. if x1, x2, x3 are independent random variables that are uniformly distributed over (0, 1), compute the probability that the largest of the three is greater than the sum of the other two.

Answers

Answer 1

The probability that the largest of the three random variables is greater than the sum of the other two is:P(x1 > x2 + x3) = 1/4

The probability of an event occurring is equal to the number of favorable outcomes divided by the total number of outcomes. In this case, the total number of outcomes is 8, since each of the three random variables can take on any value between 0 and 1 independently. The favorable outcomes are those in which x1 is greater than the sum of the other two variables, which is 1/4 of the total number of outcomes. Therefore, the probability that the largest of the three random variables is greater than the sum of the other two is 1/4.

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Related Questions

Please help me I will try to give a lot of points

Answers

Given :-

A figure is given to us .

To Find :-

To determine if $ \overline{KM} || \overline{JN}$ .

Solution :-

Here we can use the Thales Theorem , according to which here if the ratio of JK and KL will be equal to the ratio of MN and ML then the lines KM and JN will be parallel .So ,

$\longrightarrow$ JK/KL = MN/ML

$\longrightarrow$ 22.5/25 = 18/20

$\longrightarrow$ 225/250 = 18/20

$\longrightarrow$ 9/10 = 9/10

Hence here since the ratios are equal the lines will be parallel.

Order the numbers from least to greatest. −34, 0.5, 23,−73, 1.2 The order of the numbers from least to greatest

Answers

Answer:

-73, -34, 0.5, 1.2, 23

Step-by-step explanation:

Hope this helps:)....if not sorry for wasting your time and may God bless you:)

-73, -34, 0.5, 1.2, 23

In a triangle ABC, let G denote its centroid and let M,N be points in the interiors of the segments AB,AC, respectively, such that M,G,N are collinear. If r denotes the ratio of the area of triangle AMN to the area of ABC then find r.

Answers

Answer: hello options related to your question is missing attached below is the missing option

answer :

4/9 ≤ r < 1/2 ----- ( c )

Step-by-step explanation:

Given that G denotes the centroid of triangle ABC and points M, N are points found in the interiors of segments AB,AC

also Given that r denotes ratio of triangles AMN to triangle ABC

attached below is a detailed solution

In a triangle ABC, let G denote its centroid and let M,N be points in the interiors of the segments AB,AC,

What is x=__° pleaseee help

Answers

Answer:

100 degrees

sorry if i wrong

Step-by-step explanation:

Mr. Johnson tracked the number of hours spent reading by students in two different classes over summer break. Each dot represents a student.
Which statement correctly compares the data?

A. Although the mean number of hours spent reading by class A students is generally greater than the mean number of hours spent reading by class B students, the variability creates too much overlap for any conclusion to be made.

B. Class A students generally spent the exact same number of hours reading as class B students.

C. Class A students generally spent more hours reading than class B students.

D. Class B students generally spent more hours reading than class A students.

Answers

D is correct answer because class b is spending more hours

Question 31 (5 points) Find the area of the shaded portion if we know the outer circle has a diameter of 4 m and the inner circle has a diameter of 1.5 m. O O 10.8 m2 O 12.6 m2 O 43.2 m2 O 1.8 m2

Answers

The shaded portion area A corresponds to the area Ao of the outer circle minus the area Ai of the inner circle:

A = Ao - Ai

Also, the area of each circle of radius r is given by:

π r²

where the radius r is half the diameter d.

So, using r = d/2 in the above formula, we obtain:

π r² = π (d/2)² = (π/4) d²

Now, replacing each area with the corresponding diameter, we find:

A = Ao - Ai

= (π/4) 4² - (π/4) 1.5²

= (π/4) (4² - 1.5²)

= (π/4) (16 - 2.25)

= (π/4) (13.75)

≅ 10.799

Rounding the result to one decimal place, we find the answer:

10.8 m²

QUESTION 1 PLS HELP ME!!

Answers

Answer:

It is D

Step-by-step explanation:

If m m the value of x.

Answers

Answer:

i dont understand the question

Step-by-step explanation:

Be more specific love

x/9-8=10 for the life of me

Answers

The given equation is

$\frac{x}{9}-8=10$

First, we add 8 on each side.

$\begin{gathered} \frac{x}{9}-8+8=10+8 \\ \frac{x}{9}=18 \end{gathered}$

Then, we multiply by 9.

