Math Answers

The production cost, represented by y, of smart phone devices are equal to the product of computing components a and the square of the number of devices x, added to the product pf labour b and number of devices x; after which savings on reusable material c are subtracted.

2.1. Write down an equation to represent the production cost y in terms of a, x, b and c

2.2. Change the subject of the equation/formula in 2.1 to:

2.2.1.a=

b=

c=

2.2.2 Determine the production cost of 7 devices, if labour amounts to R4140, computing components cost is R1035 and savings on reusable material is R1725

1. Suppose five cell phones are tested at

random. Let D represent the defective cell phone

and let N represent the non- defective cell

phone. If we let X be the random variable for the

number of defective cell phones, construct the

probability distribution of the random variable X.

Supposed three coins are tossed. Let X be the random variable representing the number of heads occur. Construct a table that shows the sample space and values of the random variable X.

A researcher choose the participants of his study by selecting every 8th member of the population

,make a circle graph showing the difference school fees that student like you have to pay l. example: PTA , miscellaneous,school paper,SSG and other fees. explane how you applied your knowledge of central angles and arcs of a circle

In a group of students, the number of males and females studying Spanish, French or Music are given in a table below  

Spanish French Music

Males 23 12 26

Females 12 15 09

i)                  Find the probability that a randomly chosen student

a)    studies music or is female                                                              

c)    is male, given that they do not study Spanish                                 

ii)                Determine whether the events ‘a randomly chosen student is a male’ and ‘a randomly chosen student is studying Music’ are independent, justifying your answer.                                                                    

iii)              Two students are randomly selected, without replacement, what is the probability that the first student studies Spanish and the second student studies French.                               

Walking 300m south, then 500m north

Make a study about how many sheets of paper you consumed weekly in answering your Self Learning Modules. Record the quantity (total number of sheets)per subject, then construct a probability distribution. Compute the mean, variance,

and the standard deviation of the probability distribution you made. Interpret the

result, then find out how many weeks you will consume 50 sheets of pad paper.

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Two balls are drawn in succession without replacement from a box containing 4 yellow balls and 3 white balls. Let Z be the random variable representing the number of white balls. Find the values of the random variable Z.

a box contains five ball. the balls are numbered 1,2,3,4 and 5. a person randomly draws to balls from the box. let X be the sum of the numbers kf the ball drawn. what is the sum of all probabilities, P(X=x)?