The answer I’m soo confused

11 less than the product of a number y and -2 is z

Tju [1.3M]

Maybe -14 not for sure

8 0

3 years ago

Suppose we play the following game based on tosses of a fair coin. You pay me $10, and I agree to pay you $n 2 if heads comes up

Artyom0805 [142]

Answer:

In the long run, ou expect to lose $4 per game

Step-by-step explanation:

Suppose we play the following game based on tosses of a fair coin. You pay me $10, and I agree to pay you $n^2 if heads comes up first on the nth toss.

Assuming X be the toss on which the first head appears.

then the geometric distribution of X is:

X $\sim$ geom(p = 1/2)

the probability function P can be computed as:

$P (X = n) = p(1-p)^{n-1}$

where

n = 1,2,3 ...

If I agree to pay you $n^2 if heads comes up first on the nth toss.

this implies that , you need to be paid $\sum \limits ^{n}_{i=1} n^2 P(X=n)$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) = E(X^2)$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) =Var (X) + [E(X)]^2$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) = \dfrac{1-p}{p^2}+(\dfrac{1}{p})^2$ ∵ X $\sim$ geom(p = 1/2)

$\sum \limits ^{n}_{i=1} n^2 P(X=n) = \dfrac{1-p}{p^2}+\dfrac{1}{p^2}$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) = \dfrac{1-p+1}{p^2}$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) = \dfrac{2-p}{p^2}$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) = \dfrac{2-\dfrac{1}{2}}{(\dfrac{1}{2})^2}$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) =\dfrac{ \dfrac{4-1}{2} }{{\dfrac{1}{4}}}$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) =\dfrac{ \dfrac{3}{2} }{{\dfrac{1}{4}}}$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) =\dfrac{ 1.5}{{0.25}}$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) =6$

Given that during the game play, You pay me $10 , the calculated expected loss = $10 - $6

= $4

∴

In the long run, you expect to lose $4 per game

3 0

3 years ago

A motorboat travels 105 kilometers in 3 hours going upstream. It travels 165 kilometers going downstream in the same amount of t

Novay_Z [31]

Answer:

Rate in still water = 45 km/h

Rate of the current = 10 km/h.

Step-by-step explanation:

Let the rate of the current be x and rate in still water be y.

So the rate of the boat upstream is y - x and the rate downstream = x + y.

Rate upstream = distance / time

y - x = 105/3 = 35 ...... (1)

Rate downstream:

y + x = 165/3 = 55 .......(2)

Adding (1) + (2):

2y = 90

y = 45 km/h.

Using equation (1):

45 - x = 35

x = 45-35 = 10 km/h.

8 0

3 years ago

Equation to find three consecutive odd integers whose sum is 3

KiRa [710]

The equation computed shows that the numbers will be 9, 11 and 13.

<h3>How to illustrate the information?</h3>

Let the numbers be:

First number = x

Second number = x + 2,

Third number = x + 4.

Total of the numbers = 33

The equation will be:

= first + second + third number

x + x + 2 + x + 4 = 33

3x + 6 = 33

Collect like terms

3x = 33 - 6

3x = 27.

Divide both side by 3

3x/3 = 27/3

x = 9

First number = x = 9

Second number = x + 2 = 9 + 2 = 11

Third number = x + 4. = 9 + 4 = 13

The numbers will be 9, 11, and 13.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

Illustrate the equation to find three consecutive odd integers whose sum is 33.

8 0

2 years ago

Can you help with this please and also explain?

stira [4]

Answer:

avocado=4

Step-by-step explanation:

Hi there!

We are given the following equations:

snail + snail - cellphone=avocado

maple leaf * cellphone=10

0+maple leaf=5

snail = cellphone + 1

avocado=?

This may seem confusing at first, but let's try to find the value of one of the items to help us to solve for the others

For example, we have the equation 0 + maple leaf= 5

Which means if we subtract 0 from both sides, we should get the value of the maple leaf

Which means that the maple leaf= 5

Now we know that maple leaf * cellphone = 10

So that means 5*cellphone=10

Divide by 5 on both sides

cellphone= 2

We know that snail = cellphone + 1

As we learned from above, cellphone= 2

Which means that snail = 2+1=3

We know that snail + snail - cellphone = avocado

And as calculated from above, snail = 3 and cellphone = 2

Which means:

3 + 3 - 2= avocado

Add

6-2=avocado

Subtract

4=avocado

Hope this helps!

5 0

3 years ago