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% .
Answer: D (-8)(-24) and (-16)(-12)
Step-by-step explanation:
The first expression is equivalent to 192
Therefore, both must be positive which eliminates answer A, B, and C
Therefore the answer must be D
8x24 = 192
16x12=192
X=14/5 if you want solution here:
Use the commutative property to reorder the terms: 2x=14-3x
Move the variable to the left - hand side and change sign: 2x+3x=14
Collect like terms: 5x=14
Divide both sides of the equation by 5: x=14/5
The sum of the infinite geometric series .. B.-1
You have to use the distributive property for this worksheet (multiplying the number in front of the parenthesis which each number inside the parenthesis)
1, for example,
8 • x = 8x
8 • 5 = 40
So your answer would be 8x+40. Don’t overthink it. You got the rest! Just comment back if you need help! :]
