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9966 [12]
2 years ago
9

If p(a)=0.2, p(b)=0.2, and a and b are mutually exclusive, are they independent?

Mathematics
1 answer:
creativ13 [48]2 years ago
5 0

he events are not independent

<h3>How to determine if they are mutually exclusive?</h3>

The given parameters are:

P(A) = 0.2

P(B) = 0.2

The events are mutually exclusive.

So, as have

P(A or B) = P(A) + P(B)

If the events are independent, then

P(A and B) = P(A) + P(B) - P(A or B)

P(A and B) = P(A) * P(B)

So, we have

P(A and B) = 0.2 + 0.2 - 0.2 - 0.2 = 0

P(A and B) = 0.2 * 0.2 = 0.04

The above equations are not equal

Hence, the events are not independent

Read more about probability at:

brainly.com/question/24756209

#SPJ1

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Number 8 and 9 pls, if u answer u get brainlist rank!
mylen [45]

Answer:

8.

Denote the equation : y = ax + b

Use the first 2 values of x and y in table:

3a + b = 21

5a + b = 35

Subtract the 2 equations:

=> 2a = 14 => a = 7 => b = 21 - 3 x 7 = 0

=> The solution is  y = 7x

9.

Denote the equation : y = ax + b

Use the first 2 values of x and y in table:

5a + b = 17

10a + b = 22

Subtract the 2 equations:

=> 5a = 5 => a = 1 => b = 17 - 5 x 1 = 17 - 5 = 12

=> The solution is  y = x + 12

Hope this helps!

:)

8 0
3 years ago
Can someone tell me step by step how to solve this?
sasho [114]

Answer:

Step-by-step explanation:

I take it that this is some sort of ratio.  Start by solving the brackets on the left.

Brackets: 1/3 - 1/10

Brackets: 10/30 - 3/30

Brackets: 7/30

Brackets^2: 49/900

Brackets^2 - 1/5: 49/900  - 180/900

Brackets^2 - 1/5: -131/900

(2/5)^2 = 4/25

The way this read, it should be

\frac{\frac{-131}{900} }{\frac{4}{25} }

Which when you invert and multiply becomes

\frac{-131}{900} * \frac{25}{4}

which finally becomes

\frac{-131}{144}

7 0
3 years ago
Given the points A(3, 4) and B (6, 10), find the
Dvinal [7]

Answer:

P (5 , 8)

Step-by-step explanation:

P (x,y) partition A (x₁ , y₁) B (x₂ , y₂) into ratio AM:MB = a:b = 2:1  ... a=2 , b=1

x = (bx₁ + ax₂) / (a+b)

  = (1 * 3 + 2 * 6) / (2 + 1)

  = 15/3

  = 5

y = (by₁ + ay₂) / (a+b)

  = (1 * 4 + 2 * 10) / (2 + 1)

  = 24/3

  = 8

P (5 , 8)

8 0
3 years ago
Convert to standard form y=2(x+3)(x-6)
Nataly_w [17]

Answer:

the answer is 2x²-6x-36

3 0
3 years ago
Cameron made 1 loaf of bread. His family ate 4/6 of the loaf of bread. How much of the loaf of bread remains?/
nlexa [21]

Answer:

2/6

Step-by-step explanation:

because 4/6 is eaten so that means 2/6 is left to eat

7 0
3 years ago
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