flips a fair coin until a tail first appears, and if the number of tosses equals m, then Tom gets a payoff for 2 m pounds. Calculate the expected value of his payoff.

Answers

Answer 1

Answer: the expected value of Tom's payoff is

Step-by-step explanation:

Given the data in the question,

E[x] = mp                                        

where p = 1/2

Now Tom gets payoff pounds until a tail first appears = 2m pounds

so

E[x] = m × 1/2 × 2m

E[x] =

Therefore the expected value of Tom's payoff is


Related Questions

can u pls help me with this question ​

Answers

Answer:

c

Step-by-step explanation:

divide 1/5,280 and then multiply that by 6,600

Answer:

the answer is c

Step-by-step explanation:

multiply 6,600 by 1 and that will give you 6,600 again

after that you divide 6,600 and 5,280 that will get you 1.25

if you think I'm wrong just do it on the calculator it will give you 1.25

have a nice day!!


Write 89 tenths in standard form *

Answers

89 tenths......................

Answer:

.89

Step-by-step explanation:

Standard for is just the number version. Word for is it spelled out, eighty-nine tenths.

You are purchasing a car for $12,465.00 plus 5.65% sales tax. You make a $1,300.00 down payment and have a fair credit score. If you improved your credit score to good and paid $1,500 on your purchase, how much interest could you save in the first month?

Secured Unsecured
Credit APR (%) APR (%)
Excellent 4.75. 5.50
Good 5.00 5.90
Average 5.85 6.75
Fair 6.40 7.25
Poor 7.50 8.40



$13.25


$14.68


$21.74


$25.69

Answers

Answer:

21.74

Step-by-step explanation:

Draw a quadrilateral that is similar (but not congruent) to the one given below. Measure and label all sides and angles of quadrilaterals and ′′′′. Write a similarity statement.

Answers

Answer:

draw the same shape but multiply all the sizes to be bigger or smaller

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PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

4.5 would be the answer

Step-by-step explanation:

A 15-foot statue casts a 20-foot shadow. How tall is a person who casts a 4-foot-long shadow? Question 1 options: A) 3 feet B) 3.75 feet C) 0.33 feet D) 5 feet

Answers

The correct answer is A) 3 feet.

A 15-foot statue casts the shadow of 20 food, then a 4-foot-long shadow will be cast by a 3-foot-tall person.

What are arithmetical operations?

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

From the data in the question,

15-foot statue = 20-foot shadow

x-foot man's height = 4-foot long shadow

20x = 60

x = 60/20

x = 3 foot.

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PLEASE ANSWER ASSAP!!!!!!!!!!!!!!!! WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!!!!

Answers

Answer:B

Step-by-step explanation:

Vertical angles are equal, so 4x - 20 = 60

what number is 0.001 more than 437.999

Answers

Answer:

437.999 + 0.001 = 438

Step-by-step explanation:

So one day, this young girl, who was only eleven years old at the
time, started to make speeches and write blogs saying that girls should be
allowed to go to school as well.
Question: How do you think the people with political power, who were
against girls in school, might have reacted when she started doing this?​

Answers

They would be outraged and make a mockery of the idea, since they belived that girls should remain at home doing chores and learn to cook instead of getting a education.

Which of these expressions is equivalent to z + z+z + z?

A.4z
B.4+z4
C.4+z
D.4z4

Answers

Answer:

A. 4z

Step-by-step explanation:

The expressions is equivalent to z + z+z + z would be 4z. so option A is correct.

What are equivalent expressions?

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

Given expression

z + z+z + z

All the terms are like terms, by adding all of them

z + z+z + z

= 4z

Thus, The expressions is equivalent to z + z+z + z would be 4z. so option A is correct.

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eden purchased a home for $156,200. The home appreciates about 4.5% each year. what is the value of the home after 17 years?

Answers

Answer:

590,088

Step-by-step explanation:

So you divide 156,200 by 4.5 then once you have that times it bye the 17 years I think

Estimate a 10% tip on a restaurant bill of $75.28.

Answers

8 dollars

Step-by-step explanation:

without rounding it is $7.52 but you would round that to 8

Julio has 4 red Hot-tires race cars, 7 blue Hot-tires race cars, and 5 green Hot-tires race cars. What is the ratio of blue race cars to red race cars?

A.4:7
B.7:4
C.7:5
D.4:5

Answers

The answer is B, there are seven blue and four red

Find the radius of a circle given that a central angle of measure pi/4 intercepts an arc of length 1.5in

Answers

Given:

Central angle = [tex]\dfrac{\pi}{4}[/tex]

Arc length = 1.5 in

To find:

The radius of the circle.

