(3x-4)(x^2-5x-1) (3x−4)(x 2 −5x−1)
1 answer:
Answer:
3x 3 - x 2 - 5x + 3
Step-by-step explanation:
To find the products, multiply x by each element of the longer expression 3x 2 + 2x - 3.
Then multiply each element of the longer expression again by -1 and add the results of the two products.
(3x 2 + 2x - 3)(x - 1)
= 3x^3 + 2x^2 - 3x - 3x^2 - 2x +3
Rearrange = 3x^3 + 2x^2 - 3x^2 - 3x - 2x +3
simplify = 3x^3 - x^2 - 5x + 3
will have a good Day!
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Answer:
0.02% probability that the average amount billed on the sample bills is greater than $500.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
.
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
.
What is the probability that the average amount billed on the sample bills is greater than $500?
This probability is 1 subtracted by the pvalue of Z when . So
has a pvalue of 0.9998.
So there is a 1-0.9998 = 0.0002 = 0.02% probability that the average amount billed on the sample bills is greater than $500.