Explain how mental math can be used to estimate a 15% tip on a taxi ride that costs $23.25
2 answers:
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Answer:
0.2008 = 20.08% probability that among 150 calls received by the switchboard, there are at least two wrong numbers.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
The probability that a call received by a certain switchboard will be a wrong number is 0.02.
150 calls. So:
Use the Poisson distribution to approximate the probability that among 150 calls received by the switchboard, there are at least two wrong numbers.
Either there are less than two calls from wrong numbers, or there are at least two calls from wrong numbers. The sum of the probabilities of these events is 1. So
We want to find . So
In which
Then
0.2008 = 20.08% probability that among 150 calls received by the switchboard, there are at least two wrong numbers.
Answer:
{s | s < -8 or s >= -2}
Step-by-step explanation:
In order to solve an inequality we simply have to isolate the variable by applying the opposite operations on each side.
s - 2 < -10 ... add 2 to both sides
s < -8
-3s <= 6 ... divide both sides by -3, since we are dividing a negative number you must flip the sign
x >= -2
Therefore the final answer would be {s | s < -8 or s >= -2} which is the 3rd graphed multiple choice answer as seen attached to this answer.
