The answer is 11/36
2/12 chance of rolling fours
because there are 2 sides containing a four on both dice combined and 12 sides in total.
Doubles mean you have to roll the same number simultaneously so let’s say we want to calculate the probability for double ones: then it’s 1/6 on the first dice for a one, and 1/6 on the second dice to land on a one as well.
I personally like to imagine a box like this:
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If you have one dice then it’s just a random segment on one of the lines. If you want the specific result from two dice then you want two specific segments which is also the 1 specific tile out of 36 (6 width times 6 height). So you multiply.
1/6 * 1/6 = 1/36 chance to roll double of ones
And 1/36 chance to roll double twos, threes, fours, fives, and sixes. But we don’t count the double fours because any four will do. So:
1/36 * 5 = 5/36
So for the probability of either doubles or containing a four is the probability of doubles of either number plus the probability of either dice being a four:
5/36 + 2/12 =
5/36 + 6/36 =
11/36
It sum.because <span>basically you are adding them up</span>
Step-by-step explanation:
so, you got the volume but don't know how to find the surface area ? that is strange for me. what's the problem ?
the surface of a cube or rectangular prism consists of 6 sides that split (for a rectangular prism) into 3 pairs of equal sides :
top and bottom
left and right
front and back
all we need to do is calculate the areas of these 6 rectangles and add them up. that's it.
in our case
top and bottom : 5×4 × 2 = 20×2 = 40 in²
left and right : 4×4 × 2 = 16×2 = 32 in²
front and back : 5×4 × 2 = 40 in²
so, in total, the whole surface area of the prism is
40 + 32 + 40 = 112 in²
Answer:
first one: <u>3</u>
second one: <u>b</u>
third one: <u>3.2</u>
Step-by-step explanation:
first one:
21 x ________ ÷ 3 = 21
rewrite equation:
21 ÷ 3 x ___ = 21
7 x ___ = 21
(21 / 7 = 3)
7 x 3 = 21
second one:
b x h ÷ h = ___
B
third one:
876 x 3.2 ÷ ______ = 876
2803.2 ÷ ___ = 876
(2803.2 / 876 = 3.2)
2803.2 x 3.2 = 876
Answer:
V = 20.2969 mm^3 @ t = 10
r = 1.692 mm @ t = 10
Step-by-step explanation:
The solution to the first order ordinary differential equation:
Using Euler's method
Where initial droplet volume is:
Hence, the iterative solution will be as next:
- i = 1, ti = 0, Vi = 65.45
- i = 2, ti = 0.5, Vi = 63.88
- i = 3, ti = 1, Vi = 62.33
We compute the next iterations in MATLAB (see attachment)
Volume @ t = 10 is = 20.2969
The droplet radius at t=10 mins
The average change of droplet radius with time is:
Δr/Δt = 
The value of the evaporation rate is close the value of k = 0.08 mm/min
Hence, the results are accurate and consistent!
