Answer:
1/3 AMOSC T.rhecc
Step-by-step explanation:
Answer: 1
Step-by-step explanation: the probability mass function that defines a possion probability distribution is given below as
P(x=r) = e^-u × u^x/x!
For this question, x = 0 and u = 9.5
Hence we have that
P(x=0) = e^-0 × 9.5^0 / 0!
P(x=0) = 1 × 1/ 1 = 1
Answer:
A.
Step-by-step explanation:
Answer:
The length of the diagonal is x√10
Step-by-step explanation:
Here, we want to find the length of the diagonal
The diagonal will represent the hypotenuse of a triangle formed with the width and length of the triangle being the measure of the other sides
Mathematically, we then apply Pythagoras’ theorem to get this
we have this as that the square of the diagonal equals the sum of the squares of the two other sides
d^2 = x^2 + (3x)^2
d^2 = x^2 + 9x^2
d^2 = 10x^2
d = √(10x^2)
d = x√10
Answer:
<em>71.6 degrees </em>
Step-by-step explanation:
The formula for calculating the angle between two vectors is expressed as;
u.v = |u||v|cos theta
u.v = (8, 4).(9, -9)
u.v = 8(9)+4(-9)
u.v = 72-36
u.v = 36
|u| = √8²+4²
|u| = √64+16
|u| = √80
|v| = √9²+(-9)²
|v| = √81+81
|v| = √162
36 = √80*√162 cos theta
36 = √12960 cos theta
36 = 113.84 cos theta
cos theta = 36/113.84
cos theta = 36/113.84
cos theta = 0.3162
theta = arccos (0.3162)
<em>theta = 71.6 degrees </em>
<em>Hence the angle between the given vectors is 71.6 degrees </em>
