I think the answer should be 12.
Answer:
Sum of those numbers are 50
Step-by-step explanation:
Let x represent a number that is twice as far away from 13 than 22.
The number can't be less than 13 but will be between 13 and 22 or slightly more than 22 otherwise it will be far away from both.
Thus;
|x - 13| = 2|x - 22|
It's in absolute form, so we will square both sides to get rid of the absolute brackets.
Thus;
(x - 13)² = 4(x - 22)²
x² - 26x + 169 = 4(x² - 44x + 484)
x² - 26x + 169 = 4x² - 176x + 1936
4x² - x² - 176x + 26x + 1936 - 169 = 0
3x² - 150 + 1767 = 0
Using quadratic formula, we have;
x = 19 or x = 31
Thus,the sum of the 2 numbers = 31 + 19 = 50
Answer:
The bolts with diameter less than 5.57 millimeters and with diameter greater than 5.85 millimeters should be rejected.
Step-by-step explanation:
We have been given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.71 millimeters and a standard deviation of 0.08 millimeters.
Let us find the sample score that corresponds to z-score of bottom 4%.
From normal distribution table we got z-score corresponding to bottom 4% is -1.75 and z-score corresponding to top 4% or data above 96% is 1.75.
Upon substituting these values in z-score formula we will get our sample scores (x) as:
Therefore, the bolts with diameters less than 5.57 millimeters should be rejected.
Now let us find sample score corresponding to z-score of 1.75 as upper limit.
Therefore, the bolts with diameters greater than 5.85 millimeters should be rejected
Answer:
60
Step-by-step explanation:
substitute x=8
f(8)=(8)2-4=60