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2 years ago

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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3 years ago

Which industries do you predominantly see in each of the regions?

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3 years ago

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

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Answer:

Step-by-step explanation:

Step(i):-

Given first random sample size n₁ = 500

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

First sample proportion

$p^{-} _{1} = \frac{65}{500} = 0.13$

Given second sample size n₂ = 700

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.

second sample proportion

$p^{-} _{2} = \frac{133}{700} = 0.19$

Level of significance = α = 0.05

critical value = 1.96

Step(ii):-

Null hypothesis : H₀: There is no significance difference between these proportions

Alternative Hypothesis :H₁: There is significance difference between these proportions

Test statistic

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

where

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

Q = 1 - P = 1 - 0.165 = 0.835

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

Z = -2.76

|Z| = |-2.76| = 2.76 > 1.96 at 0.05 level of significance

Null hypothesis is rejected at 0.05 level of significance

Alternative hypothesis is accepted at 0.05 level of significance

Conclusion:-

There is there is a difference between these proportions at α = 0.05

3 0

3 years ago