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fgiga [73]
4 years ago
10

A and B are two events.

Mathematics
1 answer:
svlad2 [7]4 years ago
5 0

Answer:

A and B are not independent events because P(A|B)≠P(A)

is the correct answer.

Step-by-step explanation:

If A and B are independent then we must have

P(AB) = P(A) P(B) and also

P(A/B) = P(A)

We are given that

A and B are two events.

Let P(A)=0.5 , P(B)=0.25 , and P(A and B)=0.15 .

P(A/B) = P(AB)/P(B) = 0.15/0.5 = 0.3

i.e. P(A/B) is not equal P(A)

Similarly P(B/A) = P(AB)/P(A) = 0.15/0.25 = 0.6 not equal to P(B)

Hence A and B are not independent.


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the circular ripple caused by dropping a stone in a pond is increasing in area at a constant rate of 20 square meters per second
mojhsa [17]

Answer:

  2/π ≈ 0.637 m/s

Step-by-step explanation:

The rate of change of area with respect to time is ...

  A = πr²

  dA/dt = 2πr·dr/dt

Filling in given values in the above equations, we can find r and dr/dt.

  25π = πr²   ⇒   r = 5

  20 = 2π·5·dr/dt

  dr/dt = 20/(10π) = 2/π . . . . meters per second

The radius is increasing at the rate of 2/π ≈ 0.637 meters per second.

4 0
3 years ago
What is the circumference of a circle with a radius of 0.8 m? A. 0.64*pi m B. 0.8*pim C. 1.6*pi m D. 2.56*pi m
Paraphin [41]
C = 2πr
C = 2(3.14)(0.8)
C = 2(2.512)
C = 5.024 m

The answer is C.
7 0
3 years ago
1. (SLO) Simplify the expression: 6(b-7)
Sav [38]

1 → B

multiply each term in the parenthesis by the 6 outside

6(b-7) = 6b - 42

2 → D

multiply each term in the parenthesis by the 3 outside

3(4x+6y+2) = 12x+18y+6

3 → A

the value outside the parenthesis is -1, hence each term inside is multiplied by -1

-1(6x+5y) = -6x -5y


3 0
4 years ago
Read 2 more answers
I need to know the answer to part A and B
Viefleur [7K]
Sorry I cannot help you I do not know the answer
7 0
3 years ago
I need HELP ASAP! It’s due today
Vikki [24]

Answer:

28 cubs

Step-by-step explanation:

Since one and a half bear produces one and a half cub, then 6 bears will produce 6 cubs in one and a half days.

We need to find 7 days, though but we have the rate for six bears for 1.5 days which 6 bears one a half day.

What is the rate for a day?

6/1.5 =

6 bears produce 4 cubs a day.

Now just do 4 x 7

4 x 7 = 28

Therefore, 6 bears produce 28 cubs in 7 days.

8 0
3 years ago
Read 2 more answers
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