Use the picture to answer. Which real number is not both a whole number and an integer? A. 423 B. 259 C. –156D. 0
1 answer:
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The expression which represents the other factor, or factors, of the given polynomial is option (C) (2x-1)(x+1)
A cubic equation in algebra is a one-variable equation of the form ax3+bx2+cx+d=0 where an is nonzero. The roots of the cubic function defined by the left side of this equation are the solutions to this equation.
Given expression 2x³-3x²-3x+2 whose one of factor is (x-2)
We have to find second factor of given equation
First we will be rational root theorem to given expression so will get following expression:
So one factor is (x-1) and now simplifying we get 2x² - 5x +2 and the factor of 2x² - 5x +2 will be (2x-1)(x-2)
Hence the expression which represents the other factor, or factors, of the given polynomial is option (C) (2x-1)(x+1)
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Answer:
P(at least 1 dull blade)=0.7068
Step-by-step explanation:
I hope this helps.
This is what it's called dependent event probability, with the added condition that at least 1 out of 5 blades picked is dull, because from your selection of 5, you only need one defective to decide on replacing all.
So if you look at this from another perspective, you have only one event that makes it so you don't change the blades: that 5 out 5 blades picked are sharp. You also know that the probability of changing the blades plus the probability of not changing them is equal to 100%, because that involves all the events possible.
P(at least 1 dull blade out of 5)+Probability(no dull blades out of 5)=1
P(at least 1 dull blade)=1-P(no dull blades)
But the event of picking one blade is dependent of the previous picking, meaning there is no chance of picking the same blade twice.
So you have 38/48 on getting a sharp one on your first pick, then 37/47 (since you remove 1 sharp from the possibilities, and 1 from the whole lot), and so on.
Also since are consecutive events, you need to multiply the events.
The probability that the assembly is replaced the first day is:
P(at least 1 dull blade)=1-P(no dull blades)
P(at least 1 dull blade)=0.7068