The figure below shows a rectangular prism and a cube: A rectangular prism and a cube are drawn side by side. The length of the
rectangle prism is 4 inches, the width is 3 over 4 inch, and its height is 1 and 2 over 4 inches. The cube has a side length of 1 over 4 inch. How many such cubes are required to completely pack the prism without any gap or overlap? 288 576 1,152 1,636 Please Help
1 answer:
You might be interested in
Answer:
And we can find this probability with this difference and using the normal standard table or excel:
And the result is illustrated in the figure attached.
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 variable of interest of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with this difference and using the normal standard table or excel:
And the result is illustrated in the figure attached.
