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An engineer earns £21016 per annum and receives annual increments of 4%. Determine the salary in the 9th year and calculate the total earnings in the first 11 years.
Consider the random event of tossing four coins once, then follow these steps:
1. List all the possible outcomes using the tree diagram.
2. Determine the sample space.
3. Determine the possible values of the random variables.
4. Assign probability values P(X) to each of the random variable.
5. Construct a probability histogram to describe the P(X).
Answer the following guide questions:
1. How many possible outcomes are there?
2. What composes the sample space?
3. How will you describe the histogram?
What is the 10-bit string for the complement of 10-bit string 1010101010.
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 study of 40 SHS English teachers established that they spent 12.6 minutes revising a student’s term paper.
Find the 90% confidence interval in the mean time for all composition papers when minutes.
If the teacher affirmed that she spent an average of 30 minutes revising a term paper, what would be your reaction?
Find the sample size to estimate a population mean within 95% confidence if the standard deviation is 6.2.
The prices for LED are listed: 22 500, 24 000, 21 500, 20 200, 20 600, 21 100, 210 000, 19 300, 25 000 and 22 500. Estimate the true mean of the data set with 90% confidence level.
Louie wants to estimate the average value of the lot in his town with 99% confidence interval. Use his random sample of 36 lots with an average value of Php251, 131.42 and a standard deviation of Php1 321.467 to find the confidence interval.
As a Senior High School Student, how much time do you spent in studying and answering the activities in your modules? Do you spend 25 hours in a week or more than that? Suppose that the average number of hours spent by senior high school students in your school for their modular classes in a week is 25 hours with a standard deviation of 4 hours. Assuming that the study is true and the data is normally distributed. What is the probability that a random sample of 12 senior high school students spends more than 24 hours?
A firm's average revenue function AR=−18−7,5Q+Q2.AR=−18−7,5Q+Q2.
Determine the number of units to be produced and sold to maximise revenue.
Write and execute a MATLAB program to solve the following function by Bisection Method
f(c )= 9.8 * 68.1/c [1- e(-0.146813c) ] – 40. Search your answer between c values 12 to 16.Assume minimum error to be considered as 0.001.
In a study of inter spousal aggression and its possible effect on child behavior, the Behavior
Problem Checklist (BPC) scores were recorded for 47 children and whose parents were classified as
aggressive. The sample mean and standard deviation were 7.92 and 3.45, respectively. For a
sample of 38 children whose parents were classified as non-aggressive, the mean and standard
deviation of the BPC scores were 5.80 and 2.87, respectively. Do these observations substantiate
the conjecture that the children of aggressive families have lower mean BPC than those of non-
aggressive families? Use a significance level of 0.05.
the average number of pages in a novel is 326 with a standard deviation of 24 pages. If a sample of 50 novels is randomly chosen, what is the probability that the average number of pages in these books is between 319 and 331?
