Answer:
27.98% probability that less than half of them (3 or fewer) would support the Republican candidate
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they support the Republican candidate, or they do not. The people are chosen at random, which means that the probability of them supporting the republican candidate is independent from other people. So we use the binomial probability distribution to solve this problem.
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.
In this problem we have that:
The Republican candidate is supported by 54%. This means that 
Suppose you run a poll of 8 people (randomly choose 8 people). What is the probability that less than half of them (3 or fewer) would support the Republican candidate?
This is
when
.
So

In which





So

27.98% probability that less than half of them (3 or fewer) would support the Republican candidate
Answer:
for the first graph for the side of y it's five
Step-by-step explanation:
because no matter what numbers it is the difference is 5
First, let x or any variable represent the number of paintings Kate initially has. After selling 12 of it, her paintings now becomes only x - 12. Then, she purchased 7 more making the number of her paintings become x - 12 + 7 = x - 5. This number tantamount to 21.
x - 5 = 21 ; x = 26
Thus, Kate initially had 26 paintings.
Answer:
The slope is 33/6
Step-by-step explanation:
The slope is 33/6 becuase you do y2-y1/x2-x1 so 44-11/8-2= 33/6
School 1:
16 boys
Boys: Girls = 1:2
Girls= Boys x2
Girls = 32
Total students= girls + boys = 16 + 32 = 48
All 5 schools sent the same number of students
48 x 5 = 240
Answer = 240