The figure is a parallelogram. One diagonal measures 28 units. A parallelogram is shown. It has side lengths 21, 20, 21, and 20.
The length of a diagonal is 28. Is the figure a rectangle? Explain.
1 answer:
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Answer:
Step-by-step explanation:
<h3>Answer: 2880 pounds per square foot</h3>
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Explanation:
psi = pounds per square inch
1 foot = 12 inches
1 square foot = 144 square inches
I squared both sides to get the second equation. Think of a 12 by 12 square representing 12 inches along each side, so that leads to 12*12 = 144 square inches being the same as 1 square foot.
That last equation helps us convert from square inches to square feet like so:
Notice in the jump from the second step to the third step, we have the "square inches" unit cancel out when dividing. All that's left is "pounds" up top and "square foot" down below.
In short, we simply multiply by 144 to go from 20 to 2880.
Answer:
a)
And we can find this probability using the complement rule and the standard normal table or excel:
b)
And we can find this probability using the standard normal table or excel:
c) For this case we have a total of 868 cups and we know that the fraction of cups that will be overflow is 0.159, so then the expected number of cups overflow would be:
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".
Part a
Let X the random variable that represent the amount of soft frink 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 using the complement rule and the standard normal table or excel:
Part b
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 using the standard normal table or excel:
Part c
For this case we have a total of 868 cups and we know that the fraction of cups that will be overflow is 0.159, so then the expected number of cups overflow would be: