Math Answers

Solve (y ^ 2 * z)/x * p + xzq = y ^ 2 .

Solve (y ^ 2 * z)/x * p + xzq = y ^ 2 .

Solve the following LP problem by graphical method: Maximise Z = 300X1 + 700X2

Subject to the constraints: X1 + 4X2 ≤ 20 2X1 + X2 ≤ 30 X1 + X2 ≤ 8 And X1, X2 ≥ 0

Suppose f : N → N is a function defined by ƒ(x) = a(x + b), where a, b E N. If f is a bijective function,

then find the value of a + b.

prove a --> ( b V c ) using contradiction method and combination of inference rules and equivalence laws from these premises : 1. a --> ( d V b ) 2. d --> c

Nikbakht has received an email from an unknown mailer offering an entry into a lottery. For a price, he can get a ticket that may pay a prize double the price. He buys 2 tickets. Unknown to him an unfair system determines a winner where losing is two times more likely than winning. In what ways is this lottery unfair? What is the expected value of this lottery? In your estimation how much has he paid?

11. Find z if the standard normal-curve area

a) between 0 and z is 0.4726;

b) to the left of z is 0.9868;

c) to the left of z is 0.3085;

d) between -z and z is 0.9282

12. If a random variable has the normal distribution with \mu = 82:0 and

\sigma = 4:8, nd the probabilities that it will take on a value

a) less than 89.2;

b) greater than 78.4;

c) between 83.2 and 88.0;

d) between 73.6 and 90.4.

13. If the time to assemble an \easy to assemble" computer desk from a

kit is a random variable having the normal distribution with \mu = 55:8

minutes and \sigma = 12:2 minutes, what are the probabilities that this

kind of desk can be assembled in

a) less than 49.7 minutes;

b) anywhere from 61.9 and 74.1 minutes;

c) more than 86.3 minutes?

14. With reference to Exercise 13, for what length of time is the probability

0.90 that one can assemble the desk in that many minutes or less?

Find number of students securing marks >104, between 155-165, <55 from the following class data.

Class(marks) frequency (students)

0-20 210

20-40 115

40-60 130

60-80 220

80-100 120

100-120 101

120-140 120

140-160 144

160-180 132

180-200 190

2. A company purchased machinery that cost 510,000. It is estimated that the machine will be operated for 100,000 hours over its useful life and have a residual value of 10,000.

Required:

A) what is the rate of depreciation per hour?

B) journalize the entry for annual depreciation if the machine had been operated for 22,000 hours?

How to find the coordinate of p and q if the circle cuts the x-axis at the points p and q in 2x^2 +2y^2 -8x +5y -10=0