Alex would like to buy one pack of colored pencils

Answer:

The value of a and b are 8 and 1 respectively

Step-by-step explanation:

[tex]f_{x,y}(x,y)=\left\{\begin{matrix}cxy ,\text{if} 0 \leq x \leq y \leq 1\\ 0 , \text{otherwise}\end{matrix}\right.[/tex]

[tex]\int_{0}^{1}\int_{x}^{1}cxy \text{dy dx}=1\\\\c\int_{0}^{1}x\left ( \frac{y^2}{2}\right )_{x}^{1} \text{ dx}=1\\\\\frac{c}{2}\int_{0}^{1}x\left ( 1-y^2\right )\text{dx}=1\\\\\frac{c}{2}\int_{0}^{1}(x-x^3)\text{dx}=1\\\\\frac{c}{2}\left [ \frac{x^2}{2}-\frac{x^5}{4} \right ]_{0}^1=1\\\\\frac{c}{2}\left [ \frac{1}{2}-\frac{1}{4} \right ]=1\\\\\frac{c}{2}\left ( \frac{1}{4} \right )=1\\\\c=8[/tex]

Conditional pdf of [tex]f_{x,y}(x|0.5)[/tex]

[tex]f_{x,y}(x|0.5)=\frac{f_{xy}(x,y=0.5)}{f_{y}y}[/tex]

Normalizing pdf of 1

[tex]f_{y}y=\int_{0}^{y} 8yx \text{dx}[/tex]

[tex]f_{y}y=8y[\frac{x^2}{2}]_{0}^{y}\\f_{y}y=4y(y^2)\\f_{y}y=4y^3\\f_{x|y}(x|0.5)=\frac{8x(0.5)}{4(0.5)^3}=\frac{2x}{0.25}=8x[/tex]

We are given that PDF [tex]f_{x|y}(x|0.5)[/tex] is of the form [tex]ax^b[/tex]

So, on comparing 8x with [tex]ax^b[/tex]

So, a = 8 , b = 1

So, the value of a and b are 8 and 1 respectively

The resulting value of a and b given  the conditional PDF of fX|Y(x|0.5) is mathematically given as

a = 8 , b = 1 .

Question Parameters:

a joint PDF of the form fX,Y(x,y)={cxy,0,if 0≤x≤y≤1,

For x∈[0,0.5]

the conditional PDF fX|Y(x|0.5)

Generally, the equation for the function of (x,y)   is mathematically given as

[tex]f_{x,y}(x,y)=\left\{\begin{matrix}cxy ,\text{if} 0 \leq x \leq y \leq 1\\ 0 ,\end{matrix}\right.[/tex]

Therefore

[tex]\int_{0}^{1}\int_{x}^{1}cxy \text{dy dx}=1[/tex]

[tex]c\int_{0}^{1}x\left ( \frac{y^2}{2}\right )_{x}^{1} \text{ dx}=1[/tex]

[tex]\frac{c}{2}\left [ \frac{x^2}{2}-\frac{x^5}{4} \right ]_{0}^1=1[/tex]

[tex]\\\\\frac{c}{2}\left ( \frac{1}{4} \right )=1[/tex]

C=8

Where, the conditional PDF fX|Y(x|0.5)

[tex]f_{x,y}(x|0.5)=\frac{f_{xy}(x,y=0.5)}{f_{y}y}[/tex]

We have

[tex]f_{y}y=8y[\frac{x^2}{2}]_{0}^{y}\[/tex]

[tex]f_{y}y=4y^3[/tex]

[tex]f_{x|y}(x|0.5)=\frac{8x(0.5)}{4(0.5)^3}[/tex]

f_{x|y}(x|0.5)=8x

In conclusion. with the pdf in the form of ax^2

8x comparing ax^b

The value of a = 8 , b = 1 .

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Answer:

dhvbhdvhdhddjbd

Step-by-step explanation:

Answer:It take her 20 minutes, but I dont know how to graph yet, so I can only tell you that xx=20

how many faces does the dice have? I'm gonna assume it had six faces.

Answer:

1/6

Step-by-step explanation:

since the dice has one 1 on it and it cannot be seen

Answer:

x= - 8/9

Step-by-step explanation:

Answer:

20, 10, 12.50

Step-by-step explanation:

it is 9    aahh it says to short   well 3 times 9 is 27 then minus 17 is less than 13

Answer:

v <= 10

(-infinity, 10]

Step-by-step explanation:

3v - 17 <= 13

+17 +17

3v <= 30

3v/3 30/3

v <= 10

(-infinity, 10]

Answer:

Step-by-step explanation:

Answer:

k>3/2

Step-by-step explanation:

To solve this, you need to do fraction cross-multiplying.

So, If a/b=c/d, then a*d=c*b

After you cross-multiply, you get this: (11k-15)*4>3(5-2k)

If you simplify 3(5-2k), you get 15-6k

Then, simplify the next side as well

The full simplified expression should be: 44k-60>15-6k

If you add 60 to both sides, you get 44k>-6k+75

Then add 6k to both sides 50k>75

Then all you have to do is divide both sides by 50 and you get:

K>3/2 OR k>1.5

Answer:

The answer is $85.45 after the 5% discount

Answer:

5

4

6

.........................

