a bookshelf holds 43 books on each shelf is the total number of books proportional to the number of shelves in the bookshelf
2 answers:
Answer:
Yes, the total number of books is proportional to the number of shelves in the bookshelf.
Step-by-step explanation:
Let y represent total number of books and x represent number of shelves.
We have been given that a bookshelf holds 43 books on each shelf. We are asked to determine whether the total number of books proportional to the number of shelves in the bookshelf.
The total number of books on x shelves would be . We can represent this information in an equation as:
Therefore, the total number of books is proportional to number of shelves in the bookshelf and constant of proportionality is 43.
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Answer:
Confidence Interval - 2.290 < S < 2.965
Step-by-step explanation:
Complete question
A chocolate chip cookie manufacturing company recorded the number of chocolate chips in a sample of 50 cookies. The mean is 23.33 and the standard deviation is 2.6. Construct a 80% confidence interval estimate of the standard deviation of the numbers of chocolate chips in all such cookies.
Solution
Given
n=50
x=23.33
s=2.6
Alpha = 1-0.80 = 0.20
X^2(a/2,n-1) = X^2(0.10, 49) = 63.17
sqrt(63.17) = 7.948
X^2(1 - a/2,n-1) = X^2(0.90, 49) = 37.69
sqrt(37.69) = 6.139
s*sqrt(n-1) = 18.2
confidence interval:
(18.2/7.948) < S < (18.2/6.139)
2.290 < S < 2.965