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RSB [31]
3 years ago
12

Exercise 2.66. You are given a fair die. You must decide ahead of time how many times to roll. If you get exactly 2 sixes, you g

et a prize. How many rolls should you take to maximize your chances and what are the chances of winning
Mathematics
1 answer:
AlekseyPX3 years ago
3 0

Answer:

The number of rolls  = 36

Step-by-step explanation:

Thinking process:

A die has six sides (6).

Thus, the probability of striking a 6 is \frac{1}{6}

Let the number or sixes be 2

The number of roles for the die is given the following: (6)^{n} where n is the number of sixes needed.

Therefore, the number of roles needed = (6)^{2}  = 36

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Step-by-step explanation:

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Nick walked 3/4 of a mile in 12 minutes.How long would it take him to walk three miles at this pace
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Answer:

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My son, Garrett, is 11 years old and has a piggy bank that he wants to fill. He started with 5 one dollar bills. Every Saturday
Debora [2.8K]

Answer:

1) M(x) = 5 + 3x

2) Dependent variable; 3 dollar bills

Independent variable: chores

3) Range is continuous

Domain is discrete

4) Range: 0 ≤ x ≤ 10

Domain: 5 ≤ M ≤ 35

Step-by-step explanation:

We are told he started with 5 number of $1 dollar bills and that every Saturday, he earns 3 more $1 dollar bill.

Thus, total number of $1 bills earned after x number of Saturdays(weekly) is;

M(x) = 5 + 3x

After 10 weeks, total number is;

M(10) = 5 + 3(10)

M(10) = 35

The dependent variable is the 3 more dollar bills earned each Saturday because it depends on chores he completed. While the independent variable is the chores because it doesn't depend on anything.

After 10 weeks, the range and domain will be;

Range: 0 ≤ x ≤ 10

For the; Domain:

For x = 1, M(0) = 5 + 3(0) = 5

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Thus;

Domain: 5 ≤ M ≤ 35

The range could be all numbers in the interval from 0 to 10. Thus, it is continuous.

Whereas, the domain doesn't contain all the numbers in the interval from 5 to 35. Thus it is Discrete.

8 0
2 years ago
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