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ivolga24 [154]
3 years ago
5

A triangle ABC with vertices A (1, 5), B (5, 2), and C (-1, 2) is rotated 90º . What are the coordinates of C'?

Mathematics
1 answer:
pshichka [43]3 years ago
4 0
The answer is (-2,-1), by the formula:
R90 (x,y)= (-y,x)
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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
In Ms. Henrick's class, there are 10 boys and 12 girls. What is the ratio of boys to girls? Express your answer as a fraction in
andreev551 [17]

Answer:

The ratios is 10:12 and if you were to write it in a fraction you get 10/12 which is simplified as 5/6

Step-by-step explanation:

8 0
3 years ago
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BabaBlast [244]

Answer:

I and G

Step-by-step explanation:

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3 years ago
HELP ASAP PLEASE
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Answer:

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Step-by-step explanation:

<u>Given:</u>

  • Initial mass is m = 80 g.
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<u>Number of half-life periods:</u>

  • r = 60/10 = 6

<u>Equation for remaining sample:</u>

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2 years ago
Write the word sentence as an equation. Then solve the equation.
Nana76 [90]

Answer:

x/-9 = -16 ; 144

Step-by-step explanation:

x is the variable for "a number". It is being divided by -9, so x must be divided by -9. The number divided by -9 equals -16, so -16 must go on the other side of the equation. To solve, multiply both sides by -9 to cancel out the fraction and isolate the variable.

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