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Verizon [17]
1 year 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]1 year 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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Margarita [4]

<u>Complete Question: </u>

The table (in figure) represents the recommended exercise intensity for the aerobic program based on the number of visits since the beginning program recommends a consistent intensity for three visits increase in intensity over three visits then decreasing intensity for three visits before restoring the pattern which set of values could be the intensity of embers exercise during the fourth fifth and six visits check all that apply

A.63%,63%,63%

B.66%,69%,72%

C.66%,62%,58%

D67%,67%,67%

E.63%,65%,67%

F.67%,72%,77%

<u>Answer: </u>

<u>The following set of values could be the intensity of embers exercise during the fourth fifth and six visits :</u>

  • 66%, 69%, 72%
  • 63%, 65%, 67%
  • 67%, 72%, 77%

<u> Step-by-step explanation:</u>

Given that intensity for first three visits on Amber's exercise in consistent way at the program beginning. Then it increases for 3 visits and decreases over 3 visits. In question, they asked us to find the intensity of Amber’s exercise for fourth, fifth and sixth alone.

As per given statement, first three visits are consistent in intensity (constant for visit 1, 2, 3).Then increases in intensity of Amber’s exercise for visits 4, 5, 6 (suits option B, E, F). Then it gets decreased for further visits (7, 8, 9).

5 0
2 years ago
Read 2 more answers
PLEEEEEEEEEEASE HELP ASAP
Paraphin [41]

The answer is D. $431.04.

A semi-circle, is half a circle. You need to get the area of the semi-circle to get the price for the whole thing. Since the door is 34 inches, we can assume that the diameter of the window would be 34 inches.

Okay, since the area of the circle is: πr², we just need to divide the equation by 2. So you will have the equation:

A =\dfrac{\pi(r^{2})}{2}

Where:

π=3.14

r = radius

All we have is the diameter, and what we need is the radius. The radius is half of the diameter, so we divide the measurement of the diameter by two.

r=\dfrac{d}{2}\\\\ r=\dfrac{34in}{2}\\\\ r=17in

So now that we have the radius, let's put that into our area equation:

A=\dfrac{\pi(r^{2})}{2}\\ \\ A=\dfrac{(3.14)(17in^{2})}{2}\\ \\ 453.73in^{2}

The area of the semi-circle window is 453.73in².

Now let's get how much that would cost by multiplying the area by the price per square inch.

(453.73in^{2})(\dfrac{\$0.95}{in^{2}}) = \$431.04

The semi-circle would cost $431.04.

5 0
2 years ago
In △WXY , WX=14.1 inches, WY=7.8 inches, and m∠W=52∘ .
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Answer:

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Step-by-step explanation:

Given two sides <em>a</em> and <em>b</em> and the angle α between them, the area of the triangle can be computed as ...

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Putting the given values into the formula gives ...

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The area of the triangle is about 43.3 square inches.

8 0
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A survey of eating habits showed that approximately
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Answer a just of food


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7 0
1 year ago
Matt and Jim, working together, can weed the garden in 10 hours. Working alone, Jim takes five times as long as Matt. How long d
Harlamova29_29 [7]

Answer:

10x5=50 Hours!

Step-by-step explanation:

All you just got to do is <u>10x5</u> DUH Easy!

6 0
2 years ago
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