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2 years ago

A pipe is 25 inches long and has a diameter of

Mathematics

1 answer:

Lilit [14]2 years ago

4 0

Answer:

The lateral area is 392.5 sq. inches.

Step-by-step explanation:

The pipe is in a shape of a cylinder. The lateral area formula for a cylinder is:

Lateral Area = $2\pi r h$

Where

r is the radius (half of diameter)

h is the height

Given, diameter = 5

so,

radius = 5/2 = 2.5

Also,

height = 25 inches (same as length, here)

Now we use 3.14 for $\pi$ and substitute the values to get the lateral area:

Lateral Area = $2\pi r h = 2(3.14)(2.5)(25)=392.5$

The lateral area is 392.5 sq. inches.

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The lengths of lumber a machine cuts are normally distributed with a mean of 106 inches and a standard deviation of 0.3 inch. (

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Answer:

a) $P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)$

And we can find this probability with the complement rule:

$P(z>0.37)=1-P(z$

b) $z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}= 2.431$

And if we use the z score we got:

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Step-by-step explanation:

Let X the random variable that represent the lengths of a population, and for this case we know the distribution for X is given by:

$X \sim N(106,0.3)$

Where $\mu=106$ and $\sigma=0.3$

Part a

We are interested on this probability

$P(X>106.11)$

And we can use the z score formula given by:

$z=\frac{x-\mu}{\sigma}$

And using this formula we got:

$P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)$

And we can find this probability with the complement rule:

$P(z>0.37)=1-P(z$

Part b

For this case we select a sample of n =44 and the new z score formula is given by:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score we got:

$z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}= 2.431$

And if we use the z score we got:

$P(z>2.431) =1-P(z$

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ICE Princess25 [194]

Answer:

-1/240 (Might be wrong though)

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Now that we know the product 1/240, we just have to find the opposite, which is -1/240 because you just add a negative sign in opposites( even in negative numbers)

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