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3 years ago

How to do the fractions

Mathematics

1 answer:

Alenkasestr [34]3 years ago

3 0

you could either multiply straight away or you could simplify right then so that you wouldn't have to it later.

20/5 * 5/2

your answer would be 10 either way

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Assume the sample variances to be continuous measurements. Find the probability that a random sample of 25observations, from a n

konstantin123 [22]

Answer:

a) $P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502$

b) $P(13.848$ Step-by-step explanation:

Previous concepts

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

For this case we assume that the sample variance is given by $S^2$ and we select a random sample of size n from a normal population with a population variance $\sigma^2$ . And we define the following statistic:

$T = \frac{(n-1) S^2}{\sigma^2}$

And the distribution for this statistic is $T \sim \chi^2_{n-1}$

For this case we know that n =25 and $\sigma^2 = 6$ so then our statistic would be given by:

$\chi^2 = \frac{(n-1)S^2}{\sigma^2}=\frac{24 S^2}{6}= 4S^2$

With 25-1 =24 degrees of freedom.

Solution to the problem

Part a

For this case we want this probability:

$P(S^2 > 9.1)$

And we can multiply the inequality by 4 on both sides and we got:

$P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502$

And we can use the following excel code to find it: "=1-CHISQ.DIST(36.4,24,TRUE)"

Part b

For this case we want this probability:

$P(3.462 < S^2$

If we multiply the inequality by 4 on all the terms we got:

$P(3.462*4 < 4S^2 < 4*10.745)= P(13.848< \chi^2$ And we can find this probability like this: $P(13.848$ And we use the following code to find the answer in excel: "=CHISQ.DIST(42.98,24,TRUE)-CHISQ.DIST(13.848,24,TRUE)"

8 0

3 years ago

0.04x -0.06y=0.48 0.08x-0.11 y=0.92

UkoKoshka [18]

Answer:

0.04x -0.06y=0.48

x = 1.5y + 12

0.08x-0.11 y=0.92

x = 1.375y + 11.5

Hope this helps!

6 0

3 years ago

The shapes in this question are drawn on a centimetre grid.

xenn [34]

Answer:

A. 12 centimeters B. 4 centimeters C. 20 centimeters

Step-by-step explanation:

To find area you need to do the Height time the Length.

For A it is 3x4

For B it is 4x1

And for C it is 4x5

You get this equation by multiplying the amount of squares that the Height and Length measured!

Hope this helped!

:DD

8 0

3 years ago

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One number is seven less than five times another. If their sum is decreased by four the result is one. Find the numbers

juin [17]

Let the number be Y .
Y is seven
less than 5 times another (let that other be X)
Y=7-5X
sum of both Y and X minus 4 gives one
Y+X-4=1
now solve both equations .

6 0

3 years ago

A rectangular piece of gift wrap is 5.5 inches in length and 2.1 inches in width. What is the area of the gift wrap?

Nina [5.8K]

A=11.55in²lLengthinwWidthin

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3 years ago

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