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saw5 [17]
3 years ago
5

Given P(A) = 0.56, P(B) = 0.45 and P(B|A) = 0.7, find the value of

Mathematics
2 answers:
miskamm [114]3 years ago
8 0

Answer:

P(A and B) = P(AnB)

Step-by-step explanation:

P( \frac{A}{B} ) =  \frac{P(AnB)}{P(B)}  \\from \: bayes \: theorem \\  P(AnB) = P(B) \times P( \frac{A}{B}) \\  = 0.45 \times 0.7 \\  = 0.315

IrinaK [193]3 years ago
7 0

Answer: 0.392

Step-by-step explanation:

So P(A)xP(B|A)= P(AnB)

Plug in

0.56x0.7=0.392

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3 years ago
Use mental math to determine the solution to x - 3 = 10 .
DanielleElmas [232]
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Read 2 more answers
One number is larger than another by 9. If the greater number is increased by 10, and the lesser number is tripled, the sum of t
kkurt [141]

Answer:

The larger number is -6, the smaller number is -15

Step-by-step explanation:

We have two numbers, a and b.

We know that one number is larger than another by 9.

Then we can write:

a = b + 9

then a is larger than b by 9 units.

If the greater number is increased by 10 (a + 10) and the lesser number is tripled (3*b), the sum of the two would be -41:

(a + 10) + 3*b = -41

So we got two equations:

a = b + 9

(a + 10) + 3*b = -41

This is a system of equations.

One way to solve this is first isolate one variable in one of the two equations:

But we can see that the variable "a" is already isolated in the first equation, so we have:

a = b + 9

now we can replace that in the other equation:

(a + 10) + 3*b = -41

(b + 9) + 10 + 3*b = -41

now we can solve this for b.

9 + b + 10 + 3b = -41

(9 + 10) + (3b + b) = -41

19 + 4b = -41

4b = -41 -19 = -60

b = -60/4 = -15

b = -15

then:

a = b + 9

a = -15 + 9 = -6

a = -6

7 0
2 years ago
Robert wears a suit o work every day. In his closet, he has 3 blazers, 5 button-up shirts, 12 bow ties, 6 pairs of pants, and 3
mars1129 [50]

Answer: 3

Step-by-step explanation:

He can put 3 different outfits together

3 0
3 years ago
Based on the graph, what are the solutions of x3 + x2 -<br> 9x – 9 = 0?
AleksAgata [21]

The solutions of given equation are -3, -1 and 3.

5 0
3 years ago
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