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Leviafan [203]
4 years ago
10

Write the equation of the line given the slope and the y-intercept. Type your answer in the box without skipping any spaces. m =

2, y-intercept (0, 3)
Mathematics
1 answer:
Over [174]4 years ago
7 0

The equation of a line given the slope and y-intercept is given as;

             m(x-x₁) = (y-y₁)

∴equation of line with m = 2 and y-intercept = (0,3) =

     2(x - 0) = (y - 3)

 = 2x - 0 = y - 3

  making y the subject obtains y = 2x + 3.

so, equation of the line: y = 2x + 3.

 

  

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A spinner is divided into six equal-sized sectors labeled 1 through 6. Dwayne spins this spinner 12 times. Let X
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Answer:

b) μ = 2 and σ = 1.29

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given that the A spinner is divided into six equal-sized sectors labelled 1 through 6</em>

<em>Given that the probability of labelled '1'</em>

<em>                       </em>p = \frac{1}{6} =0.16

<em>                      q = 1-p =  1- 0.16 = 0.84</em>

Let 'X' be a random variable in binomial distribution

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      μ = n p

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<em>The mean of the binomial distribution  = 2</em>

<u><em>Step(ii):-</em></u>

The standard deviation of X

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               σ = \sqrt{12(0.16)(0.84}

                  σ = 1.269

<em>The standard deviation of the binomial distribution</em>

<em>                </em> σ = 1.269

<u><em></em></u>

<u><em></em></u>

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