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2 years ago

It takes your garden hose 20 seconds to fill your 2-gallon watering can. How long will it take to fill

Mathematics

1 answer:

White raven [17]2 years ago

5 0

Answer: a) 1791 seconds

b) 29701 seconds

Step-by-step explanation:

1 us gallon = 0.134 cubic foot

It takes your garden hose 20 seconds to fill your 2-gallon watering can. Converting 2 gallons to cubic foot, it becomes

2 × 0.134 = 0.268 cubic foot

a) The volume of inflatable pool measuring 3 feet wide, 8 feet long, and 1 foot deep.

Volume = 3 × 8 × 1 = 24 cubic feet

If 0.268 cubic foot = 20 seconds

24 cubic feet = (24 × 20)/0.268

= 1791 seconds

b) Volume of a cylinder is πr²h

Diameter = 13 feet

Radius = diameter/2 = 13/2 = 6.5

Volume of the circular pool is

3.14 × 6.5² × 3 = 397.995 cubic feet

If 0.268 cubic foot = 20 seconds

397.995 cubic feet = (397.995 × 20)/0.268

= 29701 seconds

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Read the ruler in millimeters to the correct degree of precision (The ruler is in between the halfmark and the sixth mark on the

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3 1/2

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2 years ago

Nick starts with 20 milligrams of a radioactive substance. The amount of the substance decreases by 12 each week for a number of

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2 years ago

A local library claims it has 2.73x103 books. If there are 42 people in the building, how many books per capita are there?

sveticcg [70]

Answer:

$Per\ Capita = 64$

Step-by-step explanation:

Given

$Books = 2.7 * 10^3$

$People = 42$

Required

Determine the per capita

The per capita is calculated by dividing number of books by people as follows;

$Per\ Capita = \frac{Books}{People}$

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$Per\ Capita = \frac{2.7 * 10^3}{42}$

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2 years ago

Without properly working spark plugs, a vehicle will not run. For a specific vehicle, the spark plugs are supposed to have a gap

Salsk061 [2.6K]

Answer:

The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.

P(3.9≤X≤4.3) = 0.9922

Step-by-step explanation:

Step(i):-

Given that the mean of the Normal distribution = 4.1mm

Given that the standard deviation of the Normal distribution = 0.0075mm

Let 'X' be the random variable in a normal distribution

Given that X₁ = 3.9mm

$Z_{1} = \frac{X_{1} -mean}{S.D}$

$Z_{1} = \frac{3.9 -4.1}{0.075} = -2.666$

Given that X₂ = 4.3mm

$Z_{2} = \frac{X_{2} -mean}{S.D}$

$Z_{1} = \frac{4.3 -4.1}{0.075} = 2.666$

Step(ii):-

The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.

P(3.9≤X≤4.3) = P(-2.666≤Z≤2.666)

= P(Z≤2.666)-P(Z≤-2.666)

= 0.5 +A(2.666) - (0.5-A(2.666)

= 2 × A(2.666)

= 2×0.4961

= 0.9922

Final answer:-

The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.

P(3.9≤X≤4.3) = 0.9922

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1 year ago

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CaHeK987 [17]

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2 years ago