Math Answers

Suppose a population is composed of only 3 measures: 1, 2, and 3. The possible samples of size 2 can be draw from this population. List all the possible sample size 2 when repetition is allowed or with replacement. With solution

In a fuel economy study, each of 3 race cars is tested using 5 different brands of gasoline at 7 test sites located in different regions of the country. If 2 drivers are used in the study, and test runs are made once under each distinct set of conditions, how many test runs are needed?

Using the provided information below,

x=33.2 , x2=131.67, y=30.78 , y2=116.52image.png, xy=119.8 , and n=10image.png

Find the sample correlation coefficient rimage.png (4mks)

Find the co-efficient of determination

On his 40th birthday ofentse decides he will buy a bike trailer for his 50th birthday. he estimates that it will cost him 48 000 when he turns 50.he starts saving immediately each month paying an amount into an account earning 8.58% interest per year ,compounded monthly the monthly amount payment is

1.592,95

2.597,19

3. 252,18

4. 253,99

Fatu took out an endowment policy. the first annual payment was RX whereafter it increased yearly by 1700.after 20 years the policy paid out 1 005 962.the applicable yearly interest rate is 10% the value of x is approximately

1. 11 816

2. 17 564

3. 6 500

4. 564

Lesedi buys a house and make a down payment of 16% of the price of the house. for the remaining amount,she manages to secure a loan at an interest rate of 12.05% per year,compounded monthly for a period of 20 years her monthly her payment is 18556.84

A..The size of the loan ( to the nearest Rand is)

1. 4 453 642

2. 1 680 000

3. 2 167317

4. 1 338320

B.. The down payment is

1. 213 411

2. 320 00

3. 346 771

4. 268 800

You are deciding between two portfolios; Portfolio A which is made up of stocks and treasury bills, and Portfolio B which comprises of risky bonds and treasury bills. The table below contains information on both portfolios that you collected.

Information

Portfolio A

Portfolio B

Mean returns

0,13

0,16

Standard Deviation

0,11

0,09

Expected Returns

0,15

0,12

Threshold level

0,07

0,07

a) What is the probability that the returns of Portfolio A lie between 15 and 25 percent?

b) If the probability that the returns of Portfolio B would be greater than X is 0.2676, what is the value of X?

c) Which portfolio is the optimal portfolio considering your threshold level?

d) For the optimal portfolio found in (c), what is the probability that the portfolio will earn a return below the threshold level?

Find the volume of the region bounded above by the plane z = y/2 and below by the rectangle.

R ∶ 0 ≤ x ≤ 4,0 ≤ y ≤ 2

Define permutation function and find out all permutation on the set S = {𝑎, 𝑏, 𝑐}

Determine whether each of the function from 𝑍 to Z is onto

(a) 𝑓(𝑛) = 𝑛³

(b) 𝑓(𝑛) = 𝑛² − 1