$\begin{gathered} \frac{x}{9}\cdot9=18\cdot9 \\ x=162 \end{gathered}$Hence, the solution is x = 162.

To factor 4x^2-25, you can first rewrite the expression as:

a. (2x-5)^2
b. (2x)^2-(5)^2
c. (x)^2-(2)^2
d. None of the above

Answers

To factor the expression 4x^2 - 25, we can use the difference of squares formula, which states that a^2 - b^2 can be factored as (a + b)(a - b).

In this case, we have 4x^2 - 25, which can be written as (2x)^2 - 5^2. Comparing it with the difference of squares formula, we can identify that a = 2x and b = 5. Therefore, the correct option is:

b. (2x)^2 - (5)^2

Using the difference of squares formula, we can factor it as follows:

(2x + 5)(2x - 5)

Hence, the correct factorization of 4x^2 - 25 is (2x + 5)(2x - 5), which is equivalent to option b.

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Please help
Please help me will award brainliest

Answers

Answer:

the anwsere is d>?

Step-by-step explanation:

55 POINTS QUICK PLS Your friend is able to invest $120 a month in a 401(k) with a predicted growth rate of 3%. Your friend's company will match 50% of your friend's contributions.

Answers

a. The monthly contribution from a friend's company is $120 minus 0.5, or $60.

b. The total monthly contribution to the fund is $180.

The computation of FV in Excel is shown in the attachment below:

What is meant by growth rate?

Using the current number as a starting point, subtract the prior value to determine the growth rate. To calculate the growth rate in percentage terms, divide the difference by the previous amount and multiply the result by 100. Growth Rate equals (Ending Value - Beginning Value) - 1. The year-over-year (YoY) growth rate of a business, for instance, would be 20% if its revenue increased from $100 million in 2020 to $120 million in 2021.

GDP, turnover, wages, etc., all have growth rates that reflect how much they have changed over time (month, quarter, year). Percentages are a pretty common way to communicate it.

20 years is the age.

20 times 12 periods equals 240.

3% growth rate

The computation of FV in Excel is shown in the attachment below:

So, FV= $7,223,115.77

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A. 4 in
B. 5 in
C.60 in
D. 1.7 in
FOR BRAINLIST!!!!

Answers

The answer would be B.

Answer:

A. 4in

Step-by-step explanation:

Since the triangles are similar, their sides are in ratio. Therefore, we can say that:

KL/JK=BC/AB

x/1.5=16/6

x=(1.5)(16/6)

x=4

NEED ANSWER ASAP!!

How much water should be added to 18 mL of 15% alcohol solution to reduce the concentration to 9%?

Answers

Couldn’t type the whole problem so here you go

NEED ANSWER ASAP!!How much water should be added to 18 mL of 15% alcohol solution to reduce the concentration

Please help me with 5

Answers

Answer:

14:6,

21,9

28:12

Step-by-step explanation:

7x2=14

3x2=6

7x3=21

3x3=9

7x4=28

3x4=12

Type the expression that results from the following series of steps:
Start with G, add X, then divide by A

Answers

Step-by-step explanation:

Start with G => G

Add X => G + X

Divide by A => (G + X)/A

Hebce the expression is (G + X)/A.

Answer:

, divide by 7, then add 3.

Step-by-step explanation:

Does the point (2, -2) lie on the line 3x − y = 4?

Answers

Answer:

Step-by-step explanation:

When you plug in (2,-2) into the equation, the solution does not equal 4. So the point (2,-2) does not lie on the line.

The following data values represent a population. What is the variance of the
values?
7,5, 11, 1, 11
O
A. 4
B. 14
C. 24
D. 34
O

Answers

Answer:

B 14 is the correct answer

HELP
A watermelon is shot out of an air cannon and travels 22 yards. How many feet does the watermelon travel?

Which conversion factor could you use to answer the question?

Answers

Answer:

1 yard = 3 feet

so...

22 yards = 3 (22)

3 x 22 = 66

conversion factor: 3/1

Step-by-step explanation:

Answer:

3 feet over 1 yard

Step-by-step explanation:

enjoy

Assisted-Living Facility Rent. Costs are rising for all kinds of medical care. The mean monthly rent at assisted-living facilities was reported to have increased 17% over the last five years to $3486. Assume this cost estimate is based on a sample of 120 facilities and, from past studies, it can be assumed that the population standard deviation is .

