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]
3 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]3 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
SEE IMAGE PLEASE !!!
inysia [295]
Center of rhombus bisects 90°.

Sum of angles in triangle = 180°
x + x + 14 + 90 = 180
2x + 104 = 180
2 (x + 52) = 180
x = (180 ÷ 2) - 52
x = 90 - 52
x = 38°


4 0
2 years ago
Read 2 more answers
Plz help i need help asap
tiny-mole [99]

Answer:

20 outcomes

Step-by-step explanation:

the outcomes of the first times the outcomes of the second

= 4×5

= 20

5 0
3 years ago
Write the fraction 7/8 as an equivalent fraction with the given denominator 40
Mekhanik [1.2K]

Answer:

35/40

Step-by-step explanation:

7/8, with the given denominator 40

So how do we get 8, to turn into 40?

Simple multiplication.

8x5 = 40, and whatever we multiply times the denominator, we multiply for the numerator.

So

7x5 = 35

The answer should be 35/40

8 0
3 years ago
10 feet wide by 30 feet long by 1/3 foot deep.what is the volume?
Ket [755]
----------------------------------------------
Formula
----------------------------------------------
Volume = Length x Width x Height

----------------------------------------------
Apply Formula
----------------------------------------------
Volume = 10 x 30 x 1/3 = 100 ft³

----------------------------------------------
Answer: 100 ft³
----------------------------------------------
4 0
3 years ago
Read 2 more answers
The function t relates the age of a plant fossil in years to the percentage c of carbon remaining in the fossil relative to when
STALIN [3.7K]

Answer:   For plato family

A fossil with 47% of its carbon remaining is approximately how old

2998

A fossil that is 7000 years old will have approximately

17%

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • 4 teammates share 5 granola bars equally. how much does each one get?
    9·2 answers
  • If CDEF ≅ MNPQ, then EF≅ _____
    5·1 answer
  • 37.Where is the incenter of any given triangle ?
    15·1 answer
  • I need help ASAP please
    9·2 answers
  • The formula for average speed when traveling a distance of ddd over a time ttt is \dfrac dt
    7·2 answers
  • I NEED HELP ASAP! Mabye.
    11·1 answer
  • Find the slope of y-2=4(x-10)
    7·1 answer
  • Determine the value of x.
    6·2 answers
  • A, B, and C are collinear, and B is in between A and C. The ratio of AB to AC is 1:3. If A is at (2, -6) and B is at (3, -1), wh
    15·1 answer
  • A coin is tossed and a spinner with three equal-sized sections labeled 3, 6, and 9 is spun. What is the probability of getting h
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!