Answer: B
Step-by-step explanation:
Answer:
0.94
Step-by-step explanation:
Formula; P(AUB) = P(A) + P(B) - P(AB).
P(A) = 0.7
P(B) = 0.8
P(AB) = 0.56
= 0.7 + 0.8 - 0.56
= 0.94
Hence, P(A U B) = 0.94
[RevyBreeze]
About 6 minutes, if you need to be more specific then 5.75
Theoretical probability is what we expect to happen, where experimental probability is what actually happens when we try it out. The probability is still calculated the same way, using the number of possible ways an outcome can occur divided by the total number of outcomes.
Answer:
Step-by-step explanation:
The general solution will be the sum of the complementary solution and the particular solution:
In order to find the complementary solution you need to solve:
Using the characteristic equation, we may have three cases:
Real roots:
Repeated roots:
Complex roots:
Hence:
Solving for :
Since we got complex roots, the complementary solution will be given by:
Now using undetermined coefficients, the particular solution is of the form:
Note: was multiplied by x to account for and in the complementary solution.
Find the second derivative of in order to find the constants and :
Substitute the particular solution into the differential equation:
Simplifying:
Equate the coefficients of and on both sides of the equation:
So:
Substitute the value of the constants into the particular equation:
Therefore, the general solution is: