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Push Mower
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It takes 5 hours to complete the job
1 hour = 1/5 of the job
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Riding Lawn Mower
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It takes 3 hours to complete the job
1 hour = 1/3 of the job
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Push Mower + Riding Lawn Mower
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1 hour = 1/5 + 1/3
1 hour = 3/15 + 5/15
1 hour = 8/15 of the job.
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Calculate time needed to complete
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8/15 of the job takes 1 hour
8/15 of the job = 1 hour
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Divide by 8/15 on both side
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8/15 ÷ 8/15 of the job = 1 ÷ 8/15 hour
Whole of the job = 1 x 15/8 hours
Whole of the job = 15/8 hours
Whole of the job = 1 7/8 hours
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Answer: 1 7/8 hours
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Each child will get 1/4 of the sandwich.
(1/2)/2 = 1/4
Answer:
4
Step-by-step explanation:
Answer: 
Step-by-step explanation:
According to the given information, we have
Sample size : n= 50


Since population standard deviation is unknown, so we use t-test.
Critical value for 95 percent confidence interval :

Confidence interval : 

Required 95% confidence interval : 
We have that the spring is going to have a sin or a cos equation. We have that the maximum distance of the spring is 6 inches and it is achieved at t=0. Let's fix this as the positive edge. Until now, we have that the function is of the form:
6sin(at+B). We have that the period is 4 minutes and hence that the time component in the equation needs to make a period (2pi) in 4 minutes. Thus 4min*a=2p, a=2p/4=pi/2. In general, a=2pi/T where a is this coefficient, T is the period. Finally, for B, since sin(pi/2)=1, we have that B=pi/2 because when t=0, we have that 6sin(B)=6. Substituting, we have f(t)=6sin(pi*t/2+pi/2)=6cos(pi*t/2)
by trigonometric identities.