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Reil [10]
3 years ago
9

What is y-8=3(x+1) written in standard form

Mathematics
1 answer:
Stels [109]3 years ago
6 0
Standard form of a linear equation is Ax + By = C, where A, B, C are constants.

So,
y-8 = 3(x+1)
y-8 = 3x + 3

substract 3 from both sides,
y-8-3 = 3x+3-3
y-11 = 3x

substract y from both sides,
y-y-11 = 3x-y
-11 = 3x-y

So, the standard form is 3x-y = -11
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Have Retirement Benefits
charle [14.2K]

Answer:

(a) The probability of the intersection of events "man" and "yes" is 0.55.

(b) The probability of the intersection of events "no" and "man" is 0.10.

(c) The probability of the union of events "woman" or "no" is 0.45.

Step-by-step explanation:

The information provided is:

             Yes    No   Total

Men       275   50     325

Women  150   25      175

Total      425   75      500

(a)

Compute the probability that a randomly selected employee is a man and a has retirement benefits as follows:

P(M\cap Y)=\frac{n(M\cap Y)}{N}=\frac{275}{500}=0.55

Thus, the probability of the intersection of events "man" and "yes" is 0.55.

(b)

Compute the probability that a randomly selected employee does not have retirement benefits and is a man as follows:

P(N\cap M)=\frac{n(N\cap M)}{N}=\frac{50}{500}=0.10

Thus, the probability of the intersection of events "no" and "man" is 0.10.

(c)

Compute the probability that a randomly selected employee is a woman or has no retirement benefits as follows:

P(W\cup N)=P(W)+P(N)-P(W\cap N)=\frac{175}{500}+\frac{75}{500}-\frac{25}{500}=0.45

Thus, the probability of the union of events "woman" or "no" is 0.45.

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3 years ago
Rewrite 1 / 6 barrels over 2 over 5 hours as a unit rate
Akimi4 [234]

Answer:

5/12 barrel/hour

Step-by-step explanation:

 Type this as a fraction:

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

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Division by 2/5 is equivalent to multiplication by 5/2:

1                5

--- barrel * -------------- = 5/12 barrel/hour

6                2  hours

Alternatively, this problem could be done using decimal fractions:

0.1667 barrel

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0.4 hours

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Question 6
kykrilka [37]

Answer:

m=Y2–Y1/X2–X1

m =    \frac{  - 9 - (6)}{1 - ( - 4)}  \\ m =  \frac{ - 15}{5}  =  - 3 \\ y = mx + b \\ y = - 3x + b

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bazaltina [42]
Plug in 83 for y and 3 for x
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83 = 83 so it works
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