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
(2 x 10^2)(4 x 10^3)
yKpoI14uk [10]

Answer:

800000x^2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Ricole wrote a number that is the same distance from 0 to 15 on a number line but in a opposite direction . What number did rico
pshichka [43]

Answer:

1 2 3 4 5 6 7 8 9 10 11 12 12 14 15!

5 0
3 years ago
All 930 students enrolled at a school either walk to school or ride the bus. Of these students, there are exactly 5 times as man
ira [324]

Answer:

Step-by-step explanation:

7 0
3 years ago
PLEASE HELP -7y + 11 = 75 + y
Masja [62]

Answer:

y = -8

Step-by-step explanation:

-7y + 11 = 75 + y

Bring the <em>"</em><em>y</em><em>"</em><em> </em>variable on one side, and rest on the other.

Rearranging, we get,

-7y - y = 75 - 11

-8y = 64

-y = 8

y = -8

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>:</em><em>)</em>

3 0
2 years ago
Formula for finding perimeter/circumference of major sector<br> plz no links<br> in a hurry
Rainbow [258]

Answer:

C = 2πr or C = πd

Step-by-step explanation:

Hope this helps :)

3 0
2 years ago
Other questions:
  • {6, 7, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 12, 12, 13,
    9·1 answer
  • How many 3-digit numbers can you write using only digits 1 and 7? (Of course, digits can repeat.) How many 3-digit numbers can y
    13·2 answers
  • 24 students will be divided into 4 equal size terms. Each stundent will count off, beginning with the number 1 as the first team
    14·1 answer
  • The enrollment at East Valley High School over a six-year period is displayed in the scatterplot.
    8·2 answers
  • Daisy is making tablecloths for all the picnic tables. She has 15 yards of fabric to make 6 tablecloths. How much fabric will sh
    14·2 answers
  • Please refer to the pictures below
    12·1 answer
  • 5x+(6x divided by -9)<br><br> Who ever answer’s this i will mark brainliest
    5·1 answer
  • I need help, ASAP, thanks!
    15·1 answer
  • What is equivalent to 0 = 2x2 - 16x – 18 when completing the<br> square?
    14·1 answer
  • Y=2/3x-3 find x, if y is -11
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!