A rectangular tank is 100 cm long, 30 cm wide and 12 cm deep. What is the estimated capacity of the tank half full? Hint: 1000 c
1 answer:
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Answer:
You can see the graph in the attached file.
Step-by-step explanation:
You need to propouse values of x, and substitue into the equation to get the corresponding value of y. In other words you need to evaluate the function for each value of x. With those values you can build the table.
For example choose the value x = 0, then you can calculate the value of y:
f(0) = 6
Then when x = 0, y = 6
The coordinates for the graph (x, y) = (0, 6)
For the table choose different values, include: zero, negative and positive numbers.
x y
x = f(x)=
-20 -15330794
-15 -3582444
-10 -456694
-5 -12794
-1 2
0 6
1 4
5 17456
10 535306
15 3984306
20 16605206
Review the attached excel file, there you will see the table and how to do the calculations in the cell.
Once you have the values in the chart, select the data. Then from the bar choose insert and then select the xy scatter.
Also you can see the graph in the file.
Answer:
And for this case we can use the complement rule and the normal standard distribution of excel and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where and
And we select a sample size of n =70
From the central limit theorem (n>30)we know that the distribution for the sample mean is given by:
And we want to find this probability:
And we can use the z score formula given by:
And using this formula we got:
And for this case we can use the complement rule and the normal standard distribution of excel and we got: