A game involves drawing a single card from a standard deck. One receives 60 cents for an ace, 30 cents for a king, and 5 cents for a red card that is neither an ace nor a king. If the cost of each draw is 10 cents, what is the expected value?

Answers

Answer 1

Answer:

The expected game value is -1 cent

Step-by-step explanation:

Here, we want to calculate the expected value of the game

We have 4 aces and 4 kings, including 26 red cards

The number of aces is 4

Probability of drawing an ace is 4/52 = 1/13

Probability of drawing a king is also 4/52 = 1/13

There are 26 red cards

The number of red cards that are neither ace nor king

There are 2 red aces and 2 red kings

So the number of cards that are red but are not

aces nor kings are 26-2-2 = 22

The probability of selecting this is 22/52 = 11/26

So the expected value is simply the probability multiplied by the amount

Thus, we have;

(60 * 1/13) + (30 * 1/13) + (5 * 11/26)

= 60/13 + 30/13 + 55/26

= (120 + 60 + 55)/26 = 9.038 cents which is approximately 9 cents

we subtract this from the 10 cents we are playing with, thus we are left with 9-10 = -1 cent


Related Questions

The teacher recommends that students read for 20 minutes each
night. How many pages will the student complete?
type your answer...
pages
1 point
In a really exciting part of the book, the student read 18 pages in
one sitting. For how many minutes did she read?

Answers

Answer:

the student read for 36 minutes

Step-by-step explanation:

so for each night minutes read is going to represent the minutes read and y is going to represent the pages read. This means that 18 should be substituted in for y.

18=1/2x

so to solve you are going to divide both sides by 1/2

36=x

Rodney needs $90 to buy a fish tank. He has saved $35 and plans to work as a babysitter to earn $5 per hour. Which inequality shows the minimum number of hours, n, that Rodney should work as a babysitter to earn enough to buy the fish tank? (1 point)

35 + 5n ≥ 90, so n ≥ 11
35 + 5n ≤ 90, so n ≤ 11
5n ≥ 90 + 35, so n ≥ 25
5n ≤ 90 + 35, so n ≤ 25

Answers

Answer:

A :   35 + 5n ≥ 90, so n ≥ 11

Step-by-step explanation:

Just took the assesment!

I need help somebody give me a answer?

Answers

The answer is B because the domain is the x values and range is the y values . It just puts them from least to greatest .

Domain = x
Range = y

48:23 +4.10 3/4
Help pls....

Answers

Answer:

48:26.075

Step-by-step explanation:

You have a lake that is half shaded and half sunny. If you want to run an experiment and don't want to quantify the effects of sunlight but don't want it to effect you results, you would set up your study as a:_______a. CRDb. Block Design

Answers

Answer:

The answer is "Option a".

Step-by-step explanation:

It Central Registry Depository for certain firms and persons active throughout the U.S. stock market is the registry operated by Finance Sector Regulation Agency since 2007. It is used for storage and maintenance with licensed shares and brokerage firms and personal information, that's why CRD is correct.

20 POINTS N BRAINLIEST 16. Alun has a part-time job working as a bus boy at a
local restaurant. He earns $34 a night plus 5% of
the tips.
a) Write an equation for Alun's total earnings,
E dollars, when the tips are t dollars.
b) What will Alun earn when the tips are $400?
Explain your strategy.
c) What were the nightly tips when Alun earned
$64? Explain your strategy.

Answers

Answer:

a)E=0.05t+34, b)E=54 dollars, c)t=600 dollars

Step-by-step explanation:

a) Alun's earn equation is

E=0.05t+34

b) when t=400, then

E=0.05(400)+34

E=20+34

E=54

c) when E=64, then

64=0.05t+34

hence

0.05t=64-34

0.05t=30

[tex]t=\frac{30}{0.05}[/tex]

t=600

The area of a circle is 36
[tex]\pi[/tex]
cm?.
What is the radius of this circle?

Answers

I’m pretty sure it’s 6 bc to calculate the volume it’s pie•radius^2
6 ??????????????????????????????????????

