A company is reviewing tornado damage claims under a farm insurance policy. Let X be the portion of a claim representing damage to the house and let y be the portion of the same claim representing damage to the rest of the property. The joint density function of X and Y is f(x,y) = { 3 4^-x 0; 0< x, 0 < y, 0 < x + y < 2 otherwise Calculate the probability that the sum of the claim representing damage to the house and the claim representing the rest of the property is more than 1.
Answers
The probability that the sum of the claim representing damage to the house and the claim representing the rest of the property is more than 1 is 0.1875.
We need to find P(X+Y > 1), where X and Y are the portions of the claim representing damage to the house and the rest of the property, respectively.
We can find this probability by integrating the joint density function f(x,y) over the region where X+Y > 1. This region is the triangular region with vertices at (0,1), (1,0), and (1,1). Thus, we have:
P(X+Y > 1) = ∫∫R f(x,y) dA
where R is the region described above.
Breaking the integral into two parts, we have:
P(X+Y > 1) = ∫0^1 ∫1-x^2^4-x dy dx + ∫1^2 ∫0^2-x f(x,y) dy dx
Evaluating the integrals, we get:
P(X+Y > 1) = 0.1875
For more questions like Probability click the link below:
https://brainly.com/question/30034780
#SPJ11
Related Questions
Consider the following data set. Round your answers to the nearest hundredth as needed.36 65 45 50 6535 65 56 42 29Mean =Median =Mode =Range =Sample Standard Deviation =Check Answer
Answers
The data is given as,
\(36\text{ , 65, 45, 50 , 65, 35, 65, 56, 42, 29.}\)The mean is defined as,
\(A=\frac{36+65+45+50+65+35+65+56+42+29}{10}\)\(A=\frac{388}{10}\)Thus the mean is 38.8.
The mode of the data is the value repeated most number of times.
\(\text{Mode}=\text{ 65.}\)The median is determined as, first set the data in ascending order.
\(29,35,\text{ 36, 42, 45, }50\text{ , 56, 65, 65, 65.}\)\(\text{Median }=\frac{\lbrack(\frac{n}{2})th\text{ }+(\frac{n}{2}+1)th\rbrack}{2}\)Substiute the value of n equals ot 10,
\(\text{Median}=\frac{\lbrack(\frac{10}{2})th+(\frac{10}{2}+1)\rbrack}{2}\)\(\text{Median}=\text{ }\frac{5th\text{ }+6th}{2}\)\(\text{Median }=\frac{45+50}{2}\)\(\text{Median}=\text{ }\frac{95}{2}\)Thus, the median is 47.5
The range of the data is the difference between the highest and lowest value.
\(R=65-29\)\(R=36.\)The range is 36.
there are 30 people in student council that are running for the offices of president and vice president. in how many different ways can those offices be assigned?
Answers
Answer: Assuming that it matters which one is president and which is vice president, and the same person cannot be assigned both posts, the answer is 30*29, or 870.
Step-by-step explanation:
Can someone help me please I don’t get this (due today)
Answers
Sure, I will help you.
25. Measure of MP=152 degrees.
26. Measure of QNL=208 degrees.
27. Measure of WT=155 degrees.
28. Measure of WTV=205 degrees.
I believe that these answers are correct, but if not, please let me know. If you have any questions, feel free to ask.
HELP LOOK AT THE PIC
Answers
Answer:
I think this is 15.75x+21.
Step-by-step explanation:
you need to start by adding 0.25 and 1.50 and then add 3x+6x, and then 8+4, making the equation now 1.75(9x+12).
Finally, multiply 1.75 by 9x, getting 15.75. Lastly, multiply 1.75 by 12, getting 21.
Which two operations are needed to write the expression that represents "five less than the quotient of a numb
three"?
O multiplication and subtraction
O division and subtraction
O multiplication and addition
O division and addition
Answers
if p = 2^k + 1 is prime, show that every quadratic nonresidue of p is a primitive root of p.
