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
Circumference= pi × d
So
d= circumference/pi
So to find out the diameter, just do 56.52/pi= 17.99mm (2 d.p.)
Answer:
it is 40
Step-by-step explanation:
because 4 is in the tens place value off that number so then i think the answer is 40
Answer:
3 students
Step-by-step explanation:
There are 30 students in Mrs. Woodward’s class.
of the class has their own cell phone, so

students have their own cell phones.
of those 6 students are allowed to use social media. So,

students are allowed to use social media.
The best angle relationship that describes angles BAC and EAF is supplementary angles
The sum of angle on a straight line is supplementary i.e. they sum up to 180 degrees.
If Angles BAE and FAC are straight angles, it means they are linear pairs and their sum is 180 degrees. Mathematically;
m<BAE + m<FAC = 180degrees
Hence we can conclude that the best angle relationship that describes angles BAC and EAF is supplementary angles
Learn more here: brainly.com/question/22309882