Answer:
Average range(R-bar) = Sum of the sample range for each sample/number of samples = (9+8+1+8+7) /5 = 33/5 = 6.6
Sample size = 8
For a sample size of 8 the factors for control limit for range (D3) = 0.136 (obtained from table of constraints for x-bar and R chart
LCL = R-bar × D3 = 6.6 × 0.136 = 0.90
Step-by-step explanation:
Using translation concepts, compared to the graph of the base function g(x) = x², the function f(x) was:
- Vertically stretched by a factor of 4.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the base function g(x) = x² was:
- Multiplied by 4, that is, vertically stretched by a factor of 4.
- Shifted left 9 units, as x -> x + 9.
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
1545.62
Step-by-step explanation:
The calculation of compound interests uses this formula:
<h2>
</h2>
Where A = total amount, P = principal or amount of money deposited, r = annual interest rate, n = number of times compounded per year and t = time in years.
So, if we plug-in the numbers of the problem we have:
<h2>
</h2>
Which gives us:
For a grand total of 1,545.62 including capital and interests.
