The test grades of 10 different students were used to create the box plot above. Which of the following is the median of the set
of grades?
A. 62
B. 80
C. 71
D. 70
A. 62
B. 80
C. 71
D. 70
2 answers:
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Answer:
And we can find this probability using the complement rule and the normal standard table or excel:
The firgure attached illustrate the problem
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 retirement savings 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 normal standard table or excel:
The firgure attached illustrate the problem
70.1 ft² of fabric is needed by Lacy to make the sail boat.
<h3>Trigonometric ratio</h3>Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let b represent the base of the triangle and h the height, hence:
sin(60) = h / 18
h = 15.6 feet
sin(30) = b / 18
b = 9 feet
The area of triangle = (1/2) * b * h = 0.5 * 9 * 15.6 = 70.1 ft²
70.1 ft² of fabric is needed by Lacy to make the sail boat.
Find out more on Trigonometric ratio at: brainly.com/question/6459892
