Math Answers

An inventor has developed a new, energy efficient lawn mower engine. He claims that the engine will run continuously for 5 hours (300 minutes) on a single gallon of regular gasoline. Suppose a simple random sample of 50 engines is tested. The engines run for an average of 295 minutes, with a standard deviation of 20 minutes. Test the hypothesis that the mean run time is 300minutes against the alternative hypothesis that the mean run time is not 300minutes using a 0.05 level of significance

Suppose a population is composed of only 3 measures: 1, 2, and 3. The possible samples of

size 2 can be draw from this population. List all the possible sample size 2 when repetition

allowed or with replacement.

Andile deposits R900 into a savings account paying 6.5% interest per year, compounded quarterly.After three and a half years he withdraws R1000 from the account and deposit it into a second account paying 11% simple interest per year.

1.How much is the total amount accrued in the first account two years after withdrawing R1000 the correct answer rounded to the nearest Rand is?

*R145

*R1105

*R605

*R128

2. The number of years after Andile deposited the 1000 ino the second account,accrued amount in the second account is 1605.The time (correct to two decimal places) the money was is invested for, is

*4.36 years

*5.50 years

*9.31 years

*4.53 Years

An effective rate of 29.61% corresponds to a nominal rate, compounded weekly,of?

*34.35%

*29.53%

*26%

*29.61%

Consider a relation R on a set A = { 2, 4, 7 }.

Given the relation R = { (2, 2), (2, 4), (2, 7), (4, 7}. Find:

1. Complement of a Relation

_____________________________________________________

_____________________________________________________

2. Inverse of a Relation

__________________________________________________________________________________________________________

3. Composite Product R o S and S o R ; S = { (1, 2), (2, 4), (2, 7) }

The function f: R→R defined by f(x)= | x-1|+ | 3-x| is differentiable at x= 4.

True or false with full explanation

a new brand of handbags comes in 5 different designs and each available in 4 different colors. If an outlet wishes to display these handbags with all the design and colors, how many handbags should be displayed

1) Integrate dx/2√2x^3

Mr. Ybarola conducted an examination on his subject. He has determined that the mean

score of all those who had taken the test is 89 and its standard deviation is 4.

1. Determine the 𝑧-score of Karlie who scored 94 in the test.

2. What is the raw score of Sayrille, whose 𝑧-score is -0.12?

3. If a student is picked at random, what is the probability that his score lie between

75 and 85?

4. A student is picked at random. What is the probability that his score is above 93?

If 1 + 2 = 3, then 3 is odd.