Answer:
Step-by-step explanation:
2x - 1 =0
2x = 1
x = 1/2
Now We have to find P(1/2). If P(1/2) is zero, then 2x - 1 is a factor of P(x)
P(x)= x³ - x² + 2x -1
2x - 1 is not a factor of p(x)
Answer: A
Step-by-step explanation:
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Answer:
The two diameters that separate the top 5% and the bottom 5% are 5.51 and 5.65 respectively.
Step-by-step explanation:
We are given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.58 millimeters and a standard deviation of 0.04 millimeters.
<em>Let X = diameters of bolts produced in a machine shop</em>
So, X ~ N()
The z score probability distribution is given by;
Z = ~ N(0,1)
where, = mean diameter = 5.58 millimeter
= standard deviation = 0.04 millimeter
<u>Now, we have to find the two diameters that separate the top 5% and the bottom 5%.</u>
- <u>Firstly, Probability that the diameter separate the top 5% is given by;</u>
P(X > x) = 0.05
P( > ) = 0.05
P(Z > ) = 0.05
<em>So, the critical value of x in z table which separate the top 5% is given as 1.6449, which means;</em>
= 1.6449
= 5.58 + 0.065796 = 5.65
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- <u>Secondly, Probability that the diameter separate the bottom 5% is given by;</u>
P(X < x) = 0.05
P( < ) = 0.05
P(Z < ) = 0.05
<em>So, the critical value of x in z table which separate the bottom 5% is given as -1.6449, which means;</em>
= -1.6449
= 5.58 - 0.065796 = 5.51
Therefore, the two diameters that separate the top 5% and the bottom 5% are 5.51 and 5.65 respectively.
I’m pretty sure the price before was £108.9 because 10% of £121 is £12.1 so if you subtract that you would get £108.9 I hope this helps
Step-by-step explanation:
<u>Step 1: Find the value of f(-1)</u>
Using the graph, locate where x = -1. We can see that when x = -1, y is equal to about -8. Therefore, f(-1) = -8.
<u>Step 2: Find the value of f(1)</u>
Using the graph, locate where x = 1. We can see that when x = 1, y is equal to about -12. Therefore, f(1) = -12.