Which set of ordered pairs represents a function?

Mathematics

1 answer:

frosja888 [35]3 years ago

6 0

The correct is:

$[(-9,3),\:(-5,1),\:(7,-5),\:(4,3)]$

The definition of a function is that for every value of $x$ we get one from $y$ .

In the first appears $(-6,1)$ y $(-6,-7)$ , it is not a function, since it does not meet the definition given above, there can only be one value for x, if there are $2$ or more, called relation.

In 2 repeat: $(7,-6)$ and $(7,0)$

In 3 repeat: $(1,-3)$ and $(1,0)$

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in a random sample of 200 people, 154 said that they watched educational television. fine the 90% confidence interval of the tru

melisa1 [442]

Answer:

[0.7210,0.8189] = [72.10%, 81.89%]

Step-by-step explanation:

The sample size is

n = 200

the proportion is

p = 154/200 = 0.77

Since both np ≥ 10 and n(1-p) ≥ 10

We can approximate this discrete binomial distribution with the continuous Normal distribution. As the sample size is large enough, not applying the continuity correction factor makes no significant difference.

The approximation would be to a Normal curve with this parameters:

Mean

p = 0.77

Standard deviation

$\bf s=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.77*0.23}{200}}=0.0298$

The 90% confidence interval for the proportion would be then

$\bf [0.77-z^*0.0298, 0.77+z^*0.0298]$

where $\bf z^*$ is the 10% critical value for the Normal N(0,1) distribution , this is a value such that the area under the N(0,1) curve outside the interval $\bf [-z^*,z^*]$ is 10%=0.1