A bag contains only red, blue and green counters.
2 answers:
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Answer:
(b) -61/16 | -15/4
Step-by-step explanation:
We assume you're using a binary search successive approximation technique that starts with an interval and cuts it in half with each iteration. The final approximation of the solution to the equation will be the midpoint of the interval after it has been cut in half 3 times.
The graph shows the intersection point of the curves lies between x = -4 and x = -3.
If we define h(x) = f(x) -g(x), then our first iteration will evaluate h(-7/2) and determine which end of the interval gets replaced. The attachment shows us that the sign of h(-7/2) is the same as the sign of h(-3), so -7/2 replaces -3 and the interval after the first iteration is [-4, -7/2].
The midpoint of this interval is -15/4. The sign of h(-15/4) is the same as the sign of h(-7/2), so the interval after the second iteration is [-4, -15/4].
The midpoint of this interval is -31/8. The sign of h(-31/8) is the same as the sign of h(-4), so the interval containing the solution after the third iteration is [-31/8, -15/4]. The approximate solution value after 3 iterations is (-31/8 -15/4)/2 = -61/16.
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Answer:
(a) Mean=74
(b) Median=70
(c) The best measure of center= Median.
Step-by-step explanation:
We have been given a data set of PSAT scores of Mrs. Turay's eight graders. We are asked to find mean and median of the given data set.
(a) Let us find mean of data set by dividing the sum of given scores by the number of students.
Therefore, the mean test score will be 74.
(b) Now let us find median of our given data set. We have been given that number of students is 10, therefore, our median will be the average of 5th and 6th term.
60, 62, 67, 69, 70, 70, 71, 75, 76, 120.
We can see that 5th term is 70 and 6th term is 70 as well.
Therefore, the median test scores will be 70.
(c) We can see that our data set has an outlier score as 120, which has increased the mean. Mean score is greater than median score. Since median is not affected by extreme value outliers, therefore, median will be the best measure of center for given test scores.