Solution:

We know that the formula for arc length is

[tex]s=r\theta[/tex]

Where r is radius and [tex]\theta [/tex] is the central angle in radian.

Substitute the given values in the above formula.

[tex]1.5=r\times \dfrac{\pi}{4}[/tex]

[tex]6=\pi r[/tex]

[tex]\dfrac{6}{\pi}=r[/tex]

[tex]\dfrac{6}{3.14}=r[/tex]

On further simplifiation, we get

[tex]r=1.910828[/tex]

[tex]r\approx 1.91[/tex]

Therefore, the radius of the circle is 1.91 in.

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Answers

4 sorry of its not right

IT 40 POINTS SO PLZ HELP ITS 5 QUESTIONS PL ANSWER THEM ALL

How can a number line help in ordering rational numbers:




How are number lines and the coordinate plane related:



Does the order of the numbers in an ordered pair matter when naming a point? Can that point be represented by more than one ordered pair?



A point is reflected across the x-axis. The new point is located at (4.75, -2.25). Write the ordered pair that represents the original point. Explain.



A point is reflected across the x-axis. The new point is (5, -3.5). What is the distance between the two points? Explain.

Answers

Answer:

1: It places them in an order sequentially relative to each other.

2: Number lines show the location of a number relative to each other on a one dimensional plane, and a coordinate plane does the same on two axis, or a two dimensional plane.

3: The order of the numbers do matter because the first one is the x coordinate and the second is the y. We nee a point of reference so we aren't able to make it so a single point can be represented by multiple ordered pairs, and vice versa so we can accurately share the information without additional interpretation.

4: (4.75, 2.25) Because to move across the x axis is to move in a direction perpendicular to it, meaning only the y coordinate will change. To be mirrored, it has to be copied and the absolute value of y (from both the x and y axis) must be maintained, just moved into the quadrant above or below it.

5: It is 7 units because the original coordinate would be 3.5 (as explained previously), and to move all the way to -3.5 you would need to cover the first 3.5 units to get to y=0, and then another 3.5 units down to get to y=-3.5. This is a total of 7 units moved.

Step-by-step explanation:

PLEASE HELP ASAP!!!!

Answers

A and B are polynomial. E,D,C are not because polynomial can’t have a negative exponents, or a division by a variable.

Find the missing values of the variables. The diagram is not to scale. Show steps

Answers

Step-by-step explanation:

i assume this is the question you asked me to look at.

Well, angle 116° and y are supplementary angles

therefore,116°+y=180°

y=180°-116°=64°

Now to find x

x+y+125+72=360°

x+64+125+72=360

x+261=360

x=360-261=99°

The measure of x° is  99° and the measure of y° is 64°.

What is quadrilateral?

A quadrilateral is a polygon with four sides four angles and four vertices. Whenever we name a quadrilateral, we need to keep in mind the order of the vertices.

From the given figure,

116°+y°=180° (Sum of adjacent angles is 180°)

y°=180°-116°

y°=64°

Sum of interior angles of quadrilateral is 360°.

Here, x°+y°+72°+125°=360°

x°+64°+72°+125°=360°

x°+261°=360°

x°=99°

Therefore, the measure of x° is  99° and the measure of y° is 64°.

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3/2+b=7/4 what is the value of B

Answers

b = 1/4

b = 0.25

Move all terms not containing  b  to the right side of the equation.

Answer:

b=1/4

Step-by-step explanation:

What are the interest cost and the total amount due on a six-month loan of $1,800 at 14.4 percent simple annual interest

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Principal (P)= $1,800

Number of periods (t)= 6 months

Monthly interest rate (r)= 0.144/12= 0.012

To calculate the interest to be paid and the total amount due, we need to use the following formula:

I= P*r*t

I= 1,800*6*0.012

I= $129.6

Total amount= $1,929.6

A homeowner stays in a single location for an average of 20 years with a standard deviation of 5.7 years. What are the chances that someone lives in their home for 40 years or more?

Answers

Answer:

The Probability that someone lives in their home for 40 years or more

[tex]P(X\geq 40 ) = P( Z\geq3.50 )[/tex] = 0.0002

Step-by-step explanation:

Explanation:-

Given mean of the Population = 20 years

The standard deviation of the Population = 5.7 years

Let 'X' be the random variable in normal distribution

[tex]Z = \frac{x-mean }{S.D} = \frac{40-20}{5.7} = 3.508[/tex]

The Probability that someone lives in their home for 40 years or more

[tex]P(X\geq 40 ) = P( Z\geq3.50 )[/tex]

                 =  1 - P( Z< 3.50)

                = 1 - ( 0.5 + A(3.50)

                = 0.5 - 0.4998     ( from normal table )

               = 0.0002

Help me i don't understand this and i need a answer fast <3

Answers

Answer:

what grade r u in?

