picked from I to 47 in a lotto, picked from 1 to 69 in another lotto? Why? Measures of relative position 4. Which of the following test scores is the highest relative score? Why A score of 65 on a test with a mean of 72 and a standard deviation of 8.2 A score of 102 on a test with a mean of 130 and a standard deviation of 1.85 A score of 605 on a test with a mean of 720 and a standard deviation of 116.4 a. b. с. 5. A blood pressure test was given to 450 women ages 20 to 36. It showed that their mean systolic blood pressure was 119.4 mm Hg, with standard deviation of 13.2 mm Hg. The z-score for one woman was 2.15. What was her systolic blood pressure reading? On a reading test, Shaylen's score of 455 was higher than the scores of 4256 of the 7210 students who took the test. Find the percentile, rounded to the nearest percent, for Shaylen's score. 6. 7. Rene scored at the 84th percentile on a test given to 12, 600 students. How many students scored higher than Rene? A recent survey by the U.S. Census Bureau dtermined that the median monthly housing rent was $708. If the first quartile for monthly housing rent was $570, find the percent of monthly housing rents that were More than $570 8. a. b. Less than $708 с. Between $570 and $708.
Minimization
In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in terms of global or local range. The definition of minimization in the thesaurus is the process of reducing something to a small amount, value, or position. Minimization (noun) is an instance of belittling or disparagement.
Maxima and Minima
The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.
Derivatives
A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which one would be easier? Walking on the road would be much easier than climbing a mountain.
Concavity
In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the first derivative test and second derivative test to understand the concave behavior of the function.
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