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Answer:
a) To determine the minimum sample size we need to use the formula shown in the picture 1.
E is the margin of error, which is the distance from the limits to the middle (the mean) of the confidence interval. This means that we have to divide the range of the interval by 2 to find this distance.
E = 0.5/2 = 0.25
Now we apply the formula
n = (1.645*0.80/0.25)^2 = 27.7 = 28
The minimum sample size would be 28.
b) To answer the question we are going to make a 90% confidence interval. The formula is:
(μ - E, μ + E)
μ is the mean which is 127. The formula for E is shown in the picture.
E = 0.80*1.645/√8 = 0.47
(126.5, 127.5)
This means that the true mean is going to be contained in this interval 90% of the time. This is why it doesn't seem possible that the population mean is exactly 128.
Answer:
The cost of edging the flower beds with roll is $41.10.
Step-by-step explanation:
Given,
dimension of rectangular flower bed :
length = 40 ft
width = 15 ft
dimension of circular flower bed :
diameter = 16 ft
cost of each roll = $6.85
We need to find the cost of roll used to cover completely rectangular and circular flower bed.
Solution,
Firstly we will find out the perimeter of the rectangular flower bed.
Since we know that the perimeter of rectangle is equal to twice the sum of its length and width.
framing in equation form, we get;
Perimeter =
So the perimeter of 2 flower bed =
Again we will find out the circumference of the circular flower bed.
And we know that the circumference of the circle is equal to pi multiplied with the diameter.
framing in equation form, we get;
Circumference =
Now the total edge for covering is equal to the sum of the perimeter of two flowerbed and circumference of one circular flower bed.
Total edge =
Here also given that Plastic edging for flower beds comes in 50-foot per roll.
So we will find out the number of rolls required for edging.
For this we will use the unitary method.
50 ft = 1 roll
270.24 ft = number of roll
so we can say that there will be 6 rolls required for edging.
also given the cost of 1 roll is $6.85.
So the cost of 6 rolls =
Hence The cost of edging the flower beds with roll is $41.10.