For the data in the table, tell whether y varies directly with x. If it does, write an equation for the direct variation.

Mathematics

1 answer:

allochka39001 [22]3 years ago

4 0

It is direct variation if x/y is a constant.

x/y = 2 / -6.6 = -1/3.3

y/x = -9.9/3 = -3.3

y/x = -6.6/ 2 = -3.3

y/x = -13.2/ 3 = -3.3

y/x = -16.2/ 3 = -3.24

So its not exactly direct variation as the last values is slightly different from the first 3.

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A basketball player participates in a one-and-one free throw situation. The player has a 70% free throw percentage. What is the

julia-pushkina [17]

Answer:

The average number of points this player will get in 100 one-and-one free throw situations is 70.

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either the player makes it, or he does not. The probability of the player making a free throw is independent of other free throws. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$