A sandwich shop charges $3.75 for a sandwich with meat and cheese and $0.15 for each additional topping. You can spend at most $
1 answer:
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Answer:
0.0918 = 9.18% probability that the battery life is at least 8.1 hours.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean 7.5 hours
This means that
Standard deviation 27 minutes.
An hour has 60 minutes, which means that
What is the probability that the battery life is at least 8.1 hours?
This is 1 subtracted by the p-value of Z when X = 8.1. So
has a p-value of 0.9082.
1 - 0.9082 = 0.0918
0.0918 = 9.18% probability that the battery life is at least 8.1 hours.
Answer:
D=[0, 8 214.29]
R=[0, 230 000]
Step-by-step explanation:
In order to find the domain, we must think of the least price you can give to the product you are selling. The price cannot be less than zero, since that would mean that you are giving money to the consumer for taking the product away, so zero is the smallest value p can get.
The greatest value the price can get is the one such that the quantity demanded is zero. So we need to determine that price by setting the equation equal to zero and solving for p.
230,000-28p=0
so we get
-28p=-230,000
so
p=$8,214.29
so the restricted domain for this function would be:
or in interval notation:
D=[0, 8 214.29]
In order to find the range, we just need to determine what's the least and greatest value the function can get. Since this is a linear function, we can find them by just substituting each of the extreme values of the domain in the function, so we get:
q=230,000-28(0)=230,000
q=230,000-28(8214.29)=0
so the range would be:
or in interval notation:
R=[0, 230 000]