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2 years ago

What are the quotient and remainder of (x^5- 1) /(x-1)?

Mathematics

1 answer:

Alborosie2 years ago

5 0

Answer:

Step-by-step explanation:

x^4+x^3... remainder: 0

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3. A bag contains 4 white, 3 blue, and 6 red marbles. A marble is drawn from the bag, replaced,

gladu [14]

Answer:

Hope this helps! If I could have brainliest I'm trying to rank up.

Step-by-step explanation:

First find the probability of each color being drawn.

We need to find the total number of marbles first.

4 + 3 + 6 = 13

Everything will be over 13.

Probability of a white marble being drawn --> 4/13

Probability of a blue marble being drawn --> 3/13

Probability of a red marble being drawn --> 6/13

Now to find the probabilities of more than one being drawn, we can multiply.

Part A:

6/13*6/13=36/169

Part B:

3/13*3/13=9/169

Part C:

6/13*6/13=18/169

Part D:

7/13*7/13=49/169

8 0

2 years ago

The difference between three times a number and 15 is equal to 6. Find the number

andreyandreev [35.5K]

15+6=21
21÷3=7
answer
3×7-15=6

5 0

2 years ago

G with the definition of covariance, prove cov[(ay − b),(cy − d)] = accov(x, y ), where x, y are random variables and a, b, c, d

____ [38]

By definition of covariance,

$\mathrm{Cov}(X,Y)=\mathbb E[(X-\mathbb E[X])(Y-\mathbb E[Y])]$

$\mathrm{Cov}(X,Y)=\mathbb E[XY-\mathbb E[X]Y-X\mathbb E[Y]+\mathbb E[X]\mathbb E[Y]]=\mathbb E[XY]-\mathbb E[X]\mathbb E[Y]$

We have

$\mathbb E[(aX-b)(cY-d)]=\mathbb E[acXY-adX-bcY+bd]$

$=ac\mathbb E[XY]-ad\mathbb E[X]-bc\mathbb E[Y]+bd$

$\mathbb E[aX-b]=a\mathbb E[X]-b$

$\mathbb E[cY-d]=c\mathbb E[Y]-d$

$\mathbb E[aX-b]\mathbb E[cY-d]=ac\mathbb E[X]\mathbb E[Y]-ad\mathbb E[X]-bc\mathbb E[Y]+bd$

Putting everything together, we find the covariance reduces to

$\mathrm{Cov}(aX-b,cY-d)=ac(\mathbb E[XY]-\mathbb E[X]\mathbb E[Y])=ac\mathrm{Cov}(X,Y)$

as desired.

5 0

2 years ago

Solve the following system of equations and show all work.<br> y = -x^2 + 4<br> y = 2x + 1

Alexxx [7]

Answer:yu

Step-by-step explanation:

3 0

2 years ago

Find the difference of (t-8)-(t-15)

Vsevolod [243]

I think u should try (t-23) because -8 minus - 15 is = to 23 so yeah add the t in front of it

5 0

2 years ago