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vovangra [49]
3 years ago
12

In a box there are two prizes that are worth $4, a single prize worth $20, and a single prize worth $200. A player will reach in

to the box and draw one of the prizes at random. What is the fair price for this game? Round your answer to the nearest hundredth, and do not include a $ sign or the word "dollars" in your response.
Mathematics
1 answer:
Ronch [10]3 years ago
6 0

Answer:

57

Step-by-step explanation:

The player has a 1/4 chance of drawing any of the 4 prizes. This means that the probability of drawing a prize of $4 is 1/2 because there are 2 prizes worth of $4. The probability of drawing a prize of $20 is 1/4 and the probability of drawing a prize of $200 is also 1/4. To find the fair price of the game, we have to calculate the expected value that the player will gain. This can be obtained by multiplying any possible value of a price for the probability of drawing a prize of that value and adding all the obtained values togueter. Thus, the fair price of the game is

4 * \frac{1}{2} + 20 * \frac{1}{4} + 200 * \frac{1}{4} = 57

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321

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If a and b are real numbers, what property of real numbers is illustrated by the equation below? 4a + 4b = 4(a + b)
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D. Distributed Property of Multiplication over Addition. Happy Thanksgiving. Hope this helps.

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Find the approximate area of a circle that has a diameter of 11 inches. Round your answer to the nearest hundredth
OLga [1]

Answer:

95.03in.^2

Step-by-step explanation:

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2 years ago
Find the volume of the cereal box. Use the formula V=Bh.
Gwar [14]

Answer:

V=BH

2x7.5x13=195in

Step-by-step explanation:

To find the volume of a box of cereal (also known as a rectangular prism) just multiply the area of the base (length times width) by the height. The formula is V = l · w · h. To find the volume of a box of cereal (also known as a rectangular prism) just multiply the area of the base (length times width) by the height.

7 0
3 years ago
When 5655 is divided by a positive two digit intreger "N" the remainder is 11, when 5879 is divided by the same intreger N the r
Temka [501]

Answer:

8

Step-by-step explanation:

Hi,

When we divide 5655 by N, we get remainder of 11, which means that 5655-11 is a multiple of N.

5655 - 11 = 5644 is a multiple of N.

Similarly, 5879-14 should be a multiple of N.

5879 - 14 = 5865 is a multiple of N.

Because 5644 and 5865 are both multiples of N, their difference must be a multiple of N.

5865 − 5644 = 221 then 221 is a multiple of N.

We have three number of which N can be a multiple of, however we choose to factorize the smallest possible number amongst these three, which is 221. (This is only for simplification of the solution, smaller the number, less the factors)

221 : 1, 13, 17, 221.

There are only two two - digit factors: 13 and 17.

We divide 5865 and 5644 by both numbers.

\frac{5865}{13} = 451.15 \\\frac{5865}{17} = 345 \\\frac{5644}{13} = 434.15 \\\frac{5644}{17} = 332\\

Looking at these results, we know only 17 divides all three numbers.

Hence N=17.

The sum of both digits will be: 1 + 7 = 8

8 0
3 years ago
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