Step-by-step explanation:

14. Quadrilateral ABCD is located at A(2,0), B(3,-4), and C(7,-5). What are the
coordinate of point D that makes the quadrilateral a rhombus?
PLEASE HELPPP

Answers

Answer:

A

Step-by-step explanation:

A rhombus is a quadrilateral whose four sides all have the same length. if you look at the picture I sent, A(6,-1) forms a rhombus where all of the sides are an equal length.

People tend to evaluate the quality of their lives relative to others around them. In a demonstration of this phenomenon, Frieswijk, Buunk, Steverink, and Slaets (2004) conducted inteviews with frail elderly people. In the interview, each person was compared with fictitious others who were worse off. After the interviews, the elderly people reported more satisfaction with their own lives. Following are hypothetical data similar to those obtained in the research study. The scores are measures on a life-satisfaction scale for a sample of n = 9 elderly people who completed the interview. Assume that the population average score on this scale is μ = 20. Are the data sufficient to conclude that the people in this sample are significantly more satisfied than others in the general population? Use a one-tailed test with α = .05. The life-satisfaction scores for the sample are 18, 23, 24, 44, 19, 27, 23, 26, 25.

Answers

Answer:

we reject H₀

We have enough evidence to claim that people in the sample are significantly  more satisfied than others in general population at 95 % of CI

Step-by-step explanation:

Population mean    μ₀  = 20

Sample data   18  23  24 44  19 27 23 26 25

Then:

Sample mean      μ   =  25,44

Sample standard deviation     s = 7,14

Sample size     n  =  9

Hypoyhesis test:

Null hypothesis                                H₀              μ   =   μ₀

Alternative hypothesis                   Hₐ               μ   >   μ₀

Significance level    α  = 0,05    CI = 95 %

We must develop a  t-student one-tail test  ( to the right ) as follows

t(c)  =  ??

degree of freedom    df = n - 1         df =  8      and    α = 0,05

Then from t-student table    t(c)  =  1, 8595

To calculate   t(s)  =  (  μ  -  μ₀  ) / s/√n

t(s)  =  ( 25,44  -  20 ) * √9 / 7,14

t(s)  = 5,44*3 / 7,14

t(s)  = 2,29

Comparing   t(c) and  t(s)

t(s)  >  t(c)

Then t(s) is in the rejection region   we reject H₀

We have enough evidence to claim that people in the sample are significantly  more satisfied than others in general population at 95 % of CI

Expand the single bracket
12(b +3)

Answers

Answer:

12b + 36

Step-by-step explanation:

multiply the outside of the bracket by the inside

12(b + 3)

12b + 36

1 hours 20 min : 2 hours ratio

Answers

1:20 i think sooo.Je suis américain et habite dans les montagnes vertes du vermont . Je premier apprend français il y a un an parce que c'est un beau langue . Oui, je sais mon français est mauvais, mais J'aime l'apprendre . Je suis dix-sept et j'ai un chien blanc petit . Ma famille l'appelle snowball et il est tres gentil . Mon préféré endroit en la monde est les montagnes car ils sont très beau dans tout quatre saisons . Merci pour votre temps et au revoir .

Please help me with this question

Answers

Answer:

5 x 3/4 < 5

2 x 4/3 > 2

6 x 5/5 = 6

4/7 x 1/8 < 4/7

2/5 x 7/7 = 2/5

1/3 x 6/4 > 1/3

does anyone know this?!
the answers are
a- 0.12
b- 0.32
c-0.20
d.0.08

Answers

Answer:

a

Step-by-step explanation:

Kelsea and Landon are playing in a park standing 100 feet away from each other. They both see a bird flying above them. The angles of elevation from each person to the bird are shown. How high is the bird from the ground? Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

use an ASA triangle  with law of sine

since we know that 180 = 20 +45 + C   .. solve for C = 115°

now use  law of sines    c/ sin(C) = b/sin(B) .. and solve for b

Sin(20)*100/sin(115) = b

b = 37.73774 ft

that's the hypotenuse of the 45 triangle

SOH CAH TOA   to remember how trig functions fit

use b*Cos(45) = adj

26.6846 = adj

The bird is 26.7 ft. from the ground

What is the slope of a perpendicular line through -y=-2x+8?

A) -1/2
B) -2
C) 2
D) 1/2

Answers

I think it is b hope it’s write

Answer:

c. 2

Step-by-step explanation:

-y=-2x+8

I hope this helps

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