Answers

Complete Question

Assisted-Living Facility Rent.Costs are rising for all kinds of medical care. The mean monthly rent at assisted-living facilities was reported to have increased 17% over the last five years to $3486 (the Wall Street Journal, October 27, 2012). Assume this cost estimate is based on a sample of 120 facilities and, from past studies, it can be assumed that the population standard deviation is s = $650. a. Develop a 90% confidence interval estimate of the population mean monthly rent.

Answer:

$CI: 3388.39<X<3583.61$

Step-by-step explanation:

Sample Size n=120

Mean \=x =3486

Standard Deviation \sigma=650

Confidence interval CI=0.9

Therefore

Level of sig $\alpha=0.1$

Therfore

The Critical Value from table is

Z_c=1.645

Generally the equation for Standard error is mathematically given by

$S.E=\frac{\sigma}{\sqrt{n}}$

$S.E=\frac{650}{\sqrt{120}}$

$S.E=59.3366$

Generally the equation for Margin error is mathematically given by

$M.E= = Z_c * SE$

$M.E=1.65 * 59.34$

$M.E= 97.61$

Therefore

$CI= \=x \pm M.E$

$CI= 3486 \pm 97.61$

Lower limit

$LL= \=x-M.E=3486-97.6087$

$LL= 3388.39$

Upper limit:

$UL= \=x+E=3486+97.6087$

$UL= 3583.61$

Therefore The 90% confidence interval estimate of the population mean monthly rent.

$CI: 3388.39<X<3583.61$

Dan has twice as many stickers as cam does. If Dan gives cam 15 of his stickers he will have 22 more than cam. How many stickers does each boy have? HURRY

Answers

i’m not very sure but it might be 74 because if you add 15 to 22 you get 37 and 37 x 2= 72..? sorry if i’m wrong :(

Evaluate log4 exponent 0.5

Answers

We can claim that after answering the above question, the So, logarithm $log4 (0.5^(1/2)) =-0.0752$

what is logarithm?

The logarithm is a power's reciprocal in mathematics. Accordingly, the exponent by which b must be raised to obtain a number x equals the logarithm of that number in base b. For instance, since 1000 = 103, its base-10 logarithm is 3, or log10 = 3. As an illustration, the base 10 logarithm of 10 is 2, while the square of 10 is 100. Log 100 = 2. To answer a question like, For example, how many times must a base of 10 be multiplied by itself to achieve 1,000, a logarithm (or log) is the mathematical term utilized. The solution is 3 (1,000 = 10 10 10).

Using the following property of logarithms:

$log_a (b^c) = c * log_a (b)\\log4 (0.5^(1/2))\\(1/2) * log4 (0.5)\\log4 (0.5) = log (0.5) / log (4)\\log (0.5) ≈ -0.3010\\log (4) = 2$

Therefore,

$log4 (0.5) ≈ -0.3010 / 2 ≈ -0.1505\\(1/2) * log4 (0.5) ≈ (1/2) * (-0.1505) ≈ -0.0752\\$

So, $log4 (0.5^(1/2)) =-0.0752$

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Of the last 20 trains to pull into Lakeside
Station, 14 were full. What is the
experimental probability that the next
train to pull in will be full?
Write your answer as a fraction or whole
number.
P(full) =

Answers

The experimental probability that the next train to pull into Lakeside Station will be full is 7/10.

The experimental probability of the next train to pull into Lakeside Station being full can be calculated by dividing the number of times a full train occurred by the total number of trains observed.

Given that out of the last 20 trains, 14 were full, we can express the experimental probability as a fraction:

P(full) = Number of full trains / Total number of trains observed

P(full) = 14 / 20

Simplifying the fraction, we get:

P(full) = 7 / 10

Therefore, the experimental probability that the next train to pull into Lakeside Station will be full is 7/10.

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what is the value of the expression below when c=5 and d=4?
6c² -5d + 8
A 48
B 79
C 138
D 888

Answers

Step-by-step explanation:

Goal

Evaluate the expression.

Given

Expression

6c²-5d+8

Condition

c = 5 and d = 4

Step 1

Substitute c = 5 and d = 4 in the expression.

6(5)²-5(4)+8

6(25)-20+8

Step 2

Evaluate the expression.

150-20+8

150-12

138

Hence, the solution is 138.

Answer:

138 is answer please give brainliest

what is the value of the expression below when c=5 and d=4? 6c -5d + 8A 48B 79C 138D 888

Subtract a4 + 4a²b2 – 2b^4 from –3a^4 + 5a²b2 + 2b^4 - Your answer should be a polynomial in standard form.

