Answer:
f(x) = x³ - x² - 4x + 4
Step-by-step explanation:
Given the zeros of a polynomial say x = a, x = b, x = c then
(x - a), (x - b), (x - c) are the factors of the polynomial and
f(x) is the product of the factors
here x = 1, x = - 2, x = 2, hence
(x - 1),(x + 2), (x - 2) are the factors and
f(x) = a(x - 1)(x + 2)(x - 2) ← a is a multiplier
let a = 1 and expand the factors
f(x) = (x - 1)(x² - 4)
= x³ - 4x - x² + 4
= x³ - x² - 4x + 4 ← in standard form
Answer:
The answer is in the image below
Top is the passenger train
bottom is the freight
make sure you add 48+8=56
there are 56 trains that went to the station in a 12 hour period.
Answer:
2.28% probability that a person selected at random will have an IQ of 110 or greater
Step-by-step explanation:
Problems of normally distributed samples are 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 a person selected at random will have an IQ of 110 or greater?
This is 1 subtracted by the pvalue of Z when X = 110. So



has a pvalue of 0.9772
1 - 0.9772 = 0.0228
2.28% probability that a person selected at random will have an IQ of 110 or greater
Assuming the question marks are minus signs
to find max, take derivitive and test 0's and endpoints
take derivitive
f'(x)=18x²-18x-108
it equal 0 at x=-2 and 3
if we make a sign chart to find the change of signs
the sign changes from (+) to (-) at x=-2 and from (-) to (+) at x=3
so a reletive max at x=-2 and a reletive min at x=3
test entpoints
f(-3)=83
f(-2)=134
f(3)=-241
f(4)=-190
the min is at x=3 and max is at x=-2