The first cube can land in any one of 6 ways.
The second cube can land in any one of 6 ways.
Total number of ways that 2 dice can land = (6 x 6) = 36 ways.
For any of these ways, the sum of the numbers rolled is 9 :
3, 6
4, 5
5, 4
6, 3
There are 4 ways to roll a 9, out of a total of 36 ways that
the dice can land. So the probability of rolling a 9 is
4 / 36 = 1 / 9 = <em>11-1/9 percent</em>
There are 6 numbers in one die.
There are 2 numbers that are less than or equal to 2, they are 1 and 2
The probability of something happening is the number of chances / total number
The probability would be 2/6, which can be reduced to 1/3
Answer:
7.3
Step-by-step explanation:
time is distance divided by velocity/speed
t = 220/30
t = 7.33333 = 7.3
First: the homogeneous solutions: the characteristic equation is4r^2 - 4r - 3 = 0which has roots r = 3/2, -1/2 hence the homogeneous solution isy = c1.exp(-x/2) + c2.exp(3x/2)
next you need the general form for the guess for yp and that isyp = A1cos(2x) + A2sin(2x)
Now substitute that into the equation and solve for A1, A2.
Given:
θ = 60°
Radius = 8 in
To find:
The area of the shaded segment.
Solution:
Vertically opposite angles are congruent.
Angle for the shaded segment = 60°
<u>Area of the sector:</u>
A = 33.5 in²
Area of the sector = 33.5 in²
<u>Area of triangle:</u>
A = 32 in²
Area of the triangle = 32 in²
Area of segment = Area of sector - Area of triangle
= 33.5 in² - 32 in²
= 1.5 in²
The area of the shaded segment is 1.5 square inches.
