(1)Consider an experiment that has N outcomes e1,e2,…,eN,where it is known that outcome ej+1 is twice as likely as the outcome ej for j=1,2,,N-1.Let Ek=E1,E2,…,Ek.Show that PEk=2k-12N-1

914 1404 393

Answer:

  24% of 24 is not a whole number

Step-by-step explanation:

24% of Mrs. Cho's students is ...

  0.24 × 24 = 5.76 . . . students

This is not a whole number. The number of students must be a whole number. There cannot be part of a student in the play.

Recall the binomial theorem:

[tex]\displaystyle (a+b)^n = \sum_{k=0}^n \binom nk a^{n-k} b^k[/tex]

a. Let a = b = 1 and n = 8. Then the sum above gives the sum shown here,

[tex]\displaystyle \sum_{k=0}^8 \binom8k 1^{n-k} 1^k = \sum_{k=0}^8 \binom8k[/tex]

so it reduces to (1 + 1)⁸ = 2⁸ = 256.

b. Let a = 1 and b = -1 and k = 8. Then by the same argument, the sum reduces to (1 - 1)⁸ = 0.

c. Notice that

[tex]\displaystyle \sum_{j=0}^n \binom n{n-j} = \binom nn + \binom n{n-1} + \binom n{n-2} + \cdots \binom n2 + \binom n1 + \binom n0[/tex]

but this is nearly identical to the sum in part a, with a = b = 1 and arbitrary n, but the order of terms is reversed. Then it reduces to (1 + 1)ⁿ = 2ⁿ.

d. Let a = 1 and b = 2. Then the sum is (1 + 2)ⁿ = 3ⁿ.

Answer: C. an increase in prices for domestically produced watermelons.

Answer:

64??

Step-by-step explanation:

If not I'm sorry I tried :)

Answer:

y = 1.15x + 22

The size of angle x from the figure is 16 degrees

The sum of the interior angle of a triangle is 180 degrees, hence to get the value of X, we will take the sum of all the given angles and equate them to 180 degrees.

127 + 37 + X = 180

164 + x = 180

Subtract 164 from  both sides

164 + x - 164 = 180 - 164

x =16 degrees

Hence the size of angle x from the figure is 16 degrees

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Answer:

As we know that the sum of interior angles of triangle is 180⁰.

Accounting to the question :

[tex]\implies[/tex] Sum of angles = 180⁰

[tex]\implies[/tex] 127⁰ + 37⁰ + X = 180⁰

[tex]\implies[/tex] 164⁰ + X = 180⁰

[tex]\implies[/tex] X = 180⁰ - 164⁰

[tex]\implies[/tex] X = 16⁰

Hence, the size of angle is 16⁰.

[tex]\rule{300}{1.5}[/tex]

Los estudiantes recaudarán un total de $ 10000 pesos en un mes de 31 días y un mes de 30 días.

En este caso, debemos construir una ecuación lineal en forma implícita, es decir, una ecuación de la forma:

[tex]a\cdot x + b\cdot y = c[/tex] (1)

Donde:

Si sabemos que la solución consiste únicamente en números naturales y si [tex]a = \frac{1}{3}[/tex], [tex]b = \frac{2}{3}[/tex] y [tex]c = 1[/tex], entonces tenemos la única solución disponible:

[tex]\frac{1}{3}\cdot x + \frac{2}{3}\cdot y = 1[/tex]

[tex]x + 2\cdot y = 3[/tex]

[tex]2\cdot y = 3 - x[/tex]

[tex]y = \frac{3}{2}-\frac{1}{2}\cdot x[/tex]

[tex](x, y) = (1, 1)[/tex]

Los estudiantes recaudarán un total de $ 10000 pesos en un mes de 31 días y un mes de 30 días.

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Answer:

468% is the percent of 4.68

Step-by-step explanation:

4.68 x 100 = 468

The length of the zipline is found using Pythagoras's theorem, which gives

the length of the hypotenuse side of a right triangle.

Reasons:

Height at which the zipline will be tied to one of the trees = 42 feet

Height at which the zipline will be tied to the other tree = 3 feet

The distance between the trees = 60 feet

Required:

The length of the zipline

Solution:

The length of the zipline is found as follows;

Taking one of the trees to be at the origin, the coordinates of one of the tying point = (0, 42)

The coordinates of the other tying point = (60, 3)

The in the imagined right triangle formed by the zipline and the distance

between the trees, the length of the zipline is given by Pythagoras theorem

as follows;

Length of zipline = [tex]\sqrt{(60 - 0)^2 + (3 - 42)^2} = 3 \cdot \sqrt{569}[/tex] ≈ 71.56

Length of the zipline ≈ 71.56 ft.

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Answer:

5.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) Number of families having income between $ 20000 - $ 40000 = 100

b) Number of families having income less than $40000 = 100 + 40 = 140

Answer:

vCan be done using arithmetic will be too long for braily check you89 55vw]vw

StCan be done using arithmetic will be too long for braily check you89 55ep-by-step explanation:

Can be done using arithmetic will be too long for braily check you89 55Can be done using arithmetic will be too long for braily check you89 Can be done using arithmetic will be too long for braily check you89 5555Can be done using arithmetic will be too long for braily check you89 55

The house is right now 6years old.

