Answer:
Step-by-step explanation:
Given the following probabilities for events A and B
We want to find P(A ∪ B ∪ C).
Using the inclusion/exclusion formula for the union of three events:
P(A ∪ B ∪ C) = P(A) + P(B) + P(C) − P(A ∩ B) − P(A ∩ C)−P(B∩C)+P(A∩B∩C).
Therefore, P(A or B or C) = 0.48
Answer:
f^-1(x)=x/2+1
Step-by-step explanation:
Answer:
No, because all of the new type of balls are not hit first, the distances they travel cannot be compared to the distances of the original ball.
Answer:
0.8989
Step-by-step explanation:
Using the Newton's Raphson approximation formula.
Xn+1 = Xn - f(Xn)/f'(Xn)
Given f(x) = x³-2x+2
f'(x) = 3x²-2
If the initial value X1 = 2
X2 = X1 - f(X1)/f'(X1)
X2 = 2 - f(2)/f'(2)
f(2) = 2³-2(2)+2
f(2) = 8-4+2
f(2) = 6
f'(2) = 3(2)²-2
f'(2) = 10
X2 = 2- 6/10
X2 = 14/10
X2 = 1.4
X3 = X2 - f(X2)/f'(X2)
X3 = 1.4 - f(1.4)/f'(1.4)
f(1.4) = 1.4³-2(1.4)+2
f(1.4) = 2.744-2.8+2
f(1.4) = 1.944
f'(1.4) = 3(1.4)²-2
f'(1.4) = 3.880
X3 = 1.4- 1.944/3.880
X3 = 1.4 - 0.5010
X3 = 0.8989
Hence the value of X3 is 0.8989
Answer:
3
Step-by-step explanation:
To find the slope of the line, you can use the formula rise/run.
Every time the graph moves one unit across the x-axis, it moves three spaces up. Therefore,
Rise = 3
Run = 1
Now to plug this into our formula:
3/1 = 3
The slope of the line is 3.
