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Karo-lina-s [1.5K]
2 years ago
5

Explain why a graph that fails the vertical-line test does not represent a function. Be sure to use the definition of a function

in your answer
Mathematics
1 answer:
ArbitrLikvidat [17]2 years ago
4 0

Explanation:

A function is a relationship where any one x-value/input only has <u>one </u>corresponding y-value/output. (note: a y-value can have multiple x-values).

> This can be called "assigning one y-value to every x element".

The vertical line test places a line that would connect all y-values of an x-value (that is, if it were to have multiple y-values). If multiple points can be found along the vertical line, it is, therefore, by the definition of a function, not a function. (Because an x-value will have more than one y-value).

So, a graph that fails the vertical-line test does not represent a function because an x-value will correspond with more than one y-value.

hope this helps!!

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The New family pays $34.56 for
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Answer:

$3.456

Step-by-step explanation:

34.56÷100x10

=3.456

$3.456 is 10% of $34.56

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3 years ago
What is the negative square root of <br> 25<br> 100<br> ?
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weqwewe [10]

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D

Step-by-step explanation:

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4 years ago
A real estate agent has 17 properties that she shows. She feels that there is a 50% chance of selling any one property during a
Likurg_2 [28]

Answer:

0.0011 = 0.11% probability of selling less than 3 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property. This means that the binomial probability distribution is used to solve this question.

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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.

A real estate agent has 17 properties that she shows.

This means that n = 17

She feels that there is a 50% chance of selling any one property during a week.

This means that p = 0.5

Compute the probability of selling less than 3 properties in one week.

This is

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which

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P(X = 2) = C_{17,2}.(0.5)^{2}.(0.5)^{15} = 0.0010

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0.0001 + 0.0010 = 0.0011

0.0011 = 0.11% probability of selling less than 3 properties in one week.

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