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svetoff [14.1K]
3 years ago
15

The scatterplot shows the data collected from a survey of 19 students, in which they were asked how many hours per week they stu

dy (x) and what their GPAs are (y). What relationship, if any, is shown between the two sets of data?
A) There is no correlation between them.
B) There is a positive correlation between them.
C) There is a negative correlation between them.
D) There is an indirect correlation between them.
Mathematics
2 answers:
aniked [119]3 years ago
8 0

Answer:

B.

Step-by-step explanation:

konstantin123 [22]3 years ago
3 0

Answer:

The Answer is B) There is a positive correlation between them.

Step-by-step explanation:

There is a positive correlation between them. Since the points on the graph tend to rise from left to right, the correlation is positive.

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A basketball player has made​ 70% of his foul shots during the season. If he shoots 3 foul shots in​ tonight's game, what is the
yulyashka [42]

Answer:

There is a 34.3% probability that he makes all of the​ shots.

Step-by-step explanation:

For each foul shot that he takes during the game, there are only two possible outcomes. Either he makes it, or he misses. This means that 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.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

n = 3, p = 0.7

What is the probability that he makes all of the​ shots?

This is P(X = 3).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{3,3}.(0.7)^{3}.(0.3)^{0} = 0.343

There is a 34.3% probability that he makes all of the​ shots.

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