Answer:
Juan
Step-by-step explanation:
The number of pages that Ana, Hillary, Roger, and Juan can read in a day is shown below:
For Ana
Ana read 15% of her 46-page book.
= 15% × 46 pages
= 6.9 pages
For Hillary
Hillary read 11% of her 72-page book.
= 11% × 72 pages
= 7.92 pages
For Roger
Roger read 12% of his 68-page book.
= 12% × 68 pages
= 8.16 pages
For Juan
Juan read 14% of his 69-page book.
= 14% × 69 pages
= 9.66 pages
The person who can read greatest number of pages in a day also means the person who read the highest number of pages in a day.
From the calculation above, that person in JUAN because she can read 9.66 pages of her book in one day.
Answer:
Dependent Events
Step-by-step explanation:
Suppose we have 3 balls 1,2,3 and we have to find the probability of choosing one ball.
If the first ball is chosen the probability will 1/3 leaving behind 2 balls in the bag. If the first ball is not replaced and we have to choose again the probability of choosing the second or third ball would be 1/2 which is changed from the original probability of choosing 1 ball out of 3. In this the outcome of the first event does affect the outcome of the second, so that the probability is changed. This is when choosing is done without replacement.
In this the events are called dependent events.
Consider this scenario again and suppose we replace the first ball after it is chosen back into the bag. Then again we choose another ball . And the probability of choosing the second ball after replacement remains the same as choosing the first ball. In this he outcome of the first event does not affect the outcome of the second, so that the probability remain the same. This is done by replacement.In this the events are independent.
Answer:
Choice C)
x^2 - 2x + 4 - 12/(x+2)

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Explanation:
To see how I got that answer, I have provided two attached images below. One of them shows the polynomial long division. The other shows synthetic division. Both are valid options to get to the same answer.
For each method, I used 1x^3 + 0x^2 + 0x - 4 in place of x^3 - 4 so that the proper terms could align.