Answers
Every quadratic nonresidue of p is a primitive root of p, when p = 2^k + 1 is primeIf p = 2^k + 1 is a prime number, we want to show that every quadratic nonresidue of p is a primitive root of p.
In other words, we aim to prove that if an element x is a quadratic nonresidue modulo p, then it is also a primitive root of p.
Let's assume p = 2^k + 1 is a prime number. To prove that every quadratic nonresidue of p is a primitive root of p, we can use the properties of quadratic residues and quadratic nonresidues.
A quadratic residue modulo p is an element y such that y^((p-1)/2) ≡ 1 (mod p), while a quadratic nonresidue is an element x such that x^((p-1)/2) ≡ -1 (mod p).
Now, let's consider an element x that is a quadratic nonresidue modulo p. We want to show that x is a primitive root of p.
Since x is a quadratic nonresidue, we know that x^((p-1)/2) ≡ -1 (mod p). By Euler's criterion, this implies that x^((p-1)/2) ≡ -1^((p-1)/2) ≡ -1^2 ≡ 1 (mod p).
Since x^((p-1)/2) ≡ 1 (mod p), we can conclude that the order of x modulo p is at least (p-1)/2. However, since p = 2^k + 1 is a prime, the order of x modulo p must be equal to (p-1)/2.
By definition, a primitive root of p has an order of (p-1). Since the order of x modulo p is (p-1)/2, it follows that x is a primitive root of p.
Learn more about Euler's criterion here:
brainly.com/question/12977984
#SPJ11
Please help! Photo is linked! Help asap! Extra points!
Answers
Answer:
c and d
Step-by-step explanation:
Point A is located at (−4,2) and point B is located at (0,5).Find AB to the nearest tenth.
Answers
Answer:
The length of line segment AB is 5.
Step-by-step explanation:
Envision a right triangle that has one acute vertex at (-4, 2) and the other at (0, 5). The horizontal distance from the first to the second vertex is 0 - (-4) = 4, and the vertical distance is 5 - 2 = 3.
Then the length of the hypotenuse, according to the Pythagorean Theorem, is
d = √(4² + 3²) = 5
The length of line segment AB is 5. Note that this is a 3-4-5 triangle, and so 3² + 4² = 5²
Richard's living room is 8 yards wide and 8 yards long. He wants to install pink carpet that costs $1.00 per square yard. How much will it cost to buy enough carpet for the living room?
PLEASEE HELLPPPP!
Answers
Area = Length x width
Area = 8 x 8 = 64 square yards
Total cost = area x cost per square yard
Total cost = 64 x 1.00 = $64
Answer for brainliest.
Answers
hope this can help
three men owned some money, their shares being 1/2, 1/3, and 1/6. each took some money at random until none was left. the first man then returned 1/2 of what he had taken, the second 1/3 and the third 1/6. when the money now in the pile was divided equally among the men, each possessed what he was entitled to. how much money was in the original store, and how much did each man take?
Answers
Answer:
1/2 + 1/3 + 1/6 = 3/6 + 2/6 + 1/6 = 6/6 = 1
Originally, all of the money was taken and then returned.
Then each man took 1/3 of the money (which was equal to that originally present)
Sally and Dave Both walk from their houses to the bus stop every morning. Sally walks 2.1 kilometers further, and together they walk 4.5 kilometers. If Dave walks a distance of d kilometers, find the value of d.
Answers
The value of d is 1.2.
According to the question,
Distance walked by Dave from his house to the bus stop = d kilometer.
Distance walked by Sally and Dave together = 4.5 kilometers.
Therefore, the distance walked by Sally alone = (4.5 - d) kilometers.
Also, Sally walks 2.1 km more than Dave. ( according to the question)
Therefore, the distance walked by Sally alone = (d + 2.1) km.
