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3 years ago

Write a function rule for the table. x ƒ(x) 3 –1 4 0 5 1 6 2

Mathematics

1 answer:

MaRussiya [10]3 years ago

3 0

Answer:

Step-by-step explanation:

When one variable depends on another variable according to a rule it is known as function:

For example if you want an output of 2 and the input value is 4. Then you will subtract 4 from x

We have to find x f(x).

x f(x) =?

f(x) = x-4

Now input value is: x= 3

x f(x)

3 (x-4)

3 (3-4)

3 -1

Now x= 4

x f(x)

4 (x-4)

4 (4-4)

4 0

Now x=5

x f(x)

5 (x-4)

5 (5-4)

5 1

Now x=6

x f(x)

6 (x-4)

6 (6-4)

6 2 ....

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What is the range of the given function?<br><br> {(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}

Ivan

Answer:

From -3 to 7, can also be written as (-3,7), or -3<y<7

Step-by-step explanation:

4 0

3 years ago

A factory fills bottles with a beverage, and each bottle is supposed to contain 500\text{ mL}500 mL500, start text, space, m, L,

Delicious77 [7]

Answer:

The test statistic for Norah's test is $t = -2$

Step-by-step explanation:

Norah is in charge of a quality control test that involves measuring the amounts in a sample of bottles to see if the sample mean amount is significantly different than 500 ml.

This means that at the null hypothesis we test if the sample mean is 500 ml, that is:

$H_0: \mu = 500$

At the alternate hypothesis, we test if it is differente than 500 ml, that is:

$H_a: \mu \neq 500$

The test statistic is:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.