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pochemuha
3 years ago
11

Solve systems by substitution method x + y = 12 3x - y = 20

Mathematics
1 answer:
labwork [276]3 years ago
3 0

Step-by-step explanation:

x+y=12

3×+y=20

×=12-y

3 (12-y)+y=20

36-3y+y=20

36-4y=20

-4y=20-36

-4y= -16

y =16÷4

y=4

×+y=12

×+4=12

×=12-4

×=8

therefoer;y=4,x=8

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Step-by-step explanation:

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For two events and , the probability that occurs is 0.8, the probability that occurs is 0.4, and the probability that both occur
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Answer:

P(B|A)=0.25  , P(A|B) =0.5

Step-by-step explanation:

The question provides the following data:

P(A)= 0.8

P(B)= 0.4

P(A∩B) = 0.2

Since the question does not mention which of the conditional probabilities need to be found out, I will show the working to calculate both of them.

To calculate the probability that event B will occur given that A has already occurred (P(B|A) is read as the probability of event B given A) can be calculated as:

P(B|A) = P(A∩B)/P(A)

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To calculate the probability that event A will occur given that B has already occurred (P(A|B) is read as the probability of event A given B) can be calculated as:

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7 0
4 years ago
A rectangular garden measures 33 ft by 46 ft. Surrounding (and bordering) the garden is a path 2 ft. Find the area if this other
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Answer:

332 ft²

Step-by-step explanation:

A rectangular garden measures 33 ft by 46 ft. Surrounding (and bordering) the garden is a path 2 ft. Find the area of this path. Be sure to include the correct unit in your answer.

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The area of the rectangular garden = length * breadth = 33 ft. * 46 ft. = 1518 ft²

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Area of the path = 1850 ft² - 1518 ft.² = 332 ft²

5 0
3 years ago
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