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)
Answer:
no solution
Step-by-step explanation:
Given
(6x + 12) - 2(x - 7) = 19 ← distribute parenthesis on left side
2x + 4 - 2x + 14 = 19 , that is
18 = 19 ← not possible
This indicates the equation has no solution
Answer:
<u>The correct answer is C. 600 shares worth $16.67 each </u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Number of old shares Jim owns in Gamma Vision Inc = 400
Value of each share = $ 25
Ratio of new shares : old shares after the split = 3:2
2. How many shares will he have after the split and how much will each be worth? Select the best answer from the choices provided.
A. Let's use the ratio provided to calculate the number of new shares Jim will own, this way:
New shares = 400 * 3/2 = 1,200/2 = 600
B. Let's calculate the price of the new share, this way:
The total value of the new shares should be the same than the total value of the old shares, then:
400 * 25 = 600 * x
10,000 = 600x
x = 10,000/600 = 16.67
<u>The correct answer is C. 600 shares worth $16.67 each </u>
Answer: The median is 4
Step-by-step explanation: Put all the numbers in least to greatest order and the number in the middle which is 4 is the median.