Total number of possible outcomes = 36
Total number of outcomes with a sum of 12 = 1
{6,6)
Total number of outcomes with a sum of 3 = 2
{1,2}{2,1}
P(12 first, then 3) = (1/36)(2/36) = 1/648
Answer: The probability is 1/648
Answer:
Your answer is 3.1
Step-by-step explanation:
Wherever you see j, substitute 5. Wherever you see k, substitute 3
1. Set up: 
2. Multiply 4.7 * 5, to get 23.5
3. Multiply 6.8 * 3 to get 20.4
4. Subtract 23.5-20.4
5. Final anwer - 3.1
Hope this helps!
Answer:
<h2><em>
sinθ - 4cosθ = 0</em></h2>
Step-by-step explanation:
Given the equation of a plane in rectangular coordinates to be y = 4x.
The cylindrical coordinates of the axis is as given below;
x = rcosθ
y = rsinθ
z = z
Since there is no z coordinate in the equation of the plane given, we will only substitute x = rcosθ and y = rsinθ into the equation y = 4x and simply the result as shown;
y = 4x
rsinθ = 4( rcosθ)
rsinθ = 4rcosθ
sinθ = 4cosθ
sinθ - 4cosθ = 0
<em>Hence the equation for the plane in cylindrical coordinate is expressed as sinθ - 4cosθ = 0</em>
Answer:
L = 68 ft
Step-by-step explanation:
To find the perimeter of something you need to add up all the sides
In this case I am assuming Sam's property is a square/rectangle
- Which means the formula for the perimeter is P = 2L + 2W
If L = 2W - 12 and P = 216, we can use these values and plug them into our perimeter equation to solve for w and then solve for l
- 216 = 2(2W -12) + 2W → ditributing the 2 to the (2w - 12) gives us
- 216 = 4W - 24 + 2W → combing like terms gives us
- 216 = 6W - 24 → adding 24 to both sides gives us
- 240 = 6W → dividing both sides by 6 gives us
- 40 ft = W
With the width being solved, we can now plug that value into our length equation
- L = 2(40) - 12 → distributing the 2 to the 40 gives us
- L = 80 - 12 → combing like terms give us
- L = 68 ft
For this case we have the following diagonals:
AE = 40
ST = x + 5
The intersection of the diagonals occurs when:
AE = ST
Therefore, matching we have:
40 = x + 5
Clearing x we have:
x = 40-5
x = 35
Answer:
The value of x is:
x = 35
