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



The orbital period of Planet A is 16 years and its average distance to Star B is 5.25 a.u. Another planet called Planet C has an average distance of 10.3 a.u. from Star B, using Kepler’s Third Law of Planetary Motion, compute the orbital period of Planet C to Star B in days



The orbital period of Planet A is 16 years and its average distance to Star B is 5.25 a.u. Another planet called Planet C has an average distance of 10.3 a.u. from Star B, using Kepler’s Third Law of Planetary Motion, compute the orbital period of Planet C to Star B in days

Program


Write a program to print the following, Given a word W and pattern P, you need to check whether the pattern matches the given word.The word will only contain letters(can be Uppercase and Lowercase). The pattern can contain letters, ? and *.

? : Can be matched with any single letter.
* : Can be matched with any sequence of letters (including an empty sequence).


If the pattern matches with the given word, print True else False.


Sample input 1

3

Hello Helll*

Hell He*ll

Hell hell*


Sample output 1

True

True

False


Sample Input 2

3

Hello *l?

Hell He?ll

Hell ?*


Sample Output 2

True

False

True






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


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