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3 years ago

Working together, two pumps can drain a certain pool in

Mathematics

2 answers:

ki77a [65]3 years ago

8 0

Answer:

10.5 hours.

Step-by-step explanation:

Given,

Two pumps can drain a certain pool in 6 hours.

So, the combined one hour work of the pumps = $\frac{1}{6}$ ,

Also,older pump takes 14 hours to drain the pool by itself,

The one hour work of older pump = $\frac{1}{14}$ ,

Thus, the one hour work of newer pump = Combined one hour work - one hour work of older pump,

$=\frac{1}{6}-\frac{1}{14}$

$=\frac{7-3}{42}$

$=\frac{4}{42}$

Hence, the total time taken by newer pump = $\frac{1}{4/42}=\frac{42}{4}=10.5\text{ hours}$

podryga [215]3 years ago

5 0

New pump = (Old Pump * Total) / (Old Pump - Total)
New pump = (14 * 6) / (14 -6)
New pump = (84) / (8)
New Pump = 10.5 hours

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What is the percent of decrease on an item that went from $25 to $20?

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3 years ago

David earns $8.59 an hour. His benefits package is equal to 18 percent of his hourly wages. When you include the value of his be

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3 years ago

To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin tablets that are similar in

lukranit [14]

Answer: $\dfrac{26}{27}$

Step-by-step explanation:

Given : To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin tablets that are similar in appearance.

Proportion of success : $p=\dfrac{6}{9}=\dfrac{2}{3}$

Sample size taken by customs oﬃcial : n= 3

Let x be a binomial variable that represents the tablets in the bottle.

Using Binomial probability formula :-

$P(X=x)=^nC_xp^x(1-p)^{n-x}$

The probability that the traveler will be arrested for illegal possession of narcotics = $P(x\geq1)=1-P(x=0)$

$1-^3C_0(\dfrac{2}{3})^0(1-\dfrac{2}{3})^3\\\\=1-(1)(1)(\dfrac{1}{3})^3\ [\becuase ^nC_0=1]\\\\=1-\dfrac{1}{27}=\dfrac{26}{27}$

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3 years ago

Write a third-degree polynomial function whose zeros are 1, −3, and 4.

WARRIOR [948]

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Now, if you multiply the first two factors together, you get the following:

(x² + 2x - 3)

Multiply that by the last factor, (x - 4), and you get this:

(x³ + 2x² - 3x - 4x² - 8x + 12)

This can be simplified:

(x³ - 2x² - 11x + 12)

And there's your final answer. Hope this helped!

8 0

3 years ago

Read 2 more answers