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
The answer would be b: 6.25(s+g)
you can already cancel out c., as there’s no way it could be 13.50
since it says it’s $6.25 dollars for all grades and you would be trying to find both 7th and 8th graders, you would need to multiply both variables by the amount they need to pay. in this case, $6.25.
Answer:

Step-by-step explanation:
See photo for steps.
Answer:
75%
Step-by-step explanation:
Answer:
F(x)=x2+C
Step-by-step explanation: