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3 years ago

What are the steps to construct parallel lines using a compass and straightedge?

Mathematics

1 answer:

nevsk [136]3 years ago

4 0

See if the distance between the two lines is consistent with a compass.

Make sure the lines intersect at right angles with the corner of a piece of paper.

Measure each of the angles with a straightedge.

There is no way to ensure you have constructed parallel lines.

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Find the y-intercept of the following equation. Simplify your answer.<br><br> y = 10x + 6

hram777 [196]

Answer: 6

Step-by-step explanation:

y = mx + b, where b is the y-intercept, in this case, y-intercept is 6.

3 0

3 years ago

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

The box plot shows the time it takes you and your classmates to get to school. What is the median time spent traveling to school

Vinvika [58]

B 12 minutes
Because if you look the middle of the box plot the line is at 12

5 0

3 years ago

Help me pls AAAAAAAA

erastovalidia [21]

Answer:

10/3 liters

Step-by-step explanation:

Divide (4/3) by 2, then multiply by 5

4 0

3 years ago

Read 2 more answers

Write an equation that is non-proportional.

elena-s [515]

Answer:

y = mx + b. When b ≠ 0, the relationship between x and y is nonproportional.

7 0

2 years ago