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3 years ago

How do you find whether a pair of lines are parallel, perpendicular?

Mathematics

1 answer:

bazaltina [42]3 years ago

5 0

Answer:

If two lines are parallel they have the same slope, if they are perpendicular they have opposite slopes.

Step-by-step explanation:

Example of parallel lines: y=3x+10 & y=3x-4

Example of perpendicular lines: y=2x-9 & y=-1/2x+1

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A marketing research company needs to estimate the average total compensation of CEOs in the service industry. Data were randoml

mezya [45]

SOLUTION:

Step 1 :

In this question, we are told that a marketing research company needs to estimate the average total compensation of CEOs in the service industry.

We also have that: Data were randomly collected from 38 CEOs and the 98% confidence interval was calculated to be ($2,181,260, $5,836,180).

Then, we are asked to find the margin error for the confidence interval.

Step 2:

We need to recall that:

$\text{Higher Confidence Interval, CI}_{H\text{ = }}X\text{ + }\frac{Z\sigma}{\sqrt[]{n}}$ $\text{Lower Confidence Interval , CI}_{L\text{ }}=\text{ X - }\frac{Z\sigma}{\sqrt[]{n}}$

It means that:

$\vec{}X\text{ = }\frac{CI_{H\text{ }}+CI_L}{2}$ $\text{Margin of error, }\frac{Z\sigma}{\sqrt[]{n}\text{ }}\text{ = }\frac{CI_{H\text{ - }}CI_L}{2}$

where,

$CI_H\text{ = }$$5,836,180$\text{ }$$$$ $CI_{L\text{ }}=\text{ }2,181,260$

putting the values into the equation for the margin of error, we have that:

$\text{Margin of error,}\frac{Z\sigma}{\sqrt[]{n}\text{ }}\text{ = }\frac{5,836,180\text{ - }2,181,260\text{ }}{2}$ $\begin{gathered} =\text{ }\frac{3654920}{2} \\ =1,\text{ 827, 460} \end{gathered}$

CONCLUSION:

The margin error for the confidence interval is 1, 827, 460

5 0

1 year ago

WILL GIVE BRAINLIESt:

Andreyy89

Answer:

180

Step-by-step explanation:

Area of troiangle=180

A+B+C=180

22+90+B=90

112+B=180

B=180-112

B=68

perimeter=A+B+C

22+90+68=180

3 0

3 years ago

Read 2 more answers

Between what two consecutive integers is the square root of 29

lina2011 [118]

Answer: 5 and 6

Step-by-step explanation:

sqrt1=1

sqrt4=2

sqrt9=3

sqrt16=4

sqrt25=5

sqrt29~5.4

sqrt36=6

3 0

3 years ago

Read 2 more answers

Una ciudad se encuentra 17 km al oeste y 8 km al norte de otra ¿cual es la distancia lineal entre las dos ciudades?

Liula [17]

Answer:

Could you put this in english so that i'm able to answer..?

Step-by-step explanation:

6 0

3 years ago

True or false? Rates can be adjusted for different time periods. If you know how many parts can be made in an hour, then you can

julsineya [31]

Answer:

True

Step-by-step explanation:

The whole point of units conversion is to take a value expressed in one set of units (parts per hour) and translate it to a different set of units (parts per week). The rate does not have to involve time.

The statement is TRUE.

3 0

3 years ago