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Alexeev081 [22]
3 years ago
13

Mrs. Kelly creates a garden. She buys 15 flowers and 3 bushes for a total cost of $160.32. Each bush costs $11.50 more than each

flower. How much does each bush cost?
Mathematics
1 answer:
Brut [27]3 years ago
8 0

The cost of each bush is $ 18.49

<h3><u>Solution:</u></h3>

Let "f" be the cost of each flower

Let "b" be the cost of each bush

<em><u>Given that Mrs. Kelly buys 15 flowers and 3 bushes for a total cost of $160.32</u></em>

15 flowers x cost of each flower + 3 bushes x cost of each bush = 160.32

15 \times f + 3 \times b = 160.32

15f + 3b = 160.32  ----- eqn 1

<em><u>Each bush costs $11.50 more than each flower</u></em>

Cost of each bush = 11.50 + cost of each flower

b = 11.50 + f  ------ eqn 2

<u><em>Let us solve eqn 1 and eqn 2 to find values of "b" and "f"</em></u>

Substitute eqn 2 in eqn 1

15f + 3(11.50 + f) = 160.32

15f + 34.5 + 3f = 160.32

18f = 160.32 - 34.5

18f = 125.82

<h3>f = 6.99</h3>

Substitute f = 6.99 in eqn 2

b = 11.50 + 6.99 = 18.49

<h3>b = 18.49</h3>

Thus the cost of each bush is $ 18.49

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Answer:

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The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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This means that p = 0.16

Part A: What is the probability that the next home run will be on his fifth at-bat?

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P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

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Part B: What is the expected number of at-bats until the next home run?

The expected number of trials for n successes is given by:

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In this question, n = 1, p = 0.16. So

E = \frac{1}{0.16} = 6.25

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