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V125BC [204]
3 years ago
11

Suppose you can replace one number cube with a nonstandard number cube, where any of the numbers 1 through 6 can appear on multi

ple faces. How can you arrange the numbers on the nonstandard cube so that the mean of the rolls is the same as that of two standard number cubes, but the standard deviation is as large as possible? What is this value? Explain your thinking
Mathematics
1 answer:
vagabundo [1.1K]3 years ago
8 0

Answer:

Replace 5 and 4 with 6s. Replace 2 and 3 with 1s. Then there will be 3 faces with 6 and 3 faces with 1.

Step-by-step explanation:

In order for the mean to remain unchanged, the sum of opposite faces must remain the same: 7. In order to have the standard deviation as large as possible, the largest and smallest possible numbers need to be used: 6 and 1.

Replacing 4 and 5 with 6s, and replacing 2 and 3 with 1s will accomplish your goal.

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3 years ago
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a water tank holds 24,000 gallons. how many hours will it take for 2/3 of the water to be used if the water is used at an averag
Likurg_2 [28]
In the question, it is already mentioned that the water tank holds = 24,000 gallons
In the given question it is also mentioned that the need is to find the time required to use 2/3 of the total water that the tank holds.
So the need is to find the amount of water that equals 2/3 of the total water in the tank.
Then
Quantity of water that needed to be used = [24000 * (2/3)] gallons
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In the problem it is also mentioned that the average rate of consumption per day is 650 gallons.
So
650 gallons of water used in = 24 hours
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So the time required to consume 2/3 of the total water in the tank is 590.77 hours.
8 0
4 years ago
X+y+z=2<br> X+2y-z=5<br> 3x-y+z=14
Rzqust [24]
I think it is 1.3 but I’m not sure on it
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4 years ago
Solve for n. Please explain if you can
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n=5

Create equivalent expression in the equation that all have equal bases, then solve n
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What is the value of x in the equation below? Round to the nearest hundredths place.
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Answer:

3.17

Step-by-step explanation:

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3 years ago
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