Math Answers

The measurements of the bulk modulus of a material at different temperatures is as follows:
T( ͦ C ) 20 500 1000 1200 1400 1500
K (G Pa) 203 197 191 188 186 184
Determine the regression equation for this data.

A metal sheet has, on the average, 5 defects per 1.0 m2
. Assuming a Poisson
distribution, calculate the probability that a 1.5 m2
piece of the metal sheet will have
at least 4 defects.

Out of 90 applicants for a job, 60 people get selected after the interview. If five
applicants are selected at random, calculate the probability that 2 will get selected.

An unbiased coin is tossed three times. If A is the event that a head appears on each
of the first two tosses, B is the event that a tail occurs on the third toss and C is the
event that exactly two tails appear in the three tosses, show that:
i) Events A and B are independent
ii) Events B and C are dependent.

Prove that

tan10tan50 + tan50tan70 + tan70tan170 = 3

Determine the number of positive integers x, where x <100 and x is divisible by 2,3 or 5

According to the US Census Bureau, 7.1% of Americans living in 2010 were between the
ages of 20 and 24. Suppose that a random sample of 50 Americans taken this year found
6 between the ages of 20 and 24. If appropriate, test whether the population proportion
has increased since 2010, using level of significance

sin(x+3y) + sin(3x+y) ÷ sin2x + sin2y = 2cos(x+y)

If tan x = a and tan y = b
Show that sin(x+y) = (a+b) ÷ √(1+a^2)(1+b^2)

if a bus is travelling at a speed of 66m/h....The bus has to go to kolkata which is 720km far what will be the time taken....?BUT GIVE THE ANSWER IN Second.....