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Solnce55 [7]
3 years ago
9

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?

Mathematics
1 answer:
vampirchik [111]3 years ago
5 0

Answer:

(a) between 300 grams and 350 grams  (b) 95%  (c) 5%  (d) 83.85%

Step-by-step explanation:

We have that \mu = 325 grams and \sigma = 25 grams. Let's compute the following figures to use the empirical rule

\mu + \sigma  = 325 + 25    = 350  

\mu + 2\sigma = 325 + 2(25) = 375  

\mu + 3\sigma = 325 + 3(25) = 400  

\mu - \sigma  = 325 - 25    = 300  

\mu - 2\sigma = 325 - 2(25) = 275  

\mu - 3\sigma = 325 - 3(25) = 250  

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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Based on the box plots, the statement which is correct is that: A. The median score of Class A is greater than the median score of Class B.

<h3>What is a box and whisker plot?</h3>

In Mathematics, a box plot is also referred to as box and whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.

Additionally, the five-number summary of any box plot (box and whisker plot) include the following:

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By critically observing the box plot (box and whisker plot) which represent the math scores of students in in two different classes, we can reasonably and logically deduce the following median scores;

Median score of class A = 80

Median score of class B = 75

Therefore, a median score of 80 in Class A is greater than the median score of 75 in Class B.

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Here, the function is given by:

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On differentiating both sides, with respect to x we get

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Then, we test the signal of the derivative, which is the first derivative test.

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Thus, It is found that the Function is increasing on the interval is (-5, ∞).

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Step-by-step explanation:

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If g(x) = x^3+x

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