Answer:
0.6710
Step-by-step explanation:
The diameters of ball bearings are distributed normally. The mean diameter is 107 millimeters and the population standard deviation is 5 millimeters.
Find the probability that the diameter of a selected bearing is between 104 and 115 millimeters. Round your answer to four decimal places.
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 107 mm
σ is the population standard deviation = 5 mm
For x = 104 mm
z = 104 - 107/5
z = -0.6
Probability value from Z-Table:
P(x = 104) = 0.27425
For x = 115 mm
z = 115 - 107/5
z = 1.6
Probability value from Z-Table:
P(x = 115) = 0.9452
The probability that the diameter of a selected bearing is between 104 and 115 millimeters is calculated as:
P(x = 115) - P(x = 104)
0.9452 - 0.27425
= 0.67095
Approximately = 0.6710
Answer:
answer in explanation
Step-by-step explanation:
1) y=4x-7
2) y=-2x
3) -4
4) -5
Answer: 
Step-by-step explanation:
1. Substitute 
into first equation and solve for "x" in order to find the x-intercept of the first line:
2. Substitute 
into the first equation and solve for "y" in order to find the y-intercept of the first line:
Knowing that first line passes through the points 
and 
, you can graph it.
3. Substitute into second equation and solve for "x" in order to find the x-intercept:
4. Substitute into the second equation and solve for "y" in order to find the y-intercept of the second line:
Knowing that second line passes through the points 
and 
, you can graph it.
The solution of the system of equations is the point of intersection between the lines. Therefore, the solution of this system is:
Answer:
3.491
Step-by-step explanation:
move the decimal over 3 places.
Answer:
60 degrees
Step-by-step explanation: It's hard and I might not be right, think through it and if you get what I got then submit it, I don't want the blood of failure in my hands >:D gl homie
