A game of chance involves rolling a 16-sided die once. If a number from 1 to 3 comes up, you win 4 dollars. If the number 4 or 5 comes up, you win 7 dollars. If any other number comes up, you lose. If it costs 5 dollars to play, what is your expected net winnings

Answers

Answer 1

Answer:

-$1.8

or loss of $1.8

Step-by-step explanation:

Given the following parameters, we have

The probability of winning $4 is 3/16

The probability of winning $7 is 2/16

The probability of losing $5 is 11/16

E(X) = (4 * 3/16) + (7 * 2/16) + (-5 * 11/16)

= 12/16 + 14/16 - 55/16

= -29/16

= -1.8

Hence, your expected net "winnings" would be -$1.8. That's an expected loss of $1.8.


Related Questions

A system of equations is shown below.
X + 7y = 23
3x + 14y = 48
What is the value of x + y in the solution to the system?

Answers

Answer:

A

Step-by-step explanation:

The value of x + y for the given system of equations is found to be as 5.

What is a system of linear equations?

A system of linear equations is a group of  equations having same number of variables and degree.

For the n number of variables n number of equations are required.

On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.

The given equations are as follows,

x + 7y = 23                      (1)

3x + 14y = 48                  (2)

Solve the equations by substituting the value of x from equation (1) into (2) as follows,

3x + 14y = 48

=> 3(23 - 7y) + 14y = 48

=> -21y + 14y = 48 - 69

=> -7y = -21

=> y = 3

Then, x = 23 - 7y = 23 - 7 × 3 = 2

Thus, the value of x + y is given as 3 + 2 = 5.

Hence, the value of the required expression is given as 5.

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can anyone help me with 5 and 7 ​

Answers

Answer:

4) add 5x and 9x

 answer:   14x - 30

7) subtract 28 from 15

answer: x - 13

Step-by-step explanation:  sorry if it is wrong I try my best

What is the perimeter of the figure?
5 cm
4 cm
4 cm
4 cm
5 cm

Answers

it would be 22cm because 5+4+4+4+5=22

Plzz help meee! I am timed

Answers

Answer:

The Answer Is 8 five dollar bills

Step-by-step explanation:

First you Multiply 5 by 8 Then divide the answer by 5

8k + 4 - 11k + 9 show work please

Answers

-3k+13 or 3k-13 . -11+8 equals 3. 9+4 equals 13

Answer:

8+4−11+9

8+13−11

8+13−11

−3+13

^^^

Step-by-step explanation:

A 6 foot wide painting should be centered on a 10 foot wide wall. How many
feet (x) should be on each side of the painting?
EX:X + 1
= 10
th

Answers

Shouldn’t it be 60? Think about it, six times the foot wide in in the paining plus 10 times the foot width on the wall

Solve the equation of N+5/-16=-1

Answers

Step-by-step explanation:

N + 5 = -1

-16

N = - 1 + 5

16

N = -16 + 5

16

N = -11

16

N = -0.6875 = -0.7

Area of composite figure

Answers

Answer:

Is there a question or do you need an explaination and what it is?

Step-by-step explanation:

In order to find the composite area of two or more shapes, simply find the area of each shape and add them together.

source: ck12

GIVING BRAINIEST!!! I NEED THE INEQUALITY SENTENCE FOR THIS!!!!

Answers

Answer: they can weigh 15 and 20 pounds

Step-by-step explanation:

What is the mean, median and mode of the data below. (List in that order: mean, median, mode) 18, 24, 20, 18, 21

Answers

Answer:

Mean: [tex]20.2[/tex], Median: [tex]20[/tex], Mode: [tex]18[/tex]

Step-by-step explanation:

The mean or average of a data set is calculating by dividing the sum of the data values by the number of the data values. In this case, the sum of the data values is [tex]18+24+20+18+21=101[/tex] and the number of data values is [tex]5[/tex], so the mean is [tex]\frac{101}{5}=20.2[/tex].

The median of a data set is the middle value when the data is ordered in ascending order, meaning least to greatest. Right now, the data is not in ascending order, but after ordering it, we get [tex]18,18,20,21,24[/tex]. Since there are [tex]5[/tex] data values in this set, the middle value, or median, will be the [tex]3[/tex]rd value, which, in this case, is [tex]20[/tex].

Finally, the mode of a data set is the most frequent value, or the value that shows up the most. In this case, [tex]18[/tex] shows up twice, unlike the other numbers, which only show up once, so we know that the mode is [tex]18[/tex]. Hope this helps!

The price of an item has been reduced by 35%. The original price was $25.

Answers

Step-by-step explanation:

what thanks for free points btw

Answer:

not sure ans sorry if its wrong but i think its 8.75

True or False.
The expressions 3 + y and 1/3 (6 + y) are equivalent?

Answers

Answer:

false

Step-by-step explanation:

consider y = 3

its 6 for one and 3 for the other

Find sec x if sin x = -7/25 and cot x = -24/7.
Show work. Thanks.

