If two distinct positive divisors of 64 are randomly selected, what is the probability that their sum will be less than 32?
1 answer:
Answer: The required probability is
Step-by-step explanation:
Since we have given that
Divisors of 64= 1,2,4,8,16,32,64
Sum would be less than 32
Since it has 7 divisors in total.
If we select any two distinct divisors from first five divisors, the sum will always less than 32.
So, the probability that their sum will be less than 32 is given by
Hence, the required probability is
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Given:
The formula for total cost is
where, p is the price of item and s is the sales tax rate (as a percent).
You pay $14.77 for an item priced at $14.
To find:
The the tax rate.
Solution:
You pay $14.77 for an item priced at $14. So,
Total cost (T) = $14.77
Price of item (p) = $14
Putting T=14.77 and p=14 in given formula, we get
Multiply both sides by 100.
Divide both sides by 14.
Therefore, the tax rate is 5.5%.