Find the values of x and y.

Answers

X = 20 degrees
Y = 30
This is acute triangle so all the sides and angles are the same. Subtract 16 from 46 and you receive 30 for y. For the corresponding angle, subtract 80 from 180. Then add 60 to that and subtract that from 180 for x.

Estimate the sum by rounding 5,987+1,450 to the nearest thousand ​

Answers

Answer:

7000

Step-by-step explanation:

plz mark brainliest

Answer:

7,000

Step-by-step explanation:

First, round the numbers:

5,987 → 6,0001,450 → 1,000

Next, add:

6,000 + 1,000 = 7,000

I hope this helps!

The sum of 4 thirteens and 16 thirteens, need answer ASAP :(

Answers

Answer:

260?

Step-by-step explanation:

I used the equation (4)13+(16)13 and plugged it into my calculator and got 260.

The sum of 4 thirteens and 16 thirteens is 260.

What is the meaning of sum?

You add up all the numbers to arrive at the sum. When you summarise something, you pay attention to all of its crucial components. A specific sum of money can also be referred to using the word sum. You might have to spend a sizable sum of money on a new car. However, you might be able to justify spending so much if you add up or total all of its advantages. When you add up the costs of everything you ordered, the total on a restaurant bill is determined. Sum need not be restricted to numbers. When you summarise something, you're providing a summary or overarching statement about it.

Here, 4 thirteens = 4 × 13 = 52

16 thirteens = 16 × 13 = 208

Sum of 4 thirteens and 16 thirteens = 52 + 208 = 260

Hence, 260 is the correct answer.

Learn more about sum from the link.

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Which model represents the factors of 4x2 - 9?

Answers

Answer:

Step-by-step explanation:

What are the choices?

4x^2-9

Both terms are perfect squares.

(2x-3)(x+3)

Answer:

B=#2

Step-by-step explanation:

find the missing side length.

Answers

Answer:

5 ft

Step-by-step explanation:

The answer is 5 ft because the long side is 8 ft and one portion of that side is 8 ft, and 13-8=5.

Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a standard deviation of 1300 hours and a mean life span of 15,000 hours. If a monitor is selected at random, find the probability that the life span of the monitor will be more than 17,340 hours.

Answers

Answer:

0.03593

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 17,340

μ is the population mean = 15,000

σ is the population standard deviation = 1300

z score:

z = 17340 - 15000/1300

z =1.8

Probability value from Z-Table:

P(x<17340) = 0.96407

P(x >17340) = 1 - P(x<17340)

= 1 - 0.96407

= 0.03593

The probability that the life span of the monitor will be more than 17,340 hours is 0.03593

x=3, y-x=-3
what is the value of y
a. y=4
b. y=6
c. y=5
d. y=10

Answers

Y=6. 6-3=3 hopes this helps :)
Y = 0

Explanation:
x = 3; y-x=-3
so you plug 3 in as x
y-3=-3 and then add three to both sides and Y=0

if your equation were x-y=-3 then your y value would be equal to 6

Find n and r 10 pointsssss

Answers

Answer:

r = 11.623cm (aprox)

n = 6.153cm (aprox)

Step-by-step explanation:

Proportions:

9.8 ⇔ 4.3

n ⇔ 2.7

r ⇔ 5.1

n = 9.8*2.7/4.3 = 6.153 (aprox)

r = 9.8*5.1/4.3

r = 11.623 (aprox)

Which one is not a statistic ?
單選題 (10 分)
A.Sample mean
B.Sample standard error
C.Sample variance.
D.Population mean

Answers

your answer would be because the population amity has nothing to do with it!

Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic sequence.

7/5, 5/3,13/6,8/3

Answers

This question was not written properly

Complete Question

Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic sequence.

