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3 years ago

Solve for x. 2/3(x−7)=−2

Mathematics

2 answers:

zaharov [31]3 years ago

5 0

2/3x - 14/3 = -2
3(2/3x - 14/3) = -2(3)
2x - 14 = -6
2x = -6 + 14
2x = 8
x = 8/2
x= 4

hope this helps :)

JulsSmile [24]3 years ago

4 0

2/3(x-7)=-2
2/3(x-7+7)=-2+7
2/3(x)=5
6x=5
6 6
x=1.2
I'm not sure

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Step-by-step explanation:

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3 years ago

The numbers 1, 2, 3, 4, and 5 are written on slips of paper, and 2 slips are drawn at random one at a time without replacemen

mamaluj [8]

<h2>Answer:</h2>

(a)

The probability is : 1/2

(b)

The probability is : 1/2

<h2>Step-by-step explanation:</h2>

The numbers 1, 2, 3, 4, and 5 are written on slips of paper, and 2 slips are drawn at random one at a time without replacement.

The total combinations that are possible are:

(1,2) (1,3) (1,4) (1,5)

(2,1) (2,3) (2,4) (2,5)

(3,1) (3,2) (3,4) (3,5)

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(5,1) (5,2) (5,3) (5,4)

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(a)

Let A denote the event that the first number is 4.

and B denote the event that the sum is: 9.

Let P denote the probability of an event.

We are asked to find:

P(A|B)

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$P(A|B)=\dfrac{P(A\bigcap B)}{P(B)}$

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$P(A\bigcap B)=\dfrac{1}{20}$

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and

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$P(A|B)=\dfrac{\dfrac{1}{20}}{\dfrac{2}{20}}\\\\i.e.\\\\P(A|B)=\dfrac{1}{2}$

(b)

Let A denote the event that the first number is 3.

and B denote the event that the sum is: 8.

Let P denote the probability of an event.

We are asked to find:

P(A|B)

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$P(A\bigcap B)=\dfrac{1}{20}$

( since, the only outcome out of 20 outcomes is: (3,5) )

and

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( since, there are just two outcomes such that the sum is: 8

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Hence, we have:

$P(A|B)=\dfrac{\dfrac{1}{20}}{\dfrac{2}{20}}\\\\i.e.\\\\P(A|B)=\dfrac{1}{2}$

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