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:
The formula for the circumference of a circle is C = 2πr, where r is the radius and C is the circumference. The equation solved for r is r =c/2π .
Step-by-step explanation: hope this helped!
Answer:
x=-1 and x=5
Step-by-step explanation:
we have
Solve it by completing the square method
We take the coefficient of x that is -4, divide it by 2 and then square it
so
square it
Adds 4 both sides
Combine like terms right side
Rewrite as perfect squares
take square root both sides
therefore
Answer:
Test A: 40 words per minute
Test B: 54 words per minute
Test C: 44 words per minute
<em><u>Test B has the highest unit rate</u></em>
Step-by-step explanation:
Test A divide 30 by (30/0.75=40)
Test B divide 78 by (78/1.5=52)
Test C divide 99 by (99/2.25=44)
<u>Hope this helps :-)</u>
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Answer:1800 words
Step-by-step explanation:
Multiply how many words per minute she types by how many minutes she types. In this case 60x30=?. The easy way to do this is drop the 2 zeros and do 6x3=18. In the original equation we dropped the 2 zeros. Now we add them back on the back of the 18 and get 1800.