A deck of cards contains 52 cards, of which 4 are aces. You are offered the following wager: Draw one card at random from the deck. You win $10 if the card drawn is an ace. Otherwise, you lose $1. If you make this wager very many times, what will be the mean amount you win?

Answers

Answer 1

Answer:

-$0.15

Step-by-step explanation:

We have been given win = $10, and loss = $-1

This deck of cards has 4 aces out of a total of 52 cards.

Then the probability can be explained as the number of favorable outcome/number of what is the possible outcome.

P(win) = number of favorable outcome/number of possible outcome

= 4/52

= 1/13

P(loss) = number of favorable outcome/number of possible outcome

= 48/52

= 12/13

Then we have

$10x1/13 + (-1)x12/13

= 10/13-12/13

= -2/13 dollars

= -$0.15

Answer 2

Using the principle of discrete probability, the expected value, which a measure of the mean amount after many plays is - 2/13

Calculating the required probabilities :

P(winning) = P(drawing an Ace) = 4/52 = 1/13

Hence, P(losing) = 1 - 1/13 = 12/13

X :____ 10 _____ - 1

P(X) : _ 1/13_____ 12/13

The expected value :

E(X) = 10 × (1/13) + - 1(12/13)

E(X) = 10/13 - 12/13

E(X) = - 2/13

Hence, the measure of the mean amount is -2/13.

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Related Questions

Secured debt usually has _____.


longer loan terms


collateral


lower interest rates


all of the above

Answers

I personally don’t get this subject, but I do remember seeing a quote that actually says the answer, that quote is:

“Secured debt generally has a lower interest rate, because the lender has a source of collateral if you don't make your payments,” says Brown.

Hope this helps, and it’s actually pretty convenient that I saw this today....

Answer:

all of the above

Step-by-step explanation:

A bag of popcorn contains 945 calories and serves 7.5 people. How many calories are in each serving?
Please help

Answers

Answer:

126

Step-by-step explanation:

945÷7.5=126

I HOPE IT HELPS!

please help me will give brilliant ​

Answers

Given,

Inequality : y-5>2x-10

To find,

Draw the graph.

Solution,

We have,

y-5>2x-10

First we simplify the above inequality.

Taking variables to LHS and constant to RHS.

y-2x>5-10

y-2x>-5

The points are (0,-5) and (3,1).

The attached figure shows the graph for the above equation. So, the correct graph is in option (2).

Last month, a car dealership sold 80 cars. Of all the cars sold, 15% of them were red. How many cars that were sold were red?

Answers

Answer:

12 red cars

Step-by-step explanation:

15% is 0.15

So, you do 80 × 0.15, which is 12.

A rectangular box has length 20cm, width 6cm and height 4cm. find how many cubes of size 2cm that will fit into the box.​

Answers

Answer:

[tex]\boxed{\pink{\sf The \ number \ of \ cubes \ that \ can \ be \ fitted \ is 60 .}}[/tex]

Step-by-step explanation:

Given dimensions of the box = 20cm × 6cm × 4cm .

Dimension of the cube = 2cm × 2cm × 2cm .

Therefore the number of cubes that can be fitted into the box will be equal to the Volume of box divided by the Volume of the cube. So ,

[tex]\boxed{\red{\bf \implies No. \ of \ cubes \ = \dfrac{Volume \ of \ box}{Volume \ of \ cube }}}[/tex]

[tex]\bf \implies n_{cubes} = \dfrac{20cm \times 6cm \times 4cm .}{2cm \times 2cm \times 2cm } \\\\\bf\implies n_{cubes} = 10 \ times 3cm \times 2cm \\\\\implies \boxed{\bf n_{cubes}= 60 }[/tex]

Hence the number of cubes that can be fitted in the box is 60 .

Please HELP (due after 20 mins)
Order from least to greatest:
-2, 3.5, 2.25, -3.5, 1

Answers

Answer from least to most
-3.5, -2, 1, 2.25, 3.5

Express the product of 2x^2 +7x-10 and x+5 in Standard form.

