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pav-90 [236]
2 years ago
11

Please help i will mark brainliest

Mathematics
1 answer:
Art [367]2 years ago
7 0

Answer:

The coordinates of mage of L(5, 10) will be: (11, 3)

So, the 4th (last) option is correct.

Step-by-step explanation:

As we know that Translation means how much a point is moved to the left/right and up/down.

  • Given the translation maps the point J(1, 4) onto K(7, -3).

As the x-coordinate of the image point K(7, -3) is 7 which is 6 units right to the original point J(1, 4).

Also, the y-coordinate of the image point K(7, -3) is -3 which is 7 units down to the original point J(1, 4)

so it means the translation basically implies that

(x, y) → (x + 6, y - 7)

Hence, the coordinate of the image of L(5, 10) can also be determined by

using the same rule.

(x, y) → (5 + 6, 10 - 7) = (11, 3)

Therefore,  the coordinates of mage of L(5, 10) will be: (11, 3)

So, the 4th (last) option is correct.

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Step-by-step explanation:

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

<em>Given first random sample size n₁ = 500</em>

Given  Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer.

<em>First sample proportion </em>

<em>                              </em>p^{-} _{1} = \frac{65}{500} = 0.13

<em>Given second sample size n₂ = 700</em>

<em>Given a sample of 700 men (unrelated to the women) ages 18-29 found that 133 men said that they had the most say when purchasing a computer.</em>

<em>second sample proportion </em>

<em>                              </em>p^{-} _{2} = \frac{133}{700} = 0.19

<em>Level of significance = α = 0.05</em>

<em>critical value = 1.96</em>

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

<em>Null hypothesis : H₀: There  is no significance difference between these proportions</em>

<em>Alternative Hypothesis :H₁: There  is significance difference between these proportions</em>

<em>Test statistic </em>

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

<em>where </em>

<em>         </em>P = \frac{n_{1} p^{-} _{1}+n_{2} p^{-} _{2}  }{n_{1}+ n_{2}  } = \frac{500 X 0.13+700 X0.19  }{500 + 700 } = 0.165<em></em>

<em>        Q = 1 - P = 1 - 0.165 = 0.835</em>

<em></em>Z = \frac{0.13-0.19  }{\sqrt{0.165 X0.835(\frac{1}{500 } +\frac{1}{700 } )} }<em></em>

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<em>Null hypothesis is rejected at 0.05 level of significance</em>

<em>Alternative hypothesis is accepted at 0.05 level of significance</em>

<u><em>Conclusion:</em></u><em>-</em>

<em>There is there is a difference between these proportions at α = 0.05</em>

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