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avanturin [10]
3 years ago
13

What is 16x+9=9y-2x

Mathematics
2 answers:
Ilia_Sergeevich [38]3 years ago
4 0


  16x + 9 = 9y -2x
<u> -16x              -16x</u>
           9 = 9y -18x
       <u>-9y    -9y     
</u>  -9y + 9 = -18x
<u>        - 9        -9 </u><u>
</u>    - 9y = -18x -9    (divide each side by -9)

      y = 2x + 1

zloy xaker [14]3 years ago
4 0
Solve for x.

16x+9=9y−2x

Add 2x to both sides.

16x+9+2x=−2x+9y+2x

18x+9=9y

Add -9 to both sides.

18x+9+−9=9y+−9

18x=9y−9

Divide both sides by 18.

18x/18 = 9y−9/18

x =1/2y + −1/2




solve for y.

16x+9=9y−2x

 Flip the equation.

−2x+9y=16x+9

Add 2x to both sides.

−2x+9y+2x=16x+9+2x

9y=18x+9

 Divide both sides by 9.

9y/9=18x+9/9

y=2x+1

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Find the distance between A(1, -1) and B(4, 3).
Greeley [361]

Answer:

<h2>The answer is 5 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  } \\

where

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From the question the points are

A(1, -1) and B(4, 3)

The distance between them is

|AB|  =   \sqrt{ ({1 - 4})^{2} +  ({ - 1 - 3})^{2}  }  \\  =  \sqrt{( { - 3})^{2} +  ({ - 4})^{2}  }  \\  =  \sqrt{9 + 16}  \\  =  \sqrt{25}  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 5 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\

We have the final answer as

<h3>5 units</h3>

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1. Suppose an online retailer has determined that if a potential customer spends more than 5 minutes on their site, that the pro
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Using the binomial distribution, it is found that there is a 0.056 = 5.6% probability that more than 7 will make a purchase.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • There are 12 customers, hence n = 12.
  • The probability of any of them making a purchase is of p = 0.4.

The probability that more than 7 will make a purchase is given by:

P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12).

Hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 8) = C_{12,8}.(0.4)^{8}.(0.6)^{4} = 0.042

P(X = 9) = C_{12,9}.(0.4)^{9}.(0.6)^{3} = 0.012

P(X = 10) = C_{12,10}.(0.4)^{10}.(0.6)^{2} = 0.02

P(X = 11) = C_{12,11}.(0.4)^{11}.(0.6)^{1} \approx 0

P(X = 12) = C_{12,12}.(0.4)^{12}.(0.6)^{0} \approx 0

Then:

P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) = 0.042 + 0.012 + 0.02 + 0 + 0 = 0.056.

0.056 = 5.6% probability that more than 7 will make a purchase.

More can be learned about the binomial distribution at brainly.com/question/24863377

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2 years ago
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