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3 years ago

Neither the absolute value function nor the greatest integer function is one-to-one.

1 answer:

4 0

It is true that neither the absolute value function nor the greatest integer function is one to one. The correct answer is True.

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What’s the answer? I’m very confused

Snowcat [4.5K]

F(x) = 29x +38. F(x) is a fancy way of saying y= and you must know the basic formula y=mx+b

6 0

3 years ago

Exercise 3

Lelechka [254]

Answer:

I'm sorry

Step-by-step explanation:

I don't know the answer

6 0

3 years ago

The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.

valina [46]

Answer:

A sample of 179 is needed.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.85}{2} = 0.075$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.075 = 0.925$ , so Z = 1.44.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

A previous study found that for an average family the variance is 1.69 gallon?

This means that $\sigma = \sqrt{1.69} = 1.3$

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.14 = 1.44\frac{1.3}{\sqrt{n}}$

$0.14\sqrt{n} = 1.44*1.3$

$\sqrt{n} = \frac{1.44*1.3}{0.14}$

$(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2$

$n = 178.8$

Rounding up

A sample of 179 is needed.

7 0

3 years ago

Tina is saving to buy a notebook computer. She has two options. The first option is to put $500 away initially and save $10 ever

Alexxandr [17]

Answer:

Tina would save the same amount using either option after 20 months.

With either option, Tina would save $700.

Step-by-step explanation:

This problem can be modeled by a first order equation:

Where Tina's saved money after n months is:

S(n) = S(0) + rn, where S(0) is the money put away initially and r is how much she saves every month.

The first option is to put $500 away initially and save $10 every month, so:

$S_{1}(n) = 500 + 10n$

The second option is to put $100 away initially and save $30 every month, so:

$S_{2}(n) = 100 + 30n$

After how many months would Tina save the same amount using either option?

It will happen at the month n in which $S_{1}(n) = S_{2}(n)$ , so:

$S_{1}(n) = S_{2}(n)$

500 + 10n = 100 + 30n

500 - 100 = 30 - 10n

400 = 20n

20n = 400

$n = \frac{400}{20}$

n = 20.

Tina would save the same amount using either option after 20 months.

How much would she save with either option?

We can choose $S_{1}(20)$ or $S_{2}(20)$ , since they are equal

$S_{1}(20) = 500 + 10(20) = 500 + 200 = 700$

With either option, Tina would save $700.

3 0

3 years ago

Which system of equations will yield the same solution as x-y=3 2x-3y=-1

laiz [17]

Answer: Is there some answer choices? Because I can't help if I don't have any choices.

Step-by-step explanation:

5 0

3 years ago