The St. Petersburg paradox goes as follows. A fair coin is tossed repeatedly until it comes up heads. If the first heads appears on the nth toss, you win $2 n . First, show that the expected monetary value of this game is infinite (the paradox is that no one would actually pay a huge amount to play this game). Second, consider a possible resolution of the paradox: suppose your utility for money is given by a log 2 x b where x is the number of dollars you have. Suppose you start with 0 dollars, what is the expected utility of this game

Answer: 41, think of PEMDAS while reviewing. Good luck!

Step-by-step explanation:

80 + 6(-5) + (-9)

80 + (-30) + (-9)

80 + (-39)

= 41

Answer:

44

Step-by-step explanation:

she set aside $44 for vacation

pls brainliest btw

Answer:

Step-by-step explanation:

f(g(x) ) =  5(g(x)) +8

=5(3)+8

=15+8

=23

g( f(x) ) = 3(f(x))

=3(5x+8)

=15x +24

:)

Answer:

(a) 5.00%

(b) 7.00%

(c) 12.35%

Step-by-step explanation:

(a) Find the difference, in £, between the value after the first year and the original value. Divide that by the original value and multiply by 100:

[tex]262.50-250=12.50\\\\\frac{12.5}{250}*100= \frac{125}{25}=5.00\%[/tex]

(b) Find the difference, in £, between the value after the second year and the value after the first year. Divide that by the value after the first year and multiply by 100:

[tex]280.88-262.50=18.38\\\\\frac{18.38}{262.50}*100= 7.0019\%=7.00\%[/tex]

(c) Find the difference, in £, between the value after the second year and the original value. Divide that by the original and multiply by 100:

[tex]280.88-250=30.88\\\\\frac{30.88}{250}*100= 12.352\%=12.35\%[/tex]

Answer:

X= 0 and -4

Step-by-step explanation:

Answer:

What do the x-intercepts and maximum value of the graph represent? The x-intercepts represent the points at the ground, so with that you have the width of the tunnel at ground level is 120 ft - 0 ft = 120

Step-by-step explanation:

Answer:

1220cm²

Step-by-step explanation:

Given :

Lenght, l = 17 cm

Width, w = 14 cm

Height, h = 12 cm

Surface area = 2(lw + lh + wh)

Surface area = 2[(17*14) + (17*12) * (14*12)]

Surface area = 2(238 + 204 + 168)

Surface area = 2(610)

Surface area = 1220cm²

Answer:

$900

Step-by-step explanation:

He makes $288 the first week and $612 the second week the total amount of money he makes is $900

Answer:

96*3= $288 from last week

204*3= $612 from this week

The total is $900 from both weeks

Step-by-step explanation:

Hope this is what you were asking!

Answer:

16

Step-by-step explanation:

3 x 5 - 3 x 2 + 7 =

15 - 6 + 7 =

9 + 7 =

16

Hope that helps!

2 solutions

Step-by-step explanation: Discriminant D = √(-8²-4·1·(-20) =√(144)

Because D> 0, there are 2 roots

Answer:

6.2 by the power of 0 pulse 3

Step-by-step explanation:

Answer:

understandable

Step-by-step explanation:

Answer: 5 x 2 1/2 x 1 1/2

Step-by-step explanation: To figure it out you have to use the fromula for volume, V= W x L x H.

Hope that helps :)

Answer:

m=2/3

Step-by-step explanation:

Answer:

11.1

Step-by-step explanation:

320/ 12 = 26 2/3

296 / (26 2/3) = 11.1

Answer:

Yes, there is significant evidence to support the claim that sample standard deviation is higher than that claimed by the manufacturer

Step-by-step explanation:

Sample standard deviation, s = 3.2

Population standard deviation, σ = 2

Defining the Null and alternative hypothesis :

H0 : σ = 2

H1 : σ > 2

The test statistic :

Use the Relation :.

[(n - 1)*s²] ÷ σ²

[(10 - 1) * 3.2²] ÷ 2²

(9 * 10.24) ÷ 4

92.16 ÷ 4

= 23.04

We obtain the Pvalue for the distribution :

Using the Pvalue from Chisquare distribution calculator :

Pvalue(Chisquare score, df)

df = n - 1 = 10 - 1 = 9

Pvalue(23.04, 9) = 0.006107

Decision :

If Pvalue is < α ; Reject H0 ; α = 0.05

0.006107 < 0.05 ; We reject H0

Answer:

3125 bacteria

Step-by-step explanation:

Let r(0) be the initial amount of bacteria. Every hour, r(n) decreases by half. So, after one our new value for r(n) = (1/2)r(0). After two hours, r(n') =  (1/2)r(n) =  (1/2)(1/2)r(0) = (1/2)²r(0).

After n hours, r(n) = (1/2)ⁿr(0)

So when n = 4 hours and r(0) = 50,000, then

r(4) = (1/2)⁴r(0)

r(4) = (1/2)⁴ × 50,000

r(4) = (1/16) × 50,000

r(4) = 3125

So, after 4 hours, we have 3125 bacteria present.

Responder:

Los cuadros 89 y 91 presentan proporcionalidad directa

El cuadro 90 muestra una correlación directa.

Explicación paso a paso:

De la imagen adjunta:

Cuadro 89:

Para mostrar proporcionalidad directa:

y α x

y = kx; k = constante de proporcionalidad

Comprobando las tablas:

Cuadro 89:

A = 1,5; B = 3

B = kA; 3 = 1.5k

k = B / A

k = 3 / 1,5 = 2

Usando k = 2;

demuestre que B = 4 cuando A = 2; para establecer proporcionalidad directa.

