Math Answers

Define a filter in time series analysis. Find the effect of a linear filter on the time series

X_t=cosθt+isinθt

I have five numbers. Their mean is 4. Their median is 3. Their mode is 3. Can you find all the different sets of five positive whole numbers that satisfy these conditions?

Find matrix and digraph of the relation R=\ (x,y)/xRy iff 2+y is every defined on the set A=\ 1,2,3,4\

A sample of 80 students was taken, and these adults were asked about the number hours they spend on academic studies per weeks. The following table gives the frequency distribution.

Studying time.  Number of students

0 - 3.           18

4 - 7.            26

8-11.            22

12 - 15.          11

16 - 19.           3

(a) find the class boundaries midpoints of the third class?

(b) Do all classes have the same width? Of so what is the width?

(c)mean

(d) mode

(e) median

(F) standard deviation

(G) prepare the frequency columns

(H) what percentage of these students that study for 8 hour?

(I) construct the Histogram for this data set and describe the shape of the distribution

(J) construct a relative frequency polygon

the mean of marriage age in Asia region IS at 25.2 years. A random of sampling is taken and as the new result, the of ages of 35 couples had a mean of 28.7 years and a standard deviation of 4.6

years. According to this new sampling, test at the 0.05 level of significance if the mean age of married couples is different from 25.2 years.

Consider a relation R=\ (1,1),(1, ), (0,2), (2,3) (3,1)) on the set A=\ 1,2,3\ Find transitive closure of the relation R using algorithm Warshall's

Find the area bounded by the given curves; y= 1/(1+x^2), x=1,x=-1. sketch the curve indicating the area bounded.

A sample of 60 Grade 9 students age was obtained to estimate the mean age of all Grade 9 students. X = 15.3 years and the population variance (σ) is 16. What is the point estimate for µ

Scientific and analysis report from Humanization and Social Journal shows the mean of marriage age in Asia region IS at 25.2 years. A random of sampling is taken and as the new result, the of ages of 35 couples had a mean of 28.7 years and a standard deviation of 4.6

years. According to this new sampling, test at the 0.05 level of significance if the mean age of married couples is different from 25.2 years.

Let A = { y € Z | y = 10b - 3 for some integer b }

B = { z € Z | z = 10c + 7 for some integer c }

Prove or Disprove that A = B