___ probability is the probability of an event K occurring, given that event L has or

Dropping less than two inches per mile after emerging from the mountains, a river drains into the ocean. One Day's discharge at

pashok25 [27]

So, one trillion is 1 and twelve zeros, thus 2.4 trillion is 2 trillions and 400 billions or 24 followed by eleven zeros, because the "4" is using up a space.

now, 1 million is 1 and six zeros, thus 100 millions is 100 and six zeros or 1 and 8 zeros.

now, is 2.4 trillions in four months, thus 2.4trillion/4 will give us how many gallons in 1 month.

to find how many households, simply let's divide it by 100 millions

$\bf \cfrac{\stackrel{\textit{2.4 trillions}}{24\times 10^{11}}}{4}\implies \cfrac{24}{4}\times 10^{11}\implies 6\times 10^{11}
\\\\\\
\cfrac{\stackrel{\textit{gallons per month}}{6\times 10^{11}}}{\stackrel{households}{1\times 10^8}}\implies \cfrac{6}{1}\times \cfrac{10^{11}}{10^8}\implies 6\times 10^{11}\times 10^{-8}
\\\\\\
6\times 10^{11-8}\implies 6\times 10^3\implies \stackrel{\textit{gallons per household}}{6000}$

6 0

3 years ago

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The back of Dante's property is a creek. Dante would like to enclose a rectangular area, using the creek as one side and fencing

Allushta [10]

The correct value is 720 ft of fencing.

Answer:

Max Area = 64800 sq.ft

Step-by-step explanation:

A square will always give us the maximum area.

Thus, one side would be;

720/4 = 180 feet

So, we want a square 180 ft by 180 ft

however, from the question, we are to use the creek as one side. So, we'll take the 180 ft that we don't need because of the creek and then add it to the opposite side to get 180 + 180 = 360 ft.

Thus,we now have a rectangle with dimensions: 180 ft by 360 ft

Area is given by;

area = length × width

Maximum Area = 180 × 360

Max Area = 64800 sq.ft

6 0

3 years ago

Can someone help me with this ONE question? Write an equation.. and solve for X

matrenka [14]

Answer:

Equation: 720=(8x-1)+110+(5x+36)+116+(7x+19)+(6x-2)

x=17

Step-by-step explanation:

A 6 sided polygon is 720° degrees

so

720=(8x-1)+110+(5x+36)+116+(7x+19)+(6x-2)

Simplify

720=(8x+5x+7x+6x)+(−1+110+36+116+19+−2)

Combine like terms:

720=26x+278

flip equation:

26x+278=720

subtract 278 from both sides

26x=442

divide by 26 both sides:

x=17

Hope this helps.

7 0

2 years ago

PLEASEEEE HELPPP MEEE WITHHH THISS QUESTIONN PLEASEEE!!!!<br> I NEED A GREAT EXPLANATION PLEASEE!!!!

ipn [44]

The diagonal of a rhombus divides it into two congruent isosceles triangles.

So ∠CBD ≅ ∠CDB

∠CBD + ∠CDB + 68 = 180

2∠CBD = 180 - 68 = 112

∠CBD = 56

We also have

∠BDE + ∠E + ∠DBE = 180

∠DBE = 180 - 73 - 36 = 71

∠EBC = ∠EBD - ∠CBD = 71 - 56 = 15

Answer: ∠EBC = 15 degrees

4 0

3 years ago

A room contains three urns: u1, u2, u3. u1 contains 3 red and 2 yellow marbles. u2 contains 3 red and 7 yellow marbles. u3 conta

Archy [21]

Answer:

$\dfrac{11}{30}$

Step-by-step explanation:

Urn U1: 3 red and 2 yellow marbles, in total 5 marbles.

The probability to select red marble is $\dfrac{3}{5}=0.6.$

Urn U2: 3 red and 7 yellow marbles, in total 10 marbles.

The probability to select red marble is $\dfrac{3}{10}=0.3.$

Urn U1: 1 red and 4 yellow marbles, in total 5 marbles.

The probability to select red marble is $\dfrac{1}{5}=0.2.$

The probability to choose each urn is the same and is equal to $\frac{1}{3}.$

Thus, the probability that the marble is red is

$\dfrac{1}{3}\cdot 0.6+\dfrac{1}{3}\cdot 0.3+\dfrac{1}{3}\cdot 0.2=\dfrac{1.1}{3}=\dfrac{11}{30}.$

4 0

2 years ago