A pendulum travels 30 inches on it’s first swing. During each of its subsequent swings, its travels 90 percent of the previous s
wing. I didn’t see all parts to the question on here so I did it.
1 answer:
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Store A will be the better buy.
The price will be $53.70 after sales tax at store A.
Step-by-step explanation:
Price of Jacket at store A = $59.60
Discount = 15%
Discount Amount =
Discount Amount =
Price after discount = Original price - Discount amount
Price after discount = 59.60 - 8.94 = $50.66
Price of Jacket at store B = $50.99
The price at store A becomes less than store B after discount, therefore, buying from store A is better.
Sales tax = 6%
Sales tax amount =
Sales tax amount =
Price after sales tax = Discount price at store A + Sales tax amount
Price after sales tax = 50.66 + 3.0396 = $53.6996
Rounding off to nearest hundredth;
Price after sales tax = $53.70
The price will be $53.70 after sales tax at store A.
Keywords: percentage, addition
Learn more about percentages at:
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Answer:
a) 0.2725
b) 0.7275
c) 0.8948
Step-by-step explanation:
This is a binomial distribution probability problem. The formula is:
Where
n is the number of trials [here we are taking 8 person, so n = 8]
x is what we are looking for [in the problem]
p is the probability of success [ 15%, so p = 0.15
q is the probability of failure [q = 1-p = 0.85]
Now,
a)
We are looking for "no one" did fling, so x = 0
Let's put into formula and find out the probability:
So, the probability that no one has done a one-time fling is 0.2725
b)
Atleast 1 person means P(x ≥ 1).
This can be found by:
P(x ≥ 1) = 1 - P(x=0) = 1 - 0.2725 = 0.7275
THus, Probability that at least one person has done a one-time fling is 0.7275
c)
No more than 2 people means P (x≤2).
This is essentially
P ( x ≤ 2 ) = P(x=0) + P(x=1) + P(x=2)
P ( x = 0 ) is found in part (a), which is 0.2725
P (x = 1 ) and P(x=2) can be found using formula:
and
Thus,
P ( x ≤ 2 ) = P(x=0) + P(x=1) + P(x=2) = 0.2725 + 0.3847 + 0.2376 = 0.8948