Homework Answers

. Determine the value of the unknown in the given matrix equalities

(i)

(5 −2

−4 3 )+

(x y

w z)

=

(2 −1

3 6 )

The Following are the height in centimeters and weights in kilogram of 5 teachers in a certain schools.Determine they relationship between the height (cm) and weight (kg)

Teacher A B C D E

HEIGHT (cm) X 163,160,168,159,170

Weight (kg) Y 52, 50, 64, 51, 69

Show that the explicit sequence {an} where an= 2n+1

-1 for n > or = to 1 is a

solution of the recurrence relation: an= 3an-1 – 2an-2 , n >or = to 3

Solve r and interpret the result

X 2,4,6,7,10

Y 8,10,12,6,16

In the given table on the below, solve for Pearson r and interpret the result

X 80,84,86,87,89,90,91,93,94,96

Y 78,83,80,84,89,90,88,91,93,96

4b Covert into rectangular coordinates (4,-2π÷3)

4a plot the following points in the same polar coordinates system

(3,π÷4),(-3,π÷4),(3,π÷4),(-3,-π÷4)

The school provided five hundred juice boxes and six hundred and fifty water bottles on a sports day. Two hundred fifty-six learners participated in different sporting codes, and each received two water bottles and one juice box.

4.1.1 What is the total number of water bottles and juice boxes that remained from the sports day?

2. Consider the population consisting of the values (1, 2, 8). List all possible samples of size 2 which can be drawn without replacement from the population. Find the following:

a. Population mean

b. Population variance

c. Population standard deviation

d. Mean of the samples and mean of the sampling distribution of mean

e. Variance of the sampling distribution of means

f. Standard deviation of the sampling distribution of means