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RUDIKE [14]
3 years ago
9

Which of the following does NOT represent a function?

Mathematics
2 answers:
MAXImum [283]3 years ago
7 0
I wanna say the second on but not sure
lilavasa [31]3 years ago
3 0

Answer:

Third graph  does not represent a function.

Step-by-step explanation:

A function is a relation in which each element of the domain corresponds with exactly one element of the range. You could use the vertical line test to verify whether a given graph represents a function.  The vertical-line test states if a vertical line passes through more than one point on the graph of a relation, then the relation is not a function. A relation is a set of pairs of input (x values) and output (y values).

Looking at the third graph and conducting the vertical line test, you'll see that the vertical line will pass through more than one point on the graph of a relation.  

Below is a screen capture of the vertical line test I've done using the image you've provided. You'll see that given an x-value of 3, it has two corresponding y-values: 4 and -4.

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In a recent survey, 60% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find
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Answer:

Probability that exactly 5 of them favor the building of the health center is 0.0408.

Step-by-step explanation:

We are given that in a recent survey, 60% of the community favored building a health center in their neighborhood.

Also, 14 citizens are chosen.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 14 citizens

         r = number of success = exactly 5

        p = probability of success which in our question is % of the community

              favored building a health center in their neighborhood, i.e; 60%

<em>LET X = Number of citizens who favored building of the health center.</em>

So, it means X ~ Binom(n=14, p=0.60)

Now, Probability that exactly 5 of them favor the building of the health center is given by = P(X = 5)

        P(X = 5) = \binom{14}{5} \times 0.60^{5} \times (1-0.60)^{14-5}

                      = 2002 \times 0.60^{5} \times 0.40^{9}

                      = 0.0408

Therefore, Probability that exactly 5 of them favor the building of the health center is 0.0408.

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