Answer:
(x+1) (x-1) (x+2) (x-2)
Step-by-step explanation:
<u>Let u = x^2</u>
= u^2 - 5u + 4
<u>(Factor u^2 - 5u + 4)</u>
= (u-1) (u-4)
<u>Substitute back u = x^2</u>
= (x^2 -1 ) (x^2 - 4)
<u>Factor x^2 - 1 and x^2 -4</u>
= (x+1) (x-1) (x+2) (x-2)
Hope this helped... :)
If you need to see the work for yourself, copy/paste this link
https://www.symbolab.com/solver/factor-calculator/factor%20x%5E%7B4%7D%20%E2%88%92%205x%5E%7B2%7D%20%2B%204%20
Answer:
The probability that at least 280 of these students are smokers is 0.9664.
Step-by-step explanation:
Let the random variable <em>X</em> be defined as the number of students at a particular college who are smokers
The random variable <em>X</em> follows a Binomial distribution with parameters n = 500 and p = 0.60.
But the sample selected is too large and the probability of success is close to 0.50.
So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:
1. np ≥ 10
2. n(1 - p) ≥ 10
Check the conditions as follows:
Thus, a Normal approximation to binomial can be applied.
So,
Compute the probability that at least 280 of these students are smokers as follows:
Apply continuity correction:
P (X ≥ 280) = P (X > 280 + 0.50)
= P (X > 280.50)
*Use a <em>z</em>-table for the probability.
Thus, the probability that at least 280 of these students are smokers is 0.9664.
Answer: you have to use d=rt to figure it out. that is distance equals to rate times time
Step-by-step explanation:
hope that helps
Answer:
(4,0)
Step-by-step explanation:
It is a linear function so you find the slope by doing y2-y1/x2-x1 and you find the slope to be 1/2. You can then setup an equation using it and graph it to find the next value.
Answer:$50
Step-by-step explanation:
So we have the sweater that’s $30 with a sale of 60% of the original price.
That means $30=60% of the original
So
30=60%start with this
5=10% divide 6 by both sides to get 10%
50=100% times by 10 to get 100%, which is the original price.
So the original price of this sweater is $50
:D