Answer:
[tex]-0.25[/tex]
The decimal 0.5 represents the fraction 5/10. The decimal 0.25 represents the fraction 25/100.
[tex]\frac{25}{100}[/tex]
-BBBM
Complete the following equation;
Y=k?
The random variables X and Y are jointly continuous, with a joint PDF of the form fX,Y(x,y)={cxy,0,if 0≤x≤y≤1,otherwise, where c is a normalizing constant. For x∈[0,0.5] , the conditional PDF fX|Y(x|0.5) is of the form axb . Find a and b .
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 .
What are the values of a and b?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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Find the value of x.
Answer:
x=21
Step-by-step explanation:
180-126=54
54-12=42
42/2=21
x=21
Graph the line passing through (4,−1) whose slope is m=43.
1+1
Please, please, this is just to get to 20 words. lol
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
your welcome :}
5. What is the quotient if you divide 9/12 - 1/6
54 hope it helps 54 that what is gave it to me
I’m not sure how to do this .
Answer:
A
Step-by-step explanation:
when you have this its asking for layers look at the shapes and you see what one matches
Answer:
A
Step-by-step explanation:
This is because this picture looks mainly like the isometric shape on the dot paper. In the other choices, you are clearly missing or adding some other part of the isometric shape.
Hope this helps!
Examine the following function. f(x)=8x2+2x−15 What are the factors of the function?
(4x−5)(2x+3)
(4x+5)(2x−3)
(4x−3)(2x+5)
(4x+3)(2x+3)
Answer:
(4x-5) (2x+3)
Step-by-step explanation:
(4x-5) (2x+3)
The factors of the function f(x)=8x²+2x−15 are (4x -5) and (2x + 3).
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
Given:
We have the quadratic function,
f(x)=8x²+2x−15.
To find the factors:
8x²+2x−15,
= 8x²+ 12x - 10x −15
= 4x(2x +3) -5(2x +3)
= (4x -5)(2x + 3)
Therefore, the factors are (4x -5) and (2x + 3).
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A zoo has 400 animals. If 40% of the animals are sick, how many animals is
that
Answer:
160 animals
Step-by-step explanation:
Answer please thanks for answer
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.
The perimeter of a rectangular garden is 40 it. The length is 2 ft more than the width. Find the length and the width of the garden.
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
C is the circumcenter of PQR
PC=3x+7, RC=5x-15 and QC=51-x.
what does RC equal?
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:
whats 10 to the power of 9 as a decimal
Answer: 1,000,000,000
10⁹ cannot be written in decimal form.
Plz mark brainliest:)
What is this answer it says it’s wrong
Answer:
[tex]-10x^3y^2+5x^2y^3-2x^3+7y^2[/tex]
Answer: tex.z-dn.net/?f=-10x%5E3y%5E2%2B5x%5E2y%5E3-2x%5E3%2B7y%5E2
Step-by-step explanation: Hope this helps. Have a good night ma´ám/sir. Be safe!
4x^3+52x^2+144x
solve by factoring
Answer:
4x(x^2 + 13x + 36)
Step-by-step explanation:
Multipy through to get the original value
Chan receives a bonus from his job. He pays 30% taxes, pays 30% charity and 25% debt. Has $600 remaining from his bonus. What was the total amount of chains bonus?
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
Simplify 3{[3(9 – 2)] + [7(8 – 1)]}
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
How much weight should the 5'10 male weighing 185lbs lose to be considered healthy? Round to the nearest pound. his BMI is 36.1
Answer:
Normaly its 150 to 138
Step-by-step explanation:
I need help! Find the equation of a line parallel to 3x-3y=5 that contains the point (-1,-5). Write the equation in slope Intercept form.
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
Without multiplying, determine the sign of the product (−247,634) × (183,758).
Mary drives for Uber. Uber charges a $3 flat rate plus $0.30 per mile driven.
What is the CONSTANT here? *
(1 Point)
$3
Uber
$0.30
$3.30
Answer:
$3.00 is the constant
Step-by-step explanation:
let x be the mile driven then
total charge=$3.00+[x($0.30)]
Miki bought some erasers at the school store for $0.39. After
paying for the erasers, she had $0.13 left. Which amount is a
reasonable estimate of the money Miki had to start with?
