Make a table of ordered pairs for the equation. y=12x−3
1 answer:
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Answer: see answers below
<u>Step-by-step explanation:</u>
(i) The first leaf of the tree is: black = 5/9 and white = 4/9
That means that there are 5 black marbles out of 9 total marbles and 4 white marbles out of 9 total marbles.
Total marbles = 9
Black marbles = 5
White marbles = 4
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(ii)
P(B₂/B₁)
The probability that the 2nd marble is black given that the 1st marble was black.
P(W₂/B₁)
The probability that the 2nd marble is white given that the 1st marble was black.
P(B₂/W₁)
The probability that the 2nd marble is black given that the 1st marble was white.
P(W₂/W₁)
The probability that the 2nd marble is white given that the 1st marble was white.
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(iii) <u>Outcomes </u> (iv) <u> Probability </u>
(B, B) (5/9) x (1/2) = 5/18
(B, W) (5/9) x (1/2) = 5/18
(W, B) (4/9) x (5/8) = 5/18
(W, W) <u> (4/9) x (3/8) = </u><u>3/18</u>
Check: Total = 18/18 = 1
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(iv) Dependent
Once the first ball is drawn, there is one less ball for the second draw. Therefore, the second draw is dependent on the first draw.
(a)
The unknown information is the amount of potting soil Emmanuel bought last week.
(b)
40 lb of potting soil is 4 lb more than 3 times p (the amount of potting soil he bought last week).
The equation:
(c)
The solution to the equation is 12.
(d)
Last week Emmanuel bought 12 lb of potting soil.
The unknown information is the amount of potting soil Emmanuel bought last week.
(b)
40 lb of potting soil is 4 lb more than 3 times p (the amount of potting soil he bought last week).
The equation:
(c)
The solution to the equation is 12.
(d)
Last week Emmanuel bought 12 lb of potting soil.