Ask question

Ask question

All categories

3 years ago

15

Consider two events such that P(A)=1/4, P(B)=2/5, and P(A∩B)=1/10. Are events A and B independent events?

1 answer:

Ray Of Light [21]3 years ago

3 0

Yes, they are independent. First of all, we know that P(A) = 1/4, P(B) = 2/5, and P(A and B) = 1/10. To know if two events are independent, the following questions must be true: P(A)*P(B) = P(A and B). So since (1/4)*(2/5) = 2/20 which equals 1/10, these events are independent

You might be interested in

Alfonso and Lucas are 238 miles apart, traveling towards each other. If Lucas travels 21 mph and Alfonso travels 13 mph how long

Alex

Lucas equation for his location is x(t) = 13t.

Alfonso's equation is x(t) = 238 - 21t

If you equate these, you get:

13t = 238 - 21t =>

34t = 238

t = 7

So after seven hours they meet.

7 0

3 years ago

I need help dont have a lot of time left

Nikolay [14]

Answer:

125 g

Step-by-step explanation:

mg is so little for an orange and kg is too large

so answer is 125 g.

3 0

3 years ago

Read 2 more answers

Fin the area of the polygons

german

Answer:45

Step-by-step explanation:

First, you need to calculate the area of the square.

(LxW)= 25.

Then, calculate the area of the triangle

(1/2BH)=5x(8/2)=5x4=20

Now, just add 20+25= 45

Please mark me brainliest :)

5 0

2 years ago

F(x)=x^2-1 <br> G(x)=x-1 <br> find (f+g)(10).

WARRIOR [948]

<h2>Adding Functions</h2><h3>Answer:</h3>

$(f +g)(10) = 108$

<h3>Step-by-step explanation:</h3>

Before we can solve for $(f +g)(10)$ , we need to know how $(f +g)(x)$ is defined.

$(f +g)(x) = f(x) +g(x) \\ (f +g)(x) = (x^2 -1) +(x -1) \\ (f +g)(x) = x^2 -1 +x -1 \\ (f +g)(x) = x^2 +x -2$

We can now solve for $(f +g)(10)$ :

$(f +g)(10) = (10)^2 +(10) -2 \\ (f +g)(10) = 100 +10 -2 \\ (f +g)(10) = 108$

6 0

2 years ago

19) Solve the inequality. 7x − 9 > 2x + 6 A) x > 3 B) x > 3 5 C) x > −3 D) x > − 3 5

Marianna [84]

Answer:

B

Step-by-step explanation:

Given

7x - 9 > 2x + 6 ( subtract 2x from both sides )

5x - 9 > 6 ( add 9 to both sides )

5x > 15 ( divide both sides by 3 )

x > 3 → B

8 0

3 years ago

Read 2 more answers