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3 years ago

Complete the table for the given rule. Rule: y= 3x

Mathematics

1 answer:

Ratling [72]3 years ago

6 0

Answer:

x=5

y=30

x=15

Step-by-step explanation:

y=3x=15, then x=15/3, x=5

x=10, then y=3x=3*10=30

y=3x=45, then x=45/3, x=15

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Suppose that each time Giannis Antetokounmpo shoots a free throw, he has a 3/4 probability of success. If Giannis shoots three f

GREYUIT [131]

Answer:

84.38% probability that he succeeds on at least two of them

Step-by-step explanation:

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

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 combinations 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.

He has a 3/4 probability of success.

This means that $p = \frac{3}{4} = 0.75$

Giannis shoots three free throws

This means that $n = 3$

What is the probability that he succeeds on at least two of them

$P(X \geq 2) = P(X = 2) + P(X = 3)$

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

$P(X = 2) = C_{3,2}.(0.75)^{2}.(0.25)^{1} = 0.4219$

$P(X = 3) = C_{3,3}.(0.75)^{3}.(0.25)^{0} = 0.4219$

$P(X \geq 2) = P(X = 2) + P(X = 3) = 0.4219 + 0.4219 = 0.8438$

84.38% probability that he succeeds on at least two of them

6 0

3 years ago

What fraction of a cup of vegetable oil should julia use to make 1\2 of a batch of salad dressing

anastassius [24]

A) 3/8. You cut 3/4 in half by making the bottom number twice as big and get 3/8

5 0

3 years ago

Read 2 more answers

what is the length of the diagonal of a non-regulation tennis court with length 20 feet and width 15 feet?

Semmy [17]

Answer:

25 feet

Step-by-step explanation:

Basically that non-regulation tennis court is a rectangle. You want to know the length of the diagonal. If you draw it on paper, you'll see that this then become 2 triangles... of which you have 2 sides, and are seeking the hypotenuse. So....

H² = A² + B²

H² = 20² + 15² = 400 + 225 = 625

H = 25 feet.

6 0

3 years ago

Read 2 more answers

Substitutions <br> y=x+4<br> y=3x+0

cluponka [151]

Answer:

x = 2

Step-by-step explanation:

since both equal y, you can set them equal to each other