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3 years ago

How to calculate the critical value of z distribution ?

Mathematics

1 answer:

pshichka [43]3 years ago

5 0

Answer:

Compute alpha (α): α = 1 - (confidence level / 100)

Find the critical probability (p*): p* = 1 - α/2

To express the critical value as a z-score, find the z-score having a cumulative probability equal to the critical probability (p*).

Step-by-step explanation:

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To find 10, Beau found 32 = 9 and 42 = 16. He said that since 10 is between 9 and 16, 10 is between 3

AlexFokin [52]

Given that:

Consider it is $\sqrt{10}$ instead of 10 on two places.

$\sqrt{10}$ is between 3 and 4. So, Beau thinks a good estimate for $\sqrt{10}$ is = 3.5.

Solution:

To find $\sqrt{10}$ , Beau found 3² = 9 and 4² = 16.

He said that since 10 is between 9 and 16.

Since 10 is close to 9, therefore $\sqrt{10}$ must be close to 3. So, Beau's estimate is high.

Now,

$(3.1)^2=9.61$

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Since, 10 lies between 9.61 and 10.24, therefore $\sqrt{10}$ must be lies between 3.1 and 3.2.

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3 years ago

You want to place a towel bar that is 24 1/4 centimeters long in the center of a door that is 70 1/3 centimeters wide. How far s

Aleksandr [31]

Answer:

The towel bar should be placed at a distance of $23\frac{1}{24}\ cm$ from each edge of the door.

Step-by-step explanation:

Given:

Length of the towel bar = $24\frac14\ cm$

Now given length is in mixed fraction we will convert in fraction.

To Convert mixed fraction into fraction Multiply the whole number part by the fraction's denominator, then Add that to the numerator, then write the result on top of the denominator.

$24\frac14\ cm$ can be Rewritten as $\frac{97}{4}\ cm$

Length of the towel bar = $\frac{97}{4}\ cm$

Length of the door = $70 \frac13\ cm$

$70 \frac13\ cm$ can be Rewritten as $\frac{211}{3}\ cm$

Length of the door = $\frac{211}{3}\ cm$

We need to find the distance bar should be place at from each edge of the door.

Solution:

Let the distance of bar from each edge of the door be 'x'.

So as we placed the towel bar in the center of the door it divides into two i.e. '2x'

Now we can say that;

$\frac{97}{4}+2x=\frac{211}{3}\\\\2x=\frac{211}{3}-\frac{97}{4}$

Now we will take LCM to make the denominators common we get;

$2x=\frac{211\times4}{3\times4}-\frac{97\times3}{4\times3}\\\\\\2x= \frac{844}{12}+\frac{281}{12}$

Now denominators are common so we will solve the numerators.

$2x =\frac{844-291}{12}\\\\2x=\frac{553}{12}\\\\x=\frac{553}{12\times2} =\frac{553}{24}$

Or $x=23\frac{1}{24}\ cm$

Hence The towel bar should be placed at a distance of $23\frac{1}{24}\ cm$ from each edge of the door.

8 0

3 years ago

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