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Verizon [17]
2 years ago
7

At a carnival, an individual can win a prize by choosing a rubber duck from a pond with "Win" written on the underside of the du

ck. There are a total of eight ducks with "Win" written on the underside of the duck, and there are 17 ducks with "Lose" written on the underside of the duck. After each pick, if a prize is won, the duck is replaced in the pond. If a prize is not won, then the duck is again placed back into the pond. If an individual makes four picks, what is the probability the individual will win a prize exactly one time?
Mathematics
1 answer:
boyakko [2]2 years ago
3 0

Step-by-step explanation:

The probability of success = 8/(8 + 17) = 8/25 = 0.32.

Let X be the random variable denoting the number of successes (number of times the individual won a prize) in four picks.

Hence, X ~ Bin(4, 0.32).

Thus, P(X = 1) = 4C_1=(0.32)(1-0.68)^{4-1}=4C_1(0.32)(0.68)^3

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We take CD as the hypotenuse of the right-angled triangle and the distance between the x-coordinates and y-coordinates as the length of two short sides.

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7 0
2 years ago
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Gigi earned $65 for 5 hours of gardening. She earned $90 for 9 hours of office work. Which statement correctly compares Gigi’s e
SIZIF [17.4K]

Hello There!

<u><em>First we have to see how much does Gigi earns per hour.</em></u>

<u><em>For gardening, we are going to divide.</em></u>

<u><em></em></u>

<u><em>65 ÷ 5 ≈ 13</em></u>

<u><em></em></u>

<u><em>Gigi earns $13 for gardening for only 1 hour.</em></u>

<u><em></em></u>

<u><em>Second, we have to see how much Gigi earns per hour for office work.</em></u>

<u><em>We will divide </em></u>

<u><em></em></u>

<u><em>90 ÷ 9 ≈ 10</em></u>

<u><em></em></u>

<u><em>Now, we can see that Gigi earned $3 more per hour for gardening than for office work.</em></u>

<u><em></em></u>

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A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter months. When spring arrives, the
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A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter months.

When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate.

S(t) denote the ice sheet's thickness S ( measured in meters) as a function of time (measured in weeks).

Therefore the equation formed will be linear.

The equation will be of the form y = mx + b

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