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The cashier of a fastfood restaurant claims that the average amount spent by customers for dinner is P 120. 00. A sample

of 50 customers over a month period was randomly selected and it was found out that the average amount spent for dinner

was P 112. 50. Using a 0.05 level of significance, can it be concluded that the average amount spent by customers is more

than P 120. 00? Assume that the population standard deviation is P 6.50. (Use Critical Value Method)


3.4 Which base -10 ( Dienes) blocks represent the sum of 1034 and 675?


3.2 Show your calculation and explain how base 60 number system is used to subtract 48 minutes from 2 hour 13 minutes?


suppose that during any hour in a large department store, the average number of shoppers is 448, with a standard deviation of 21 shoppers. what is the probability that a random sample of 49 different shopping hours will yield a sample mean between 441 and 446 shoppers?

The weights (in kg) of 11 Stem B follow a normal distribution and has a mean of 52 and a standard deviation of 4. How many students have weights greater than 56?

Describe the stages in development of symbolic algebra. Give at least one example of an equation for each of the stages

Draw pictures showing how 58 × 4 could be modelled with base-10 blocks or with areas on base-10 grids. (Use at least two of the methods.). Ensure that you choose one of the methods illustrated in your Tutorial 001/501.


There are 10000 people living in a certain city. Suppose that the rate of population growth in the city is proportional to the number of inhabitants. Suppose that 20% of the original amount increase in 20 years, how much will the population in the city after 40 years?


Prove by mathematical induction: 6 divides n^3 - n for n>=2



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