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creativ13 [48]
3 years ago
12

Events A and B are such that P(A) = 3 8 , P(B) = 2 7 and P(A ∩ B) = 1 7 Work out P(A|B)

Mathematics
1 answer:
tigry1 [53]3 years ago
3 0

Answer:

\frac{17}{27}

Step-by-step explanation:

Given: Events A and B are such that P(A)=38\,,\,P(B)=27 and P(A∩B) = 17

To find: P(A|B)

Solution:

Probability refers to the chances of occurrence of any event.

An event is described as an outcome of a random experiment.

A random experiment is an experiment for which outcomes cannot be predicted.

P(A|B)= P(A∩B) ÷ P(B) = \frac{17}{27}

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Water flows from a spigot at a rate of 1.6 gallons per minute. How long will it take to fill a 4-gallon bucket?,
lys-0071 [83]

Answer:

Step-by-step explanation:

Given

Rate of flow = 1.6gallons per minute

Amount of gallon bucket = 4gallons

Required

Time taken to fill 4gallon bucket

Rate = Amount of gallon/Time

Time = Amount of gallon/Rate

Time = 4/1.6

Time = 2.5

Hence it will make 2.5minutes to fill 4gallon bucket

3 0
3 years ago
Write four equivalent expressions for 3(6m+3)
Vadim26 [7]
1st. 18m+9
2nd. 3(3+6m)
3rd. 9+18m
4th. 3(6m+3)
5 0
3 years ago
Solve the following system in three variables using linear combinations. 3x−2y+z=0 4x+y−3z=−9 9x−2y+2z=20
goblinko [34]

Answer:

The solution of the system of equations is

x=2,y=7,z=8

Step-by-step explanation:

we have

3x-2y+z=0

isolate the variable z

z=2y-3x ------> equation A

4x+y-3z=-9 ----> equation B

9x-2y+2z=20 ----> equation C                  

substitute equation A in equation B and equation C

4x+y-3(2y-3x)=-9

4x+y-6y+9x=-9

13x-5y=-9 -------> equation D

9x-2y+2(2y-3x)=20

9x-2y+4y-6x=20

3x+2y=20 ----> equation E

Solve the system

13x-5y=-9 -------> equation D

3x+2y=20 ----> equation E

Multiply equation E by 2.5 both sides

2.5*(3x+2y)=20*2.5

7.5x+5y=50 -----> equation F

Adds equation D and equation F

13x-5y=-9

7.5x+5y=50

------------------

13x+7.5x=-9+50

20.5x=41

x=41/20.5

x=2

<u><em>Find the value of y</em></u>

substitute the value of x in the equation E

3(2)+2y=20

6+2y=20

2y=20-6

2y=14

y=7

<u><em>Find the value of z</em></u>

Substitute the value of x and the value of y in equation A

z=2y-3x

z=2(7)-3(2)

z=14-6

z=8

therefore

The solution of the system of equations is

x=2,y=7,z=8

5 0
3 years ago
Complete the equation of the line whose slope is -2 and y intercept is (0,-8)
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Answer:

y=-2x-8

Step-by-step explanation:

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Raymond sings in a choir called the Seaville Songbirds. For every 5 modern songs they learn, the choir leader teaches them 3 cla
lutik1710 [3]

Answer:

prolly 12

Step-by-step explanation:

it is probably 12 thank you

7 0
3 years ago
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