Answer:
∛V / (4/3π) = r
Step-by-step explanation:
V = 4/3πr³
Try to isolate r if you want to solve for it.
So divide everything that's not r from the right side in order to move it to the left side of the equation.
V / (4/3π) = r³
Then since it is raised to the power of 3 , just cube root the other side in order to undo the exponent. This is so you can isolate r.
∛(V/(4/3π)) = r
Answer:
f(n + 1) = f(n) + 0.75
Step-by-step explanation:
94.1224489795918367 is the answer to your question
Answer:
The percentage of overdue accounts are held by customers in the "risky credit" category is 62.5%
Step-by-step explanation:
Customers in the "risky" category (25% of total accounts) allow their accounts to go overdue 50% of the time on average.
That means that on average, 12.5% of total accounts is overdue.
0.25*0.50 = 0.125
In the "good credit" category only 10% goes overdue. That means 7,5% of total accounts goes overdue in this category.
0.75*0.10=0.075
The total accounts that go overdue is 0.125+0.075 = 0.200.
The percentage of overdue accounts held by customers in the "risky credit" category is:
0.125/0.200 = 0.625 or 62.5%
Answer:
d. t distribution with df = 80
Step-by-step explanation:
Assuming this problem:
Consider independent simple random samples that are taken to test the difference between the means of two populations. The variances of the populations are unknown, but are assumed to be equal. The sample sizes of each population are n1 = 37 and n2 = 45. The appropriate distribution to use is the:
a. t distribution with df = 82.
b. t distribution with df = 81.
c. t distribution with df = 41.
d. t distribution with df = 80
Solution to the problem
When we have two independent samples from two normal distributions with equal variances we are assuming that
And the statistic is given by this formula:
Where t follows a t distribution with
degrees of freedom and the pooled variance
is given by this formula:
This last one is an unbiased estimator of the common variance
So on this case the degrees of freedom are given by:

And the best answer is:
d. t distribution with df = 80