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Zielflug [23.3K]
3 years ago
8

Suppose that a point (X,Y) us chosen at random from the rectangle S defined as follows: S={(x,y) : 0<= x <=2 and 1<=y&l

t;=4.} a. Determine the joint p.d.f. of X and Y, the marginal p.d.f. of X, and the marginal p.d.f. of Y. b. Are X and Y independent?
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
7 0
For a 19 foot scale find the frequency of a note to the frequency of the preceding note?
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You go to an arcade and purchase a card with game credits. After playing 5 games you have 33 credits left. You play 4 more games
Amanda [17]

Answer:

y=-3x+48

Step-by-step explanation:

We will use slope-intercept form of equation to write our equation. The equation of a line in slope-intercept form is: y=mx+b, where m= Slope of the line, b= y-intercept.

To write the equation that represents the number of credits y on the cards after x games, we will find slope of our line.

We have been given that after playing 5 games we have 33 credits left. We play 4 more games and we have 21 credits left. So our points will be (5,33) and (9,21).

Let us substitute coordinates of our both given points in slope formula: m=\frac{y_2-y_1}{x_2-x_1},

m=\frac{21-33}{9-5}

m=\frac{-12}{4}=-3

Now let us substitute m=-3 and coordinates of point (5,33) in slope intercept form of equation to find y-intercept.

33=-3\cdot 5+b    

33=-15+b    

33+15=b    

48=b    

Upon substituting m=-3 and b=48 in slope-intercept form of an equation we will get,

y=-3x+48

Therefore, our desired equation will be y=-3x+48.

6 0
3 years ago
Simplify the expression explain each step 10+(2+y)
cestrela7 [59]

Answer:

12y

Step-by-step explanation:

3 0
3 years ago
Given the graph of log y=log(2)x. Find the area of the three inscribed rectangles
evablogger [386]

Answer: 6+2log_{2} 6

Step-by-step explanation:

S=s_{1} +s_{2} +s_{3} = 2(h_{1} +h_{2} +h_{3} )

h_{1} = log_{2}2=1

h_{2} = log_{2}4=2

h_{3} = log_{2}6

S = 2(1+2+log_{2}6) = 6+2log_{2}6

8 0
3 years ago
-
inysia [295]

Answer:

D. The graph of function g is the graph of function f shifted 4 units to the left.

Step-by-step explanation:

the function g is composite function between f and x + 4, then you can re-write g as:

g(x) = 10^{x+4}

The transformation happened in the input, then you have an horizontal shifted and how it's adding 4 units then you go "faster" and move to left the graph.

In the image you can see what's mean sum a constant in the x of a function.

8 0
2 years ago
Which letter represents (-2,3)?
Aleks [24]

Answer:

N represents (-2,3)

Step-by-step explanation:

x axis of N = -2

y axis of N = 3

5 0
2 years ago
Read 2 more answers
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