An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places w
1 answer:
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Answer:
49π in²
Step-by-step explanation:
Step 1: Find the radius.
- To find radius given diameter, just divide the diameter by 2:
- 14/2 = 7, so the radius is 7.
Step 2: Apply area of circle formula.
- The formula to find the area of a circle is πr², where r = radius.
- Now, plug in the value of r: π(11)².
Step 3: Simplify.
- π(11)²
- π(121)
- 121π
Since we're finding the area in terms of pi, we don't have to multiply 121 by pi, so the answer is 49π in².
The confidence interval would be (10.44, 12.16). This means that if we take repeated samples, the true mean lies in 90% of these intervals.
To find the confidence interval, we use:
We first find the z-value associated with this. To do this:
Convert 90% to a decimal: 90% = 90/100 = 0.9
Subtract from 1: 1-0.9 = 0.1
Divide by 2: 0.1/2 = 0.05
Subtract from 1: 1-0.05 = 0.95
Using a z-table (http://www.z-table.com) we see that this is directly between two z-scores, 1.64 and 1.65; we will use 1.645:
To find the confidence interval, we use:
We first find the z-value associated with this. To do this:
Convert 90% to a decimal: 90% = 90/100 = 0.9
Subtract from 1: 1-0.9 = 0.1
Divide by 2: 0.1/2 = 0.05
Subtract from 1: 1-0.05 = 0.95
Using a z-table (http://www.z-table.com) we see that this is directly between two z-scores, 1.64 and 1.65; we will use 1.645: