You and a group of friends are going to a five-day outdoor music festival during spring break. You hope it does not rain during the festival, but the weather forecast says there is a 15% chance of rain on the first day, a 10% chance of rain on the second day, a 20% chance of rain on the third day, a 20% chance of rain on the fourth day, and a 60% chance of rain on the fifth day. Assume these probabilities are independent of whether it rained on the previous day or not. What is the probability that it does not rain during the entire festival
Answers
Answer:
Probability that it does not rain during the entire festival = 0.19584
Step-by-step explanation:
We are given that you and a group of friends are going to a five-day outdoor music festival during spring break.
Also, Probability that there may be rain on first day, P(A) = 0.15
Probability that there may be rain on second day, P(B) = 0.10
Probability that there may be rain on third day, P(C) = 0.20
Probability that there may be rain on fourth day, P(D) = 0.20
Probability that there may be rain on fifth day, P(E) = 0.60
It is also provided that these probabilities are independent of whether it rained on the previous day or not.
Now, probability that it does not rain during the entire festival = Probability that there may not be rain on all five days
= (1 - P(A)) (1 - P(B))
(1 - P(C))
(1 - P(D))
(1 - P(E))
= (1 - 0.15) (1 - 0.10)
(1 - 0.20)
(1 - 0.20)
(1 - 0.60)
= 0.85 0.90
0.80
0.80
0.40 = 0.19584
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
the answer to the question is 8
Dividing by a fraction is the same as multiplying by its reciprocal
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Note that a change can be an increase or a decrease.
For an increase, use a positive number. For a decrease, use a negative number.
What is the change in Scott's total pay for each copy of History is Fun he sells?
What is Scott's total pay if he doesn't sell any copies of History is Fun?
Answers
Answer:
A. $80
B. $2100
Step-by-step explanation:
Given:
80x+2100=y
Rewrite the equation
y = 80x + 2100
Where,
y = Scott's total pay (in dollars)
x = number of copies of History is Fun he sells
2100 = fixed pay
A.
Since, x = number of copies of History is Fun he sells
If x = 0
y = 80x + 2100
= 80(0) + 2100
= 0 + 2100
= 2100
y = $2100
If x = 1
y = 80x + 2100
= 80(1) + 2100
= 80 + 2100
= 2180
y = $2180
change in Scott's total pay for each copy of History is Fun he sells = $2180 - $2100
= $80
B. What is Scott's total pay if he doesn't sell any copies of History is Fun?
That is, when x = 0
y = 80x + 2100
= 80(0) + 2100
= 0 + 2100
= 2100
y = $2100