" Linear equation is defined as the algebraic expression of one or more variables with highest power equals to one."

According to the question,

'x' represents the present age of house

'y' represents the years left on the mortgage

Given,

y = 24years

As per the condition given linear equation we get,

 x + y = 5x

⇒x + 24 = 5x

⇒5x - x = 24

⇒4x = 24

⇒x = 24 / 4

⇒x= 6years old

Hence, The house is right now 6years old.

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#SPJ2

Answer:

PLEASE HELP MEEEEEEE TOOOOOOO

Answer:

12 is the answer.....

12 is the answer.....

Step-by-step explanation:

12 is the answer.....

12 is the answer.....

12 is the answer.....12 is the answer.....12 is the answer.....12 is the answer.....

Answer:

Answer: 4

Step-by-step explanation:

Answer: GCF of 8 and 12 is 4.

Answer:

1st one

Step-by-step explanation:

:) pls mark brainliest

Height: 4 units

Width 2√/2

Explanation:

Start by sketching y = 6 - ². Then draw a rectangle beneath it. You will notice that the width is 2x and the height is 6 ². Area is given by length - times width, so the area function will be A=2x (6 - x²) = 12x - 2x³.

Now you differentiate to find the maximum.

A' = 12 - 6x²

Find critical numbers by setting A' to 0.

x = ± √/2

The derivative is negative at x = 2 and positive at x = 1, which justifies that the rectangle with width of √2 has maximal area.

The height will be y (√2) = 6 – (√2)²) = 4

Answer:

Step-by-step explanation:

1) 3x + y = 3

          y = -3x + 3

When x = 0  ;   y = 0  +3 = 3                          (0 , 3)

When x = 1   ;    y = -3*1 + 3 = -3 + 3 = 0        (1 , 0)

When  x = 2   ;   y = -3*2 + 3 = -6 +3 = -3      (2 , -3)

Plot the points (0 ,3 ) ; (1 ,0) and (2 , -3) in the graph and join them

2) y = x + 3

When x = 0  ; y = 0 +3 = 3           (0 , 3)

When x = 1   ; y = 1 + 3 = 4          (1 , 4)

When x = -3  ; y = - 3 + 3 = 0      (-3 , 0)

Plot the points (0,3) , (1, 4) and (-3 , 0) in the graph and join them

3) Plug in (4 , y) int he equation

y = x + 5

y = 4 + 5

y = 9

y = 9

5) 2x + y = 3

At x-intercept y = 0

2x + 0 = 3

2x = 3

x = 3/2

Answer its 5982

Step-by-step explana

Answer: 64

Step-by-step explanation:

Answer:

Linear

Step-by-step explanation:

This is linear because using the data you have provided we can work out that the equation is y= -5x+27

y= mx+ c (c is the gradient)

This equation shows that the line is straight (also shown in the picture) and therefore must make it a linear graph.

For the graph to be non linear, the graph would be curved but this would mean the equation would have to be a quadratic - which it isn't.

Hope this helps!

Answer:

There are 719,115.8179kg of fuel stored in the external tank

Step-by-step explanation:

102619.377 + 616496.4409 = 719,115.8179

Answer:

1033.765625

Step-by-step explanation:

I think it’s bottom left

Answer:

10^(4)*4^(5) or 10 to the 4th power by 4 to the 5th power

Step-by-step explanation:

When simplified, both equal to 10240000.

Answer:

here's the answer mark me brainliest!!

Answer:

Step-by-step explanation:

2p² + 8pq - pq - 4q² = 2p(p + 4q) - q( p + 4q)

                                 = (p + 4q)(2p - q)

Answer:

14+29=43

Step-by-step explanation:just add it

Answer:

its  is incorrect.

Step-by-step explanation:

Each time you roll the dice, you have a 1 in 6 shot in getting any number. Rolling a 6 does not lower the odds of rolling another 6. Therefore the odds of both of these are (1/6)^4.

This does however change if you are allowed to roll these numbers in any order. In that case, the first batch would be easier.

mark brainliest !!

Answer:

No

Step-by-step explanation:

Every time you roll the dice, there is the same probability of rolling any number (1/6)

Simply compute (1/6)^4, which can also be written as (1/6)*(1/6)*(1/6)*(1/6)

this equals 1/1296.

The probability of rolling any given number is the same, so the probability of rolling any sequence of four numbers is the same.

Answer:

Step-by-step explanation:

how do I rewrite this using the distinctive property

6(-4)

The antecedent is They had a guard dog and the consequent is No one would trust pass on their property.

The proposition given contains a conditional, whose form is [tex]p \implies q[/tex], representing a causal relationship, where:

(Antecedent) [tex]p:[/tex] They had a guard dog.

(Consequent) [tex]q:[/tex] No one would trust pass on their property.

Hence, the antecedent is They had a guard dog and the consequent is No one would trust pass on their property.

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Answer:

Ya no way in hell am I doing that srry :l

Step-by-step explanation:

:l

Answer:

is 2/8

Step-by-step explanation:

Answer:

12.5

Step-by-step explanation:

Answer:

45 Yellow marbles

Step-by-step explanation:

6 x 9 = 54

5 x 9 = 45

I hope it helped