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3 years ago

A relation is a function

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

6 0

A relation is a function if there is exactly one output for each input ⇒ b

Step-by-step explanation:

Let us revise the meaning of relation and function

A relation is a set of inputs and outputs that are related in some way
When each input in a relation has exactly one output, the relation is said to be a function
A function is a relation with one output for each input

Examples:

{(1 , 2) , (-2 , 3) , (1 , 5) , (2 , 4)}

∵ x is the input

∵ y is the output

∵ The input 1 has two output 2 and 5

∴ The set above is a relation

{(1 , 2) , (-2 , 3) , (-1 , 5) , (2 , 4)}

∵ x is the input

∵ y is the output

∵ Each input has only one output

∴ The set above is a function

A relation is a function if there is exactly one output for each input

Learn more:

You can learn more about the function in brainly.com/question/10879401

#LearnwithBrainly

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Step-by-step explanation:

px^2-qx+r

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3 years ago

A hexagon has interior angles the measure 127, 85, 121, 135, and 139 find the measure of the remaining angle.

shtirl [24]

Answer:

113º

(pls mark brainliest if possible)

Step-by-step explanation:

Hexagon has sum of interior angles as 720º

127+85+121+135+139+x=720

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3 years ago

Rogers’s car loan is automatically deducting $35 from his bank account every month. How much will the deductions total for the y

WITCHER [35]

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5 0

3 years ago

1. The probability of telesales representative making a sale on a customer call is 0.15.

Mumz [18]

Answer:

$n = 33$

$n = 19$

Step-by-step explanation:

From the question we are told that

The probability of telesales representative making a sale on a customer call is $p = 0.15$

The mean is $\mu = 5$

Generally the distribution of sales call made by a telesales representative follows a binomial distribution

i.e

$X \~ \ \ \ B(n , p)$

and the probability distribution function for binomial distribution is

$P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}$

Here C stands for combination hence we are going to be making use of the combination function in our calculators

Generally the mean is mathematically represented as

$\mu = n* p$

=> $5= n * 0.15$

=> $n = 33$

Generally the least number of calls that need to be made by a representative for the probability of at least 1 sale to exceed 0.95 is mathematically represented as

$P( X \ge 1) = 1 - P( X < 1 ) > 0.95$

=> $P( X \ge 1) = 1 - P( X =0 ) > 0.95$

=> $P( X \ge 1) = 1 - [ ^{n}C_0 * (0.15 )^0 * (1- 0.15)^{n-0}] > 0.95$

=> $1 - [1 * 1* (0.85)^{n}] > 0.95$

=> $[(0.85)^{n}] > 0.05$

taking natural log of both sides

$n = \frac{ln(0.05)}{ln(0.85)}$

=> $n = 19$

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3 years ago

Jimmy has seven times as many dimes as nickels. Their value is $3.75. How many nickels does he have?

deff fn [24]

The answer would be 5. A nickel is 5 cents. So 5*5 would be 25 cents. Then the amount of nickels is times 7 and that's how many dimes there are. Which is 35. So then you times 35 by 10 which is 350cents which equals 3.50 $ so then add the 25 cent from earlier with the nickels and you have the amount you needed 3.75$

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4 years ago

Read 2 more answers