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Show that {𝑥} ⊆ ℝ is connected.
Find the inverse of the encrypting function
F(x) =(5-x) mod 26 , 0<=x<=25
And use it to decrypt the massage '' ZRQUBFNB''
The height of male college students are normally distributed with mean of 68 inches and standard deviation of 15 inches. If 25 students each are drawn from the population, what is the probability that;
2a) the sample mean is at least 75
2b) the sample mean is less than 59
2c) the sample mean is greater than 72
A population of PWD learners in 5 schools in a certain municipality of Quezon Province are (𝒙) 9, 5, 6, 12, and 15. Suppose that two schools were selected as samples, determine the mean and variance of the sampling distribution of sample mean.
The height of male college students are normally distributed with mean of 68 inches and standard deviation of 15 inches. If 25 students each are drawn from the population, what is the probability that;
2a) the sample mean is at least 75
2b) the sample mean is less than 59
2c) the sample mean is greater than 72
Identify if the following statements are predicate logic. Give a domain of discourse for each propositional function.
(x+2)^2 is a prime number?
In a graduate teacher college, a survey was conducted to determine the proportion of students who want to major in Mathematics. If 378 out of 900 students said Yes, with 95% confidence, what interpretation can we make regarding the probability that all students in the teacher graduate college want to major in Mathematics.
Round the answer to this question to the nearest rand. David borrowed R911012,00
R911012,00 to refurbish his holiday home. The loan requires monthly repayments over 12 years. When he borrowed the money, the interest rate was 12,4% per annum, compounded monthly, but five years later the bank increased the annual interest rate to 13,9%, in line with market rates. After five years the present value of the loan is R682081,77
R682081,77. With the new interest rate, his monthly payments will increase by
A research engineer has to produce nozzles with a maximum aperture diameter of 200.5mm and a minimum diameter of 60 mm and with 4 intermediate diameters such that they form a linear progression for a fluids test rig. What are the diameters? Show your answers to one decimal place.
1) Without fully expanding (4a-b)7, determine the fifth term.
2) Find the middle term of (2c - 12𝑑)10
