Answer:
Part 6)
case a) 
case b) 
Part 7)
case a) 
case b) 
Step-by-step explanation:
we know that
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
Let
x------> size of the event space
y-----> size of the sample space
so
Part 6)
case a) P(odd)
In this problem we have
substitute
case b) P (less than 3)
In this problem we have
substitute
Part 7)
case a) P(yellow)
In this problem we have
substitute
case b) P(green and red)
therefore
Answer:
$45.01 tax
5 shirts
Step-by-step explanation:
7% of 643 is
0.07 * 643 = $45.01
1232 - (45.01 + 643) = 543.99
That leaves enough to buy 5 shirts
-0.1737$ Might not be right tried my best
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:
38
Step-by-step explanation:
55 - 17 = 38 so the Higher number was 38 and the smaller one was 17.
