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A certain event is believed to follow the binomial distribution. In 1024 samples of 5, the result was observed once 405 times and twice 270 times.
Calculate the probabilities p and q.
Now suppose that our message units are digraphs in an N - Letter alphabet. Find a formula for the number of different affine enciphering transformations there are. How many are there when N = 26, 27, 29, 30?
The lifetimes of a certain type of electrical components are distributed with a mean of 800 hours and standard deviation of 160 hours.If the manufacturer wishes to replace only 1 percent of the component that have the shortest life .what value should be used as the guaranteed lifetime
let X = {a, b, c} and tau = {pi, X, {a}, {b, c}} and let A = {a} be the subset of the topological space (X, tau). Find the interior and closure of A. explain in detail.
Use the Laplace transform to solve the given initial-value problem.
y′ + 2y = sin 4t, y(0) = 1
A. Find the finite population correction factor given the following:
(Show your solutions)
1. N=400,n=40
Which of the following is part of the set of all possible rational zeros of
f(x)=2x4−x3+6x2−5x−8?
i.
±1; ±2; ±12; ±14
ii.
±1; ±2; ±4
iii.
±1; ±2; ±4; ±12; ±14
iv.
None of the given options.
v.
±2; ±8; ±14
According to the May 16,2017 report by Pew Research, 68% of US adults say solar energy is very effective in minimizing air pollution. A sample of 240 U.S adults are surveyed. Let p
ˆ
p^ be the sample proportion of Americans who believe solar energy is very effective in minimizing air pollution.
- What is the population proportion? Answer (decimal form)
- What is the sample size? Answer
- What is the mean of the sampling proportion? Answer
- What is the standard deviation of the sampling proportion? Answer
(Round to 4th decimal place)
1) find the maximal intervals of monocity of the function f(X)=Ex+3/ X2+2x+6
2) find the integral 6.x3.ex2+2dx
3) find the general solution of the differential equation X2+1+y' .cos(y)=0
1- Find the domain of function f(X)=ln (-2/X2-x-6) +√x2 -1
2- Find the inverse function of the function f(X)=X2 -4x +5; X €(3,4)
3- construct the tangent line to the graph of the function f(X)= 4x.√x-2 .√x which is parallel to the line y=x.
