At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 18 m
1 answer:
Answer:
99.7% of customers have to wait between 8 minutes to 30 minutes for their food.
Step-by-step explanation:
We are given the following in the question:
Mean, μ = 18 minutes
Standard Deviation, σ = 4 minutes
We are given that the distribution of amount of time is a bell shaped distribution that is a normal distribution.
Empirical Formula:
- Almost all the data lies within three standard deviation from the mean for a normally distributed data.
- About 68% of data lies within one standard deviation from the mean.
- About 95% of data lies within two standard deviations of the mean.
- About 99.7% of data lies within three standard deviation of the mean.
Thus, 99.7% of the customers have to wait:
Thus, 99.7% of customers have to wait between 8 minutes to 30 minutes for their food.
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Answer:
Step-by-step explanation:
We must consider the price of the Jeans as whole since it represents the full price of the jeans. The discount might be a limited only offer and does not represent the fullest price of the jeans.
To find the original price of the jeans we have two methods that in the end are going to lead to the same conclusion. The long method is to represent mathematically the information presented. Conceptually, we could interpret the statement saying that the original price minus 30% of the original price is equal to the original price minus the discount. Let us say the Original Price (OP)=x. then, mathematically we represent the statement as:
What we need to do now is to isolate x on one side of the equation. We have x as a common factor, so:
This one is the original price of the jeans: $80. There is a shortcut to this method, though. We know two things that are fundamental: the discount sale is $24 and the jeans are 30% off. These statements provide the same information; thus we can match them and say that:
And we find ourselves on the same conclusion.
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Answer:
P=1/42.
Step-by-step explanation:
We know that the student council has 10 members where 5 of the members are Seniors. They need to choose a President, Vice President, Secretary and Treasurer. We calculate the probability that the President is a Senior:
We calculate the number of possible combinations:
Number of favorable combinations is 5.
Threfore, the probability is
P=5/210
P=1/42.