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How many ways can a club select a president, vice president, and a secretary from a group of 9 people?
Construct a combinatorial circuit using inverters, OR gates, and AND gates that produces the output
((¬p ∨¬r) ∧¬q) ∨ (¬p ∧ (q ∨ r)) from input bits p, q, and r.
A group of young researchers would like to know the influence of religion on the voting scheme of first-time voters. In 3200 students in school, the researchers fractionated the population-based on religion and came up with a sample size of 399 using Slovin’s formula. The researchers randomly selected the 399 participants and are now set to conduct the study.
Find all solutions for each of the following systems of equations (if the system is consistent):
(a) 6.5x − 2y = 7 (b) 3.5x1 + 4.5x2 + 5.5x3 = 11
2x − 0.75y = 1.75 x1 + 4x2 − 7x3 = −16
12x − y = 21 0.5x1 − 0.75x2 + 0.75x3 = 3.5
(c) − 0.75x1 + 0.75x2 = −6 (d) 3.4x1 + 3.4x2 − 15.3x3 = −20.4
2.5x1 + 2x2 − 4.5x3 = 2 0.5x1 + 0.25x2 − 0.75x3 = 1
1.25x1 + 1.25x2 − 2.5x3 = 0 0.75x1 + 0.5x2 − 1.5x3 = 1
Please note: You should use Matlab to write your systems in reduced row echelon form, but have to
interpret the results and give the solution(s) if the system is consistent.
Please help me with this answer
♠️=7
♦️=5+♠️
♠️=1+♣️♣️♣️
♠️+♦️+♣️=?
random samples with sise 4 are drawn from the population containing the values 14, 19, 26, 31, and 53
- construct a sampling distribution of the sample means.
- find the mean of the sample means.
- compute the standard error of the sample means.
Professor Z conducted a periodic examination on all his students enrolled in Math 11. The scores are normally distributed with a population standard deviation of 10. He randomly selected 125 students and obtained a mean score of 60.
a, What is the population of interest?
b. What is the point estimate of the population mean?
c. Compute the standard error of the mean.
d. At 95% confidence level, what is the margin of error?
e. Find the 90% confidence interval for the population mean.
f. Find the 95% confidence interval for the population mean.
g. Find the 98% confidence interval for the population mean.
random samples with sise 4 are drawn from the population containing the values 14, 19, 26, 31, and 53
Edwill just purchased a new home costing R1 107 900,00 by paying R120 000,00 cash on the purchase date,
and agreeing to make payments at the end of the following eight years for the remainder owed; the first
payment is due one year after the purchase date. The interest rate is 7,4% per annum, compounded yearly.
Considering the amortisation schedule, the percentage, rounded to two decimal places, of the total payments
made the first two years that will go toward repayment of interest, is
[1] 43,51%.
[2] 41,42%.
[3] 58,58%.
[4] 70,71%.
Round the answer to this question to the nearest rand. David borrowed R911 012,00 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 R682 081,77. With the
new interest rate, his monthly payments will increase by
[1] R12 745,00
[2] R7 705,00
[3] R3 649,00
[4] R558,00
#339914 on Dec 2023