Answer:
1. 0.09
2. 0.21
3. 0.49
Step-by-step explanation:
If the probability that Yuri will make a free throw is 0.3, then the probability that Yuri will not make a free throw is 1-0.3=0.7.
1. The probability that Yuri will make two consecutive free throws is
2. The probability that he will make the first and not the second in two free throws is
3. The probability that he will make neither of the two free throws is
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:
Answer:
25, 36, 49
Step-by-step explanation:
I just listed them down since there aren't many.
1×1=2 (Smaller than 20)
2×2=4 (Smaller than 20)
3×3=9 (Smaller than 20)
4×4=16 (Smaller than 20)
5×5=25
6×6=36
7×7=49
8×8=64 (Bigger than 50)
Answer:
x=4
Step-by-step explanation:
3(-4x+5)=12
3(-4x) + 3(5)=12
-12x+15=12
<u> -15</u><u>=-15</u>
-12x=-3
-x = -4
Since your x is negative change the signs
Answer:
16
Step-by-step explanation:
took test