Answers

Answer:

4a^4-4b^4-5a^2b^2

Step-by-step explanation:

find common variables and subtract/add

a^4+3a^4=4a^4

-2b^4-2b^4=-4b^4

0-5a^2b^2=-5a^2b^2

apply

4a^4-4b^4-5a^2b^2

A pyramid has a square base with an area of 169ft. What is the perimeter of the base of the pyramid?

Answers

Answer:52 ft.

Step-by-step explanation: If the area of the base of the pyramid is

169

then each side of the base is

long because the base of the pyramid is a square.

Length of the side,

√

169

Iif we take the area of a square

where

we get the area of the base to be

169

thus proving that each side of the base is

long.

So to find the perimeter of the base of the pyramid we use the formula:

where

and thus,

⋅

Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options. 2(x2 + 6x + 9) = 3 + 18 2(x2 + 6x) = –3 2(x2 + 6x) = 3 x + 3 = Plus or minus StartRoot StartFraction 21 Over 2 EndFraction EndRoot 2(x2 + 6x + 9) = –3 + 9

Answers

The steps that she could use to solve the quadratic equation are determined as:

2(x² + 6x + 9) = 18 + 3(x + 3)² = 21/2

What is a Quadratic equation?

ax2+bx+c=0, with a not, equals 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

The solution to the quadratic equation is determined as follows;

2x² + 12x - 3 = 0

2x² + 12x = 3

divide through by 2

x² + 6x = ³/₂

take half of the coefficient of x, square it and add it to both sides of the equation

(x + 3)² = ³/₂ + 3²

x² + 6x + 9 = 9 + ³/₂

2(x² + 6x + 9) = 18 + 3

Thus, the steps that she could use to solve the quadratic equation are determined as 2(x² + 6x + 9) = 18 + 3 and then (x + 3)² = 21/2.

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Complete question:

Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Check all that apply.

2(x2 + 6x + 9) = 3 + 182(x2 + 6x) = –32(x2 + =6x) = 3(x + 3)² = 21/22(x2 + 6x + 9) = –3 + 9(x + 3)2 = 6/2

Which ordered pair solves this linear system?
Y= -x
Y= 2x

Answers

The ordered pair that solves the system of equation is (0, 0).

To solve this system, we can substitute the first equation into the second equation to eliminate y:

x = 2x

Solving for x, we get x = 0.

Substituting x = 0 into the first equation, we get y = 0.

Therefore, the ordered pair that solves the system is (0, 0).

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Cylinders A and B have the same radius but different heights. Which
statement correctly compares cylinder A and cylinder B?
h = 10 cm
r= 6 cm
A
r= 6 cm
B
h = 30 cm
A. The height of cylinder B is 5 times the height of cylinder A
B. The volume of cylinder B is 5 times the volume of cylinder A.
C. The volume of cylinder B is 3 times the volume of cylinder A.
D. The heights of cylinders A and B are the same.
k

Answers

The correct statement that compares cylinder A and cylinder B is B. The volume of cylinder B is 5 times the volume of cylinder A.

To compare the cylinders A and B, we need to consider their dimensions and properties.

Cylinder A:

Radius (r) = 6 cm

Height (h) = 10 cm

Cylinder B:

Radius (r) = 6 cm

Height (h) = 30 cm

To compare the two cylinders, we can focus on their volumes since the radius is the same for both. The formula for the volume of a cylinder is given by V = πr²h, where V represents volume, r represents radius, and h represents height.

For cylinder A:

Volume of cylinder A = π(6 cm)²(10 cm) = 360π cm³

For cylinder B:

Volume of cylinder B = π(6 cm)²(30 cm) = 1080π cm³

Comparing the volumes, we can conclude that the volume of cylinder B is greater than the volume of cylinder A.

Therefore, the correct statement that compares cylinder A and cylinder B is:

B. The volume of cylinder B is 5 times the volume of cylinder A.

Option A is incorrect since the height of cylinder B is not 5 times the height of cylinder A. Option C is also incorrect as the volume of cylinder B is not 3 times the volume of cylinder A. Option D is incorrect as the heights of cylinders A and B are different.

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5/8x3/5
help please

Answers

Answer:

3/8

Step-by-step explanation:

reduce the numbers with the greates componentes factor. 5 and then calculate the product

The answer to the problem is 3/8

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