Probabblity that the cube lands on 4 = 1/6
Probablity that the coin lands heads up = 1/2
Probablity of both happening = 1/2 * 1/6 = 1/12
Answer:
6666666.667 equals x
Step-by-step explanation:
take the 3 to the other side- doin that is became positive
them you divide to find x
Since it is an isosceles trapezoid;
AB=CD which means;
5y-3=6y-17
get the variables to one side and you get:
-3=y-17
Then add 17 to both sides and
14=y
Therefore y=14 is your answer
Steps:
1. calculate the values of y at x=0,1,2. using y=5-x^2
2. calculate the areas of trapezoids (Bottom+Top)/2*height
3. add the areas.
1.
x=0, y=5-0^2=5
x=1, y=5-1^2=4
x=2, y=5-2^2=1
2.
Area of trapezoid 1 = (5+4)/2*1=4.5
Area of trapezoid 2 = (4+1)/2*1=2.5
Total area of both trapezoids = (4.5+2.5) = 7
Exact area by integration:
integral of (5-x^2)dx from 0 to 2
=[5x-x^3/3] from 0 to 2
=[5(2-0)-(2^3-0^3)/3]
=10-8/3
=22/3
=7 1/3, slight greater than the estimation by trapezoids.
Answer:
Solution (7,1)
Step-by-step explanation:
Use the elimination method
x + y=8
x - y=6
--------------Add
2x = 14
x = 7
Substitute x = 7 into x + y=8
7 + y=8
y = 8 - 7
y = 1
Solution (7,1)
