Answer:
Proportion of all bearings falls in the acceptable range = 0.9973 or 99.73% .
Step-by-step explanation:
We are given that the diameters have a normal distribution with a mean of 1.3 centimeters (cm) and a standard deviation of 0.01 cm i.e.;
Mean, 
= 1.3 cm and Standard deviation, 
= 0.01 cm
Also, since distribution is normal;
Z = 
~ N(0,1)
Let X = range of diameters
So, P(1.27 < X < 1.33) = P(X < 1.33) - P(X <=1.27)
P(X < 1.33) = P( < 
) = P(Z < 3) = 0.99865
P(X <= 1.27) = P( < 
) = P(Z < -3) = 1 - P(Z < 3) = 1 - 0.99865
= 0.00135
P(1.27 < X < 1.33) = 0.99865 - 0.00135 = 0.9973 .
Therefore, proportion of all bearings that falls in this acceptable range is 99.73% .
3: 18
4: 17
5: 561
6: 17
7: 23
:)
9^2 + 12^2 = 225. the square root of 225 is 15. x=15
We need to solve the zeroes of the given expression x² - 13x + 30 = 0 and we need to apply zero product property.First, we need to identify the two numbers which will result to -13 when added and it will result to 30 when multiplied. These two numbers are -3 and -10. Then, we can proceed with the solution such as:
x² - 13x + 30 = 0
(x-3) (x- 10) =0
From above, we have already the two zero product:
x-3 = 0
x1 = 3
x-10 =0
x2 =10
The answers are x1 = 3 and x2 = 10.
(2, -4) → x = 2, y = -4
Put the coordinates of the point to the inequality.
y < x - 2 → -4 < 2 - 2 → -4 < 0 TRUE
y ≥ -x -4 → -4 ≥ -2 - 2 → -4 ≥ -4 TRUE
Answer:
You can check other systems.
(2) y > x - 2 → -4 > 2 - 2 → -4 > 0 FALSE
(3) y ≤ -x - 4 → -4 ≤ -2 - 4 → -4 ≤ -6 FALSE
(4) y > x - 2 → -4 > 2 - 2 → -4 > 0 FALSE
