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Consider the following relations on {1, 2, 3, 4}.
R1 = {(2,2), (2,3),(2,4),(3,2),(3,3),(3,4)}
R2 = {(1,1),(1,2),(2,1),(2,2),(3,3),(4,4)}
R3 = {2,4),(4,2)}
R4 = {(1,2),(2,3),(3,4)}
R5 = {(1,1),(2,2),(3,3),(4,4)}
a) Which of these relations are reflexive? Justify your answers.
b) Which of these relations are symmetric? Justify your answers.
c) Which of these relations are antisymmetric? Justify your answer.
d) Which of these relations are transitive? Justify your answers.
Code a C++ program that will display the value of a given variable, and reference to another address, then, the value point-to another address. Given the value of variable is equal to 750.
the average grade of senior high school students in general mathematics is 89 and the standard deviation is 2.5 assume that the variable ks normally distributed.
a. what is the probability that the grades is will be larger than 92 if a grade selected?
b. if a sample of 15 grades is selected, what is the probability that the mean of the sample will be greater than 92?
the allowance of junior high school students is normally distributed has a mean of 18.3 pesos and standard deviation of 1.5 pesos. if 60 samples consisting og 13 JHS each are drawn from the population,what is the mean and standard deviation of the sampling distribution of means? assume that the population is infinite.
Assuming no change in temperature and pressure, calculate the volume of O2 (in liters) required for the complete combustion of 17.6 L of butane (C4H10):
2C4H10(g) + 13O2(g) → 8CO2(g) + 10H2O(l)
Assuming no change in temperature and pressure, calculate the volume of O2 (in liters) required for the complete combustion of 17.6 L of butane (C4H10):
2C4H10(g) + 13O2(g) → 8CO2(g) + 10H2O(l)
Find the linear and Bernoulli’s differential equations from the following differential equations and solve it.
i) (1 − 𝗑2) 𝑑𝑦 − 𝗑𝑦 = 1.
ii) 𝑑𝑦/dx = 𝗑𝑦2 − 𝗑𝑦.
In 2020, Melokuhle earned a salary of R20 000 a month and paid an income tax of R2 800; his salary increased to R25 000 a month, and he now pays an income tax of R3 100. This is an example of a…
regressive tax.
b.
proportional tax.
c.
progressive tax.
d.
general tax
The population in the country C descreases, due to a lower birth rate. At the same time, there is an increase in the cost of fertilizer which is used to grow vegetables. Explain how the market for vegetables will be affected by the changes. Explain how the equilibrium price and equilibrium quantity will be affected by these changes
Calculate the amount of water (in grams) that must be added to 15.0 g of sucrose (C12H22O11) to make a solution with a concentration of 7.50 mass %.
