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
bulgar [2K]
3 years ago
13

Suppose that Y takes on the values {0, 1, 2, 3}, each with probability 1/4. Take a random sample of 5 numbers from this distribu

tion. In how many possible samples can the sum of the five numbers (Y1 + Y2 + Y3 + Y4 + Y5) equal to 1? [Give the number of samples, not the proportion of possible samples]
Mathematics
1 answer:
arsen [322]3 years ago
8 0

Answer:

The total number of samples that give this outcome is 5.

Step-by-step explanation:

Since Y takes values in {0,1,2,3}, For us to have that Y_1+Y_2+Y_3+Y_4+Y_5=1 implies that all of them are zero but one. The one that is non-zero necessarily is equal to 1. To calculate the number of samples that give this outcome is equivalent to counting the total number of ways in which we can pick the i-index such that Y_i=1. Note that in this case we can either choose Y1 to be 1, Y2 to be 1 and so on. So, the total number of samples that give this outcome is 5.

You might be interested in
(answer fast please, thanks!)
Pachacha [2.7K]

Answer:

$19 for one package of oatmeal cookie dough and $14 for one package of chocolate chip cookie dough

Step-by-step explanation:

We need to set up two equations: one that shows how much money Mike made and one that shows how much money Shawna made.  

Let's make a = price for one chocolate chip cookie dough and b = price for one oatmeal cookie dough.

First equation for Mike: 12a + 3b = 225

Second equation for Shawna: 6a + 11b = 293

Next we isolate b from Mike's equation: b = 75 - 4a

Then we plug this equation into Shawna's equation and we get:

6a + 11(75 - 4a) = 293

Solving for a would get us 14, or $14 for one chocolate chip cookie dough.

If we plug 14 = a into Mike's original equation and solve for b, we get b = 19, or $19 for one oatmeal cookie dough.

Hope this helped!

5 0
3 years ago
Add 3 feet 6 inches +8 feet 2 inches +4 inches +2feet 5 inches
enyata [817]
You will just get 18 feet 3inches or 18.3 feet
8 0
3 years ago
Read 2 more answers
A closed box has a square base with side length feet and height feet given that the volume of the box is 34 ft.³ express the sur
Deffense [45]

Answer:

\dfrac{2s^3+136}{s}

Step-by-step explanation:

Let the side length of the square base =s feet

Let the height of the box = h

Given that the volume of the box = 34$ ft^3

Volume of the box =s^2h

Then:

s^2h=34$ ft^3\\$Divide both sides by s^2\\h=\dfrac{34}{s^2}

Surface Area of a Rectangular Prism =2(lb+bh+lh)

Since we have a square base, l=b=s feet

Therefore:

Surface Area of our closed box= 2(s^2+sh+sh)

S$urface Area= 2s^2+4sh\\Recall: h=\dfrac{34}{s^2}\\$Surface Area= 2s^2+4s\left(\dfrac{34}{s^2}\right)\\=2s^2+\dfrac{136}{s}\\$Surface Area in terms of length only=\dfrac{2s^3+136}{s}

7 0
3 years ago
A swim meet has 13 contestants signed up for the 100-meter butterfly event. The first heat has 6 swimmers. How many different wa
tino4ka555 [31]

Answer:

6 swimmers in the first heat can be arranged in 1716 different ways.

Step-by-step explanation:

A swim meet has 13 contestants signed up. To calculate the arrangement of first 6 swimmers in first heat we will use combinations because order doesn't matter.

So to select 6 swimmers out of 13 contestants number of different ways

= ^{13}C_{6}

= \frac{13!}{(6!)(13-6)!}

= \frac{13\times 12\times 11\times 10\times 9\times 8\times 7!}{6!\times 7!}

= \frac{13\times 12\times 11\times 10\times 9\times 8}{6\times 5\times 4\times 3\times 2\times 1}

= \frac{1235520}{720}

= 1716

Therefore, 6 swimmers in the first heat can be arranged in 1716 different ways.

5 0
3 years ago
Endpoint: (9,-10), midpoint: (4,8)
Alika [10]

Answer:

( -1 , 26)

Step-by-step explanation:

So since you need to find the other endpoint, you would follow these steps:

1.) 4 = \frac{9 + x}{2\\}

2.) 8 = 9 + x  ( you just multiplied the 2 to the 4 to get 8)

3.) -1 = x  (just solve it like a regular equation, so just subtract 9 on both sides                  to get rid of it and that leaves you with -1 = x)

You took the x values of both points and put them in the equation.

And its the same for y

1.) 8 = \frac{-10 + y}{2}

2.) 16 = -10 + y

3.) 26 = y   (you added the 10 on both sides because the 10 was negative and that took the 10 out and so it left you with 26 = y)

5 0
3 years ago
Other questions:
  • X: -3x + 14 = 4x -7
    12·2 answers
  • Find the value of tan θ for the angle shown. (2 points)
    6·2 answers
  • Do you guys know this one
    15·1 answer
  • 5th Grade Math Help!​
    12·2 answers
  • Can someone answer this for me pls!!!! 40 points!!
    10·1 answer
  • Which of the following functions is graphed below?
    15·1 answer
  • 25<br> WY<br> X<br> 7<br> Х<br> 24<br> N<br> Find the exact value of x.<br> X =
    14·1 answer
  • PLEASE HELP ME!!!!!!!
    14·1 answer
  • PLEASE HELP I ONLY HAVE 12 MINUTES!! The pendulum of the grandfather clock shown below swings at a maximum angle of 25 degrees.
    9·2 answers
  • Solve the following equation:<br><br> 7/3=y−2/3
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!