1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
n200080 [17]
3 years ago
11

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.
You might be interested in
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)!}&#10;

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&#10;

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
Other questions:
  • 17. Four identical bags of cement and a
    5·1 answer
  • For each function, do the following: a) state the name of the function, b) identify the independent and dependent variable, c) i
    15·1 answer
  • A map has a scale of 2cm=50 km.If two cities appear 10 cm meters apart, how many kilometers apart really are they?
    15·1 answer
  • Which point is a solution to the system;
    5·1 answer
  • Phillipa earns $10 for each haircut she gives.
    9·1 answer
  • Choose the inequality that represents the following graph.
    13·1 answer
  • I NEDD HELPP<br> PLESASEEEEEEEEEEEEEEEEEEEEEEEEEEE
    8·1 answer
  • Plz help
    7·1 answer
  • A $250 item is reduced to $205. Find the percent discount
    11·2 answers
  • Enter an equation in standard form to model the linear situation.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!