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Ludmilka [50]
3 years ago
8

David wants to fill his backyard swimming pool. His garden hose delivers 40 gallons in 5 minutes. How many gallons of water will

be in the pool after 20 minutes? After 1 hour?​
Mathematics
1 answer:
svetlana [45]3 years ago
5 0

Answer:

Part a) 160\ gallons

Part b) 480\ gallons

Step-by-step explanation:

Part a) How many gallons of water will be in the pool after 20 minutes?

we know that

Using proportion

\frac{40}{5}\frac{gallons}{minutes}=\frac{x}{20}\frac{gallons}{minutes} \\ \\x=40*20/5\\ \\x=160\ gallons

Part b) How many gallons of water will be in the pool after 1 hour

we know that

1 hour = 60 minutes

Using proportion

\frac{40}{5}\frac{gallons}{minutes}=\frac{x}{60}\frac{gallons}{minutes} \\ \\x=40*60/5\\ \\x=480\ gallons

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CitiBank recorded the number of customers to use a downtown ATM during the noon hour on 32 consecutive workdays. 39 41 25 17 48
zaharov [31]

Answer:

Mean = 31.22

Midrange = 28.50

Geometric mean = 28.74

Trimmed mean = 31.56

Step-by-step explanation:

Given the data :

39 41 25 17 48 29 31 17 24 36 17 24 40 38 42 11 43 47 27 25 17 23 43 20 32 48 26 26 9 46 44 44

Ordered data :

9, 11, 17, 17, 17, 17, 20, 23, 24, 24, 25, 25, 26, 26, 27, 29, 31, 32, 36, 38, 39, 40, 41, 42, 43, 43, 44, 44, 46, 47, 48, 48

The mean, xbar :

Xbar = Σx / n = 999 / 32 = 31.22

The midrange : (maximum - minimum) / 2

Midrange = (48 + 9) / 2 = 57 / 2 = 28.5

Geometric mean :

(x1*x2*.. xn)^1/n

Geometric mean = (x1*x2*.. xn)^1/32 = 28.74

24% trimmed mean :

24% of 32 = 0.24 * 32 = 7.68 ; this mean cutting off 8 values from the top and bottom and calculating the mean of the remaining values.

Data left :

24, 24, 25, 25, 26, 26, 27, 29, 31, 32, 36, 38, 39, 40, 41, 42

Σx / n = 505 / 16 = 31.5625

Trimmed mean = 31.56

7 0
2 years ago
Why is 1+(-5) equal to -4
erica [24]

1 + (-5) becomes 1 - 5 because you are adding a negative number.

1 - 5 is -4

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3 years ago
What is the correct method of solving the equation x/3-6=9 for x?
AveGali [126]

Answer: The value of x is 45

Step-by-step explanation:

The equation x/3-6=9 is a linear equation, where x/3 is the same as one-third of x.

Thus it is easily simplified as such:

x/3-6=9

Collect like terms

x/3 = 9 + 6

x/3 = 15

i.e (1/3) of X = 15

To get the value of x, cross multiply

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x = 45

Thus, the value of x is 45

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China's population is 1.446×10^9 . Marshall Island's population is 6.025×10^4 .
skad [1K]
This is 1.446 * 10^9  /  6.025 * 10^4  =  0.24 * 10^5  = 2.4 * 10^4 Answer
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PLEASE HELP ASAP!!! Take 2y 2 - 3y - 5 from y 3 - 6y 2 + 5y. Select the correct answer.
ss7ja [257]

Answer:

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