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:
The average rate of change is 
Step-by-step explanation:
The average rate of change from x=a to x=b of f(x) is given by;

We want to find the average rate of change of the function represented in the table from x=-2 to x=2.

From the table f(-2)=25 and f(2)=9
The average rate of change from x=-2 to x=2 is



Answer:
More informally: The two's complement of an integer is exactly the same thing as its negation. ... It means "to find the negation of a number (i.e., its two's complement) you flip every bit then add 1"
This question is incomplete. Harlem sells 500 square feet at $750
cost per square foot = 500/750 = $1.50
10% of $1.50 is 0.15
cost per square foot - 10% discount = $1.50 - $0.15 = $1.35
Therefore, Guillens cost for 700 square foot is $1.35 * 700 = $945