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2 years ago

Determine whether the relationship is an inverse variation or not. Explain.

Mathematics

1 answer:

kolbaska11 [484]2 years ago

8 0

Answer: The product xy is not constant, so the relationship is not an inverse variation.

Step-by-step explanation:

For it to be an inverse variation, the product of x and y must be constant.

For the first row, xy=2(424)=848.
For the second row, xy=3(280)=840.
For the third row, xy=4(210)=840.

This means the product xy is not constant, so the relationship is not an inverse variation.

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Step-by-step explanation:

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3 years ago

Sort the triangles into 3 categories. 1 Isosceles 2 Equilateral 3 Scalene

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Equilateral: 3
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A parallelogram with vertices (–4, 1), (1, 3), (2, 0), and (–3, –2) is translated left 3 units, up 5 units.

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|Vertices ABCD| (x - 3, y + 5) |Vertices A'B'C'D'|
| (-4, 1) | (-4 - 3, 1 + 5)| (-7, 6) |
| (1, 3) | (1 - 3, 3 + 5) | (-2, 8) |
| (2, 0) | (2 - 3, 0 + 5) | (-1, 5) |
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3 years ago

A random sample of 144 observations has a mean of 20. The population standard deviation is known to equal 4.8. The 95.44% confid

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Answer:

The population mean is 19.2 to 20.8.

Step-by-step explanation:

The formula of Confidence interval is

CI = mean ± z* $\frac{s}{\sqrt{n} }$

where

n = sample size

s = Population standard deviation.

mean = Sample mean

z(α/2) = Two tailed z-value for significance level of .

Given : Confidence level = 95.44% = 0.9544

Significance level = α = 1-0.9544 = 0.0456

Now we Use standard z-value table

z-value for Significance level of 0.0456 :

z(α/2) = z(0.0228) = 1.99 = 2(approximately)

And we are given

n=144

s = 4.8

mean = 20

so the required Confidence interval is

CI = 20± 2* $\frac{4.8}{\sqrt{144} }$

= 20 ± 2* $\frac{4.8}{12}$

= 20 ± (0.8)

= (20-0.8, 20+0.8 )

= (19.2 , 20.8)

Therefore the 95.44% CI value for the population mean of 20 is 19.2 to 20.8.

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3 years ago

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