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anzhelika [568]
2 years ago
13

In a game the player wins if he rolls a 6 on a number cube. If the number cube is rolled 18 times, then what is a reasonable pre

diction for the number of unsuccessful rolls? Show work
Mathematics
1 answer:
SVETLANKA909090 [29]2 years ago
8 0

If the number cube is rolled 18 times, then the number of unsuccessful rolls = 90 unsuccessful rolls.

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

<u>step 1</u>: A cube has six faces and each face is numbered from 1 to 6.

<u>step 2</u>: The win in the game requires the number 6, when a cube is rolled.

<u>step 3</u>: On rolling a cube, the outcomes are (1,2,3,4,5, and 6).

<u>step 4</u>: Out of these outcomes, 5 are unsuccessful rolls (1,2,3,4,5) and 1 is a successful roll (6).

<u>step 5</u>: If the cube is rolled 18 times,

then the number of unsuccessful rolls = 18 * 5 unsuccessful rolls

                                                                  = 90 unsuccessful rolls.

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Answer:

120 grams will be left after 180 years.

Step-by-step explanation:

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay and its given by

                                             N(t)=N_0(\frac{1}{2})^\frac{t}{t_{1/2}}

where,

N(t) = quantity of the substance remaining

N_0 = initial quantity of the substance

t = time elapsed

t_{1/2} = half life of the substance

From the information given we know that:

  • The initial quantity is 480 g,
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And we want to find how much will be left. For this we use the above formula.

N(t)=480\left(\frac{1}{2}\right)^{\frac{180}{90}}\\\\N(t)=480\left(\frac{1}{2}\right)^2\\\\N(t)=480\cdot \frac{1}{2^2}=120

120 grams will be left after 180 years.

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3 years ago
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Answer: The movie theater sold 434 a day

Step-by-step explanation:

How I got 434 a day

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