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Lerok [7]
4 years ago
9

Choose a point uniformly at random in a unit square (square of side length 1). Let X be the distance from the point chosen to th

e nearest edge of
the square.


(a) Find the cumulative distribution function of X .

(b) Find the probability density function of X .

Mathematics
1 answer:
Montano1993 [528]4 years ago
3 0

Answer:

The solution is attached below:

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Help with Another Pre Calculus Question
swat32

The last  equation h(x) = 2x+4/x+1.

<h3>What is a graph?</h3>

The pictorial representation of quantities and how the increase or decrease in one affects the other.

Analysis:

The graph cuts the x-axis and y-axis at (-2, 0) and(0, -4) respectively.

gradient of the curve = y2 - y1/x2 - x1 = -4-0/0--2 = -4/2 = -2.

The equation with a gradient equal to -2 is, h(x) = 2x+4/x+1

differentiating the equation by quotient rule,

u = 2x+4, du/dx = 2, v = x+1 dv/dx = 1

dy/dx = \frac{(x+1)(2) - (2x+4)(1)}{(x+1)^{2} } = \frac{-2}{(x+1)^{2} }

When x = -2, dy/dx = -2

In conclusion, 2x+4/x+1 is the equation for the curve above.

Learn more about parabolic curves: brainly.com/question/12896871

#SPJ1

8 0
2 years ago
Bill can type 19 words per minute faster than bob. their combined typing speed is 97 words per minute. find bobs typing speed
Marina86 [1]

Answer:

Bob's typing speed is 39 words per minute.

Bill's typing speed is 58 words per minute.

Step-by-step explanation:

<u>Given : </u>

Bill can type 19 words per minute faster than bob. their combined typing speed is 97 words per minute.

<u>To Find : </u>

Bobs typing speed

<u>Solution : </u>

Let the bobs typing speed is x

According to the given question :

Bobs typing speed is x

Bill's typing speed is 19+x

Their combined speed is 97 words per minute.

<u>Solving value x : </u>

x + 19+x = 97

2x + 19 = 97

2x = 97 - 19

2x = 78

x = 78/2

x = 39

Bobs typing speed = 39

Bill's typing speed 39 + 19 = 58

Hence, Bobs speed is 39 words per minute.

8 0
4 years ago
Read 2 more answers
Which ordered pair is a solution to the system of inequalities? y &lt;3 and y &gt;-x+5 ?
Aleksandr-060686 [28]
It should be A 6,1 because 6 is the x-axis and 1 is the y-axis
7 0
3 years ago
A total of 697 tickets were sold for the school play. They were either adult tickets or student tickets. There were 53 fewer stu
Burka [1]
Let x = number of adult tickets sold
Let x-53 = number of student tickets sold

x + x -53 = 697
2x - 53 = 697. 

Add 53 to both sides to get:

2x = 750

Divide both sides by 2 to get:

x = 375

375 adult tickets were sold. 
5 0
4 years ago
What exactly does skew mean?
Sever21 [200]
Two parallel lines are skew if they are not parallel but are in different planes, which means that they will not intersect, in spite of they are not parallel.

7 0
3 years ago
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