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Let R={(1,2),(1,4),(2,1),(2,4),(3,2),(3,4)}

R={(1,2),(1,4),(2,1),(2,4),(3,2),(3,4)}

is a relation on set A={1,2,3,4}

A={1,2,3,4}

Suppose a Rn b


means that there is a path of length n from a

to b



Which of the elements are R3?



LetR={(1,2),(2,1),(2,3),(2,4),(4,1),(4,3)}

R={(1,2),(2,1),(2,3),(2,4),(4,1),(4,3)}

is a relation on

setA={1,2,3,4}

Suppose   aRnb

means that there is a path of length n

from a to b

Which of elements are of

R∞





In a certain community, it is accepted that 85% of households are two-income households. You



select a random sample of 150 households. What is the probability that more than 130 of them are



two income households?



O 0.1977



O 0.2843



O 0.8023



O 0.7157



O 0.5596

Question:

The mean score on an accounting test is 60, with a standard deviation of 8. Between which two scores must this mean lie to represent 8/9 of the data set?

Find first the value of k.


Use Chebychev’s Inequality to solve this.



"16\\begin{bmatrix}\n a & b \\\\\n c & d\n\\end{bmatrix}\\begin{matrix}\n a & b \\\\\n c & d\n\\end{matrix}\\begin{pmatrix}\n a & b \\\\\n c & d\n\\end{pmatrix}\\begin{matrix}\n a & b \\\\\n c & d\n\\end{matrix}"


(2/3-1/3)1/2


A point moves so that is always equidistant from (-5,5) and (-2,2) . Find the equation of its locus




The mean dying rate of mice administered to a given dosage of an experimental drug is 45with a variance of 25. What is the probability that among the mice, which received the drug, more than 50 will die? Assume normality



Ship A is travelling south at the rate of 2 km/hr, at the instant that ship B, which is 32 miles south of ship A, is travelling east at rate of 4 km/hr.

a) Are they separating or approaching at the end of 2 hrs, and at what rate? b) At what time are they nearest together?

c) What is their minimum distance apart?


The sides of an equilateral triangle are increasing at the rate of 3 cm/min. Find: a) the rate of change of the perimeter.

b) the rate of change of the area when the side is 3 cm. long.


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