Answer:
The answer is B or pi/2 to pi radians.
Step-by-step explanation:
Answer:
(–1, –6)
Step-by-step explanation:
Given that S(3, –5) was translated to S'(–4, 1), the transformation rule is (x-7, y+6). Then, the coordinates of square RSTU are:
R'(–8, 1) -> (-8+7, 1-6) -> R(-1, -5)
S'(–4, 1) -> (-4+7, 1-6) -> S(3, -5)
T'(–4, –3) -> (-4+7, -3-6) -> T(3, -9)
U'(–8, –3) -> (-8+7, -3-6) -> U(-1, -9)
The point (–1, –6) lies on the segment RU
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
Use the distance formula:

(6, -2), (-2, -12)

⇒


⇒


= 12.8
The distance between points T and U is
12.8 units.