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3 years ago

What is the height if the cylinder?

Mathematics

1 answer:

Galina-37 [17]3 years ago

4 0

Answer:

13 mm

Step-by-step explanation:

we use the cylinder surface area formula to find the height.

SA = 2πrh + 2πr² we adjust the formula for h

SA - 2πr² / 2πr = h Now we can plug in the numbers

(715.92 - 2 * 3.14 * 6²) / 2 * 3.14 * 6

h = 13 mm

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Apparently I'm supposed to do one at a time so here we go again

Nat2105 [25]

A) 60mph
B) 209.7 miles
C) 2 hours and 45 minutes

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3 years ago

What is the measure of DEF

Daniel [21]

Answer:

105°

Solution,

 $let \: < def \: be \: x \\ x + 28 + 47 = 180 \\ or \: x + 75 = 180 \\ or \: x = 180 - 75 \\ x = 105 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment$ 

8 0

3 years ago

Read 2 more answers

Consider writing onto a computer disk and then sending it through a certifier that counts the number of missing pulses. Suppose

Furkat [3]

Answer:

a) 0.164 = 16.4% probability that a disk has exactly one missing pulse

b) 0.017 = 1.7% probability that a disk has at least two missing pulses

c) 0.671 = 67.1% probability that neither contains a missing pulse

Step-by-step explanation:

To solve this question, we need to understand the Poisson distribution and the binomial distribution(for item c).

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}
$

In which

x is the number of sucesses

$
e = 2.71828$ is the Euler number

$\mu$ is the mean in the given interval.

Binomial distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

Poisson mean:

$\mu = 0.2$

a. What is the probability that a disk has exactly one missing pulse?

One disk, so Poisson.

This is P(X = 1).

$P(X = 1) = \frac{e^{-0.2}*0.2^{1}}{(1)!} = 0.164
$

0.164 = 16.4% probability that a disk has exactly one missing pulse

b. What is the probability that a disk has at least two missing pulses?

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}
$

$P(X = 0) = \frac{e^{-0.2}*0.2^{0}}{(0)!} = 0.819$

$P(X = 1) = \frac{e^{-0.2}*0.2^{1}}{(1)!} = 0.164
$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.819 + 0.164 = 0.983$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.983 = 0.017$

0.017 = 1.7% probability that a disk has at least two missing pulses

c. If two disks are independently selected, what is the probability that neither contains a missing pulse?

Two disks, so binomial with n = 2.

A disk has a 0.819 probability of containing no missing pulse, and a 1 - 0.819 = 0.181 probability of containing a missing pulse, so $p = 0.181$

We want to find P(X = 0).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{2,0}.(0.181)^{0}.(0.819)^{2} = 0.671$

0.671 = 67.1% probability that neither contains a missing pulse

8 0

3 years ago

Factor Completely: x2 - 81 A.(x-9)(x+9) B.(x+9)(x+9) C.(x-9)(x-9) D.(9-x)(9+x)

Hunter-Best [27]

Answer is A

The binomial can be factored using the difference of squares formula a2-b2 = (a+b) (a-b) where a=x and b=9

(X+9) x(x-9)

7 0

3 years ago

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The population of a town increased by 10% per year in 2009, 2010, and 2011. If the population of the town at the beginning of 20

Bogdan [553]

If the population was 40,000 at the beginning of 2009, at the end of 2009 it has increased by 10% and became 44,000.

By the same way, at the end of 2010, it became $44000 + \frac{44000*10}{100} = 48400$

At the end of 2011, the population was $48400 + \frac{48400 * 10}{100} = 53240$

4 0

3 years ago