Answer:
Step-by-step explanation:
The sample space is shown in the attached photo.
Probability = number of favourable outcomes/total number of outcomes.
Looking at the diagram, the total possible outcomes is 36.
A) from the diagram, the total number of events in which the sum of the numbers is odd is 18. Therefore, the probability that the sum of the numbers is odd is
18/36 = 1/2
B) the total number of events in which the sum of the numbers is 10 or more is 6. Therefore, the probability that the sum of the numbers is 10 or more is
6/36 = 1/6
C) the total number of events in which 3 appears on each of the two dice is 1. Therefore, the probability that 3 appears on each of the two dice is
1/36
The axis of symmetry can be found by finding the average of the zeros, a derivation from the conservation of energy :P, or by finding the point when the velocity is equal to zero.
df/dx=-6x+12 so df/dx, velocity, equals zero when:
-6x+12=0
6x=12
x=2 so the axis of symmetry is the vertical line x=2
....
average of zeros...
3x^2-12x+6=0
x^2-4x+2=0
x^2-4x=-2
x^2-4x+4=2
(x-2)^2=2
x-2=±√2
x=2±√2 so the average of the zeros is obviously 2.
....
conservation of energy
vf-vi=at When vf=0, this is the maximum value for f(x)...
-vi=at, vi=b and a(acceleration)=2a(from quadratic) and t=x
-b=2ax
x=-b/(2a) in this case
x=-12/(2(-3))
x=-12/-6
x=2
Answer:
119
Step-by-step explanation:
By using exterior angle theorem, we know that 31+angle 1 =150. therefore angle 1=119. Exterior angle theorem is where an angle exterior of an angle in the triangle addus up to 180 degreees, we also know the angles in a triangle sum to 180 degrees. Both sides have a common angle. If we subract it from the equation, we get what is said above.
The slope of a line perpendicular to this is (y=a number) 0. That's because the change in the x would be 0, because it would be y=3 or something like that.
The slope of a line parallel to this is undefined. That's because it has the same slope as this line, and this line has a slope of undefined.
4/6 is the answers
Hope you get the answer right
