The American Heart Association is about to conduct an anti-smoking campaign and wants to know the fraction of Americans over 33
1 answer:
Answer:
The estimate for the proportion of Americans over 33 who smoke is 0.28.
Step-by-step explanation:
Proportion of Americans over 33 who smoke.
Number who smoke divided by the size of the sample.
In this question:
Sample of 1267.
913 don't smoke, so 1267 - 913 = 354 smoke. Then
The estimate for the proportion of Americans over 33 who smoke is 0.28.
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The percentage, if the new cost was 84% of the original is 40%
Let the cost of the item be x.
When the price increased by y%, the new price is:
When the price decreased by the same percentage (i.e. y%), the new price is:
The cost is said to be 84% of the original price.
So, we have:
Divide both sides by x
Apply the difference of two squares
Subtract 1 from both sides of the equation
Cancel out the common factors
Take the square root of both sides
Multiply both sides by 100
Hence, the percentage is 40%
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