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katrin2010 [14]
4 years ago
8

Please help, I've attached the picture and the answer choices.

Mathematics
1 answer:
pogonyaev4 years ago
6 0
Slope = (-2 + 4)/(-2-2) = 2/-4 = -1/2

y = mx + b
so
b = y - mx
b = -2 -(-1/2)(-2)
b = -2 - 1
b = - 3

equation
y = -1/2x - 3

answer is B.
y = -1/2x - 3
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(x + 4)( x + 7) simplified
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Answer:

x² +11x +28

Step-by-step explanation:

(x +4) (x+7)

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then take the 4 and multiply it by the x and the 7 which gives you 4x + 28

add all like terms

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Miley drove 288 miles in 4 1/2 hours. What was Miley's average speed in miles per hour?
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Teen Court is a juvenile diversion program designed to circumvent the formal processing of first-time juvenile offenders within
valentinak56 [21]

Answer:

Z-statistic = 1.4017 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

The data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of Department of Juvenile Services individuals

Step-by-step explanation:

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

Given first sample size (n₁ ) = 57

Of the 57 Teen Court individuals, 18 subsequently recidivated during the 18-month follow-up period

First sample proportion

                                   p^{-} _{1} = \frac{x_{1} }{n_{1} } = \frac{18}{57} =0.3157

Second sample proportion

                               p^{-} _{2} = \frac{x_{2} }{n_{2} } = \frac{11}{54} =0.2037

Null Hypothesis : p₁⁻ = p₂⁻

Alternative Hypothesis :  p₁⁻ ≠ p₂⁻

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

Test statistic

         Z = \frac{p_{1} ^{-} -p^{-} _{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }

        where

                   P = \frac{n_{1}p^{-} _{1} +n_{2} p^{-} _{2}  }{n_{1} +n_{2} }

                   

              P = \frac{57 X0.3157+0.2037X54}{54+57} = 0.2612

             Q = 1 - P = 1 - 0.2612 = 0.7387

         

             Z = \frac{0.3157-0.2037}{\sqrt{0.2612 X0.7387 (\frac{1}{57} +\frac{1}{54} )} }

           Z  =    1.4017

Level of significance ∝ =0.05

The tabulated value Z₀.₀₅ = 1.96

Z-statistic = 1.4017 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

The data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of Department of Juvenile Services individuals

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Step-by-step explanation:

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