Answer:

B.

Step-by-step explanation:

Answer:

0.05 per ounce

Step-by-step explanation:

5.20 per 40 is 0.13 per ounce

whereas

2.70 per 15 is 0.18 per ounce

Step-by-step explanation:

we know the formula(x^2-y^2)=(x+y)(x-y)

so (x+8)(x-8)=x^2-8^2=x^2-64

so the right answer is B

Answer:

I'm on Edulastic.com taking a 100 Q test and this question is on it!

Step-by-step explanation:

Imao im fgging confused

The graph of the required line [tex]\bold{y=\frac{x}{4}+2}[/tex] is given below.

An equation of line with slope m and passing through point (p, q) is:

(y - q) = m × (x - p)

We have been given the slope of the line m = 1/4,

and a point (p, q) = (0, 2)

Using the slope-point form equation of line would be,

⇒ (y - 2) = 1/4 × (x - 0)

⇒ (y - 2) = 1/4(x)    

⇒ y = x/4 + 2                          ...............................(1)

So, the equation of the line is [tex]y=\frac{x}{4} +2[/tex].

To plot the line we need at least  two coordinate points.

We have been given a point (0, 2).

We need to find another point.

Substitute x = -4 in equation (1),

⇒ y = (-4)/4 + 2

⇒ y  = -1 + 2

⇒ y = 1

So, another point on the line would be (-4, 1).

Now, we plot points (0, 2) and (-4, 1) on coordinates plane.

Then the graph of the line [tex]\bold{y=\frac{x}{4}+2 }[/tex] is as shown in figure.

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Answer:

if u could include a photo it may help more ..thanks

Answer:

12 pieces

Step-by-step explanation:

80 pieces of candy

1/4 is 25% or 20 pieces of candy

10% would be 8 pieces of candy

subtract the two. Your answer is 12

Answer:

He had 14 more pieces

Step-by-step explanation:

So 80/4 is 20 pieces. So we know John has 20. Now she has 60 left since 80-20 is 60. Now 10 percent of 60 would be 6 pieces. We can subtract 6 from 20 to find out how many more pieces John had. 20-6 is 14. So John had 14 more than Lisa

Answer:

-53, f(n) = -6(n-1) + 13

Step-by-step explanation:

given the equation to this linear/arithmetic sequence for the nth term: f(n) = -6(n-1) + 13

f(12) = -6(12-1) + 13

f(12) = -6(11) + 13

f(12) = -66 + 13

f(12) = -53

*substitute and simplify*

______________

f(n) = f(1) + d(n-1)

given f(1) = 13, f(2) = 7, and f(3) = 1

7-13 = 1-7 = -6 = d

= f(1) + d(n-1)

f(1) = 13 so

the equation must be f(n) = 13 - 6(n-1) or -6(n-1) + 13

Answer: A C E

Step-by-step explanation:

y = -1x-2 is the perpendicular line of the given line y - 1 = {(x+2).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The product of slope of perpendicular lines will be equal to minus one.

y-1=x+2 the line has a slope of +1.

The slope of the perpendicular line will be -1.

y = -1x-2 is the perpendicular line of the given line y - 1 = {(x+2).

Hence,  y = -1x-2 is the perpendicular line of the given line y - 1 = {(x+2).

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Answer:

s=3

Step-by-step explanation:

Answer:

s=3

Step-by-step explanation:

simplify the equation to the form, which is simple to understand  

and then move all terms containing s to the left and all other terms to the right!

Answer:

should be Infinitely many solutions

Step-by-step explanation:

Answer:

y = - 3x - 2

Step-by-step explanation:

Step 1:

y = mx + b     Slope Intercept Form

Step 2:

y = - 3x + b     Input Slope

Step 3:

4 = - 3 ( - 2 ) + b     Input x and y

Step 4:

4 = 6 + b     Multiply

Step 5:

- 2 = b       Subtract 6 on both sides

Answer:

y = - 3x - 2

Hope This Helps :)

Answer:

johanna prepares a mixture of salad mixed with mayonnaise carrots cucumber lettuce and cheese. what type of mixture divine salad is? why do you think so

Answer:

Step-by-step explanation:

Answer:

I want the free points. Sorry :)

Answer:

12 t-shirts

Step-by-step explanation:

12 x 75% = 9 = 9 t-shirts

Answer:they are both neagtive numbers.

Step-by-step explanation:

they say it right in front of you.

Answer:

771

Step-by-step explanation:

Answer:

ROC

Step-by-step explanation:

ROC. rate of change

On a table or graph, the constant change is same as the unit rate, rate of change or slope, which can be denoted as m.

Constant change on a graph or table simply refers to the rate of change of the output (y) over the change in input (x).

Constant change in a graph or table is the same as the unit rate or the slope value which is dented by the letter m.

Constant rate of change, unite rate, and slope can be denoted as m of a graph or table.

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