Answer:
The required sequence is
. The average rate of change from n = 1 to n = 3 is -7.5.
Step-by-step explanation:
From the given graph it is clear that the sequence is a GP because the all terms are half of their previous terms.
Here, 

The common ratio of GP is 1/2.



The first term of the sequence is 20.
The formula for sequence is

Where a is first term and r is common difference.
The required sequence is

The formula for rate of change is

The average rate of change from n = 1 to n = 3 is



Therefore the required sequence is
. The average rate of change from n = 1 to n = 3 is -7.5.
Answer:
i know the answer
Step-by-step explanation:
Answer:
3rd option: B(C)= 1.79C +86.03
Step-by-step explanation:
Total bill
= cost of cans(number of cans) +cost of other groceries
Let the cost of other groceries be G, and the cost of cans be X.
Given that number of cans= C,
Total bill= XC +G
If 2 cans were purchased,
2X+G= 89.61 -----(1)
If 5 cans were purchased,
5X +G= 94.98 -----(2)
(2) -(1):
(5X +G) -(2X +G)= 94.98 -89.61
5X +G -2x -G= 5.37
3X= 5.37
X= 5.37 ÷3 <em>(</em><em>÷</em><em>3</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
X= 1.79
Subst. X= 1.79 into (1):
2(1.79) +G= 89.61
3.58 +G= 89.61
G= 89.61 -3.58 <em>(</em><em>-3.58</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
G= 86.03 <em>(</em><em>simplify</em><em>)</em>
Total bill
= XC +G
= 1.79C +86.03
Thus, the function is B(C)= 1.79C +86.03.
Answer:
A t-score of 2.0244 should be used to find the 99% confidence interval for the population mean
Step-by-step explanation:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 39 - 1 = 38
Now, we have to find a value of T, which is found looking at the t table, with 38 degrees of freedom(y-axis) and a confidence level of 0.99(
). So we have T = 2.0244.
A t-score of 2.0244 should be used to find the 99% confidence interval for the population mean
Your final answer will be 2 157/500 for the decimal 2.314