Four, -6 in terms of standard unit factors I NJ makes no sense
Using the normal distribution, it is found that 0.26% of the items will either weigh less than 87 grams or more than 93 grams.
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 90 grams, hence
.
- The standard deviation is of 1 gram, hence
.
We want to find the probability of an item <u>differing more than 3 grams from the mean</u>, hence:



The probability is P(|Z| > 3), which is 2 multiplied by the p-value of Z = -3.
- Looking at the z-table, Z = -3 has a p-value of 0.0013.
2 x 0.0013 = 0.0026
0.0026 x 100% = 0.26%
0.26% of the items will either weigh less than 87 grams or more than 93 grams.
For more on the normal distribution, you can check brainly.com/question/24663213
Answer:
7.5 * 10^-4
Step-by-step explanation:
To express this, we will have to multiply 750 by the conversion unit
we have this as;
750 * 10^-6
750 = 7.5 * 10^2
so we have;
7.5 * 10^2 * 10^-6
= 7.5 * 10^(-6+2)
= 7.5 * 10^-4
I would use what times 6 = 36 because 6*6+36
Cross multiply
5/8 and 8/10
5x8=40
8x8=64
40 does not equal 64 so not proportional