Suppose a population A has 100 observations 101, 102,… 200, and another population B has 100 observations 151, 152,…250. If `V_(A)` and `V_(B)` represent the variances of the two populations respectively, then show that `(V_(A))/(V_(B)) = 1`

Suppose a population A has 100 observations 101,102,................,200 and another population B has 100 observations 151,152,........250. If V_A and V_B represent the variances of the two populations respectively,then V_A/V_B is (a) 1 (b) 9/4 (c) 4/9 (d) 2/3

One set of 100 observations has the mean 15 and another set of 150 observation has the mean 16. Find the mean of 250 observation by combining the two sets of given observations.

Two particles of mass m_(A) and m_(B) and their velocities are V_(A) and V_(B) respectively collides. After collision they interchanges their velocities, then ratio of m_(A)/m_(B) is

If a ,b,c, and u,v,w are complex numbers representing the vertices of two triangle such that they are similar, then prove that (a-c)/(a-b) =(u-w)/(u-v)

A circuit has a section ABC if the potential at point A,B and C are V_(1) , V_(2) and V_(3) respectively , calculate the potential at point O

Figure shows two ships moving in x-y plane with velocity V_(A) " and "V_(B) . The ships move such that B always remains north of A . The ratio (V_(A))/(V_(B)) is eqal to -

Two objects A and B are moving in opposite directions with velocities v_(A) and v_(B) respectively, the magnitude of relative velocity of A w.r.t. B is

Two bulbs B_1 and B_2 with ratings (10W, 220V) and (20 W, 220V) respectively are connected in parallel across a 440V input supply. Then

Two elements A and B with atomic numbers Z_(A) and Z_(B) are used to produce charateristic X-rays with frequencies v_(A) and v_(B) respectively. If Z_(A):Z_(B)=1:2, then v_(A):v_(B) will be

Two masses m_(A) and m_(B) moving with velocities v_(A) and v_(B) in opposite direction collide elastically after that the masses m_(A) and m_(B) move with velocity v_(B) and v_(A) respectively. The ratio (m_(A)//m_(B)) is