Math Answers

A population consists of the values (1, 3, 4). From the list below, choose 9 possible samples of size 2 that can be drawn from this population with replacement

Check whether the sequence (an), where

an = 1/ (n+1) + 1/(n+2) +....+1/(2n) is convergent or not

Let ϕ and Ψ be function defined on [-3,5], such that both are continuous on [-3,5], derivable in [-3,5] and ϕ'(x)= Ψ'(x) ∀ x∈]-3,5[. Prove that

ϕ(x)= Ψ(x) +c ∀ x∈ [-3,5] , where c is a real constant

Prove that the sequence (fn(x)), where fn(x)= nx/(1+ nx^2) is not uniformly convergent in [-2,2]

1. Show that if 5/3< 2x< 11/3, then x∈{y∈R such that |y- 4/3| < 1/2}

2. Draw the graph of the function f, defined by f(x)= |x-6| + |5 - x| ; x∈ [2,8]

A sample of 390 senior high school students applied to different state universities, wherein 117 are female. Find the 99% confidence interval of the true population proportion who applies for different state universities

A school principal claims that grade 11 students have a mean grade of 86 with a standard deviation of 4. suppose that the distribution is approximately normal. What is the probability that a random selected grade will be less than 84?

True or false with full explanation

i. Every continuous function is differentiable.

ii. Every integrable function is monotonic

Based on a study, the average typing speed of women is normally distributed. Karen verified the results by conducting a similar study and found out that the standard error of the sample mean is 9 words per minute using a sample with a variance of 1 215. Determine the variance of the sampling distribution

Based on a study, the average typing speed of women is normally distributed. Karen verified the results by conducting a similar study and found out that the standard error of the sample mean is 9 words per minute using a sample with a variance of 1 215. Determine the sample size she used