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<h2><em>The area of the pyramid net is 12 units</em></h2>
Step 1
Find the area of the Square in the middle
Formula for finding square:
Let's apply the formula and find our answer:
<em>The area of the square is 4 units</em>
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Step 2
Find the area of all 4 triangles around the square
As you know, the formula for finding 1 triangle is as follows:
But, to find the area of 2 triangles, we can use this formula:
And to find 4 of them (with same dimensions;as required here), we can use this one:
Let's apply the formula then! What are we waiting for!!!!
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<em>The area of ALL of the triangles around the square is 8 units</em>
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Step 3
Add all areas to find FINAL ANSWER!
Easy!
4+8=12
<h2><em>The area of the Pyramid Net is 12 units</em></h2>Answer:
The 80% confidence interval for the mean waste recycled per person per day for the population of New York is between 1.6 pounds and 4.2 pounds
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
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 = 11 - 1 = 10
80% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 10 degrees of freedom(y-axis) and a confidence level of . So we have T = 1.372
The margin of error is:
M = T*s = 1.372*0.98 = 1.3
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 2.9 - 1.3 = 1.6 pounds
The upper end of the interval is the sample mean added to M. So it is 2.9 + 1.3 = 4.2 pounds
The 80% confidence interval for the mean waste recycled per person per day for the population of New York is between 1.6 pounds and 4.2 pounds