On the provided graph, select the locations of the x-intercepts of the following polynomial function. x^3-7x^2-26x+72
2 answers:
Answer:
The x-intercepts are the points (-4,0). (2,0) and (9,0)
The location of the x-intercepts in the attached figure
Step-by-step explanation:
we know that
The x-intercepts of a function are the values of x when the value of the function is equal to zero
we have
using a graphing tool
The x-intercepts are the points (-4,0). (2,0) and (9,0)
see the attached figure
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Answer:
They should guarantee the lifetime of their batteries for 32 months.
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 of 36 months and a standard deviation of 2 months.
This means that
If the company wants to replace no more than 2% of all batteries, for how many months should they guarantee the lifetime of their batteries?
The guarantee should be the 2th percentile of lengths, which is X when Z has a pvalue of 0.02. So X when Z = -2.054.
Rounding to the closest month, 32.
They should guarantee the lifetime of their batteries for 32 months.
We can use the Front Outside Inside Last (FOIL) method to expand the double bracket
Front ⇒
Outside ⇒
Inside ⇒
Last ⇒
Put the four terms together we have
, then collect like terms
Front ⇒
Outside ⇒
Inside ⇒
Last ⇒
Put the four terms together we have