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3 years ago

What are the inputs of the following function?

Mathematics

1 answer:

attashe74 [19]3 years ago

8 0

Answer: {-3, 0, 1, 9}

Step-by-step explanation:

We can think of a function as a "machine" that "eats" an input, and it transforms it into an "output". A more theoretical definition of a function is a relationship that maps elements of a given set (the domain, this is the set of the inputs) into only one element from another set (the range, this is the set of the outputs)

In the image, we can see that the elements {-3, 0, 1, 9} are mapped into the element {2}

Then the set of the inputs will be the set {-3, 0, 1, 9}

The correct option is the last one.

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30 children are going on a school trip

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Hope this helped. Have a great day!

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Answer:

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4 years ago

Rolls are being prepared to go to grocery stores. Divide 72 rolls into 2 groups so the ratio is 3 to 5.

Alenkasestr [34]

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3 years ago

A cognitive psychologist wants to know whether memory performance is changed by old age. She randomly selects 7 elderly individu

defon

Answer:

$z = \frac{418.7-465.6}{\frac{53.6}{\sqrt{7}}}= -2.340$

Now we can calculate the p value with the following probability

$p_v =2*P(z$

If we use the commonly significance level of 0.05 we see that the p value is lower than these values we can conclude that the true mean is different from the value of 465.6 at 5% of significance

Step-by-step explanation:

Data provided

$\bar X=418.7$ represent the mean score on the standardized memory test

$\sigma=53.6$ represent the population standard deviation

$n=7$ sample size

$\mu_o =465.6$ represent the value that we want to verify

z would represent the statistic

$p_v$ represent the p value

System of hypothesis

We are interested to check if the memory performance for elderly individuals differs from that of the general population (mean different from 465.6), the system of hypothesis are then:

Null hypothesis: $\mu = 465.6$

Alternative hypothesis: $\mu \neq 465.6$

Since we know the population deviation we can use the z statistic from the z test for the true mean:

$z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$z = \frac{418.7-465.6}{\frac{53.6}{\sqrt{7}}}= -2.340$

Now we can calculate the p value with the following probability

$p_v =2*P(z$

If we use the commonly significance level of 0.05 we see that the p value is lower than these values we can conclude that the true mean is different from the value of 465.6 at 5% of significance

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4 years ago