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My name is Ann [436]
2 years ago
9

Based on her results, what is the probability that two students were randomly picked and the first one chose romance and the sec

ond one chose action?
1/27

4/7

18/28

1/14

Mathematics
1 answer:
Alexxx [7]2 years ago
6 0
18/28

Probability of romance and action = 18 (add the two probabilities together)

Add all probabilities together which equals 28

18/28 is your answer
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On a citrus farm, the average annual yield of oranges is 124 pounds per tree when the number of trees is 22 per acre. For each a
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Answer:

Number of orange trees = 3528

Step-by-step explanation:

Given: Average annual orange yield = 124 pounds (lbs) per tree

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Each tree produces 124 pounds, so 22 trees will produce

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For every additional tree over 22, 2 pounds per tree is lost.

So, if you add x trees, you lose 2x pounds.

Thus, we have the function:

f(x) = (124 - 2x)*(22 + x) for the added tree(s)

f(x) = 2728 + 80x - 2x^{2}

For quadratic equations like this, the maximum(or minimum) is obtained by substituting x= -b/2a into the given equation. a and b are obtained from the general form of a quadratic equation:

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Comparing this with f(x), we have that

a = -2 (coefficient of x2)

b = 80 (coefficient of x)

Using these values in x = -b/2a, we get

x = -\frac{80}{2*(-2)} = 20

So, use x = 20 in the maximum function we got earlier

f(x) = 2728 + 80(20) -2(20^{2}) = 2728 + 1600 - 800\\ \\f(x) = 3528

Therefore, the number of oranges that should be planted in order to maximize the number of pounds of oranges per acre = 3528

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