Using the normal distribution, it is found that 2.64% of all the nails produced by this machine are unusable.
In a <em>normal distribution</em> with mean
and standard deviation
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem:
- The mean is of 3 inches, hence
.
- The standard deviation is of 0.009 inches, hence
.
Nails that are <u>more than 0.02 inches</u> from the mean are unusable, hence:



The proportion is P(|Z| > 2.22), which is <u>2 multiplied by the p-value of Z = -2.22</u>.
Z = -2.22 has a p-value of 0.0132.
2 x 0.0132 = 0.0264
0.0264 x 100% = 2.64%
2.64% of all the nails produced by this machine are unusable.
You can learn more about the normal distribution at brainly.com/question/24663213
Ans
y>-5x+3 meen the area abuv the strate line y=-5x+3
line go thru point (0,3) & hav slope=-5=downhill
Point A is at (12,12)
Point B is at (48,24)
Use the distance formula √((x2-x1)^2 + (y2-y1)^2)
Length = √((48-12)^2 + (24-12)^2)
Length = √(36^2 + 12^2)
Length = √(1296 + 144)
Length = √1440
The answer is E.
90 degrees I think . I dint think my answer is right pls check it once
If you are asking how to estimate it would be right.