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3 years ago

Find the equation of the line parallel to y = x-3 that also intersects the point (3, -2).

Mathematics

2 answers:

sweet-ann [11.9K]3 years ago

7 0

Answer:

y=1x-3

-2=1*3+b

-2=3+b

-3 both sides

-5=b

y=x-5

ahrayia [7]3 years ago

6 0

Answer:

I think the equation is y = x - 5

Step-by-step explanation:

i graphed it, correct me if i'm wrong.

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Roll one fair, six-sided die, numbered 1 through 6. Let A be the event you will roll an even number. Let B be the event you will

11111nata11111 [884]

Answer:

a) not independent

b) not mutually exclusive

Step-by-step explanation:

Given:

- A 6 sided die is rolled

- Event A is rolling an even number

- Event B is rolling a prime number

Find

- (a) Are A and B independent events?

- (b) Are A and B mutually exclusive events?

Solution:

- We will find the probability of each event:

set(Even number: A) = {2, 4, 6} = 3 outcomes

set(Prime number: B) = {2 , 3, 5} = 3 outcomes

- The probabilities are:

P(A) = 3/6 = 0.5

P(B) = 3/6 = 0.5

- For Event A and B to be independent then the following condition must match:

P ( A & B ) = P(A)*P(B)

set (A&B) = {2} = 1 outcome

P(A&B) = 1/6

1 / 6 = 0.5*0.5

1/6 = 0.25 ...... NOT INDEPENDENT

- For Event A and B to be mutually exclusive then the following condition must match:

P(A&B) = 0

P(A&B) = 1/6

Hence, we can say the events are NOT MUTUALLY EXCLUSIVE

7 0

3 years ago

Item 19 A cylindrical container of four rubber balls has a height of 20 centimeters and a diameter of 5 centimeters. Each ball i

Lady_Fox [76]

First you need to find the volume of the cylinder. Then find the volume of all 4 rubber balls (spheres). Subtract the cylinder's volume by the spheres' volumes.

Volume of cylinder: πr²h
π2.5²(20) = 392.7 cm³

Volume of sphere: 4/3πr³
4/3π2.5³ = 65.45 cm³

392.7 - 65.45 = 327.25

The amount of space in the container unoccupied by the rubber balls is 327 cm³.

7 0

3 years ago

Does anyone know how to solve?

jek_recluse [69]

Basically you canceling out and your answer is R= 1/2

7 0

2 years ago

Read 2 more answers

What is the rate of change for both of these tables. 25 pts

Rudiy27

Answer:

For the table on the left the rate of change is $22.8$