Answer:
Probability of rolling a 2 and flipping a head will be 
Step-by-step explanation:
If we roll one die then probability to get any one side is 
Therefore, probability to get 2 by rolling the die will be P(A) =
Now we flip a coin then getting head or tale probability is 
Or probability to get head by flipping the coin P(B) =
Probability of happening both the events (rolling a 2 and flipping a head) will be denoted by
P(A∩B) = P(A)×P(B)
= 
=
Therefore, probability of rolling a 2 and flipping a head will be
I believe the answer to your graphing piecewise function is the 2nd picture
Answer:
Width also known as (W) = 1.5 meters
Area also known as (A) = 6 square meters
Length also known as (L) = ?
the formula to find Length is:
Step-by-step explanation:
Choice 3 is the answer
1.5x = 6
x=4
substitute 4 for the x
1.5(4)=6
1.5×4 = 6
so
6=6
so the answer is
1.5x=6
x=4
Remember that the vertex form of a parabola or quadratic equation is:
y=a(x-h)^2+k, where (h,k) is the "vertex" which is the maximum or minimum point of the parabola (and a is half the acceleration of the of the function, but that is maybe too much :P)
In this case we are given that the vertex is (1,1) so we have:
y=a(x-1)^2+1, and then we are told that there is a point (0,-3) so we can say:
-3=a(0-1)^2+1
-3=a+1
-4=a so our complete equation in vertex form is:
y=-4(x-1)^2+1
Now you wish to know where the x-intercepts are. x-intercepts are when the graph touches the x-axis, ie, when y=0 so
0=-4(x-1)^2+1 add 4(x-1)^2 to both sides
4(x-1)^2=1 divide both sides by 4
(x-1)^2=1/4 take the square root of both sides
x-1=±√(1/4) which is equal to
x-1=±1/2 add 1 to both sides
x=1±1/2
So x=0.5 and 1.5, thus the x-intercept points are:
(0.5, 0) and (1.5, 0) or if you like fractions:
(1/2, 0) and (3/2, 0) :P
100-21=79
2859(0.79)^3=1409.598
worth $1409.60
