All categories

3 years ago

A set of ordered pairs (x,y) __. it may or may not also be a function.

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

5 0

(1, 8)

(x, y)

That is an example of an ordered pair. Would you like an example of a function as well?

You might be interested in

You work in the HR department at a large franchise. you want to test whether you have set your employee monthly allowances corre

ra1l [238]

Answer:

1) Null hypothesis: $\mu \leq 500$

Alternative hypothesis: $\mu > 500$

$z=\frac{640-500}{\frac{150}{\sqrt{40}}}=5.90$

For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.01 of the area in the right and we got:

$z_{crit}= 2.33$

For this case we see that the calculated value is higher than the critical value

Since the calculated value is higher than the critical value we have enugh evidence to reject the null hypothesis at 1% of significance level

2) Since is a right tailed test the p value would be:

$p_v =P(z>5.90)=1.82x10^{-9}$

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, same conclusion for part 1

Step-by-step explanation:

Part 1

Data given

$\bar X=640$ represent the sample mean

$\sigma=150$ represent the population standard deviation

$n=40$ sample size

$\mu_o =500$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

Step1:State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is higher than 500, the system of hypothesis would be:

Null hypothesis: $\mu \leq 500$

Alternative hypothesis: $\mu > 500$

Step 2: Calculate the statistic

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

We can replace in formula (1) the info given like this:

$z=\frac{640-500}{\frac{150}{\sqrt{40}}}=5.90$

Step 3: Calculate the critical value

For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.01 of the area in the right and we got:

$z_{crit}= 2.33$

Step 4: Compare the statistic with the critical value

For this case we see that the calculated value is higher than the critical value

Step 5: Decision

Since the calculated value is higher than the critical value we have enugh evidence to reject the null hypothesis at 1% of significance level

Part 2

P-value

Since is a right tailed test the p value would be:

$p_v =P(z>5.90)=1.82x10^{-9}$

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, same conclusion for part 1

7 0

3 years ago

It is impossible to get 6 jacks when selecting cards from a shuffled deck. Express the indicated degree of likelihood as a proba

Vinil7 [7]

Answer:

Probability = 0

Step-by-step explanation:

If something happening is impossible, it's probability of occurring is also 0.

A deck of cards only contains 4 jacks.

Thus you can never get 6 jacks out of the deck without replacing the selected card each time.

Since we are not replacing the cards once we pick them, this event is impossible to occur.

4 0

3 years ago

Solve the inequality 7(x + 4) > 0.

matrenka [14]

Answer:

x > - 4

Step-by-step explanation:

Given

7(x + 4) > 0 ← distribute left side

7x + 28 > 0 ( subtract 28 from both sides )

7x > - 28 ( divide both sides by 7 )

x > - 4

3 0

3 years ago

Read 2 more answers

Can you please help Solve: x/2 = 7 Answers are: x=5 X=7 X=9 X=14

QveST [7]

Answer:

X = 14

14/2=7

6 0

3 years ago

Read 2 more answers

Miranda painted the 4 walls of her rectangular room. Her room measures

4vir4ik [10]

Answer: I think it is 1572 sq feet

Step-by-step explanation:

Lxwxh

14x13x9=1638

Window is 4x4.5=18

Door 1 is8x3=24

Door 2 8x3=24

Since the doors and window are not included in what was painted you need to subtract those totals from the room.

So, 1638-18=1620

1620-48(two doors)=1572 sq feet

6 0

3 years ago