∴ 4.5 - d = d + 2.1
⇒ 2d = 4.5 - 2.1
⇒ 2d = 2.4
∴ d = 1.2
Hence, the value of d is 1.2.
For more questions on word problems on linear equation,
https://brainly.com/question/31070931
each of the six cards shiws a shape. which pair of cards show a shape and its image after a rotation? card1, card 2 card 3 card 4 card 5 card 6
Answers
After looking carefully the six cards, I
What is the part of line having 1 endpoint and extending in one direction?
Answers
A part of a line that has 1 endpoint and extends indefinitely in only one direction is called a ray.
A ray is named using its endpoint first, and then any other point on the ray
Properties of ray:
A line is a series of points placed together that continue infinitely.When this line is restricted from one direction and is extended in the other direction indefinitely, it forms a ray.It has just one starting point and does not have an opposite end and goes through and cuts many points and lines and is often used to draw angles, and we cannot measure the length of a ray.To know more about ray:
https://brainly.com/question/28045419
#SPJ4
8. Mason bought a pair of running shoes for $36.98. If the sales tax is 6.5%, how much
did he pay in total?
Answers
Answer:
$39.38
Step-by-step explanation:
$36.98 * 6.5%= 2.4037
2.4037 + 36.98= 39. 3837
round up
$39.38
Answer:
39.38
Step-by-step explanation:
I NEED ANSWERS ASAP PLS!!:)
Answers
Answer: its a
Step-by-step explanation: look at the bar graph you have to really look at it and be the graph
Answer:
None of the following are true. I don't know what you are supposed to answer.
Hope that this helps!
if two tables have a one-to-many relationship, which of the following do you typically need to add to the table on the "many" side?
Answers
When two tables have a one-to-many relationship, you typically need to add a foreign key to the table on the "many" side to link the records to the corresponding record in the "one" table.
In a one-to-many relationship, the table on the "one" side is usually the primary key table, and the table on the "many" side is usually the foreign key table. The foreign key is used to link the records in the "many" table to the corresponding record in the "one" table. This is done by adding a column to the "many" table that contains the primary key value from the "one" table.
When designing a database, it is important to establish relationships between tables to ensure data integrity and avoid redundant data. In a one-to-many relationship, one record in the primary key table can be associated with many records in the foreign key table. To establish a one-to-many relationship, you need to create a primary key in the "one" table and a foreign key in the "many" table. The foreign key is a column that contains the primary key value from the "one" table. For example, if you have a "customers" table and an "orders" table, the "customers" table would be the primary key table and the "orders" table would be the foreign key table. Each record in the "orders" table would have a foreign key column that contains the customer ID from the "customers" table.
To know more than tables visit :-
https://brainly.com/question/14231889
#SPJ11
a nurse manager approves two staff nurses to attend a national conference
Answers
The nurse manager approves two staff nurses to attend a national conference.
The nurse manager has given their authorization or consent for two staff nurses to participate in and attend a national conference. This decision indicates that the nurse manager recognizes the value and relevance of the conference for professional development and sees the benefit of the staff nurses' participation. By approving their attendance, the nurse manager demonstrates support for their growth, learning, and exposure to new knowledge, experiences, and networking opportunities available at the conference.
To know more about nurse,
https://brainly.com/question/29544576
#SPJ11
.2. Determine whether the feasible set for each of the following systems of constraints is convex, and if not, indicate points x^1 and x² that violate definition. a) (x1)² + (x2)² > 9
x1 + x2 ,10
x1, x2 > 0
Answers
The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.
a) (x1)² + (x2)² > 9
This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.
b) x1 + x2 ≤ 10
This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.
c) x1, x2 > 0
This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.
Now, let's analyze the intersection of these constraints:
Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).
To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.
If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).
Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
Learn more about circle here
brainly.com/question/11878555
#SPJ4
Estimate the amount of the tip by rounding the bill to the nearest ten dollars before calculating.
