1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elenna [48]
2 years ago
5

Suppose that you toss a fair six-sided {1,2,3,4,5,6} die and let X represent the outcome obtained. Find the expected volume of a

box that has a height of 24 inches and a square base with side length X inches.
Mathematics
1 answer:
timofeeve [1]2 years ago
3 0

Answer:

The expected volume of the box is 364 cubic inches.

Step-by-step explanation:

Since the die is fair, then P(X=k) = 1/6 for any k in {1,2,3,4,5,6}. Let Y represent the volume of the box in cubic inches. For how the box is formed, Y = X²*24. Thus, the value of Y depends directly on the value of X, and we have

  • (When X = 1) Y = 1²*24 = 24, with probability 1/6 (the same than P(X=1)
  • (When X = 2) Y = 2²*24 = 96, with probability 1/6 (the same than P(X=2)
  • (When X = 3) Y = 3²*24 = 216, with probability 1/6 (the same than P(X=3)
  • (When X = 4) Y = 4²*24 = 384, with probability 1/6 (the same than P(X=4)
  • (When X = 5) Y = 5²*24 = 600, with probability 1/6 (the same than P(X=5)
  • (When X = 6) Y = 6²*24 = 864, with probability 1/6 (the same than P(X=6)

As a consequence, the expected volume of the box in cubic inches is

E(Y) = 1/6 * 24 + 1/6*96 + 1/6*216+ 1/6*384+ 1/6*600+1/6*864 = 364

You might be interested in
one teaspoon equals 0.5 centimeters. how many liters equals 50 teaspoons? Round the answer to the nearest hundredth.
alukav5142 [94]

50 teaspoons would equal 50*0.5 = 25 centimeters

1 cm = 0.001 liter

25*0.001 = 0.025 liters

8 0
2 years ago
Read 2 more answers
Consider the equation below.
Eduardwww [97]

Answer:

The equation has no solutions .

Step-by-step explanation:

Given as :

<u>The linear equation is </u>

\dfrac{3}{4}(24 -16 x) = \dfrac{-2}{3}(18 x -27)

Or, \dfrac{3}{4} ×24 - \dfrac{3}{4} × 16 x =  \dfrac{-2}{3} × 18 x -  \dfrac{-2}{3} × 27

Or,  \dfrac{3}{4} ×24 - \dfrac{3}{4} × 16 x =  \dfrac{-2}{3} × 18 x + \dfrac{2}{3} × 27

Or, \frac{3\times 24}{4} -  \frac{3\times 16 x}{4} =  \frac{-2\times 18 x}{3} + \frac{2\times 27 x}{3}

Or, 3 × 6 - 3 × 4 x = - 2 × 6 x + 2 × 9

Or, 18 - 12 x = - 12 x + 18

Or, 18 - 18 = - 12 x + 12 x

or, 0 = 0

∵ The linear equation has no variables , so the equation has no solution

Hence,The equation has no solutions . Answer

8 0
2 years ago
A triangle having sides of 2, 2, and 3 contains _____.
nikdorinn [45]
Don't quote me but i'm pretty sure it is a right triangle 
8 0
3 years ago
Read 2 more answers
SOMEONE.HALP.ME.
Natasha2012 [34]
3/4 = 0.75 in decimal inch
Karla wants to leave 0.75 inch in her signature.
4 -0.75 = 3.25 inch needed
0.25 = 1/4

3 and 1/4 inches is needed.
3 0
3 years ago
Find the prime factor of the number 3825.​
Masja [62]

Answer:

the answer is 3×3×5×5×17=3825 use prime factorization

3 0
3 years ago
Other questions:
  • Choose the graph that correctly corresponds to the equation x = −4. (5 points)
    15·2 answers
  • A square has vertices T(1,2), U(4,2), V(4,5), W(1,5). If the square is rotated clockwise 90 degrees around (0,0), what are the c
    14·1 answer
  • The diameter of a large lawn ornament in the shape of a sphere is 16 inches. What is the approximate volume of the ornament? Use
    10·2 answers
  • John assignments in value of his car overtime the equation for the line of best fit is approximate as Y represents 2.9 X +17.7 w
    7·1 answer
  • Find the distance between two points (-6,2) and (2,7)
    13·1 answer
  • over the course of four days the price of stock at ACM E corporation fall $28. what was the average change in stock price per da
    15·1 answer
  • Find the missing fraction 5/2 =1/3
    12·1 answer
  • Auberys dinner cost $85 she tips the waitstaff 30% for excellent service. HOW much does aubery tip the waitstaff​
    10·2 answers
  • NEED ANSWER!!!! WILL MAKE BEST ANSWER BRAINLIEST!!!
    8·1 answer
  • HELP PLEASE HELP ME i will give brainlist
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!