This DE has characteristic equation
with a repeated root at r = 3/2. Then the characteristic solution is
which has derivative
Use the given initial conditions to solve for the constants:
and so the particular solution to the IVP is
Use the slope formula:
m = (y2 - y1)/(x2 - x1)
Plug in the values into the equation:
m = (1 + 7)/(-7 - 5)
m = 8/(-12)
m = -(2/3)
The slope is -2/3
yo i dont know the answer but i hope you have a good day
Answer:
[r/(w + r)]^4
Step-by-step explanation:
The numbers of the different balls are not given, but here is the solution.
Let w = number of white balls.
Let r = number of red balls.
The total number of balls is w + r.
All drawings have the same probability since there is replacement.
Each drawing has the following probability of drawing a red ball:
p(red) = r/(w + r)
Since there are 4 drawings, and they are all independent events, the overall probability is the product of the individual probabilities.
p(4 red balls in 4 drawings) = [r/(w + r)]^4
To find an actual number, replace w and r with the correct numbers and evaluate the expression.
Hello there!
Here is a simple step you need to follow and remember it. You'll be able to find the percentage of any fraction next time.
First, start by transferring the fraction to decimal. To do that, divide the top number by the bottom.
74 ÷ 50 = 1.48
Second, multiply the decimal you got by 100
1.48 * 100 = 148%
Thus,
74/50 as a percentage is 148%
Good luck!