Answer:
a)
b) 
c) 
And then if we solve for t we got:
d) If we find the limit when n tend to infinity for the function we have this:
So then the number of correct responses have a limit and is 0.83 as n increases without bound.
Step-by-step explanation:
For this case we have the following expression for the proportion of correct responses after n trials:
Part a
For this case we just need to replace the value of n=3 in order to see what we got:
So the number of correct reponses after 3 trials is approximately 0.536.
Part b
For this case we just need to replace the value of n=7 in order to see what we got:
So the number of correct responses after 7 weeks is approximately 0.666.
Part c
For this case we want to solve the following equation:
And we can rewrite this expression like this:
Now we can apply natural log on both sides and we got:
And then if we solve for t we got:
And we can see this on the plot attached.
Part d
If we find the limit when n tend to infinity for the function we have this:
So then the number of correct responses have a limit and is 0.83 as n increases without bound.
Answer:
x² + 2x + (3 / (x − 1))
Step-by-step explanation:
Start by setting up the division:
.........____________
x − 1 | x³ + x² − 2x + 3
Start with the first term, x³. Divided by x, that's x². So:
.........____x²______
x − 1 | x³ + x² − 2x + 3
Multiply x − 1 by x², subtract the result, and drop down the next term:
.........____x²______
x − 1 | x³ + x² − 2x + 3
.........-(x³ − x²)
...........----------
...................2x² − 2x
Repeat the process over again. First term is 2x². Divided by x is 2x. So:
.........____x² + 2x __
x − 1 | x³ + x² − 2x + 3
.........-(x³ − x²)
...........----------
...................2x² − 2x
Multiply, subtract the result, and drop down the next term:
.........____x² + 2x __
x − 1 | x³ + x² − 2x + 3
.........-(x³ − x²)
...........----------
...................2x² − 2x
.................-(2x² − 2x)
.................---------------
.....................................3
x doesn't divide into 3, so that's the remainder.
Therefore, the answer is:
x² + 2x + (3 / (x − 1))
Answer:
angle bisector
Step-by-step explanation:
RT is an angle bisector of the triangle
Answer:
This is because modulus number will be always positive
Hope this is correct and helpful
HAVE A GOOD DAY!
Answer:
Width (length of shorter side) = 3.5 cm.
Step-by-step explanation:
L = 8.5 cm
perimeter, P = 24 cm
2(L+W) = 24
substitute L = 8.5
2(8.5+W) = 24
8.5 + W = 24/2 = 12
W = 12 - 8.5 = 3.5 cm
