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Brut [27]
3 years ago
5

4. Evaluate f(x) = - 9x + 8 at the given value

Mathematics
1 answer:
allsm [11]3 years ago
6 0

Answer:

y= 9x + 8

Step-by-step explanation:

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Consider a circle of radius 1 with center at the point A = (1; 0). Let O denote the origin. A point B is chosen at random on the
Ksivusya [100]

Consider the points on the circle in polar coordinates: all points on the circle are a fixed distance away from the center, and their coordinates are determined entirely by an angle \theta\in[0,2\pi) made relative to the positive x-axis.

Any point B on the circle has x-coordinate x(\theta)=1+\cos\theta. Let \Theta be a random variable uniformly distributed on the interval [0,2\pi). Then

P(\Theta=\theta)=\begin{cases}\frac1{2\pi}&\text{for }\theta\in[0,2\pi)\\0&\text{otherwise}\end{cases}

\implies P(\Theta\le\theta)=\begin{cases}0&\text{for }\theta

Now,

P(X\le x)=P(1+\cos\Theta\le x)=P(\Theta\le\cos^{-1}(x-1))

so that the density of X is

P(X=x)=\dfrac{\mathrm d}{\mathrm dx}P(\Theta\le\cos^{-1}(x-1))

\implies P(X=x)=\begin{cases}\frac1{\pi\sqrt{2x-x^2}}&\text{for }0\le x\le2\\0&\text{otherwise}\end{cases}

6 0
3 years ago
For the function N(y)=4|3y-8|-4, evaluate N(y)+N(1).
likoan [24]

Step-by-step explanation:

N(y)+N(1)=4|3y-8|-4 + 4|3-8|-4

=4|3y-8| +12

8 0
3 years ago
Please help, i have no idea how to do this
notsponge [240]

Answer:

  8 square units

Step-by-step explanation:

The figure is a trapezoid. The area of it is given by the formula ...

  A = (1/2)(b1 +b2)h

where b1 and b2 are the lengths of the parallel bases and h is the distance between them.

Your figure shows the base lengths to be 5 and 3, and their separation to be 2. Filling the numbers in the formula, we have ...

  A = (1/2)(5 +3)(2) = (1/2)(8)(2) = 4·2 = 8

The area of the figure is 8 square units.

_____

The right-pointing arrows on the horizontal lines identify those lines as being parallel. The right-angle indicator and the 2 next to the dotted line indicate the perpendicular distance between the parallel lines is 2 units.

4 0
3 years ago
Can I get help for number 17
damaskus [11]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
Multiplying desimals​
kolezko [41]

Answer:

Line up the numbers on the right - do not align the decimal points.

Starting on the right, multiply each digit in the top number by each digit in the bottom number, just as with whole numbers.

Add the products.

Step-by-step explanation:

7 0
3 years ago
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