Answer:
-8
Step-by-step explanation:
Given that,
n = -3
r = -8
Now we have to find the value of the given expression.
For that, you have to replace n and r with ( -3 ) and ( -8 ) respectively.
Let us solve now.
−5 + 3 ( −2r + 4n )
-5 + 3 ( -2 × -8 + 4 × -3 )
-2 ( 16 - 12 )
-2 × 4
-8
Let me know if you've any other questions. :-)
- Hi1315
Answer:
Check the explanation
Step-by-step explanation:
Let 
be the indicator random variable that takes the value 1 if the ith coin is the first coin in a sequence of 19 consecutive heads.
For any sequence of length 19, the starting coin can be from toss i ,
such that i is between 1 and n - 19+1
Thus the number of such sequences is
Kindly check the attached image below for the step by step explanation to the question above.
Answer:
x is 0.
Step-by-step explanation:
Subtract both sides by 3x. Then, you will have 10= x+10. Subtract 10 on both sides to isolate x, then you will have x=0. Therefore, this equation on both sides has a solution of 0. Hope this helps!
Answer:
Step-by-step explanation:
If the population increases at a rate of 4% per annum, then:
In year 1:
Where 
is the initial population and 
is the population in year n
In year 2
It can also be written as:
Taking out common factor
Taking out common factor (1 + 0.04)
Taking out again common factor
Simplifying
So
This is the equation that represents the population for year n
Then, in 4 years, the population will be:
2x + y = x - y - 3 = 6
Add 3 to everything
2x + y + 3 = x - y - 3 + 3 = 6 + 3
2x + y + 3 = x - y = 9
2x + y + 3 = 9
2x + y = 6 = x - y
Add y to everything
2x + 2y = 6 + y = x
Since x = 6 + y substitute every x with 6 + y
2(6 + y) + 2y = x
12 + 4y = x
This is as simplified as I can get and then just place 12 + 4y into every x in the original problem then solve
