You are shopping for school supplies and want to decide where you should buy pencils from. SupplyCo sells a 10 pack of pencils f
1 answer:
Answer:
120 (60 from each store)
Step-by-step explanation:
Given that:
Price for 10 pack of pencils at SupplyCo = $0.95
Price for 10 pack of pencils at SchoolShop = $1.45
Discount coupon at SchoolShop = $3.00
Let the number of packs of pencils bought = (in pack of 10)
Then will be the number of packs of 10 bought at each store.
Therefore, price at SupplyCo for packs (in pack of 10) =
And price at SchoolShop for packs (in pack of 10) =
(because there is a coupon of $3.00)
As per question statement, price at both the stores is same:
Therefore, number of packs bought = (60 from each store)
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The bell curve attached below shows the normal distribution of the data.
We are looking the value of X such as the area to its left gives the probability of 0.75
We first need the z-score which we can obtain by reading from the z-table (as shown in the second picture below)
The z-score is = 0.7734
Then we use the following formula to work out X
z-score = (X - Mean) ÷ Standard Deviation
0.7734 = (X - 100) ÷ 15
0.7734×15 = X - 100
11.601 = X - 100
X = 11.601 + 100
X = 111.601 ≈ 112
Hence the third quartile is 112
We are looking the value of X such as the area to its left gives the probability of 0.75
We first need the z-score which we can obtain by reading from the z-table (as shown in the second picture below)
The z-score is = 0.7734
Then we use the following formula to work out X
z-score = (X - Mean) ÷ Standard Deviation
0.7734 = (X - 100) ÷ 15
0.7734×15 = X - 100
11.601 = X - 100
X = 11.601 + 100
X = 111.601 ≈ 112
Hence the third quartile is 112