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A client approaches you with the news that she plans to retire on a ranch worth R3000000. She plans to save every year for 20 years. How much must she save at the end of each year if the interest rate is 12% per annum? (Round off the answer to the nearest rand.).
Many things closely follow a normal distribution. Give five examples of real-life data which follow this type of pattern. Example: heights of people
Klipatrick etc Al (2001) came up with five strands or components of mathematical proficiency.Show step by step how you as a teacher can lead learner's towards procedural fluency with conceptual understanding when they convert the decimal fraction 0.25 to common fraction 1/4.Make use of some visual aid like a number line or place value chart support your verbal explanations.
1. Teaching long division of 357÷19 for instrumental understanding
2. Teaching long division of 357÷19 for relational understanding
The integrated curriculum mode,sometimes referred to as integrative teaching,is both a method of teaching and a way of organising the teaching programme so that many subject areas and skills provided in curriculum can be linked to one another. Provide an example of how you,as the teacher,could use the content in natural sciences as a vehicle for mathematical skills development
9. A garage offers a breakdown recovery service for motorists that is available every day of the
year. According to their records the number of call-outs they received per day last year were:
Number of call-outs: 0 1 2 3 4
Number of days: 68 103 145 37 12
Required: What is the probability that
A. They receive two call-outs in a day?
B. They receive two or fewer call-outs in a day?
C. They receive one or more call-outs in a day?
D. They receive less than four call-outs in a day?
E. They receive more than two call-outs in a day?
reading test is given to an elementary school class that consists of 12 Anglo
-
American children and 10 Mexico
-American children. The results of test are :
Anglo American Mexico American
Mean 74 70
Std.
8 10
Is the difference between means of the two groups significantly at the 0.05 level of
significance? Value of
t at 5% level for 20 degree is freedom is 2.086
.
How would you use a teacher-centred media resource to explain the meaning of (7×8) to grade 5 learner? Use two different illustrations to show your understanding
4. The following are the list of enrollments for the colleges that offer bachelor's degree in different field of studies
1750, 1069, 1723, 1827, 1155, 1714, 2391, 2155, 1412, 1688 2471, 1759, 3008, 2511, 2577, 1082, 1067, 1062, 1319, 1037, 2400.
1013, 1867, 1268, 1666, 2309, 1231, 3005, 28 , 2166, 1136, 1532, 1461,
Required: Using the given information you are request to compute the following:
A. Construct a grouped frequency distribution with the six classes.
B. Identify the modal class and calculate the mean for the distribution.
C. Determine the modal class and calculate the mean for the distribution.
5. Given the following data, (A) Find the median, quartiles and semi-interquartile range, (B) Find the 8 ^ (th) deciles and 85 ^ (th) percentiles.
1976, 2162, 1502, 1782, 1523, 2033 1564, 20, 19 , 1714, 1841 1648, 1 1345, 1837, 1718, 2047, 1954, 2000, 1479, 2571, 1739, 1781
6. Two neighbors work at the same place. One travels to work by bus, the other cycles to work. The times taken (in minutes) by each transport to get to work on a sample of 8 days were given as follows:
Bus-33, 28, 40, 32, 41, 32, 38, 42
Cyclist-26, 33, 27, 31, 31, 30, 28, 24
Required: Calculate the mean and standard deviation for each set of times and use them to compare the travel times for the two commuters.
7. An electrical goods retailer sold video recorders to 8200 customers last year and extended warranties to 3500 of these customers. When the retailer sells a video recorder, what is the probability that:
A. The customer will buy an extended warranty?
B. The customer will not buy an extended warranty?