3+3+3
Please Help....
Answer:
9
Step-by-step explanation:
A decimal is never a rational number
True
False
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.
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:
Number of Boxes of Crackers
3
6
9
12
Cost (in dollars)
5
10
15
20
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.
What are the differences between chart and tabular forms?A chart is one that displays data using symbols such as bars in a bar chart, columns in a line chart, or slices in a pie chart. A chart can represent tabular numerical data, functions, or specific types of quality structures to convey a variety of information.Using a tabular form and a single page, users can change multiple rows and columns in a table at the same time.A chart displays data in the form of a table, graph, or diagram. It can convey vast amounts of information in a variety of ways.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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Write a number that has a 5 that is 1/10 the value of the 5 in 5.348
Answer:
0.5
Step-by-step explanation:
5.348
5 is in ones place
5/10=0.5
5. Find the equation of the line through the points (-6, 12) and (-4,91
Answer:
The answer is -11x and -21
Henry recorded how many pounds of fruits and vegetables his
family bought during the past two months.
ok
uibciuendsjdddddddddddddddddddddddddddddddddddddddddddddddddddddddddfffffffffffffff
The required answer is,
A) The weight of 4 fruits round to the nearest 0.1 pound is-
Apple = 2.1
Blueberries = 1.1
lemon = 1.0
Orange = 3.5
B) The weight of 4 vegetables round to the nearest 0.01 pound is-
Asparagus = 2.32
Beats = 1.86
Celery = 1.40
Corn = 2.56
What is rounding of digit?Rounding is a process to estimate a particular number in a context.
To round a number look at the next digit in the right place, if the digit is less than 5, round down and if the digit is 5 or more than 5, roundup.
Now the given weights in pounds of the fruits are,
Apple = 2.068
Blueberries = 1.07
lemons = 1.031
Orange = 3.502
Peaches = 2.608
Pears = 3.592
The given weights in pounds of the vegetables are,
Asparagus = 2.317
Beats = 1.862
Celery = 1.402
Corn = 2.556
Potatoes = 3.441
Red onions = 1.863
Now picking the 4 fruits,
Apple = 2.068
Blueberries = 1.07
lemons = 1.031
Orange = 3.502
To round the weight to the nearest 0.1 pounds we see the digit at 0.1 place, if the digit right to the 0.1 place is greater than or equal to 5 roundup the digit, and if it is less than 5 round down the digit.
Thus,here we get
2.068 = 2.1
1.07 = 1.1
1.031 = 1.0
3.502 = 3.5
Thus, the weight of 4 fruits round to the nearest 0.1 pound is-
Apple = 2.1
Blueberries = 1.1
lemon = 1.0
Orange = 3.5
Now picking 4 vegetables,
Asparagus = 2.317
Beats = 1.862
Celery = 1.402
Corn = 2.556
To round the weight to the nearest 0.01 pounds we see the digit at 0.01 place, if the digit right to the 0.01 place is greater than or equal to 5 roundup the digit, and if it is less than 5 round down the digit.
Thus,here we get
2.317 = 2.32
1.862 = 1.86
1.402 = 1.40
2.556 = 2.56
Thus, the weight of 4 vegetables round to the nearest 0.01 pound is-
Asparagus = 2.32
Beats = 1.86
Celery = 1.40
Corn = 2.56
The required answer is,
A) The weight of 4 fruits round to the nearest 0.1 pound is-
Apple = 2.1
Blueberries = 1.1
lemon = 1.0
Orange = 3.5
B) The weight of 4 vegetables round to the nearest 0.01 pound is-
Asparagus = 2.32
Beats = 1.86
Celery = 1.40
Corn = 2.56
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Find the solution to the equation.
4(x + 7) = 38 i need it ASAP plzzz
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
Pls consider marking my answer as Brainliest! It would mean a lot!
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...
What is the simplified expression for 2 power 2 multiplied by 2 power 3 over 2 power 4? (1 point)
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