All categories

2 years ago

What would be the equation?

Mathematics

1 answer:

slava [35]2 years ago

4 0

Answer:

2x = 3

Step-by-step explanation:

On the left, we have x+x = 2x.

On the right, we have 1+1+1 = 3.

The balance means the left is equal to the right:

2x = 3

You might be interested in

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

How to get exact value of cos pi/2?

MrRa [10]

Alternative form =6.28319

4 0

3 years ago

Draw an equilateral triangle of perimeter 10 centimetres.

3241004551 [841]

Answer:

See attachment for triangle

Step-by-step explanation:

Given

Shape: Equilateral triangle

$Perimeter = 10cm$

Required

Draw the triangle

First, we determine the side lengths.

The perimeter of an equilateral triangle is:

$Perimeter = 3 * Length$

So, we have:

$10= 3 * Length$

Solve for Length

$Length = \frac{10}{3}$

$Length = 3.33$

See attachment for triangle

4 0

2 years ago

9. Solve the system of equations using substitution. y = 2x - 10 y = 4x - 8

krok68 [10]

Since they’re both in standard form and they both say that y is equal to something, you just have to set them up with one another
2x-10=4x-8
Subtract 2x
-10=2x-8
Add 8
-2=2x
Divide by 2
-1=x
x=-1
Check it by inserting it
2(-1)-10=4(-1)-8
-2-10=-4-8
-12=-12
So x=-1 is the answer

3 0

2 years ago

Read 2 more answers

HELP ONE QUESTION I WILL CROWN BRAINLIEST!!

Daniel [21]

Answer:

In the picture I send above shows the step by step how to get the answers. Cheers!

8 0

2 years ago