Evaluate Each of The Following Without the Use of a Calculator - Regent Business School

Assignment Task

Questions

1. Evaluate each of the following without the use of a calculator. Show all workings (steps). Write down the answer in the simplest form.

• √32 4 × √64
• 1 2 × 1 8 + 3 16) ÷ ( 5 8 + 3 16)

2. Write the following numbers in scientific notation.

• 1.2.1 0. 000785 
• 1.2.2 7.85

3. Suppose that 3000 drivers in Wakanda were randomly breath-tested on 21 April 2019 and 116 were above the limit of 0.05 blood-alcohol level. On 15 May 2019, 4000 drivers were tested and 98 were above this level.

4. What additional information would you require before trying to draw conclusion from these data?

5. What factors, other than a real change in driver behaviours, could cause such a drop in the proportion of above-the-limit drivers?

6. A set of data has an interquartile range of 20 and a lower quartile of 6. If the data is symmetrical, calculate the value of the median.

7. Rank each of the following values in order of smallest to largest:

I. the upper quartile.

II. the median.

III. the 20th percentile.

IV. decile 6.

V. the 0.38 fractile.

VI. the 70th percentile.

VII. the lower quartile

8. The price (in rands) in June of a 1 kg packet of laundry in KwaDukuza is shown is shown below for each 5 years

9. Find the percentage increase in the price of laundry detergent between each period.

10. Use the 4 percentages in question 2.2.1 above, to calculate the overall geometric mean percentage increase in the price of laundry detergent each year.

11. A manager informs 2 employees, Annie and Caroline, that their performance will be rated according to categories with the percentage weightings shown in the Table below. The one who obtains the largest weighted mean score will be awarded a salary rise

12. A box contains 5 red balls, 6 white balls, and 9 black balls. Two balls are drawn at random. (The first ball is not replaced). Find the probability that both balls are of the same colour

13. At the Durban beachfront it rains on 20% of days and it is windy on 30% of days. If rain and wind are independent, on any particular day find the probability that:

• It rains and is windy.
• It does not rain and is not windy.
• It rains or is windy.
• It does not rain or is not windy.

This Statistics has been solved by our PHD Experts at My Uni Paper.