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katen-ka-za [31]
3 years ago
9

What is considered the most significant transformation in the human condition?

Advanced Placement (AP)
1 answer:
weqwewe [10]3 years ago
5 0
<span> populations grew, climates altered and different human groups interacted.</span>
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A graphic organizer can be used for a. Science information only c. Any subject b. Comparative information only d. Only subjects
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A graphic organizer can help visualize the different concepts and topics discussed for better analysis on the relationships of these varying subjects. This can involve scientific information, visual comparative information, and other subjects that can be displayed and presented unto.
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The distribution of the amount of water used per wash cycle, in gallons, by a particular brand of dishwasher during a wash cycle
coldgirl [10]

Answer:

<em>The probability that more than 3.75 gallons are used for any wash cycle is 0.8944 or 89.44%</em>

Explanation:

<u>Normal Distribution</u>

Some probabilistic events are modeled by using the so-called bell curve or normal distribution N(\mu , \sigma) where \mu is the mean and \sigma is the standar deviation. The cummulative values for the normal distribution are usually given as 'left tail' of the sum of all values less than certain maximum value. In other words, the value of P(X\leq X_o) is given by tables or any digital means because the cannot be directly computed by formulas. We used the Excel's formula called NORM.DIST(x,mean,standard_dev,cumulative).

The study case of the question provides the following data

\mu=4,\ \sigma=0.2

And we are required to compute P(X>3.75). Since the Excel formula gives us the left-tail value, we use the negation of that value to find our desired probability, that is:

P(X>3.75)=1-P(X\leq 3.75)

We now find the value of NORM.DIST(3.75,4,0.2,TRUE)=0.1056. Thus

P(X>3.75)=1-0.1056=0.8944

Thus the probability that more than 3.75 gallons are used for any wash cycle is 0.8944 or 89.44%

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