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neonofarm [45]
4 years ago
6

Which variable expression represents the word phrase? the sum of 12 and the quotient of 9 and a number

Mathematics
2 answers:
iris [78.8K]4 years ago
6 0
"Sum" tells us it's an addition problem:

One term is 12 and the other is 9/x

SO

The expression is:
12+9/x
Evgesh-ka [11]4 years ago
3 0

Answer:

The required expression is 12+\frac{9}{y}.

Step-by-step explanation:

Consider the provided phrase.

The sum of 12 and the quotient of 9 and a number

Let the number is y and the quotient of 9 and a number can be written as:

\frac{9}{y}

Thus, the sum of 12 and the quotient of 9 and a number can be written as:

12+\frac{9}{y}

Hence, the required expression is 12+\frac{9}{y}.

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What is the equation of the line that passes through the point (-2,0) and has a slope of -2
Tcecarenko [31]

Answer:

y = -2x -4

Step-by-step explanation:

The equation of a line is y = mx + b, where m is the slope of the line, and b is the y-intercept.  We are told that the slope of the line is -2, so we can start with

y = mx + b

y = -2x + b

We can figure out the value of b by plugging in the coordinates of the point given (-2, 0)

0 = -2(-2) + b

0 = 4 + b

Subtract 4 from both sides of the equation

-4 = b

Then plug that value of b back into the equation above:

y = -2x + (-4) or y = -2x -4

6 0
3 years ago
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S (3, -5), T (0, -2), U (-3, -5)<br><br> scale factor = 4<br><br> S' = <br><br> T' = <br><br> U'=
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S’(12,-20) T’(0,-8) U’(-12,-20)
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3 years ago
work for a publishing company. The company wants to send two employees to a statistics conference. To be​ fair, the company deci
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Answer:

Step-by-step explanation:

Here is the complete question.

Dominique, Marco, Roberto , and John work for a publishing company. The company wants to send two employees to a statistics conference. To be fair, the company decides that the two individuals who get to attend will have their names drawn from a hat. This is like obtaining a simple random sample of size 2. (a) Determine the sample space of the experiment. That is, list all possible simple random samples of size n = 2. (b) What is the probability that Dominique and Marco attend the conference? (c) What is the probability that John attends the conference?  ​(d) What is the probability that John stays​ home?

Since there are four employees to select the two to send from. then for us to get the sample space for the experiment we need to merge all possible two employees and represent them as set.

Let D = Dominique, M = Marco, R = Roberto and J = John

a) The sample space for the experiment is the total number of possible outcomes that we can have. It is as given below

S = 4C2 = 4!/(4-2)!2! (Selecting 2 out of 4 employees)

Total sample space = 4!/2!2!

Total sample space = 4*3*2!/2!2

Total sample space = 12/2 = 6

The sample space are S = {DM, DR, DJ, MR, MJ, RJ}

b) Probability is the ratio of number of event to the sample space.

P = n(E)/n(S)

Given n(S) = 6

n(E) is the event of Dominique and Marco attending the conference.

E = {DM}

n(E) = 1

P(D and M) = 1/6

Hence  the probability that Dominique and Marco attend the conference is 1/6

c) For John to attend the conference, the event outcome will be given as;

E = {DJ, MJ, RJ}

n(E) = 3

n(S) = 6

Probability for John to attend the conference is 3/6 = 1/2

d) Probability that John stays at home = 1 - Prob (John attends the conference)

Probability that John stays at home = 1 - 1/2

Probability that John stays at home = 1/2

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Read and write the number in two other forms 304,001
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