Answers

Answer:

2x^3 + 17x^2 + 25x - 50

Step-by-step explanation:

A superintendent of a school district wants to understand the link between attendance and grade point average, or GPA. The GPA is out of 4.0 points, with 4.0 being the highest possible. The percent attendance and GPA of 10randomly sampled students from the superintendent's district were collected. This sample data is reproduced in the table below. Calculate the correlation coefficient r using a TI-83, TI-83 plus, or TI-84 graphing calculator (round your answer to two decimal places).
"GPA" 3.5 2.38 1.16 3.83 3.28 3.69 3.46 3.87 3.69 3.75
Attendance 91% 74% 80% 97% 59% 78% 90% 98% 94% 87%
r=_______.

Answers

Answer:

0.4136

Step-by-step explanation:

Given the data:

"GPA":

3.5

2.38

1.16

3.83

3.28

3.69

3.46

3.87

3.69

3.75

Attendance

0.91

0.74

0.80

0.97

0.59

0.78

0.90

0.98

0.94

0.87

The value of R (correlation Coefficient) obtained for the two variables GPA and ATTENDANCE is 0.4136. This shows that a fairly weak relationship between the GPA obtained and the attendance of students. Hence, even though a positive relationship exist between the two variables, that is, an increase in one variable yields a corresponding increase in the other and vice versa. The correlation Coefficient value for both values is just fairly strong.

Help I need help I have 20 missing assignments

Answers

the answer is 68° because ABD=116° and CBD=48° so 116-48=68

A model maker wants to make a model of a ship. He will use a scale of 1:50. The ship was 100ft long. 1 foot=0.3m

Answers

you are a girl or boy. #/

Becca made 960 cookies to sell. She wants to package the cookies in the the boxes of 16 . Her goal is to make $630 from selling her cookies . If each box of cookies is priced the same , how much should Becca charge for each box ?

Answers

Step-by-step explanation:

Total cookies = 960

Each box has 16 cookies

Her goal is $630

First, you want to find out how many boxes she made

960÷ 16 = 60

She made 60 boxes

Now you want to find the price for each box

630 ÷ 60 = 10.5

She should charge $10.50 for each box

I hope this helps!!!

Dave typed the first 8 pages of his report in 24 minutes. At this rate, how long should it take Dave to finish typing the rest of his 60 pages report ?

Answers

Answer

180

Step By Step Explanation

24/8 = 3, 3x60=180

Bo Karah can run a race in 4 hours 33 minutes if he runs at 7 m/s. How long will it take in hours and minutes if
he runs at 11 m/s? Give your answer to the nearest minute.

Answers

Answer:

7 hours and 9 minutes

Step-by-step explanation:

4 hours and 33 minutes is 273 minutes

7 m/s —> 273 minutes

11 m/s —> M

Criss cross to get M

11x273= 7M

3003=7M

M=429 minutes

==> 429 minutes is 7 hours and 9 minutes

Darron is taking college classes while in high school. The classes cost $200 plus $35 for every credit hour. y = total cost of classes x = credit hours taken Which equation matches this linear function?

Answers

Answer:

y = 35x+200

Step-by-step explanation:

The $200 is a constant, and the $35 PER credit hour makes it dependent on x.

order dessert
no dessert
split the check
one person pays

Answers

I don't understand, what's the question?

Rainer bought 1.5 pounds of lunch meat at the store for $10.98. What was the unit rate (price) of the lunch meat?

Answers

Answer:

7.32

Step-by-step explanation:

Answer:

7.32

Step-by-step explanation:

To find the unit rate, divide 10.98 by 1.5 to get 7.32

pls help me due today

Answers

Answer:

a - 8/2

Step-by-step explanation:

i hope this help;-)

Answer:

[tex]\frac{1}{2} (a - 8)[/tex]

Step-by-step explanation:

[tex]\frac{1}{2} (a - 8)[/tex] = [tex]\frac{1}{2}a - 4[/tex]

they are equal because 8 divided by 2 is 4 so you still get [tex]\frac{1}{2}a - 4[/tex]

Awnser pls.........................................

Answers

I think the 3 number

The cost of a ticket to a Circus & Fan Fair show is $69 for adults and $26 for children. On a
certain day, 5 times as many children attend the show than adults, and the total revenue is
$94,908. About how many adults bought tickets?

Answers

Let the number of adults equal x, and the number of children equal 5x.

26(5x) + 69x = 94908

194x = 94908

x = approx. 489

About 489 adults bought tickets.

