Which number is equivalent to –(–2)?

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 .

Read more about Arithmetic

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Answer:

try breaking the windows when the car is submerged so pressure can break the windows and then you can hopefully swim through the windows.

Answer:

52% = 0.52

78/0.52 =150

150 students voted

Answer:

150

Step-by-step explanation:

When you multiply a number by a percentage you have to convert the percentage to a decimal so 52% turns into 0.52. If you multiply the number of votes by 0.52 it should equal to 78. In order to find the total number of votes.  you have to go backwards and divide. So you divide 78 by 0.52 and it should give you 150.

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

your welcome :}

Answer:

9

Step-by-step explanation:

the equation of the line is y= x-4

Step-by-step explanation:

so so the first thing that you're going to do is get y alone

-x-5=y

next you're going to find your slope which in this case is negative one.

after that in order to find the equation of a parallel line you're going to find the reciprocal of the slope.

so in this case the reciprocal is one.

next you're going to substitute in the cordinates to find the y intercept

x+b=y. (-1)+b= -5. (. b is the y intercept)

b= -4

Answer:

x=21

Step-by-step explanation:

180-126=54

54-12=42

42/2=21

x=21

Answer:

4x(x^2 + 13x + 36)

Step-by-step explanation:

Multipy through to get the original value

54 hope it helps 54 that what is gave it to me

Answer:

one question at a time please

Answer:

f(4)=-42

Step-by-step explanation:

f(x)=-4(x+3)-14

(sub 4 for x in the equation f(x) to find f(4))

f(4)=-4×(4+3)-14

(simplify inside the bracket)

=-4×7-14

(multiply 7 and -4)

=-28-14

(simplify)

=-42

Answer:

False

Step-by-step explanation:

Decimals such as 1.2, 4.95, 2.28914 are all rational numbers.

If it doesnt end then its irrational, such as pi. but we know the exact amount of the numbers above therefore its rational. Also it can be put in fraction form which is another way to determine if rational or not.

Answer: 15.8

In this number, .8 is the tenths place. So round it to this number.

.839 rounded to nearest tenth = .8

Your result should be 15.8.

15.839 rounded to the nearest tenth is 15.8.

Answer: value grocery store

Step-by-step explanation: Because when you divide all the numbers by each other your gonna get 0.6 .

The same popular crackers are on sale at Value Grocery Mart and Market City for 5.25, 10.5, 15.75, and 21 cents.

As the cost per pack is C=1.75b. C is the Cost in dollars.

3 × 1.75 = 5.25

6 × 1.75 = 10.5

9 × 1.75 = 15.75

12 × 1.75 = 21

Here, the table is given below

The complete question is:

Value Grocery Mart and Market City are both having a sale on the same popular crackers. McKayla is trying to determine which sale is the better deal: Using the given table and equation, determine which store has the better deal on crackers? Explain your reasoning. (Remember to round your answers to the nearest penny.) Value Grocery Mart: 12 6 3 20 15 Number of Boxes of Crackers 10 5 Cost (in dollars) Market City: c = 1.75b, where c represents the cost in dollars, and b represents the number of boxes of crackers

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Answer:

160 animals

Step-by-step explanation:

Answer:

b = $4000

Step-by-step explanation:

Let b represent the bonus amount.

Then the bonus, b, less the three deductions, is represented by

b - 0.30b - 0.30b - 025b, and this comes to $600.  Find the value of b.

b - 0.85b = $600, or

0.15b = $600

Then b = $4000

Answer: Length = 11

              Width = 9

Step-by-step explanation:

Let x represent the unknown length.

Let x - 2 represent the unknown width.

The perimeter is equal to 2 times x + (x -2)

Equation:

2 (x + (x - 2)) = 40

x + (x - 2) = 40/2

x + x - 2 = 20

2x - 2 = 20

2x -2 + 2 = 20 + 2

The length is: 2x = 22 -> x = 22/2 -> x = 11

The width is: x - 2 = 9

Answer:

0.5

Step-by-step explanation:

5.348

5 is in ones place

5/10=0.5

Answer:

x = 2.5

or

x = 1/4

Step-by-step explanation:

watch the following steps:

4x + 28 = 38

4x = 38 - 28

4x = 10

x = 2.5

or

x = 1/4

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Answer:

2.5, maybe

Step-by-step explanation:

distribute 4 into x and 7

subtract 28 from both sides (28-28, 38-28)

divide 4 and 10

2.5

it seems odd...

Answer:

2

Step-by-step explanation:

first write out the expression

(2 ^ 2)×(2^3)/(2^4)

using bodmas we deal with the division sign first as well as using the laws of indices. Thus we have

(2^2)×(2^[3-4])

= (2^2)×(2^-1)

=(2^[2+(-1)])

= (2^(2-1))

= (2^1)

= 2

Answer: 1,000,000,000

10⁹ cannot be written in decimal form.

Plz mark brainliest:)

Answer:

The answer is -11x and -21

Answer:

[tex] RC = 40 [/tex]

Step-by-step explanation:

Given:

PC = 3x + 7,

RC = 5x - 15,

QC = 51 - x.

Required:

measure of RC

SOLUTION:

Given that C is the circumcenter of ∆PQR, therefore, vertices P, Q, and R are equidistant from C.

So therefore,

[tex] PC = RC = QC [/tex]

Let's find the value of x using:

[tex] PC = RC [/tex]

[tex] 3x + 7 = 5x - 15 [/tex] (substitution)

Collect like terms

[tex] 3x - 5x = -7 - 15 [/tex]

[tex] -2x = -22 [/tex]

Divide both sides by -2

[tex] x = \frac{-22}{-2} [/tex]

[tex] x = 11 [/tex]

Find the measure of RC

[tex] RC = 5x - 15 [/tex]

substitute x = 11 into the equation

[tex] RC = 5(11) - 15 [/tex]

[tex] RC = 55 - 15 [/tex]

[tex] RC = 40 [/tex]

Answer:

40

Step-by-step explanation:

Answer:

210

Step-by-step explanation:

Use the order of operations pemdas( parenthesis, exponent, multiply, divide, add, subtract)

first do everything within the parenthesis.

3 ( ( 3 (9-2) ) + ( 7 (8-1) ) )

3 ( ( 3 (7) + ( 7 ( 7 ) ) )

3 ( ( (21) + (49) ) ) )

3 ( ( 21 + 49 ) )

3 ( 70 )

3 (70) = 70 + 70 + 70 = 140 + 70 = 210