20% tip on a bill of $945.41
Answers
Answer: 189.082
189.082 is 20% of 945.41
Step-by-step explanation:
What is 20% of 945.41?
Y is 20% of 945.41
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 20% * 945.41
Converting percent to decimal:
p = 20%/100 = 0.2
Y = 0.2 * 945.41
Y = 189.082
5 The points L, M and N are such that LMN is a straight line. The coordinates of L are (-4, 3) The coordinates of Mare (5, 8) Given that LM: MN = 3:4, find the coordinates of N.
Answers
The coordinates of point N are approximately (16.52, 14.912).
To find the coordinates of point N, we need to use the ratio of LM:MN, which is given as 3:4.
Let's start by calculating the distance between points L and M using the distance formula:
Distance LM = √[(\(x2 - x1)^2 + (y2 - y1)^2]\)
= √[(\(5 - (-4))^2 + (8 - 3)^2]\)
= √[\(9^2 + 5^2]\)
= √[81 + 25]
= √106
≈ 10.296
Now, let's consider the ratio of LM:MN. We have LM = 10.296 and the ratio is 3:4.
Since the ratio of the lengths LM:MN is 3:4, we can express the length MN as (4/3) times the length LM:
MN = (4/3) * LM
= (4/3) * 10.296
≈ 13.728
Now, to find the coordinates of point N, we need to move 13.728 units from point M in the same direction as LM. Since LM is a straight line, we can calculate the change in x and y coordinates and add them to the coordinates of point M.
Change in x = (13.728 / 10.296) * (5 - (-4))
≈ 11.52
Change in y = (13.728 / 10.296) * (8 - 3)
≈ 6.912
Coordinates of N = (5 + 11.52, 8 + 6.912)
= (16.52, 14.912)
For more such questions on coordinates visit:
https://brainly.com/question/31293074
#SPJ8
HELP PLEASE 5MIN LEFT
a 84
b 630
c 426
d 28
Answers
Answer:
a 84, I may be wrong, sorry if I am.
What is the common ratio between successive terms in the sequence 1.5, 1.2, 0.96, 0.768
Answers
Answer:
To determine the common ratio of a geometric sequence. You just need to divide any two consecutive terms on it. You can see below that all of them have the same quotient.
1.2 / 1.5 = 0.8
0.96 / 1.2 = 0.8
0.768 / 0.96 = 0.8
.
Decimal form = 0.8
Fraction form = 4/5
.
Check:
1.5 x 0.8 = 1.2
1.5 x 4/5 = 6/5 = 1 1/5 = 1.2
Therefore, the common ratio between successive terms in the sequence? 1.5, 1.2, 0.96, 0.768 is 0.8 or 4/5.
Answer:
It Is 0.8
Step-by-step explanation:
I took the quiz
Parallel to the graph of y = 7x - 6 with y-intercept (0,3)
Answers
Answer:
The graph of the lines is given in the picture below:
How to do this?? URGENT PLS HELP WILL GIVE BRAINLIEST
Answers
Answer:
Point T is at (4,3)
Step-by-step explanation:
uh, I did math
Answer:
(4,3)
Step-by-step explanation:
goodluck
if you vertically stretch the linear parent function f(x)=x, by a factor of 8, what is the equation of the new function
Answers
Answer:
\(g(x) = 8x\)
Step-by-step explanation:
Given:
\(f(x) = x\)
\(Stretch\ factor = 8\)
Required:
Equation of the new function.
Let the new function be represented by \(g(x)\)
The interpretation of this question is that;
\(g(x) = f(x * 8)\)
Multiply 8 by x
\(g(x) = f(8x)\)
If
\(f(x) = x\)
then
\(f(8x) = 8 * x\)
Multiply 8 by x
\(f(8x) = 8x\)
Recall that
\(g(x) = f(8x)\)
Substitute \(f(8x) = 8x\) in the above expression
\(g(x) = 8x\)
Hence, the equation of the new function when stretched by a factor of 8 is \(g(x) = 8x\)
an irs representative claims that the average deduction for medical care is $1250. a taxpayer who believes that the real figure is lower samples 32 random families and comes up with a sample mean of $934 and a sample standard deviation of $619. what conditions are met?
