12 and 3 because 3 divided by 12=4 and 12x3=36
Based on the bisection of line BC by point A, the value of x is 10/3
<h3>How to determine the value of x?</h3>
The given parameters are:
- Point A bisects BC
- BA = 6x - 3
- AC= 3x + 7
Because the point A bisects BC, then
BA = AC
Substitute the known values in the above equation
So, we have
6x - 3 = 3x + 7
Collect the like terms
6x - 3x = 3 + 7
Evaluate the like terms
3x = 10
Divide both sides of the equation by 3
x = 10/3
Hence, based on the bisection of line BC by point A, the value of x is 10/3
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Answer:
3 years
Step-by-step explanation:
Note that:
P(0) = 803
So Tripling time ==> P(t) = 3*P(0) = 3*803 = 2409
Then we have an equation:
2409 = 803*
<=> 3 =
<=> 1 =
<=> t =
So the tripling time for this population of alligators is 3 years
Answer:
Step-by-step explanation:
Given that:
X(t) = be the number of customers that have arrived up to time t.
... = the successive arrival times of the customers.
(a)
Then; we can Determine the conditional mean E[W1|X(t)=2] as follows;




Now 
(b) We can Determine the conditional mean E[W3|X(t)=5] as follows;

Now; 
(c) Determine the conditional probability density function for W2, given that X(t)=5.
So ; the conditional probability density function of
given that X(t)=5 is:

Answer:
Step-by-step explanation:
George is g and Mike is m
Substitute g in the second equation
- 2m - 5 + m = 31
- 3m - 5 = 31
- 3m = 36
- m = 12
Finding g
- g = 2*12 - 5 = 24 - 5 = 19