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stiv31 [10]
3 years ago
10

​a) Define your random​ variables, and use them to express the​ farmer's net income. A. Apounds of apples​ sold, ​, B. Aprice pe

r pound of​ apples, ​, C. Apounds of apples​ sold, ​, D. Aprice per pound of​ apples, ​, ​b) Find the mean. The mean profit is 62 dollars. ​c) Find the standard deviation of the net income. The standard deviation is nothing dollars. ​(Round to two decimal places as​ needed.) ​d) Do you need to make any assumptions in calculating the​ mean? A. ​Yes; the prices must be independent. B. ​Yes; the variables must be discrete. C. ​Yes; the prices must be dependent. D. ​No; no assumptions are made in calculating the mean. Do you need to make any assumptions in calculating the standard​ deviation? A. ​Yes; the prices must be independent. B. ​Yes; the prices must be dependent. C. ​Yes; the variables must be discrete. D. ​No; no assumptions are made in calculating the standard deviation. Click to select your answer(s).
Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
6 0

Answer:

Please find the complete question in the attached file:

Step-by-step explanation:

For point a:

When X was its random variable of apples, Y the randomized variables of potatoes, then

\to 100\ X + 50\ Y - 2

Your gross profit is represented.

For point b:

The expected value varies as per the random variables:

\to \mu=100 \mu_{X}+50 \mu_{Y}-2=100(0.5)+50(0.3)-2=\$ 63

For point c:

Its variance varies to the square of coefficient (without constants) as well as the standard variance is dependent upon on square root:

\sigma=\sqrt{100^2\sigma_{X}^2 +50^2 \sigma_{Y}^2}\=\sqrt{10,000(0.2^2) + 2500(0.1^2)} \approx \$20.62

For point d:

Yes, because prices are dependent on the apple as well as the prices of potatoes.

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Answer:

C, both methods save the same amount of money

Step-by-step explanation:

First, we need to calculate what each answer choice will equal.

For A, it asks us to add the sales tax and then take the discount off. So, to find out what the sales tax is equal to, we multiply 720 x 0.06 (because 6% is equal to 0.06).

720 x 0.06 = 43.2

Add the sales tax to the original amount and you get 763.2.

Now we take the discount, which is 25% or 1/4.

1/4 of 763.2 is 190.8.

Subtract the discount from the price and you get 572.4.

For B, it says to take the discount first and then add the sales tax.

25% = 1/4, so 1/4 of 720 is equal to 180.

Subtract 180 from 720, and you get 540.

Now add the sales tax.

540 x 0.06 = 32.4.

540 + 32.4 = 572.4.

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Answer:

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Step-by-step explanation:

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From the question, we can identify that the value of the apothem is 7.3 inches, while the value of the perimeter is 53 inches

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