Answer:
0.07072
Step-by-step explanation:
Red Blocks= 31
Green Blocks= 47
Yellow blocks = 23
Purple blocks= 24
Total= 31+47+23+24= 125
P(Yellow) = 23/125
P(Purple)=24/125
NOTE: AND (X), OR (+)
P(yellow yellow or purple purple)
= P(Y and Y) + P(P and P)
=(23/125 X 23/125) + (24/125 X 24/125)
=529/15625 + 576/15625
=1105/15625
=221/3125
=0.07072
Therefore:
Probability of Picking Yellow Yellow or Purple Purple is 0.07072.
The only point outside of the line is (2, 0)
In order to find if a point is outside, inside or on the line, you simply have to put the number into the equation. If the result is both sides are equal, then it is on the line. If the left side is bigger than the right side, then it is outside of the line. If the right side is bigger than the left, then it is inside of the line. So lets plug in and see where (2, 0) falls.
(x - 2)^2 + (y + 3)^2 = 4
(2 - 2)^2 + (0 + 3)^2 = 4
0^2 + 3^2 = 4
0 + 9 = 4
9 = 4
Since the left side is bigger than the right, we know it is outside of the line.
Answer:

Step-by-step explanation:
For the spring mass system
my"+by'+ky=0
The system is said to be critically damped if 
Here b is coefficient of friction
m is the mass of system
And k is spring constant
We have given m = 2 kg , k =1
So 


So the coefficient of friction is
Answer:
286 mm²
Step-by-step explanation:
A trapezium is given with ,
- Parallel sides = 24mm , 28 mm
- Height = 11mm .
<u>The </u><u>area </u><u>is </u><u>given</u><u> by</u><u> </u><u>:</u><u>-</u><u> </u>
Area = 1/2 ( b₁ + b ₂) × h
Area = 1/2 ( 24 + 28)×11 mm²
Area = 1/2 × 52× 11mm²
Area = 286 mm²
<h3>
<u>Hence </u><u>the</u><u> </u><u>area </u><u>of</u><u> the</u><u> </u><u>trapezium</u><u> </u><u>is </u><u>2</u><u>8</u><u>6</u><u> </u><u>mm²</u><u>.</u></h3>
10 + 20 = 30 total balls.
Picking red = 10/30 = 1/3
After picking one ball there are 29 balls left.
Picking a yellow next is 20/29
Then there are 28 balls left and 19 yellow left, so picking another yellow would be 19/28
The probability of picking red first then two yellow = 1/3 x 20/29 x 19/28 = 95/609