A total of 489 adults take tickets to the circus & Fan Fair show.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the number of tickets that adults bought is a and the number of tickets that children bought is c.

Then,

26(5a) + 69c = 94908

194a = 94908

a = 489.21 but we need to take the whole number and practical number so it will be 489.

Hence "A total of 489 adults take tickets to the circus & Fan Fair show".

For more about the equation,

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M<5 = 98 degrees , find m< 4

Answers

Answer:

Step-by-step explanation:

if M<5=98, angle M<4=180-98=82

angles 5 and 1 are equal

angles 8 and 4 are equal

The noise level of a library is about 40 decibels. The noise of traffic has a rating of about 85 decibels. How many times stronger is the noise of traffic than the noise of a library?

Answers

Answer:

2.125

Step-by-step explanation:

LIbrary noise = 40 decibels

traffic noise = 85 decibels

how many does 40 take to make 85? = X

40X=85

X=85/40

2.125

-8x-6 pls holpp :((((

Answers

Answer:

The answer is 48.

Step-by-step explanation:

None.

amy ate 27.5 cookies in 5.5 minutes. How many cookies did she eat per minute?

Answers

Answer:

5 cookies per minute.

Step-by-step explanation:

To do this, we divide 27.5 by 5.5 to get the unit rate, in other words, the amount of cookies eaten per minute. This gets us 5. That means Amy ate 5 cookies per minute.

Answer:

Amy ate 5 cookies per minute

Step-by-step explanation:

Do get the unit rate - the number of cookies per minute - you can divide 27.5/5.5. You then get 5. This means that Amy ate 5 cookies per minute.

Tell Amy to watch her diet...

1/2(x+2)+7 = 3x + (-32)


PLEASE HELP AND EXPLAIN

Answers

Answer:

X=16

Step-by-step explanation:

2. PLZZZ help math (O_O)


U don’t have to answer them all but at least answer one question if u answer make sure to member them so I know which one is which.

Answers

Answer:

1) 3

2) 26

3) 50

4) 20

5)20

Step-by-step explanation:

NEED HELP ASAP Select the correct answer.
Which Inequality is graphed on the coordinate plane?
Oy? -4r + 2
O y > -x + 2
y = -x + 2
o y <-4+ + 2
d

Answers

Answer:

D: y < -1/4x + 2

Step-by-step explanation:

I just did it on Edmentum

The inequality which is graphed on the coordinate plane is  y > -x + 2, the correct option is B.

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

An inequality is a mathematical statement that compares two values or expressions using a relational operator, such as less than (<), greater than (>), less than or equal to (≤), greater than or equal to (≥), or not equal to (≠). Inequalities are used to describe relationships between quantities or to express constraints or conditions.

We are given that;

The graph of inequality

Now,

the graph shows a dashed line with a slope of -1 and a y-intercept of 2, which is the equation y = -x + 2. The dashed line means that the points on the line are not included in the solution set of the inequality. The shaded region above the line means that the points in that region satisfy the inequality.

Therefore, by the inequality the answer will be y > -x + 2.

Learn more about inequality ;

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A restaurant orders corn tortillas and flour tortillas. The ratio of the number of corn tortillas to the number of flour tortillas is 2:3. What is the ratio of the number of flour tortillas to the number of tortillas

Answers

Answer: 3:5

Explanation: The ratio of Corn tortillas to flour tortillas is 2:3, so you look at the total number of tortillas (5) and put the number of flour tortillas in front of it (3). Leaving you with 3:5

Answer:

3:5

Step-by-step explanation:


How many fourths are there in 1 3/4?

Answers

Answer:

12 one fourths

Step-by-step explanation:

There 3 × 1 1 / 4 = 3 × 4 = 12 one fourths in 3 .

Answer:

7

Step-by-step explanation:

1 3/4 = (4+3)/4 = 7/4 = 7 fourths

Solve this equation for x.

5(1+3x)−9=4(3x−3)

x=−83

x=−19

x=23

x=89

Answers

X= -8/3
or -2 2/3
or -2.6

here is 93 points but answer this please If x = 4, what is the value of x3 + x - 5?

Answers

Answer:

11

Step-by-step explanation:

x3+x-5

3*4=12

12+4-5

16-5=11

pls i REALLY need brainliest

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