Answer:
The square root of 120 is 10.9545.
The square root of 30 is 5.47723.
10.9545 divided by 5.47723 is approximately 2.0000073
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
<u>A is the answer. </u>(0,5) (2,20)
<u>Step-by-step explanation:</u>
This is the correct graph on Desmos, the other user forgot to add x as an exponent.
(0,5) (2,20)
If length is 42 inches, then width is 18 inches.
Step-by-step explanation:
We are given ratio of width to the length of a painting i.e 3 to 7. If the painting is 42 inches long, then how wide it is?
Solving:

So, If length is 42 inches, then width is 18 inches.
Keywords: Ratio
Learn more about Ratio at:
#learnwithBrainly
Answer:
-3
Step-by-step explanation:
To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.
-From Khan Academy-