Answer:
The variance of the measure of productivity = 141.67(to 2 d.p)
Step-by-step explanation:
The complete question and the step-by step explanation are contained in the files attached to this solution.
Answer: t=20°
Step-by-step explanation:
1. By definition, the sum of the interior angles is 180 degrees.
2. Keeping the information above on mind, you can write the following expression:
3. Now, you must solve for 
as following:
4. Therefore, the value of is 20°
Answer:
An x-coordinate is the x value in an ordered pair, which is just two mathematical objects, such as numbers, paired together. ... For instance, in the ordered pair (2,5), the x-coordinate would be '2. ' This value tells you how far a point is from the origin, or starting point, in the x direction on a 2-dimensional graph.
Step-by-step explanation:
Answer:
69.14% probability that the diameter of a selected bearing is greater than 84 millimeters
Step-by-step explanation:
According to the Question,
Given That, The diameters of ball bearings are distributed normally. The mean diameter is 87 millimeters and the standard deviation is 6 millimeters. Find the probability that the diameter of a selected bearing is greater than 84 millimeters.
- In a set with mean and standard deviation, the Z score of a measure X is given by Z = (X-μ)/σ
we have μ=87 , σ=6 & X=84
- Find the probability that the diameter of a selected bearing is greater than 84 millimeters
This is 1 subtracted by the p-value of Z when X = 84.
So, Z = (84-87)/6
Z = -3/6
Z = -0.5 has a p-value of 0.30854.
⇒1 - 0.30854 = 0.69146
- 0.69146 = 69.14% probability that the diameter of a selected bearing is greater than 84 millimeters.
Note- (The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X)
