Module 6 Polynomial the question is in the picture. Alana completed a problem where she had to find the sum of the polynomials (
3x^2+8x-4) and (-8x^3-3x+4). Her answer is 0. Complete the explanation and correct her mistake. When graphed, how many times does the sum change directions??
A rectangular plot of land has a length of (2x^2+5x-20) and a width of (3x+4). What is the polynomial representing the area of the plot of land? Explain how you got your answer. Below.
A rectangular plot of land has a length of (2x^2+5x-20) and a width of (3x+4). What is the polynomial representing the area of the plot of land? Explain how you got your answer. Below.
1 answer:
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Answer:
y=-0.215x^2+35
Step by Step:
Let, ,
,
,
We know that, the general equation of the parabola.
Substitute the value of in equation
and find the value of
Hence, the equation of the parabola is:
Answer:
The interval (meassured in Inches) that represent the middle 80% of the heights is [64.88, 75.12]
Step-by-step explanation:
I beleive those options corresponds to another question, i will ignore them. We want to know an interval in which the probability that a height falls there is 0.8.
In such interval, the probability that a value is higher than the right end of the interval is (1-0.8)/2 = 0.1
If X is the distribuition of heights, then we want z such that P(X > z) = 0.1. We will take W, the standarization of X, wth distribution N(0,1)
The values of the cumulative distribution function of W, denoted by , can be found in the attached file. Lets call
. We have
Thus
by looking at the table, we find that y = 1.28, therefore
The other end of the interval is the symmetrical of 75.12 respect to 70, hence it is 70- (75.12-70) = 64.88.
The interval (meassured in Inches) that represent the middle 80% of the heights is [64.88, 75.12] .