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
He answered 8 questions incorrectly. 2*8=16 100-16=84
Answer: y=7,x=3
Steps:
y = 2x + 1
3x + y = 16
Substitute y = 2x + 1
3x + 2x + 1 = 16
Simplify
5x+1=16
Isolate x for 5x + 1 = 16: x = 3
For y = 2x + 1
Substitute x = 3
y = 2 · 3 + 1
Simplify
y = 7
The solutions to the system of equations are:
y = 7, x = 3
Hope This Helps!
Answer:
Marion bought 6 frog lures and 8 lizard fishing lures.
Step-by-step explanation:
Let 
represent frog lures and 
represent lizard lures.
The total packages Marion bought is
If she bought frog lures in packages of 4 and lizard lures in packages of 6 for a total of 72 lures, then
We make the subject in equation 1 and put it into equation 2 to get;
We put equation 3 into equation 2 to get;
We expand the bracket to get;
We put into equation 3 to get;
Therefore Marion bought 6 frog lures and 8 lizard fishing lures.
Answer: <DEF & <JKL
Step-by-step explanation:
they equal 90 degrees
complementary angles equal 90 degrees