Answers

Answer:

[tex]sec\ x = \frac{25}{24}[/tex]

Step-by-step explanation:

Given

[tex]sin\ x = -\frac{7}{25}[/tex]

[tex]cot\ x = -\frac{24}{7}[/tex]

Required

Determine sec x

Sec x is calculated as:

[tex]sec\ x = \frac{1}{cos\ x}[/tex]

Multiply by sin x/sin x

[tex]sec\ x = \frac{1}{cos\ x} * \frac{sin\ x}{sin\ x}[/tex]

[tex]sec\ x = \frac{1}{sin\ x} * \frac{sin\ x}{cos\ x}[/tex]

[tex]sec\ x = \frac{1}{sin\ x} * \tan\ x[/tex]

[tex]tan\ x = \frac{1}{cot\ x}[/tex]

[tex]sec\ x = \frac{1}{sin\ x} * \frac{1}{cot\ x}[/tex]

The equation becomes:

[tex]sec\ x = \frac{1}{-7/25} * \frac{1}{-24/7}[/tex]

[tex]sec\ x = \frac{-25}{7} * \frac{-7}{24}[/tex]

[tex]sec\ x = \frac{25}{24}[/tex]

Let z =38 (cos(pi/8)+ i sin(pi/8)) and w = 2 (cos( pi/16 ) + i sin(pi/16))

What is the product of zw?

Answers

Answer:

[tex]zw=76 * (cos(\frac{3\pi}{16}) +isin(\frac{3\pi}{16}) )[/tex]

Step-by-step explanation:

Given

[tex]z =38 (cos(\frac{\pi}{8})+ i sin(\frac{\pi}{8})[/tex] and

[tex]w = 2 (cos(\frac{\pi}{16} ) + i sin(\frac{\pi}{16})[/tex]

Required

Determine zw

Given that:

[tex]x = v_1(cos(a) + isin(a))[/tex] and [tex]y = v_2(cos(b) + isin(b))[/tex]

[tex]x * y = (v_1 * v_2)*((cos(a+b) + isin(a+b))[/tex]

So, we have:

[tex]zw=(38 * 2) * (cos(\frac{\pi}{8} + \frac{\pi}{16}) + isin(\frac{\pi}{8} + \frac{\pi}{16}))[/tex]

[tex]zw=76 * (cos(\frac{2\pi + \pi}{16})+isin(\frac{2\pi + \pi}{16}))[/tex]

[tex]zw=76 * (cos(\frac{3\pi}{16}) +isin(\frac{3\pi}{16}) )[/tex]

The value of ZW is  [tex]\begin{aligned} (76) [Cos(\frac{3\pi}{16})+ \i\ Sin(\frac{3\pi}{16})]\end{aligned}[/tex].

Given to us,

[tex]\begin{aligned} Z &= 38 [cos(\frac{\pi}{8}) + i\ sin(\frac{\pi}{8}) ]\end{aligned}[/tex],

[tex]\begin{aligned}W &= 2 [cos(\frac{\pi}{16}) + i\ sin(\frac{\pi}{16}) ]\end{aligned}[/tex],

We know that,

[tex]{x = v_1 [ cos\ (a) +i\ sin\ (a)]}[/tex]  and  [tex]{y = v_2 [ cos(b) +i\ sin(b)]}[/tex]

So,

[tex]xy = (v_1 \times v_2) [ cos(a+b) + i\ sin(a+b)][/tex]

Therefore, we can write it as,

[tex]\begin{aligned}ZW &= [38cos(\frac{\pi}{8}) + 38\ i\ sin(\frac{\pi}{8}) ]\times [2cos(\frac{\pi}{16}) + 2\ i\ sin(\frac{\pi}{16}) ]\\&= (38 \times 2) \{Cos[\frac{\pi}{8} + \frac{\pi}{16}]\}+ \{i\ Sin[\frac{\pi}{8} + \frac{\pi}{16}]\} \end{aligned}[/tex]

        [tex]\begin{aligned}&= (76) [Cos(\frac{3\pi}{16})+ \i\ Sin(\frac{3\pi}{16})]\end{aligned}[/tex]

Hence, the value of ZW is  [tex]\begin{aligned} (76) [Cos(\frac{3\pi}{16})+ \i\ Sin(\frac{3\pi}{16})]\end{aligned}[/tex].

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A board is 6 feet 11 inches long. How long is it in inches

Answers

Answer:

83 inches

Step-by-step explanation:

it would b 83 inches.

173 The midpoint between x and a is m. What is x ?

Answers

If so, [tex]m=\frac{x+a}{2}[/tex] when solved for x will yield [tex]x=2m-a[/tex].

Hope this helps.

