The coefficient of correlation is independent of change of scale and origin of the variable X and Y. Change of origin means some value has been added or subtracted in the observation. If we divide all observations with x then new mean =initial mean/x.
Answer:
The answer is option d.
To find a we have to first find b
sin 60° = b / 10
b = 10 sin 60°
b = 5√3
sin 30° = b / a
b = 5√3
a = 5√3 sin 30°
a = 10√3
cos 30° = c / a
a = 10√3
c = 10√3 sin 30°
c = 15
cos 60° = d /10
d = 10 cos 60°
d = 5
a = 10√3 , b = 5√3 , c = 15 and d = 5
Hopethis helps.
Answer:
4 times
Step-by-step explanation:
Sample space :
6 sided cube = (1, 2, 3, 4, 5, 6)
Coin = (H, T)
Probability = required outcome / Total possible outcomes
Probability of head (H) = P(H) = 1 /2 = 0.5
Probability of 3 = P(3) = 1 /6 = 0.166666
Probability of heads and 3 on a single try = p(H) * p(3) = 0.5 * 0.166666 = 0.083333
Hence, expected number of times this is likely to occur in 48 tries :
0.083333 * 48 = 4
Step 1: -3(x+2y=3)
Step 2: -3x-6y=-9
Step 3: 3x cancels out with -3x
Step 4: add 2y and -2y, and add 3 and 5
Step 5: the answer is NO SOLUTION or INFINITE SOLUTION
