The sister is 4<em>n</em><em> </em>yrs old.
That is because 4 times <em>n</em><em> </em>is 4<em>n</em><em>.</em>
Answer:

Step-by-step explanation:
1 n=0
1 1 n=1
1 2 1 n=2
1 3 3 1 n=3
1 4 6 4 1 n=4
1 5 10 10 5 1 n=5
1 6 15 20 15 6 1 n=6
This is where n is the exponent in
.

Now we want to expand:
or we we can rewrite as
.
Let's replace
with
and
with
in the expansion:



Let's simplify a bit:


(C)
Step-by-step explanation:
The volume of the conical pile is given by

Taking the derivative of V with respect to time, we get


Since r is always equal to h, we can set

so that our expression for dV/dt becomes


Solving for dh/dt, we get



Answer:
The psychologist finds that the estimated Cohen's d is 0.583.
Step-by-step explanation:
The Cohen's d is used to calculate the effect size, appied when a null hypothesis is rejected.
It can be calculated for this case of population mean as:

The psychologist finds that the estimated Cohen's d is 0.583.
To Find :
Net worth of Rachel.
Solution :
Net worth is given by the (sum of all the assets she owns) -( total amount of loans she have ).

Therefore, net worth of Rachel is $ 363587.
Hence, this is the required solution.