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3 years ago

Thanks in advance for the answer

Mathematics

2 answers:

soldier1979 [14.2K]3 years ago

5 0

$2^{-2} = \frac{1}{2^{2}} = \frac{1}{4} 
$

does this make sense to you? Do you have any questions about raising numbers to a negative value?

sleet_krkn [62]3 years ago

5 0

Any number raised to the negative power, is simply, 1 over that number raised to the opposite of the negative number.

For example, 2 to the power of -2 would end up being:

$\frac{1}{ 2^{2} }$ = 1/4

Same with all the others.

For example, 3 to the power of -3 would end up being:

$\frac{1}{ 3^{3} }$

And then you would just solve for the exponent on the bottom.

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What is the Square root of -3

zavuch27 [327]

The square root of -3 is 1.73205081

3 0

3 years ago

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

What's the product of 42⁄3 and 111⁄4 ?

Rashid [163]

Answer:

222

Step-by-step explanation:

42/3 x 111/4 = (42 x 111)/(3 x 4)

42/3 x 111/4 = 2664/12

42/3 x 111/4 = 222

6 0

3 years ago

Read 2 more answers

If the radius of a cylinder is 18 meters and its height is 7 meters, the volume of the cylinder is approximately 72 cuble meters

seropon [69]

Answer:

Volume = πr2h

= π×182×7

= 2268π

= 7125.1321383417 meters3

3 0

2 years ago

Solve for x in the triangle. Round your answer to the nearest tenth

Ilya [14]

Use tan because you are dealing with the opposite and adjacent sides

3 0

2 years ago