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Let the total earnings be = x
Jennifer and Chris split the earnings in the ratio 3:2
Jennifer earned = $48
x=80
Hence total earnings are $80
(a) Chris earning is =
Hence, Chris earns $32
(b) Jennifer spends 30% of her earnings on a book.
So, price of the book =
Price of book = $14.40
(c) Jennifer also buys a magazine for = $5.40
So, total money Jennifer spent on book and magazine = 14.40+5.40=19.80
Money left with Jennifer = 48-19.80= $28.20
In fractions =
or multiplying the numerator and denominator by 10, we get
=
(d) Let the original price of the shirt = x
reduction percentage on x= 40%
Price paid after reduction = 16.80
Hence, the original price of the shirt was $42.
Answer:
The 98% confidence interval for the mean purchases of all customers is ($37.40, $61.74).
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the mean subtracted by M. So it is 49.57 - 12.17 = $37.40.
The upper end of the interval is the mean added to M. So it is 49.57 + 12.17 = $61.74.
The 98% confidence interval for the mean purchases of all customers is ($37.40, $61.74).