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mel-nik [20]
3 years ago
8

Use the following ordered pairs

Mathematics
1 answer:
Lynna [10]3 years ago
3 0

The ordered pair for Y is (-4,-2)

Step-by-step explanation:

Given

X(-2,3)

Z(-6,-7)

As Y is the mid-point of XZ, it will divide Xz in two equal segments. Y is the mid-point of the segment.

Let (x_Y, y_Y) be the coordinates of the mid-point

Then

(x_Y, y_Y) = (\frac{x_1+_2}{2} , \frac{y_1+y_2}{2})

Putting the values

=(frac{-2-6}{2} , \frac{3-7}{2})\\=(\frac{-8}{2} , \frac{-4}{2})\\=(-4, -2)

Hence,

The ordered pair for Y is (-4,-2)

Keywords: Coordinate geometry, Mid-point

Learn more about coordinate geometry at:

  • brainly.com/question/2116906
  • brainly.com/question/2131336

#LearnwithBrainly

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The branch manager of an outlet (Store 1) of a nationwide
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Answer:

1. ( 19.1416, 23.5384,)

2. (0.276348, 0.46651)

3. the sample size = 170.73 approximately 171

4. sample size = 334.07 approximately 334

5. sample of 334 should be taken by manager

Step-by-step explanation:

mean = bar x = 21.34 dollars

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standard deviation of sample = 9.22

we use t distribution as the population standard deviation is not known.

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using the t distribution tsble,

= 1.9949

confidence interval = 21.34+-1.9949*[\frac{9.22}{sqrt(70)}] \\

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2. sixe of those who only have a cat

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at 90 % confidence interval,

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= 1.645

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Zα/2 = 0.05

= 1.645

sample size = 1.645²x0.5(1-0.5) / 0.045²

= 0.676506/0.002025

= 334. 07

sample size = 334

5.  sample of 334 should be taken by manager

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