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
melamori03 [73]
3 years ago
7

Is the following relation a function? {(3, −2), (1, 2), (−1, −4), (−1, 2)}

Mathematics
2 answers:
Yanka [14]3 years ago
4 0

Answer: No, it is not a function.

Step-by-step explanation:

  • A function is a special kind of relation between two variables commonly x and y such that each x (input) value corresponds to a unique y(output) value.

The given relation:  {(3, −2), (1, 2), (−1, −4), (−1, 2)}

According to the above definition, the given relation is not a function because -1 corresponds to two different output values i.e. -4 and 2.

Hence, the given relation is not a function.

mel-nik [20]3 years ago
3 0

Answer:

<h2>It's not a function.</h2>

Step-by-step explanation:

A function is a process or a relation that associates each element x of a set X, to a single element y of another set Y.

We have:

{(3, -2), (1, 2), (-1, -4), (-1, 2)}

for x = -1 are two values of y = -4 and y = 2. Therefore this realtion is not a function.

You might be interested in
A quadrilateral is a parallelogram only if both pairs of opposite sides are equal.
monitta

Answer:

True

Step-by-step explanation:

A parallelogram is a quadrilateral with 4 sides and both pairs of opposite sides are equal.

6 0
3 years ago
Read 2 more answers
Students who attend Anytown College pay either in-state or out-of-state tuition, depending on where they reside. The amount, I,
notsponge [240]

Answer:

The correct answer is 0.1368

Step-by-step explanation:

Got it right on Edge assignment

4 0
2 years ago
I NEED HELP ASAP PLEASE NO LINKS !!!
My name is Ann [436]
25-9=16 so 16 is the answer
8 0
3 years ago
Joe solved this problem on a math test. 5/6 - 1/4 = 7/8
Travka [436]

Answer:

This is incorrect, the correct answer is 7/12

Step-by-step explanation:

5 0
2 years ago
Suppose a geyser has a mean time between irruption’s of 75 minutes. If the interval of time between the eruption is normally dis
lesya [120]

Answer:

(a) The probability that a randomly selected Time interval between irruption is longer than 84 minutes is 0.3264.

(b) The probability that a random sample of 13 time intervals between irruption has a mean longer than 84 minutes is 0.0526.

(c) The probability that a random sample of 20 time intervals between irruption has a mean longer than 84 minutes is 0.0222.

(d) The probability decreases because the variability in the sample mean decreases as we increase the sample size

(e) The population mean may be larger than 75 minutes between irruption.

Step-by-step explanation:

We are given that a geyser has a mean time between irruption of 75 minutes. Also, the interval of time between the eruption is normally distributed with a standard deviation of 20 minutes.

(a) Let X = <u><em>the interval of time between the eruption</em></u>

So, X ~ Normal(\mu=75, \sigma^{2} =20)

The z-score probability distribution for the normal distribution is given by;

                            Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean time between irruption = 75 minutes

           \sigma = standard deviation = 20 minutes

Now, the probability that a randomly selected Time interval between irruption is longer than 84 minutes is given by = P(X > 84 min)

 

    P(X > 84 min) = P( \frac{X-\mu}{\sigma} > \frac{84-75}{20} ) = P(Z > 0.45) = 1 - P(Z \leq 0.45)

                                                        = 1 - 0.6736 = <u>0.3264</u>

The above probability is calculated by looking at the value of x = 0.45 in the z table which has an area of 0.6736.

(b) Let \bar X = <u><em>sample time intervals between the eruption</em></u>

The z-score probability distribution for the sample mean is given by;

                            Z  =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean time between irruption = 75 minutes

           \sigma = standard deviation = 20 minutes

           n = sample of time intervals = 13

Now, the probability that a random sample of 13 time intervals between irruption has a mean longer than 84 minutes is given by = P(\bar X > 84 min)

 

    P(\bar X > 84 min) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{84-75}{\frac{20}{\sqrt{13} } } ) = P(Z > 1.62) = 1 - P(Z \leq 1.62)

                                                        = 1 - 0.9474 = <u>0.0526</u>

The above probability is calculated by looking at the value of x = 1.62 in the z table which has an area of 0.9474.

(c) Let \bar X = <u><em>sample time intervals between the eruption</em></u>

The z-score probability distribution for the sample mean is given by;

                            Z  =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean time between irruption = 75 minutes

           \sigma = standard deviation = 20 minutes

           n = sample of time intervals = 20

Now, the probability that a random sample of 20 time intervals between irruption has a mean longer than 84 minutes is given by = P(\bar X > 84 min)

 

    P(\bar X > 84 min) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{84-75}{\frac{20}{\sqrt{20} } } ) = P(Z > 2.01) = 1 - P(Z \leq 2.01)

                                                        = 1 - 0.9778 = <u>0.0222</u>

The above probability is calculated by looking at the value of x = 2.01 in the z table which has an area of 0.9778.

(d) When increasing the sample size, the probability decreases because the variability in the sample mean decreases as we increase the sample size which we can clearly see in part (b) and (c) of the question.

(e) Since it is clear that the probability that a random sample of 20 time intervals between irruption has a mean longer than 84 minutes is very slow(less than 5%0 which means that this is an unusual event. So, we can conclude that the population mean may be larger than 75 minutes between irruption.

8 0
2 years ago
Other questions:
  • Which figure has the greatest amount of lines of symmetry
    8·1 answer
  • Convert 12 over 5 to a decimal using long division.<br><br> 1.2<br><br> 2.4<br><br> 2.6<br><br> 3.4
    12·2 answers
  • Solve the inequality 4x+3&lt;3x+6
    8·1 answer
  • (x + y + 2)(y + 1)
    10·1 answer
  • Lmk ASAP please
    6·1 answer
  • Which bank does not charge at all for using the ATM?
    14·2 answers
  • Melanie's bedroom floor has length equal to 6x + 5 and width equal to 9x -
    13·1 answer
  • Please help. I will give brainliest to first person that responds.
    8·1 answer
  • Using long division. Find the decimal equivalent of 2/5. What kind of decimal is it ?
    15·2 answers
  • Find an expression for the number in the nth term pattern of the sequence.<br> 4 , 7 , 12, 19
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!