Answer:
Probability that the sample variance exceeds 3.10 is less than 0.05%.
Step-by-step explanation:
We are given that a process produces batches of a chemical whose impurity concentrations follow a normal distribution with a variance of 1.75.
Also, a random sample of 20 of these batches is chosen.
The probability distribution that we will used here is of Chi-square distribution, i.e.;
~
where, = sample variance
= population variance = 1.75
n = sample of batches = 20
So, probability that the sample variance exceeds 3.10 is given by = P( > 3.10)
P( > 3.10) = P( > )
= P( > 59.62) = P( > 59.62) = Less than 0.05%
From chi-square table we can observe that Probability that is greater than is less than 0.05%.
So, the probability that the sample variance exceeds 3.10 is less than 0.05%.
Answer:
Undefined
Step-by-step explanation:
(see attached for reference)
in our case, we are given 2 points
(x₁, y₁) = (-9,-6)
(x₂, y₂) = (-9,-10)
immediately we can see that the x-ordinate for both points are the same, which means that if we were to draw a line through both points, it would form a vertical line.
By definition, a vertical line has a slope that is undefined (answer)
True, because dot plots usually look like this
0 0
0 0 0 0 0
__________________________________
1 2 3 4 5
As you can see, the dots are above the line.
Answer:
x=8
Step-by-step explanation:
Subtract the second expression 4/3x−6 from the first expression 4/3x+2.
4/3x+2−(4/3x−6) Simplify each term. 4x/3+2−4x/3+6
Simplify by adding terms.
8