NDA || Weekly Revision Quiz

If x =  , y =  , z =  and  =1 , then  is equal to

The correlation coefficient between two variables X and Y is found to be 0·6. All the observations on X and Y are transformed using the transformations U = 2 - 3X and
V = 4 Y + 1. The correlation coefficient between the transformed variables U and V will be

Find the mean of data given above.

Find the standard deviation of data given above.

How many different permutations can be made out of the letters of the word ‘XAXAPAPA’?

The range of f(t) =  is

In a test , 60% of the students passed in English and 70 % of the students passed in EVS , but 20% failed in both of these subjects. If 5000 students passed in both the subjects then find the number of students who appeared at the examination.

Evaluate

Find the points where the line  touches the hyperbola

Find the length of the double ordinate of the parabola  which is at a distance of 9 units from (3,4).