Answer:
The probability that a randomly chosen part has diameter of 3.5 inches or more is 0.9525
Step-by-step explanation:

Standard deviation = 
We are supposed to determine the probability that a randomly chosen part has diameter of 3.5 inches or more

Refer the z table for p value

Hence the probability that a randomly chosen part has diameter of 3.5 inches or more is 0.9525
64% of 75 tiles is 48 tiles
because 0.64x75=48
A₆ =12
a₇ = ?? = x
a₈ 27
In this case x is the geometric mean & as per the formula
geometric mean of 2 numbers =√(a₆ * a₈) = √(12*27)
& x=18.
Proof:
Find the common ratio between a₇ & a₆ ==> = ( x) / 12
now find the common ration between a₈ & a₇ ===> =27 / (x)
x/12 = 27/x ===> x² = 12*27 ==> x² = 324 & x =√324 = 18
Answer:
The correct answer to this question is complementars