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
Answer:
B
Step-by-step explanation:
Its hard to explain. Hmm lets see...okay so -1/4 is a quarter of -1 also -25%. so lets think of -1 to be -100% makes sense? and its opposite is mirrored on the number line. Hope that helped
Answer:

Step-by-step explanation:
The sum of interior angles of a 5-sided polygon is 540 degrees.
We sum all the angles to get:
<M+<L+<N+<O+<P=540
90+90+(17x+4)+(18x+6)+(10x-10)=540
45x+180=540
45x=540-180
45x=360
x=8
N=18*8+6

Answer:
34
Step-by-step explanation: