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3 years ago

What is the surface area of the cylinder in terms of pi the diagram is not drawn to scale radius of 9 and height of 19

Mathematics

2 answers:

Lesechka [4]3 years ago

6 0

Answer:

504 $\pi$ in²

Step-by-step explanation:

Confirmed

Misha Larkins [42]3 years ago

3 0

Hello!

To find the surface area of a cylinder you use the equation

$SA = 2 \pi rh + 2 \pi r^{2}$

SA is surface area
r is radius
h is height

Put in the values you know

$SA = 2 \pi 9 * 19 + 2 \pi 9^{2}$

Square the number

$SA = 2 \pi 9 * 19 + 2 \pi 81$

Multiply the 9, 19 and 2

$SA = 342 \pi + 2 \pi 81$

Multiply the 2 and 81

$SA = 342 \pi + 162 \pi$

Add

$SA = 504 \pi$

The answer is $504 \pi$

Hope this helps!

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Answer:

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Assuming:

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Step-by-step explanation:

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

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The probability mass function for the Binomial distribution is given as:

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Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

We need to check the conditions in order to use the normal approximation.

$np=100*0.2=20 \geq 10$

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So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=100*0.2=20$

$\sigma=\sqrt{np(1-p)}=\sqrt{100*0.2(1-0.2)}=4$

So we can approximate the random variable X like this:

$X\sim N(\mu =20, \sigma=4)$

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The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean". The letter $\phi(b)$ is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: $\phi(b)=P(z$