Math Answers

In an achievement test, the mean score of normally distributed values is 70 and the standard deviation is 12. What is the percentage of students who got a score of 85 and above?

Determine the cost labour amounts to R1245 , with equipment renting fee of R250 , to produce 5 devices

Situation: You volunteered to be part of the medical mission in your barangay and in-charge

to get weight of the children. The weights of children have an average of kilograms

and a standard deviation of kilograms.

a. How many children weight 35 kg to 55 kg?

b. How many are in the upper 10% of the population?

c. Estimate the range of the number of children weighing

c.1. 40kg to 50kg

c.2. below 55kg

c.3. between 25kg to 58kg

Let 𝑝, 𝑞 and 𝑟 be the propositions:

𝑝: You have the flu

𝑞: You miss the final examination

𝑟: You pass the course

Express each of the following propositions as an English sentence.

i) ¬𝑞 ↔ 𝑟 [2 Marks]

ii) (𝑝 → ¬𝑟)˅(𝑞 → ¬𝑟) [2 Marks]

given the population of 5000 scores with mean = 86 and standard deviation = 10.

How many score is Below 56%

An inductance of 1 henry and a resistance of 1 ohm are connected in series with a constant EMF of E volts. If the current is initially zero, and is equal to 10 A after 5 seconds, find E.

A box contains 12 similary shaped colored balls let the random variable X represents the number on the ball (numbered from 1-12) and a ball is drawn from a box What is the probobility distrubution of X.What mean and varian of X?

A random variable has a moral distribution with mean of 60 and standard deviation 4. Find the percent data with each interval

a. Between 60 and 70

b. Between 53 and 60

c. Between 54 and 71

d. Greater than 65

c. Less than 62.48

A company is considering an investment proposal to install new milling controls. The project will cost Kshs 50,000,000. The facility has a life expectancy of five years and no salvage value. The company’s tax rate is 40%. The estimated cash flows from the proposed investment proposal are as follows:

Year                         CF Kshs 000

1                                       13,000

2                                       14,000

3                                       18,000

4                                       23,000

5                                       25,000

Compute:

a.     Accounting Rate of Return                                         (2Marks)

b.     Discounted payback period at 6% discounting factor                        (4 Marks)

c.     Net present value at 15% discounting factor and advise management on the project’s feasibility                                                                ( 4 Marks)

If an ideal is contained in union of two ideals then show that it is wholly contained in one of them