Answer: Figure QRTS is congruent to figure Q'R'T'S'.
Step-by-step explanation:
A reflection is a rigid motion, and rigid motions preserve congruency.
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}}](https://tex.z-dn.net/?f=%5Ctext%7BHigher%20Confidence%20Interval%2C%20CI%7D_%7BH%5Ctext%7B%20%3D%20%7D%7DX%5Ctext%7B%20%2B%20%7D%5Cfrac%7BZ%5Csigma%7D%7B%5Csqrt%5B%5D%7Bn%7D%7D)
![\text{Lower Confidence Interval , CI}_{L\text{ }}=\text{ X - }\frac{Z\sigma}{\sqrt[]{n}}](https://tex.z-dn.net/?f=%5Ctext%7BLower%20Confidence%20Interval%20%2C%20CI%7D_%7BL%5Ctext%7B%20%7D%7D%3D%5Ctext%7B%20X%20-%20%7D%5Cfrac%7BZ%5Csigma%7D%7B%5Csqrt%5B%5D%7Bn%7D%7D)
It means that:
![\text{Margin of error, }\frac{Z\sigma}{\sqrt[]{n}\text{ }}\text{ = }\frac{CI_{H\text{ - }}CI_L}{2}](https://tex.z-dn.net/?f=%5Ctext%7BMargin%20of%20error%2C%20%7D%5Cfrac%7BZ%5Csigma%7D%7B%5Csqrt%5B%5D%7Bn%7D%5Ctext%7B%20%7D%7D%5Ctext%7B%20%3D%20%7D%5Cfrac%7BCI_%7BH%5Ctext%7B%20-%20%7D%7DCI_L%7D%7B2%7D)
where,
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}](https://tex.z-dn.net/?f=%5Ctext%7BMargin%20of%20error%2C%7D%5Cfrac%7BZ%5Csigma%7D%7B%5Csqrt%5B%5D%7Bn%7D%5Ctext%7B%20%7D%7D%5Ctext%7B%20%3D%20%7D%5Cfrac%7B5%2C836%2C180%5Ctext%7B%20%20-%20%7D2%2C181%2C260%5Ctext%7B%20%7D%7D%7B2%7D)
CONCLUSION:
The margin error for the confidence interval is 1, 827, 460
Answer: 15 ounces of wine
Step-by-step explanation:
A five-ounce glass of wine which is 12 percent alcohol), a 12-ounce of beer, and a 1.5 ounces of 86-proof liquor all have approximately thesame amount of alcohol.
Therefore, 36 ounces of beer will be:
= 36 × 5/12 ounces of wine
= 15 ounces of wine
Rational Numbers: Any number that can be expressed as a fraction or ratio that may contain repeating decimals, or terminating decimals.
Irrational Numbers: Any number that cannot be expressed as a fraction or ratio that has non-repeating non-terminating decimals.
With this information, sort the given values into one of each of these categories.
Cheers.
Answer to part A: 0.63
Answer to part B: 0.37
Answer to part C: organic oranges
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Work Shown:
Part A
P(Organic|Oranges) = P(Organic AND oranges)/P(Oranges)
P(Organic|Oranges) = 0.19/0.30
P(Organic|Oranges) = 0.63
Part B
P(Non-organic|Oranges) = P(non-organic AND oranges)/P(oranges)
P(Non-organic|Oranges) = 0.11/0.30
P(Non-organic|Oranges) = 0.37
Part C
The probability in part A is larger compared to the answer in part B, so it's more likely to have someone pick organic oranges rather than non-organic oranges. Melina should restock organic oranges for the next sale.
