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Vanyuwa [196]
3 years ago
8

Thousands of people are going to a Grateful dead concert in Pauley Pavillion at UCLA. They park their 10 foot cars on several of

the long streets near the arena. There are no lines to tell the drivers where to park, so they park at random locations, and end up leaving spacings between the cars that are independent and uniform on (0, 10). In the long run, what fraction of the street is covered with cars?
Mathematics
1 answer:
nexus9112 [7]3 years ago
7 0

Answer:

  2/3

Step-by-step explanation:

The expected length of a space is 1/2×(10 ft) = 5 ft. So, the length of a car and a space is 10+5 = 15 feet. The car takes up 10 feet of that, or 10/15 = 2/3 of the total.

About 2/3 of the street will be covered with cars.

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Find the value of the following without any exponents.
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Answer:

A.) 1/49

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Step-by-step explanation:

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Veseljchak [2.6K]
Because 1/2 ≠ 1/6.

We know that 1/6 < 1/2, so we can set up an equation to see how many copies are needed for them to be equal.

(1/6)x = 1/2
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x = 6/2 = 3

This equation shows that 1/6 × 3 = 1/2, therefore we need 3 copies of 1/6 to equal 1 copy of 1/2.
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1k + 9&gt;30 <br><br> Plis ayúdenme
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3. Find the volume of the cylinder
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3 years ago
Do I have to solve this before graphing it and if so how do I go about it?
defon

Given the System of Equations:

\begin{cases}y=4x-1 \\  \\ y=x-4\end{cases}

The exercise asks for solving it graphically. Then, in this case, you need to graph both lines in order to determine the solution of the system.

In order to graph it, you can find the x-intercepts and the y-intercepts:

1. It is important to remember the Slope-Intercept Form of the equation of a line:

y=mx+b

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In this case, you can identify that the y-intercept of the first line is:

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2. By definition, the value of "y" is zero when the line intersects the x-axis.

Then, you need to substitute the following value of "y" into each equation and then solve for "x", in order to find the x-intercept of each line:

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\begin{gathered} y=x-4 \\ 0=x-4 \\ 4=x \\ x_2=4 \end{gathered}

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4. Knowing those points, you can graph the lines:

Notice that the line intersect each other at

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