Answers
Based on the provided information to conduct the hypothesis test the condition met are random sampling, sample size, independence. From this sample, the taxpayer calculates a sample mean of $934 and a sample standard deviation of $619.
To conduct a hypothesis test, we need to ensure certain conditions are met. These conditions are:
1. Random sampling :The taxpayer used a random sample of 32 families, which helps to ensure the sample is representative of the population.
2. Sample size: The sample size is 32, which is considered a large enough sample size for a hypothesis test (generally, a sample size of 30 or more is considered large enough).
3. Independence: Since the sample is random and the sample size is less than 10% of the population (assuming there are more than 320 families), the independence assumption can be considered as met.
4. Approximately normal distribution: With a sample size of 32 (which is considered large), the Central Limit Theorem suggests that the sampling distribution of the sample mean will be approximately normal.
With these conditions met, the taxpayer can proceed with a hypothesis test to compare their sample mean with the IRS representative's claimed average and determine whether the real figure for medical care deductions is likely to be lower than $1,250.
Learn more about standard deviation here:
https://brainly.com/question/13498201
#SPJ11
a furlong is a distance of 180 yards. a fortnight is a time period of two weeks. a race horse is running at a speed of 7 yards per second. what is his speed in furlongs per fortnight?
Answers
The race horse's speed is approximately 256 furlongs per fortnight.
To determine the race horse's speed in furlongs per fortnight, we need to convert both the distance and time units to their respective values.
1 furlong is equal to 180 yards, so the horse's speed in yards per second (7 yards/second) can be converted to furlongs per second:
Speed in furlongs per second = (7 yards/second) / (180 yards/furlong) = 7/180 furlongs/second
Next, we need to convert the time from seconds to fortnights. Since a fortnight is a time period of two weeks, and there are 7 days in a week, a fortnight consists of 14 days:
Time in seconds per fortnight = (14 days/fortnight) * (24 hours/day) * (60 minutes/hour) * (60 seconds/minute) = 1,209,600 seconds/fortnight
Finally, we can calculate the horse's speed in furlongs per fortnight by multiplying the speed in furlongs per second by the time in seconds per fortnight:
Speed in furlongs per fortnight = (7/180 furlongs/second) * (1,209,600 seconds/fortnight) = 46,080/180 furlongs/fortnight ≈ 256 furlongs/fortnight
The race horse's speed is approximately 256 furlongs per fortnight.
For more such questions on speed
https://brainly.com/question/26862717
#SPJ8
For f(x)=4x+1 and g(x)=x^2-5, find (g/f)(x)
Answers
Answer:
\((g/f)(x) = \frac{g(x)}{f(x)} = \frac{ {x}^{2} - 5 }{4x + 1} \)
I hope I helped you^_^
the closing price of schnur sporting goods incorporated common stock is uniformly distributed between $20 and $30 per share. what is the probability that the stock price will be: a. more than $27?
Answers
There is a 30% chance that the stock price will be more than $27. Since the closing price of the stock is uniformly distributed between $20 and $30, we can assume that each value within that range has an equal chance of occurring. Therefore, the probability of the stock price being more than $27 is the same as the probability of the stock price falling between $27 and $30.
To get this probability, we can calculate the proportion of the total range that falls within the $27 to $30 range. This can be done by finding the length of the $27 to $30 range (which is $3), and dividing it by the length of the entire range ($30 - $20 = $10).
So the probability of the stock price being more than $27 is: $3 / $10 = 0.3, or 30%
Therefore, there is a 30% chance that the stock price will be more than $27.
Learn more about probability here, https://brainly.com/question/13604758
#SPJ11