Prakash

A 90% confidence interval for a population mean based on 144 observations is computed to be (2.7,3.4). How many observations must be made so that 90% confidence interval will specify the mean to within ± 0.2

Three coins are tossed simultaneously ,find the probability of getting at least2 heads

What is the probability of occuring 54 tuesdays in leap year?

Which formula is used to find the length of perpendicular from origin to the line x/a + y/b = 1?

By definition of Limit : The left limit value should be equal to right limit value . lim f(x) = lim f(x) = lim f(x) x->a- x->a+ x->a In our problem say The left limit values lies between 0 to 2 lim ln 2x = lim 2 ln x x->2- x->2+ ==> ln 4 = 2 ln 2 [Hint ln...

First factor out 3 x^2(common terms) 3x^2 (2x^4-5x+7)

y=f(x)= x^2-19x+x-19+7= x^2-18x-12 Find the critical value: f'(x)= 2x-18, set it equal to zero 0= 2x-18 hence, x=9 is the critical value Find the second derivative: f"(x)= 2 & f"(9)= 2, since the second derivative is positive, the function has a minimum a...

By taking the natural logarithm of both sides: 2^(2x + 11) = 3^(x - 2) ==> ln[2^(2x + 11)] = ln[3^(x - 2)] ==> (2x + 11)ln(2) = (x - 2)ln(3), since ln(a^b) = b*ln(a) ==> 2x*ln(2) + 11ln(2) = x*ln(3) - 2ln(3), by distributing ==> 2x*ln(2) - x*ln(3) = -2ln(...

Use simultaneous equation method: x=-y-z-1...(1) Now, the equation 2 become: 2(-y-z-1)+2y+5z=1 -2y-2z-2+2y+5z=1 3z=1+2; z=3 Now equation 1 becomes x=-y-3-1=-y-4; i.e, x=-y-4....(a) equation 3 becomes: 5(-y-4)+2y+3(3)=8 -5y-20+2y+9=8 -3y=19; y=-19/3 Now th...

Hi Carol, No one will be able to solve this one. haha.

Find the depth of a pond if its radius is 1.5m and the amount of water it can hold is 755.6 liters.