Math Answers

A plant has an effective capacity of 900 units per day and produces 800 units per day with its product mix. What is its efficiency? 

Bricks Mix plant was designed to produce 7,000 hammers per day but is limited to making 6,000 hammers per day because of the time needed to change equipment between styles of hammers. What is the utilisation?

Suppose the market has 70% chance of being favourable and 30% chance of being unfoavrable. A favourable market will yield a profit of N$300,000, while an unfavourable market will yield a profit of N$20,000. What is the expected monetary value in this situation?

(08.02 MC)

An hourglass consists of two sets of congruent composite figures on either end. Each composite figure is made up of a cone and a cylinder, as shown below:

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Each cone of the hourglass has a height of 18 millimeters. The total height of the sand within the top portion of the hourglass is 54 millimeters. The radius of both cylinder and cone is 8 millimeters. Sand drips from the top of the hourglass to the bottom at a rate of 10π cubic millimeters per second. How many seconds will it take until all of the sand has dripped to the bottom of the hourglass? (4 points)

Group of answer choices

68.3

38.4

268.8

230.4

Assume that random guesses are made for seven multiple choice questions on an SAT​ test, so that there are n=7 ​trials, each with probability of success​ (correct) given by p=.65 Find the indicated probability for the number of correct answers. Find the probability that the number x of correct answers is fewer than 4 .

Let z be the random variable representing the number of blue balls. Find the values of the random variable Z.

A group of students got the following scores in an achievement test: 9, 12 15, 18, 21 and 24. Consider samples of size 3 can be drawn from this population.

B. Construct the sampling distribution of the resulting sample means

11. The battery life of a certain battery is normally distributed with a mean of 90 days and a standard deviation of 3 days.

For each of the following questions, construct a normal distribution curve and provide the answer.

a)    About what percent of the products last between 87 and 93 days?

b)    About what percent of the products last 84 or less days?

For each of the following questions, use the standard normal table and provide the answer.

c) About what percent of the products last between 89 and 94 days?

d) About what percent of the products last 95 or more days? 

The number of accidents in a production facility has a Poisson distribution with a mean of 2.7 per month. For a given month, what is the probability that there will be more than three (3) accidents?

7. Which of the following statement is not a member of set X?

X = {tiger, lion, puma, cheetah, leopard, cougar, ocelot}

A. cougar

B. bobcat

C. puma

D. Tiger

8. What type of set is H?

A. Empty

B. Finite

C. Infinite

D. None of the above.

9. Which of the ff. sets are finite?

A. {vowels}

B. {days of the week}

C. {primary colors}

D. All of the above.

10. Which of the ff. sets is equal to set P?

P = {Monday, Tuesday, Wednesday, Thursday, Friday}

A. W = {Thursday, Friday, Saturday, Sunday, Monday}

B. X = {Tuesday, Wednesday, Thursday, Friday, Saturday}

C. Y = {Thursday, Friday, Monday, Tuesday, Wednesday}

D. All of the Above.

II - Truth Table (Make a truth table for the given expression.) 10pts each.

11. (~p∧q) ∨ (p∧~q)

12. (~p∧q) ∨ (~p∨q)

III - Set Analysis.

Consider the counting numbers {1,2,3,4,5,6,7,8,9}.

Let A={1,3,5,7,9}, B={2,4,6,8}, C={3,5}

13. Find A union B. {A∪B}

14. Find A complement. {A’}

15. Find B intersect C. B∩C}