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ANEK [815]
3 years ago
13

Bob rolls a fair six-sided die each morning. If Bob rolls a composite number, he eats sweetened cereal. If he rolls a prime numb

er, he eats unsweetened cereal. If he rolls a 1, then he rolls again. In a non-leap year, what is the expected number of times Bob will roll his die?
Mathematics
1 answer:
iragen [17]3 years ago
8 0

Answer:

He will roll his dice 365 days,

The expected number of days he will roll composite numbers (and eat sweetened cereal) is 146 days.

The expected number of days he will roll prime numbers (and eat unsweetened cereal) is 219 numbers.

Step-by-step explanation:

Bob rolls a fair six-sided dice each morning.

If he rolls a composite number, he eats sweetened cereal, if he rolls a prime number, he eats unsweetened cereal. If he rolls a 1, he rolls again.

We can conclude that when he gets 1 it doesn't really matter for the calculation of the probabilities since he will roll again. Therefore, our possible outcomes are 2, 3, 4, 5 and 6

  • The composite numbers we have are: 4 and 6.
  • The prime numbers we have are: 2, 3 and 5.

So out of the 5 outcomes, 40% (2/5) are composite numbers, and 60% (3/5) are prime numbers.

So in general, we would expect that Bob rolls composite numbers 40% of the days and prime numbers 60% of the days.

A non-leap year has 365 days, we expect him to roll composite numbers 40% of the time this will give us:

365 x 0.40 = 146 days.

We expect him to roll prime numbers 60% of the days:

365 x 0.60 = 219 numbers.

Therefore, he will roll his dice 365 dies and the expected number of days he will roll composite numbers (and eat sweetened cereal) is 146 days. The expected number of days he will roll prime numbers (and eat unsweetened cereal) is 219 numbers.

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Answer:

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Step-by-step explanation:

You can change b though, as long as x stays the same.

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Step-by-step explanation:

arranging in ascending order is simply arranging from the smallest to the largest.

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2 years ago
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Is 7 a solution of 5x - 3 = 12?
V125BC [204]

Answer:

no

Step-by-step explanation:

5x - 3 = 12

5x=12+3

x=15/5=3

x=3

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3 0
3 years ago
PLEASE HELP IM SO STUCK
mihalych1998 [28]

Answer:

  Slope = 7/4

Step-by-step explanation:

You are given coordinate values and a formula that tells you what to do with them. All you need to do is put the values in the formula and do the arithmetic.

<h3>Points</h3>

You are given points (2, -3) and (6, 4). The slope formula refers to the two points as (x1, y1) and (x2, y2). It does not matter which is which.

If we use the points in the same order they are given, then we can see that ...

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<h3>Formula</h3>

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The slope of the line through the given points is 7/4.

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