The finished inside diameter of the Piston ring is normally distributed with a mean of 4 inches and standard deviation of 0.01 inch. Below what value of inside diameter will 15% of the Piston ring fall

3.98964 inches

Step-by-step explanation:

We are given;

Mean; μ = 4 inches

Standard deviation; σ = 0.01 inch

Probability = 15% = 0.15

Formula to calculate z-value is given by;

z = (X - μ)/σ

Now, since we are given the probability to be below 0.15,thus;

From z - table attached, the z value that corresponds to a probability of 0.15 is -1.036.

Thus, plugging in the relevant values into the z score equation gives;

-1.036 = (x - 4)/0.01

Cross multiply to give;

-0.01036 = x - 4

x = 4 - 0.01036

x = 3.98964 inches

step-by-step explanation:

ask goog great chance of finding the solution there

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?