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Ne4ueva
5 days ago
7

Bouquets are to be made using white tulips and red tulips, and the ratio of the number of white tulips to the number of red tuli

ps is to be the same in each bouquet. If there are 15 white tulips and 85 red tulips available for the bouquets, what is the greatest number of bouquets that can be made using all the tulips available?A. 3B. 5C. 8D. 10E. 13
Mathematics
1 answer:
Zina [12.3K]5 days ago
4 0
B. 5 Step-by-step explanation: The greatest common factor of 85 and 15 is 5, leading to a ratio of red to white tulips of 17:3. Red tulip ratio becomes 85/5 = 17, while white tulip ratio turns out to be 15/5 = 3.
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Answer:

(A)

P(X \geq 0.8) = \int\limits_{0.8}^{\infty} f(x) \, dx = \int\limits_{0.8}^{1} 1.25(1-x^4) \, dx = 0.08192

(B)

Thus, the cumulative function can be expressed as

CF(x) = 1.25x - 0.25x^5       when   0<x<1

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Step-by-step explanation:

(A)

We want to determine the likelihood that the random variable X exceeds 0.8.

P(X \geq 0.8) = \int\limits_{0.8}^{\infty} f(x) \, dx = \int\limits_{0.8}^{1} 1.25(1-x^4) \, dx = 0.08192

(B)

For any  x, you're seeking the probability P(X \geq x)  which can be expressed as

P(X \geq x) = \int\limits_{-\infty}^{x} 1.25(1-t^4) dt = \int\limits_{0}^{x} 1.25(1-t^4) dt = 1.25x - 0.25x^2

The cumulative function will therefore be

CF(x) = 1.25x - 0.25x^5       when   0<x<1

0 otherwise.

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