A distribution is binomial when their is only two available choices for the variable of interest.
In option A, X is not a binomial distribution because there are more than two diamonds in a card.
In option B, X is not a binomial distribution because there are more than two clubs in a card.
In option C, X is a binomial distribution because a woman in the sample can either be shorter than 64 inches or not.
In option D, X is a binomial distribution because a girl in the sample can either agree to a date or not.
In option E, X is a binomial distribution because a student in the sample can either be shorter than 64 inches or not.
We would need to figure out the gradient of each "pair", as provided in the image.
The equation of the gradient is found by,
m =

Parallel lines mean they have the same gradient
Perpendicular lines will follow the formula

"None" will apply to those that do not follow either.
Now we calculate the gradient of the pairs given to us by substituting the x and y values.
RS =

=

TU =

=

Therefore, the "pair" RS and TU will be NONE.
ST =

= -1
RU =

=

Therefore, the "pair" ST and RU is also NONE.
Hope this helped! Feel free to ask me if there's any part of the working you don't understand :)
The answer for this problem is B:-6
Answer:
409
Step-by-step explanation:
We first take the number of bilingual students 1200 * 0.3 = 400
Then the number of teachers 60 * 0.15 = 9
Add the two together and you have your answer