The answer would be C.
If you do -5.5 + 2.5 over 6.1 - 3.1 it would be -3 over 3 which is equal to -1.
You could also do -2.5 + 5.5 over 3.1 - 6.1. It would be 3 over -3 which is also equal to -1.
It is just 4 x 4 for each and everyside
<h3>
Answer: 16</h3>
=======================================================
Explanation:
A = ace
Q = queen
Theo's results are: 5, A, 2, 8, Q, 9
He got four numbers (5,2,8,9) out of 6 cards total. The empirical probability of getting a number is 4/6 = 2/3. Multiply this with the 24 trials to get (2/3)*24 = 48/3 = 16.
We expect Theo to get roughly 16 numbers if he conducted 24 trials. This is not guaranteed because of the nature of the random process. Though it should be fairly close to 16 assuming that we stick with that empirical probability (i.e. the amount of number cards is roughly 2/3 of the deck).
Answer:
600
Step-by-step explanation:
PRT divided by 100
1500*8*1/100
=120
120*5 for 5 years
,=600
4.15
is a linear ODE; multiply both sides by the integrating factor 
:
Now the left side can be condensed as the derivative of a product:
Integrate both sides and solve for 
to get
Given that 
, we find
and so the particular solution is
5.15
You may be tempted to write this as an ODE in 
, but the ODE in 
is much easier to solve, since it's linear. Solve for 
and rearrange the terms:
Multiply both sides by the integrating factor 
, then solve for 
:
Given that 
when 
, we have
so the particular solution is
or, by solving for ,
6.15
Dividing through both sides by 
lets us write the equation in Bernoulli form:
Substitute 
, so that 
. Then we get an ODE that is linear in 
:
Multiply both sides by the integrating factor 
:
Integrate both sides and solve for , then solve for :
Given that 
, we find
so the particular solution is