B = 2 * 2 = 4

Por tanto, el cuadro 89 exhibe proporcionalidad directa

Comprobando las tablas:

Cuadro 90:

C = 2; D = 8

D = kC; 8 = 2k

k = 8/2 = 4

Usando k = 4;

demuestre que D = 9 cuando C = 3; para establecer proporcionalidad directa.

B

D = 4 * 3 = 12

De la tabla, D = 9;

Por tanto, el cuadro 90 presenta una correlación directa pero no una proporcionalidad directa.

Comprobando las tablas:

Cuadro 91:

E = 1; F = 1/2

F = kE; 1/2 = k

k = 1/2

Usando k = 1/2;

demuestre que F = 3/2 cuando E = 3; para establecer proporcionalidad directa.

F = 1/2 * 3 = 3/2

Por tanto, el cuadro 91 presenta proporcionalidad directa.

Answer:

d

Step-by-step explanation:

because if u look at 4 on the right there is no dot there or below it

Answer:

D

Step-by-step explanation:

None of these

Answer:

C

Step-by-step explanation:

Hello There!

so

y = -5x^2 + 8x +4

where y = height of ball and x = seconds after ball was thrown

The plus 4 is the y intercept and because y equals height of ball the 4 would represent the height that the ball was thrown at

~TheMathWiz

Answer:

It is C

Step-by-step explanation:

Answer:

I think the answer is {10,20,30} but please check it

Answer:

I only know the first one for right now and the answer is 17

Step-by-step explanation:

You got to find the value of x in the figure

To do that, you have to apply Pythagorea theorm: hyp^2=a^2+b^2. where a and b are legs of the triangle. Hyp=hypotenuse. So in conclusion you have this: x^2=8^2+15^2

x^2=64+225

x^2=289

Then it's x= 289 like this

[tex] \sqrt{289} [/tex]

Which gives you the answer 17

Let me know if this helps

Answer:

day 1- 1 head

day 2- 1x2= 2 heads

day 3- 2x2= 4 heads

day 4- 4x2= 8 heads

day 5- 8x2= 16 heads

Answer:

Jazzy did 15 deposits of $25

Step-by-step explanation:

We know that Jazzy has deposited $375 in 15 deposits of m.

Then we must have that 15 times m is equal to $375, this can be written as:

15*m = $375

Now we can solve this for m, if we divide both sides by 15 we get:

(15*m)/15 = $375/15

m*(15/15) = $375/15

m = $375/15 = $25

Tjos ,eams tjat Jazzy did 15 deposits of $25.

Answer:

The answer is 18,480

The formula for volume of a hemisphere is: V = 2/3 * π * r³

Volume = 2/3 x 3.14 x 150^3

Volume = 7,065,000 cubic feet.

Multiply the cost per cubic foot by the volume:

7,065,000 x 0.05 = 353,250

The total cost was $353,250

Answer:

LOOK BELOW!

Step-by-step explanation:

6#

6.  (-3, 0)

7. (-1, -2)

8. (-5, -3)

9.  (1, -1)

10.  (1, -2)

how did I get these answers? I used a app called math - way, you can take a photo of the problem youre tryna do an it solves it, yw! :)

[tex]\huge\underline\mathbb\purple{ANSWER\::}\\\\[/tex]

6. (-3,0)

7. (-1,-2)

8. (-5,-3)

9. (1,-1)

10. (1,-2)

[tex]\\\\\\[/tex]

HOPE IT HELPS

PLEASE MARK ME BRAINLIEST ☺️

Answer:

1. Y-intercept b=5

That means it has a 5.00 starting fee.

2. Using the formula (Y2-Y1)/(X2-X1) we will find the slope between the two points.

Point one (X1 and Y1) will be the Y-intercept.

X1,Y1 = (0, 5.00)

Point 2 (X2 and Y2) will be the point on the trend line.

X2, Y2 = (200, 6.00)

Plug in:

(6.00 - 5.00)/(200 - 0) = 00.5 or 1/200.

3. When printing 200 pages each page will cost $.005.

4. .005x+5

5. .005x+5

.005(300)+5=6.5

good luck♡♡!!

Step-by-step explanation:

The estimated cost of printing Sarah's 300-page book is $6.50.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The y-intercept for the trend line is the value of y when x is equal to zero, which is 5.

The real-world meaning of this point is the fixed cost or base cost of printing a book, which includes expenses like labor, equipment, and materials that are not dependent on the number of pages in the book.

We are given one point on the trend line, (200,6), and the y-intercept is (0,5). So, we can substitute these values in the formula:

slope = (6 - 5) / (200 - 0) = 0.005 or 1/200

The real-world meaning of the slope is the variable cost per page, which represents the additional cost of printing each page beyond the fixed cost.

In this case, the slope of 0.005 means that it costs $0.005 or half a cent to print each additional page.

Using the slope-intercept form, the equation for the trend line is:

y = mx + b

where m is the slope and b is the y-intercept. Substituting the values we obtained in steps 1 and 2, we get:

y = 0.005x + 5

To estimate the cost of printing Sarah's 300-page book, we substitute x = 300 in the equation:

y = 0.005(300) + 5 = 6.5

So, the estimated cost of printing Sarah's 300-page book is $6.50.

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ2

X°= 89°

X is parallel to the other side so it would be equivalent to the same thing as  the top number

Answer:

x=89 grades or 99 grades.