Math Answers

1. There is a smallest positive integer.

2. There is no smallest positive real number.

3. There exists an integer that is larger than the product of any two 

    integers.

4. Every pair of integers has a common divisor.

1. There is a smallest positive integer.

X=842, n=1200, 95% confidence

X=842, n=1200, interval estimate 95%

It is reported that the average number of hours of sleep of a college student during regular school days is 6 hours a day .If 28 college students were randomly selected find the probability that the mean number of hours they sleep during regular school days is longer than 6.8 hours .Assume that the variable is normally distributed with standard deviation of 1.2 hours

A sample size of 400 is taken from a population x with a u=4 and o=2.Find the probability that the sample mean is less than 3.85

Given geometric Progression 1/64,1/32,1/16,1/8,1/4,… how many terms such that Sn=2^20-1/64 find the last term sn?

Find the area of the region bounded by y= 11x²/16, y=x², y=3-2x, satisfying x≤0

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The sum of the first two terms of a geometric progression is 9 and the sum to infinity is 25. If the common ratio is positive, find the common ratio and the first term.   

1.    The first term of an arithmetic series is 1 . the common difference of the series is 6.Find the tenth term of the series if the sum of the first n terms of the series is 7400. Show that 3n^2-2n-7400=0