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1.   XYZ limited has project which is expected to yield the following cash flows:

Years

Cash flows

1-4

10,000

5-11

15,000

12-17

20,000

18-Infinity

30,000

 

The annuity between year 5-9 is received at the beginning of each period. The cost of capital is 12%. Calculate the present value of the differential annuities using the two approaches


An industry manufactures bus tyres that have an average lifetime of (42569) kilometers with a standard deviation of (2569) kilometers and the distribution of lifetime of the tyres is normal.



1-Find the probability of tyre’s lifetime is between (40069) km and (45069) km



2-What is the lifetime in km, that 69 % of tyres exceed?


Your parents set up a trust fund for you 10 years ago that is now worth R19 671,51. If the fund earned 7% per year, how much did your parents invest?


Write the formula to find massof an object in 2-D coordinate system

A youngathlete wishes to test if the average cost of men's athletic shoes is less than P4000 compared to the claim that it is at least P4 000. He selects a sample of 36 pairs of shoes from a catalog and finds the average cost to be P3 790. The standard deviation of the population is P660. What is the probability of committing a type I error


Find the asymptotes of y^2(a+x) =x^2(3a-x) parallel to coordinate axes



seven students were on a diet in an attempt to lose weight with two losing weight while all the others gaining weight. is the diet an effective way of losing weight in business statistics


What I Can Do


Make use of your acquired skills in this lesson.


Instruction: Read and analyze the following situations, Determine whether the following statements have a known (or can be computed) or unknown population. variance. Write your answer on the space provided. Also, identify the formula to be used for the standard error of the mean by writing d, when the population variance is known and sy when the population variance is unknown.


Situation


Answer


Standard Error Formula


and


1. A population has a mean of 85 and a standard deviation of 6. A random sample of 22 measurements is drawn from population.


2. The weights of female SHS students are


normally distributed with a mean of 45kg Twenty samples consisting of 10 students are drawn from the population and found to have a mean of 46 kg and a standard


deviation of 1.24kg.


231


3. A random of n=70 measurements are obtained from a population with a mean of 156 and a standard deviation of 23


4. A manufacturer of nylon synthetic


Years Cash flows 1-4 10,000 5-11 15,000 12-17 20,000 18-Infinity 30,000 The annuity between year 5-9 is received at the beginning of each period. The cost of capital is 12%. Calculate the present value of the differential annuities using the two approaches

A certified public accountant claims that more than 30% of all accountants advertise. A sample of 400 accountants in Rizal province showd that 112 had used some form of advertising. At a ?0.01, is there enough evidence to support the claim? (Use p-value method)

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