Show the working out
1 answer:
Answer:
59.25 currency ; No. of cans rounded to next whole number
Step-by-step explanation:
Draw a perpendicular line frrom the 12m. line onto the 20m. line. We get a rectangle on the left and a right-triangle on the right.
Using Pythagorous theorem,
Fence = m = 15 m
So, area of the lawn = ( 1/2 ) * ( 12 + 20 ) * 16 sqm = 240 sqm
So, number of cans needed = 240/100 = 2.4 ≈ 3 [Cause cans can't be partially bought ]
Total cost = 3 * 19.75 currency = 59.25 currency
( However, if cans can be partially bought, then total cost = 47.4 currency )
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The confidence interval would be
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We use the formula
, where
, with p being the sample proportion and N being the sample size.
First we find the z-score associated with this level of confidence:
Convert 95% to a decimal: 95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975
Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 1.96.
Since 578/720 said yes, this gives us p=0.80:
This gives us
We use the formula
First we find the z-score associated with this level of confidence:
Convert 95% to a decimal: 95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975
Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 1.96.
Since 578/720 said yes, this gives us p=0.80:
This gives us