The weight of an organ in adult males has a bell-shaped distribution with a mean of 325 grams and a standard deviation of 25 gr
ams. Use the empirical rule to determine the following. (a) About 68% of organs will be between what weights? (b) What percentage of organs weighs between 275 grams and 375 grams? (c) What percentage of organs weighs less than 275 grams or more than 375 grams? (d) What percentage of organs weighs between 300 grams and 400 grams?
1 answer:
Answer:
(a) between 300 grams and 350 grams (b) 95% (c) 5% (d) 83.85%
Step-by-step explanation:
We have that grams and
grams. Let's compute the following figures to use the empirical rule
using the image below that was made it with help of the empirical rule we find the next figures
(a) About 68% of organs will be between 300 grams and 350 grams
(b) 95% of organs weights between 275 grams and 375 grams
(c) 5% of organs weights less than 275 grams or more than 375 grams
(d) 83.85% of organs weights between 300 grams and 400 grams
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Answer:
See the image attachment. It shows the three inequalities
the inequalities are all stacked on each other with a large curly brace written off to the left
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Explanation:
Let,
m = number of miles Tracy runs
s = number of scrimmage games Tracy plays
m and s are integers
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Each mile takes 6 minutes, so running m miles takes up a total of 6m minutes.
Each scrimmage game takes 30 minutes, so in total she uses up 30s minutes of time if the number of games she plays is 's'.
In total, Tracy uses up 6m+30s minutes running and playing scrimmage games. The max time allotted for her is 2 hours or 120 minutes. Therefore, is one inequality that makes up the system of inequalities.
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We know that 'm' is positive, and we also know that m cannot get larger than 5, so we can write . This says "m is between 0 and 5 including both endpoints".
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For similar reasons in the last section above, we also know that 's' is positive as well; however we have no upper bound restrictions on 's'. So we simply say
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Overall, the system of inequalities has these three inequalities:
they are all stacked on each other and written with a large curly brace to the left hand side of this stack. The large curly brace is just a way of keeping things together in a group or collection so to speak. A paired right curly brace is not included.
A visual reference of the answer is attached as an image below, just so you can see what I mean by the large curly brace.
