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
25% of 40 is 10 so it would be $40+10 for the price so that should be 50. Markup=profit/cost*100
Answer:
The x-coordinate of another point is zero
Step-by-step explanation:
step 1
Find the slope between the two given points
The formula to calculate the slope between two points is equal to
we have
substitute in the formula
Simplify
step 2
Find the x-coordinate of another point
we have
(x,-3)
we know that
If the other point is on the line, then the slope between the other point and any of the other two points must be the same
so
Find the slope between the points
Remember that
substitute in the formula
the denominators must be the same


therefore
The x-coordinate of another point is zero
Rounded it is 11.7 cubic cm.
Answer:
5
Step-by-step explanation: