Answer:
No, the law of large numbers says that the proportion of yellow cards should approach the true probability after many trials.
Step-by-step explanation:
We want to solve the Initial Value Problem y' = y + 4xy, with y(0) = 1.
To use Euler's method, define
y(i+1) = y(i) + hy'(i), for i=0,1,2, ...,
where
h = 0.1, the step size.,
x(i) = i*h
1st step.
y(0) = 1 (given) and x(0) = 0.
y(1) ≡ y(0.1) = y(0) + h*[4*x(0)*y(0)] = 1
2nd step.
x(1) = 0.1
y(2) ≡ y(0.2) = y(1) + h*[4*x(1)*y(1)] = 1 + 0.1*(4*0.1*1) = 1.04
3rd step.
x(2) = 0.2
y(3) ≡ y(0.3) = y(2) + h*[4*x(2)*y(2)] = 1.04 + 0.1*(4*0.2*1.04) = 1.1232
4th step.
x(3) = 0.3
y(4) ≡ y(0.4) = y(3) + h*[4*x(3)*y(3)] = 1.1232 + 0.1*(4*0.3*1.1232) = 1.258
5th step.
x(4) = 0.4
y(5) ≡ y(0.5) = y(4) + h*[4*x(4)*y(4)] = 1.258 + 0.1*(4*0.4*1.258) = 1.4593
Answer: y(0.5) = 1.4593
1.) Find the area of the circle at the top ( A= pi x radius squared )
2.) radius is 5.55 (half of 11.1)
3.) A= pi x 5.55 squared
4.) area of circle =96.77
5.) multiply area of circle(96.77) by height (20)
6.) answer = 1935.38
Answer:
315 sq. in
Step-by-step explanation:
15 * 21 = 315
Answer:
Mina took 2,986 steps on the third hour.
Step-by-step explanation:
With the information provided, you know that Mina took a total of 9,245 steps in three hours and as you know the quantity of steps she took on the first and second hour, you can subtract the steps she took on the first and second hour from the total amount of steps to determine the steps she took on the third hour:
9,245-2,387-3,872=2,986
According to this, the answer is that Mina took 2,986 steps on the third hour.