HELP THIS IS DUE IN 10 MINUTES!!!!!! Which ratio defines te whenr represents radius, and d represents diameter?
22
d
27
d
2пт
Ο Ο.
2r
d

Answers

Answer:

2πr/d

Step-by-step explanation:

Circumference = 2πr

Pi = circumference/diameter

=2πr/d

About 25% of the students at a college are freshmen. Of those, about 50% are women. Does that mean that 75% of the students at the college are freshmen women? Explain

Answers

No. 50% of 25% would be 12.5%, which is no where close to 75%.

I think the answer is nine but I’m not sure how to explain how I got my answer

Answers

Answer:

ur answer is right it is 9

Step-by-step explanation:

NOTE: divide the number 36 with 4 and u will get 9

GOOD JOB

Please mark as brainliest

Have a great day, be safe and healthy

Thank u  

XD

In a lab experiment, 130 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 8 hours. How many bacteria
would there be after 21 hours, to the nearest whole number?

Answers

Answer:

y = 802

Step-by-step explanation:

your car is currently worth 20,000. it is expected to decrease in value by 10% each year. how much will it be by the third year?

Answers

Answer:

Your answer would be 14,000 by the third year

What is the prime factorization of 120

Answers

2,60,2,30,2,15,3,5,1

Which graph represents the function y = arctan(x) ? Note the domain and range of all graphs is [- 2, 2] .

Answers

Answer:

D

Step-by-step explanation:

Last answer on edge2020

Find the area of each figure. Use 3.14 for pie.

Answers

Answer:

sorry

Step-by-step explanation:

i think hope this helps

help me with this please!!! :)

Answers

Answer:

C. 4x-4

Step-by-step explanation:

If you divide by 4 on the left side you get...

16x/4 - 16/4

4x - 4

We are dividing by 4 because it was factored out of the expression.

he FDAL level for insect filth in chocolate is 0.6 insect fragments (larvae, eggs, body parts, and so on) per grams. Suppose that there is an average of 0.57 insect fragments per gram of chocolate bar and the distribution is following a Poisson distribution. Compute the probabilities that the number of insect fragments in a 50-gram sample of chocolate bar are:

Answers

Answer:

Step-by-step explanation:

[tex]\text{To find :} \\ \\ 1.) \ \ \text{More than 20} \\ \\ 2) \text{Less than 30 } \\ \\ 3) \ \text{Within the range of }( \mu - \sigma , \mu +\sigma)[/tex]

[tex]\ \ \ Since \ \ X \ \text{follows a poisson distribution and;} \\ \\ X\sim Poisson (0.57) per \ gram \\ \\ X \sim Poisson (28.5) \ per \ 50 \ grams \\ \\[/tex]

[tex]1) \ \ \ \text{The probability } P(X>20) = \sum \limits ^{50}_{x=21} \dfrac{e^{-28.5}\times 28.5^x}{x!} \\ \\ \mathbf{ = 0.9389}[/tex]

[tex]2) P( X<30) = \sum \limits ^{29}_{x=0} \dfrac{e^{-28.5}\times 28.5^x}{x!} \\ \\ \mathbf{=0.5861}[/tex]

[tex]\text{3) Since then mean}\ \mu = 28.5 \\ \\ \sigma =\sqrt{28.5} = 5.339 \\ \\ \mu - \sigma = 28.5 -5.339= 23.161 \\ \\ \mu + \sigma = 28.5 + 5.339 = 33.839[/tex]

[tex]P(23.161 < X< 33.839) = \sum \limits ^{33}_{24} \dfrac{e^{-28.5}\times 28.5^x}{x! } \\ \\ = P(X\le 33) - P( X \le 23) \\ \\ = 0.82678 - 0.1750 \\ \\ \mathbf{= 0.6516}[/tex]

The time in rio is 3 hours behind london
The time in new york is 5 hours behind london
what is the time in rio when it is 11pm in new york

Answers

If it’s 11pm in NY then it’s 4am in London... therefore it’s 1am in Rio.

Find only perimeter of shape length 574.0 cm and width 487.7cm

Answers

Answer:

What is the shape pf the figure?

i’m stuck on this question

Answers

Answer: I have a feeling the answer is “slope=5/8”

I think this is the answer because the rise is 5 and the run is 8. Let’s hope this is the answer!

Find the area of the figure. Use 3.14 for A. N 8 m 12 m

Answers

Answer: 105m²

Formula for Area of Circle: A = π r²

so, A = 3.14 (6)² (I got 6 because radius is half the diameter)

Don't forget to divide the final area of the circle in half, because It's only a semicircle.

Formula for Triangle: A = [tex]\frac{bh}{2\\}[/tex]

so, A = [tex]\frac{6(8)}{2}[/tex] (again, the "6" is just the diameter divided in half which forms the base of ONE triangle.)

You need to multiply the final area of the triangle by 2 since there are 2 triangles.

Step-by-step explanation:

Cos Milky said it. Trust Milky. Milky smart.

Answer:

deez nù Tx. . .

Step-by-step explanation:

source:trust me bro

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