation of

the population was 3.5 pounds. Find the best point estimate of the number of excess pounds that they weighed.
Mathematics
1 answer:
JulijaS [17]4 years ago
6 0

Answer:

35 pounds is the point estimate for the the number of excess pounds that population weighed.                

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 90

Sample mean, \bar{x} = 35 pounds

Population standard deviation, \sigma = 3.5

We have to find the point estimate of the number of excess pounds that population weighed.

The best point estimate is the sample mean.

Thus, we can write,

\bar{x} = \mu = 35

Thus, 35 pounds is the point estimate for the the number of excess pounds that population weighed.

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Answer: (3, 6)

Step-by-step explanation:

1. You have the following function:

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2. To find the point that lies on the graph of the function above, you can substitute the value of <em>x</em> given in the option; if you obtain the value of <em>y</em> shown in that option, then that point lies on the graph. Then, you have:

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3 years ago
Mr. Smith gave a cashier a $50 bills for a purchase of $38.70. The cashier gave him a $10 dollar bill, two $1 bills and three di
Aleksandr-060686 [28]

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Step-by-step explanation:

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3 years ago
Simplify the expression and explain each step.
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Step-by-step explanation:

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3 years ago
His new employer has offered Malcom Davis a choice of profit-sharing plans. For Plan A, he can receive 1/90 of the company’s gro
Strike441 [17]

Malcom Davis earnings is an illustration of equations and proportions.

  • The equation is: \mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}
  • The gross income must be $300000, for Dave to earn the same amount with either plan.
  • His earning is $3333.33 when the plans are the same.

Let the profit be P, and the gross income be G.

So, we have:

\mathbf{P= G - 100000}

<u>(a) The equations</u>

For plan A, we have:

<em />\mathbf{A = \frac{1}{90}G}<em> ----1/90 of the company's gross income</em>

For plan B, we have:

<em />\mathbf{B = \frac{1}{60}P}<em>  ----1/90 of the company's profit</em>

When both are the same, we have:

\mathbf{A= B}

This gives

\mathbf{\frac{1}{90}G= \frac{1}{60}P}

Substitute \mathbf{P= G - 100000}

\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}

Hence, the equation is: \mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}

<u>(b) Solve the equation in (a), and intepret</u>

\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}

Cross multiply

\mathbf{60G = 90G - 9000 000}

Collect like terms

\mathbf{90G - 60G = 9000 000}

\mathbf{30G = 9000 000}

Divide both sides by 30

\mathbf{G = 3000 00}

The gross income must be $300000, for Dave to earn the same amount with either plan.

<u>(c) His earnings based on (c)</u>

We have:

\mathbf{A = \frac{1}{90}G}

Substitute \mathbf{G = 3000 00}

\mathbf{A = \frac{1}{90} \times 300000}

\mathbf{A = 3333.33}

His earning is $3333.33 when the plans are the same

<u>(d) If the gross income in less than (b)</u>

If the gross income is <em>less than $300,000</em>, then plan A would better for Malcom Davis, because his earnings in plan A would be <em>greater than </em>plan B

Read more about equations at:

brainly.com/question/20893366

8 0
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