7. Are the ordered pairs below an arithmetic sequence or geometric sequence?
(1,55)
(2, 45)
(3, 35)
(4, 25)

8. Using the formula: f(n) = f(1) + d(n-1), find f(9) for the ordered pairs
in #7.

8. Arithmetic Progression

9.

Step-by-step explanation:

Given

Solving (8): Arithmetic or Geometric

We start by checking if it is arithmetic by checking for common difference (d).

This gives:

Because the common difference is equal, then it is an arithmetic progression

Solving (8):

To find f(9), we substitute 9 for n

We need to solve for f(8); substitute 8 for n

We need to solve for f(7); substitute 7 for n

We need to solve for f(6); substitute 6 for n

We need to solve for f(5); substitute 6 for n

From the function, f(4) = 25 and f(1) = 55.

So:

the answer is 62.8 cubic units

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;