Maybe he lies under his breath right after saying that, then his nose will grow.
Answer:
2.5 mg
Step-by-step explanation:
.5 x 5 = 2.5
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:
d. 463246.7
Step-by-step explanation:
V=4
/3πr^3=4/3·π·48^3≈463246.7
A) 2x-7=13
2x=20
x=10
B) 3x+4=25
3x=21
x=7