Answer:
Volume
12,930.795
Surface area
3,694.513
Step-by-step explanation: For more information on this question research the formulas so you can figure this out yourself.
Have a Ni(e Day (nice)
Answer:
Its the 3 one
Step-by-step explanation:
0.03(3-0.5)
0.03(2.5)
0.075
Answer:
0.3891 = 38.91% probability that only one is a second
Step-by-step explanation:
For each globet, there are only two possible outcoes. Either they have cosmetic flaws, or they do not. The probability of a goblet having a cosmetic flaw is independent of other globets. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
17% of its goblets have cosmetic flaws and must be classified as "seconds."
This means that 
Among seven randomly selected goblets, how likely is it that only one is a second
This is P(X = 1) when n = 7. So


0.3891 = 38.91% probability that only one is a second
Answer:
(Lower limit, Upper limit) = (0.10, 0.14)
(Lower limit, Upper limit) = (10%, 14%)
Step-by-step explanation:
Total number of cars = 150
Cars that failed the safety inspection = 18
The proportion is given by
p = 18/150
p = 0.12
p = 12%
The confidence interval is given by
p ± margin of error
Where margin of error is 0.02
0.12 ± 0.02
Lower limit = 0.12 - 0.02
Lower limit = 0.10
Lower limit = 10%
Upper limit = 0.12 + 0.02
Upper limit = 0.14
Upper limit = 14%
(Lower limit, Upper limit) = (0.10, 0.14)
(Lower limit, Upper limit) = (10%, 14%)