A store is having a sale on trail mix and jelly beans. For 2 pounds of trail mix and 3 pounds of jelly beans, the total cost is
13. For 4 pounds of trail mix and 8 pounds of jelly beans, the total cost is $33. Find the cost for each pound of trail mix and each pound of jelly beans.
1 answer:
Answer:
- trail mix: $1.25
- jelly beans: $3.50 per pound
Step-by-step explanation:
The difference between double the first purchase and the second purchase is $7 and 2 pounds of jelly beans. Hence a pound of jelly beans is $3.50.
(4t +8j) -2(2t +3j) = (33) -2(13) . . . . . let t and j represent pounds of trail mix and jelly beans, respectively
2j = 7 . . . . . . . . . . simplify
j = 7/2 = 3.50
Using that value in the first purchase, we get ...
2t +3(3.50) = 13
2t = 13 -10.50
t = 2.50/2 = 1.25
A pound of trail mix is $1.25.
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Answer:
The company should take a sample of 148 boxes.
Step-by-step explanation:
Hello!
The cable TV company whats to know what sample size to take to estimate the proportion/percentage of cable boxes in use during an evening hour.
They estimated a "pilot" proportion of p'=0.20
And using a 90% confidence level the CI should have a margin of error of 2% (0.02).
The CI for the population proportion is made using an approximation of the standard normal distribution, and its structure is "point estimation" ± "margin of error"
[p' ± ]
Where
p' is the sample proportion/point estimator of the population proportion
is the margin of error (d) of the confidence interval.
So
n= 147.28 ≅ 148 boxes.
I hope it helps!