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3 years ago

1. Solve proportion 12/15 = 18/b

1 answer:

3 0

We solve the as follows:

1. Solve proportion 12/15 = 18/b
( 12/15 = 18/b ) b
( 12b/15 = 18 ) 15/12
b = 18(15/12)
b = 45/2

2. Solve equations

A. -x + 4 = x +6
-x + 4 - x = x +6 - x
-2x + 4 - 4 = 6 - 4
-2x = 2
x = -1

B. 5n + 7 =7(n+1) -2n
5n + 7 = 7n + 7 - 2n
5n -7n + 2n = 7 - 7
0 = 0

C. -4(p+2) + 8 = 2(p-1) - 7p + 15
-4p - 8 + 8 = 2p - 2 - 7p + 15
-4p + 7p - 2p = -2 + 15 + 8 - 8
p =13

3. Solve a/b x - c = 0 for x
a/b x - c = 0
( a/b x = c ) b/a
x = bc / a

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First, let us write the expression out mathematically

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The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is r

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Answer: the probability that the class length is between 50.8 and 51 min is 0.1 ≈ 10%

Step-by-step explanation:

Given data;

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hence, height = 1 / ( 52.0 - 50.0) = 1 / 2

now the probability that the class length is between 50.8 and 51 min = ?

P( 50.8 < X < 51 ) = base × height

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= 0.2 × 0.5

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3 years ago

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Answer:

Step-by-step explanation:

"y varies inversely with x" means:

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10 = k / 5

k = 50

y = 50 / x

When x = 2:

y = 50 / 2

y = 25

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