Answer:
c = -3
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators

Cancel multiplied terms that are in the denominator

Multiply the numbers

Add 11 to both sides of the equation

Simplify

Divide both sides of the equation by the same term

Simplify

[RevyBreeze]
Answer:
B. Yuri divided by n instead of n-1
Step-by-step explanation:
It was stated in the question that the dataset was sample dataset. For a sample dataset, the standard deviation is given by the formula,
σ = √ Σ (Xi - mean)²/(n - 1) where i = 1,2,3.....n
Since this is just a sample dataset and not the whole population, Yuri should have divided by n-1 instead of n.
Answer: $85,000
Step-by-step explanation:
Given : In a given population of two-earner male-female couples, male earnings have a mean of $40,000 per year and a standard deviation of $12,000.

Female earnings have a mean of $45,000 per year and a standard deviation of $18,000.

If C denote the combined earnings for a randomly selected couple.
Then, the mean of C will be :-

Hence, the mean of C = $85,000
The explicit rule for any arithmetic sequence is:
a(n)=a+d(n-1), a=initial term, d=common difference, n=term number
In this case a=-3 and d=7 so:
a(n)=-3+7(n-1)
a(n)=-3+7n-7
a(n)=7n-10