Alright, lets get started.
Last year, Ronnie's utility expenses were = 1935.67 $
After switching to electric water heater to solar water heater, his yearly utility bills get reduced.
This year, Ronnie's utility expenses are = 862.40 $
So the difference on utility bills Ronnie saved = 
so, difference Ronnie saved = 1073.27 $
So, the percentage of amount Ronnie saved = 
Percentage of amount Ronnie saved = 55.45 %
Hence, 55.45 % Ronnie save on his utlility bills by switching to a solar water heater. : Answer
Hope it will help :)
Answer:
The amount of work required to remove all of the water by pumping it over the side = 3.12 × 10⁶ lbs.ft
Step-by-step explanation:
Work done in moving anything from point A to point B = Fx
For this setup,
If we take an elemental vertical height, dx, The volume would be A.dx
where A = Cross sectional Area = πr² = π(18)² = 1017.88 ft²
dV = 1017.88 dx
The elemental force on that part will be
dF = ρg dV
ρg = 63.8 lbs/ft³
dF = 63.8 × 1017.88 dx = 64940.5 dx
F = ∫dF = 64940.5 dx
W = Fx = (∫dF)x = ∫ 64940.5x dx = 64940.5 ∫ xdx
We'll be integrating from (11 - 6) ft to 11 ft because that's the total height it'll be pumped through
W = 64940.5 (x²/2)¹¹₅ = 64940.5((11² - 5²)/2) = 3.12 × 10⁶ lbs.ft
6 because 6 is the GCF (greatest common factor)
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HOPE THIS HELPS!!!!!!! ;-)
Answer:
Step-by-step explanation:
To find the HCF of 144 and 180
By using product of prime method
Firstly express 144 as a product of it prime and express 180 as a product of it prime
140=2×2×2×2×3×3
180=2×2×3×3×5
Common factor =2×2×3×3
36
in term of m
m=36
13m-3
To find m
Substitute for m when m=36
13(36)-3=
465
Answer: 0.009
Step-by-step explanation:
Formula we use here : Binomial distribution formula
Probability of getting success sin x trial =
, where n is the sample size and p is the probability of success in each trial .
Given : A study conducted at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year after graduation.
i.e. p= 0.65
Sample size : n= 11
Now, the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating:-
Hence, the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating = 0.009
