Simplify. Show your work. (3x−5)(2x+7)
2 answers:
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Answer:
the probability that there is equipment damage to the payload of at least one of five independently dropped parachutes is 0.4215
Step-by-step explanation:
Let consider Q to be the opening altitude.
The mean μ = 135 m
The standard deviation = 35 m
The probability that the equipment damage will occur if the parachute opens at an altitude of less than 100 m can be computed as follows:
If we represent R to be the number of parachutes which have equipment damage to the payload out of 5 parachutes dropped.
The probability of success = 0.1587
the number of independent parachute n = 5
the probability that there is equipment damage to the payload of at least one of five independently dropped parachutes can be computed as:
P(R ≥ 1) = 1 - P(R < 1)
P(R ≥ 1) = 1 - P(R = 0)
The probability mass function of the binomial expression is:
P(R ≥ 1) =
P(R ≥ 1) =
P(R ≥ 1) = 1 - 0.5785
P(R ≥ 1) = 0.4215
Hence, the probability that there is equipment damage to the payload of at least one of five independently dropped parachutes is 0.4215
The relative frequency of selecting a diamond from 40 trials of selecting a random card is 30%.
<h3>What is relative frequency?</h3>The relative frequency of an event is the ratio of total number of favorable or desired outcome to the total number of trails done.
Given information-
The card is selected random from the deck of cards.
Total number of trails is 40.
It is known that the total number of diamond card in a standard deck of card is 11. There is total 40 trials is done in which a random card is selected.
As the relative frequency is the ratio of total number of diamonds to the total number of trials done. Thus,
In the percentage from,
Thus the relative frequency of selecting a diamond from 40 trials of selecting a random card is 30%.
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