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Zaheeda scored 9 goals in 5 netball matches at this rate about how many goals will she score in 10 games?

Prove that continuous function of a continuous function is continuous.


Solve the pair of equation 2y^-1 -3z^-1=4 and 4y^-1+z^-1=1

Given that log4 (y-1) +log4(x/1)=1 and log2 (y+1)+log2 x=2,solve for x and y





Solve the equation m2 +n2=29 and m+n =7

Form the quadratic equation for which the sum of the roots is 5 and the sum of the squares of the roots is 53

Verify cayley hamiltan theorem for A=[ 124212421]

A man who earns 400 pay 10% of the first 100 and 5% of the next 200 as tax. How much tax does he pay

1.     The mean life time of a sample of 16 fluorescent light bulbs produced by a company is computed to be 1570 hours. The population standard deviation is 120 hours. Suppose the hypothesized value for the population mean is 1600 hours. Can we conclude that the life time of light bulbs is decreasing?   (Use  and assume the normality of the population) 



The probability function of a discrete random variable X is as follows:

Values of X: x -4 -2 0 2 4

P(x) k 2k 3k 5k 6k


i) Find the value of k.

ii) Find the probability of the value of X exactly one.

iii) Find the probability of the value of X between -2 and 2.

iv) Estimate expected value and standard deviation of X.



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