What is the common ratio in each geometric sequence?
2 answers:
You might be interested in
Answer:
a)
Since t is between 0 and 15, and the house was purchased 8 years ago, we have two pairs of values:
- t = 0, V(0) = 42000
- t = 8, V(8) = 67500
<u>Find the slope, m:</u>
- m = (67500 - 42000)/8 = 3187.50
The value of b is 42000, since at t = 0, V = 42000
<u>So the equation is:</u>
- V = 3187.50t + 42000
b)
The graph is attached.
When V = 72500, t = 9.6 (approximately)
c)
When V = 74000
- 74000 = 3187.5t + 42000
- 3187.5t = 32000
- t = 32000/3187.5
- t ≈ 10 years (rounded down)
d)
When V = 80250
- 80250 = 3187.5t + 42000
- 3187.5t = 80250 - 42000
- 3187.5t = 38250
- t = 38250/3187.5
- t = 12 years
Answer:
The 95% confidence interval for the mean number of ounces of ketchup bottle is (23.8, 24.2).
Step-by-step explanation:
The complete question is:
Suppose that a restaurant chain claims that its bottles of ketchup contain 24 ounces of ketchup on average, with a standard deviation of 0.8 ounces. If you took a sample of 49 bottles of ketchup, what would be the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample?
Solution:
The (1 - <em>α</em>)% confidence interval for the population mean is:
The information provided is:
The critical value of <em>z</em> for 95% confidence level is:
*Use a <em>z</em>-table.
Compute the 95% confidence interval for the mean number of ounces of ketchup per bottle as follows:
Thus, the 95% confidence interval for the mean number of ounces of ketchup bottle is (23.8, 24.2).