Math Answers

Let T be a random variable giving the number of heads in

three tosses of a coin. List the elements of the sample

space S for the three tosses of the coin and assign a value

to each sample point.

6. Given a set of n numbers which of the following is not changed by adding a

non-zero constant to each of the numbers.

A. the median                     B.the mid-range

C.the arithmetic mean      D.the standard devation

7. From the following which is the best measure of dispersion?

A. Range                         B. standard devation

C. Quartile devation      D. The 10-90 percentile range

8. Suppose the mean score of 35 students in an exam of a course was found to be 76. But later on it is discovered that the scores of two students 84 and 93 was misread as 48 and 39. Then the correct mean was (in one decimal place)

A. 78.6          B. 73.4       C. 74.0    D. 81.1

Part 1. Choose the correct answer and write the letter responding to it on the answer sheet.

1. The type of graph for grouped frequency distribution that plot marks against frequency

A. O gives                           B. Vertical line graph

C.Frequency polygon        D. Histogram

E. None

2 In a histogram, the bar with the greatest height represents

A. The median group

B. Interval containing the mean value

C.The modal group

D. Interval with greatest variation

E. None

3. If the price of a commodity increasca from birr 16 to birr 81 in a period of four years

Then the average percentage increase in price per year is

A. 50%          B. 65%          C. 16.25%       D.50.6%

4.The harmonic mean of the numbers 1, 2, 3,6,12 is

A. 4.8         B. 24          C. 10          D. 3.6

5. The mean age of students in three sections consisting of 38, 30. and 32 students are 35, 29, and 25 years respectively then mean age of all the students taken together is

A. 33.3 yr      B. 29.7 yr       C. 29.5 yr      D. 30.0 yr

How to find domain and range of an exponential function using a graph

1)    Translate the given statement into propositional logic using the propositions provided

You cannot edit a protected Wikipedia entry unless you are an administrator. Express your answer in terms of e: “You can edit a protected Wikipedia entry” and a: “You are an administrator.

A bank pays interest continuously at the rate of 6%. How long does it take for a deposit of Q0 to grow in value to 2Q0

Question: Apply the Linear dependence and Linear Independence in vector definitions and show that the given vectors are Linearly dependant or independent vectors in R⁴.

V₁ = (1, 3, -1, 4)^T, V₂= (3, 8, -5, 7)^T, V₃= (2, 9, 4, 23)^T.

To make a certain drink you need to mix 200 millimeters of concentrate with 1.2litres of water. Determine the ratio of concentrate to water how much concentrate will you need if you make up a total of 14 litres of this drink

Assume that 𝛼 is increasing on [𝑎, 𝑏]. Note that if 𝑓 ∈ 𝑅(𝛼) on [𝑎, 𝑏], then 𝑓

A company manufactures two products X and Y. Each product has to be processed in three departments: welding, assembly and painting. Each unit of X spends 2 hours in the welding department, 3 hours in assembly and 1 hour in painting. The corresponding times for a unit of Y are 3, 2 and 1 respectively. The man-hours available in a month are 1500 for the welding department, 1500 in assembly and 550 in painting. The contribution to profits are $100 for product X and $120 for product Y.

Formulate the appropriate linear programming problem

Solve it graphically to obtain the optimal solution for the maximum contribution