Answer:
A: 4/5
Step-by-step explanation:
The equation for proportionality is y = kx, where k is the constant of proportionality. That is what you're looking for in this question.
So in y = 4/5x, 4/5 is the constant of proportionality/unit rate for the proportional relationship.
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
To find how long it would take, you must divide the total amount of gallons of water in the pond by the amount of gallons drained per hour. This would translate to:
4290 ÷ 78
Which would give you the total amount of hours needed to completely drain the pool, aka the answer:
4290 ÷ 78 = 55
The total amount for food and drinks is: $51.26
The 7% tax is: 51.26 * 0.07 = $3.5882
The 20% tip is: 51.26 * 0.2 = $10.252
Your total amount is: 51.26 + 3.5882 + 10.252 = $65.1002 or rounded $65.10
Hope this helped!
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