Answer:
3.188
Step-by-step explanation:
Given that :
Sample data: 26.5, 28, 30.2, 29.6, 32.3, 24.7
Sample standard deviation (s) = 2.728
Mean (mu) = 25
Tstatistic formula :
(x - mu) / (s/sqrt(n))
n = sample size = 6 ; s = 2.728 ; mu = 25
Sample mean (x) = (26.5 + 28 + 30.2 + 29.6 + 32.3 + 24.7) / 6
Sample mean (x) = 171.3 / 6 = 28.55
Tstatistic = (28.55 - 25) / (2.728 / sqrt(6))
Tstatistic = 3.55 / 1.1137013
Tstatistic = 3.1875692
The function domain: x<0 or 0<x<4 or x>4 (?) I believe....
So 2 gallons every 5 minutes
2/5= .4
so .4 a minute
and you already have 5 gallons in so those need to be added
m=minutes
y=0.4m + 5 will be what you want to find out if you are looking to find out how much will be there in a certain time
for 50 minutes you will have
y=0.4(50) +5
20+5
25 gallons
HOWEVER, the equation has to be changed if you want to tell how long you have to wait for it to fill.
m=2.5(g-5)
m=minutes
g= gallons
you subtract 5 because they are already there
you multiply by 2.5 because it fills at a rate of 1 gallon every 2.5 minutes.
m=2.5(1500-5)
for the sake of it being easier i will do the -5 separately
2.5(1500 = 3750
2.5(-5= -12.5
3750-12.5
3737.5 minutes to fill the pool.
3720/60 = 62
17.5/60 = .292
62.292 hours to fill the pool.
p.s. you have a really slow hose.
Its good you didn't wait for it to fill, you would have died from lack of water before then if you just sat and waited.
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There are 12 Nickels, 9 Quarters, and 15 Dimes.
Answer:
Yes, they are equivalent
Step-by-step explanation:
Divide the second numerator by the first numerator
Divide the second denominator by the first denominator
Compare the quotients and if they are the same then the fractions are equivalent
