In November 2024
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Illustrate the steps each time on the number line where you will explain to a grade 6 class how numbers can be negative and positive.
use the case of Mpho who has R5 and she buys a packet of chips for R8 at the tuck shop . the next day she brings R10 to the tuck shop and buys a lolly for R2 .Show how her money goes up and down and where she ends up.
Draw Dienes block to show how to find the solution to:
a) 78 + 56
b) 102 − 45
If 28 counter are a whole set, how many are there in fifth seventh set
(a) Where in the world do we find evidence that people measured things? (1)
(b) Approximately to what year does this evidence date back? (1)
(c) Give detail of how measuring was done in that time. (2)
(d) Where in CAPS is this type of measurement covered as a topic
Where in CAPS is this type of geometry covered as a topic?
A resort owner does a daily water quality test in their swimming pool. If the level of contaminants is too high, then he temporarily closes the pool to perform a water treatment
We can state the hypothesis for his test as;
Ho: the water quality is acceptable
Ha: the water quality is not acceptable
1. What would be the consequences of type I error in this setting?
2. What would be the consequences of a Type II error in this setting?
3. In terms of safety, which error has more dangerous consequences in this setting?
The average number of yearly accident at a traffic intersection is 5. Find the probability that there are exactly three accidents at the same intersection this year.
- There were ten red bottles sitting on the wall. The probability of a red bottle accidentally falling is 0.95. What is the probability that fewer than 8 of the green bottles accidentally fall?
1. A magazine conducted a survey about the sleeping time of adults. A random sample
of 12 adults were chosen from the adults travelling to work on a train.
a. Give reason why this is an unsatisfactory sample for the purpose of the study.
b. State a population for which this sample would be satisfactory.
2. A machine is designed to make paperclips with mean mass 4.00g and standard
deviation 0.08. The distribution of the masses of the paperclips is normal. A quality
controller weighs a random sample of 25 paperclips and find their total mass to be
101.2g.
a. Describe the use of hypothesis testing in real world.
b. Conduct a hypothesis test at 5% significance level to test whether this provides
evidence of an increase in the mean mass of the paperclips.
Find the solution set of the following using 3 methods. Show your solutions, then submit your answer to your eLMS dropbox.
1. 2x + y = 15
x - y = 9
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