7/6, 5/3, 13/6, 8/3

Answer:

a) Common difference = 1/2

b) Fifth term = 19/6

c) nth term = 7/6 + (n - 1)1/2

= 7/6 + n/2 - 1/2

d) 100th term = 152/3

Step-by-step explanation:

We solve using the formula for arithmetic sequence

an = a1 + (n - 1)d

a1 = First term

n= nth term

d = common difference

a) Common difference = Second term - first term or Third term - second term

= d = 5/3 - 7/6

d = LCD (Lowest Common Denominator = 15

d = 5 × 6 - 3 × 7/18

d = 30 - 21/15

d = 9/18

d = 1/2

b) Fifth term =

an = a1 + (n - 1)d

a1 = First term = 7/6

n= nth term = 5

d = 1/2

a5 = 7/6 + (5 - 1)1/2

a5 = 7/6 + (4)1/2

a5 = 7/6 + 4/2

a5 = 7/6 + 2

a5 = LCD = 6

= 7× 1 + 2 × 6/6

= 7 + 12/6

= 19/6

c) nth term

an = a1 + (n - 1)d

a1 = First term = 7/6

n= nth term = n

d = 1/2

= 7/6 + (n - 1)1/2

= 7/6 + n/2 - 1/2

d) 100th term

an = a1 + (n - 1)d

a1 = First term = 7/6

n= nth term = 100

d = 1/2

a5 = 7/6 + (100- 1)1/2

a5 = 7/6 + (99)1/2

a5 = 7/6 + 99/2

a5 = 7/6 + 99/2

a5 = LCD = 6

= 7× 1 + 3 × 99/6

= 7 + 297/6

= 304/6

= 152/3

A triangle has sides that measure 5 units, 7 units, and 8 units. Is this a right triangle

Answers

Answer:

No

Step-by-step explanation:

Using the given lengths if we say this is a right triangle then 8 would be length of hypotenuse

From the Pythagorean theorem 

8^2 = 5^2 + 7^2

64 = 25 + 49

64 = 74 is not a correct equation so the triangle is not a right triangle for the given lengths

Chloe wants to divide 600 jellybeans into equal groups. She wants each group to have more than 10 jellybeans, but less than 100. What are three possible groupings Chloe can make?

Answers

Answer: One group made up  of 12 can each have 50.=600

the second group of 30 can each have 20=600

third group made of 15 can each have 40=600

Step-by-step explanation:

Answer:

not sure if this is correct, but...

you could do 12 groups of 50

or 14 groups of 60

orrr 20 groups of 30

what property is shown below
if q=r and r=s, then q=s

Answers

Answer:

Transitivity

Step-by-step explanation:

if q=r and r=s, then q=s

It is by the property of TRANSITIVITY.

Transitive Property
Since transitive property is a=b, b=c, then a=c. In this problem, since q is related to r while r is related to s. Then q has to be related to a as well.

2(4x – 3) ≥ –3(3x) + 5x?Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?

Answers

Answer:

x<=-1/2

Step-by-step explanation:

An inequality is a mathematical relationship that compares two unequal numbers using the number line

To solve the inequality 2x – 6 ≥ 6(x – 2) + 8

We first simplify both sides of the inequality

2x-6≥6x-12+8

2x-6≥6x-4

Add 6 to both sides

2x≥6x+2

-4x≥2

x≥2/-4

Sign changes when we divide both sides of equation by a negative sign

x<=-1/2

Therefore x is less than or equal to -1/2 on the number line

Y+2=-3(x-4) what’s the missing value? (_,-2)

Answers

Answer:

12

Step-by-step explanation:

Distrubute (y +2 = -3x + 12)

subtract 2 on both sides ( y +2 = -3x + 12 )

                                              -2             -2

conbine like terms (y = -3x + 10)

Answer:

4

Step-by-step explanation:

it worked, it is not 12

3. If 4x = 28, find the value of 29 - 5x *
1
-6
O Ο Ο
6
- 1​

Answers

since 4x=28,
x = 28/4 = 7
sub. x = 7 into the eqn,
29-5x = 29-5(7) = 29-35 = -6

Find the exact value of each expression, if it is defined. Express your answer in radians. (If an answer is undefined, enter UNDEFINED.)
(a) sin−1(-squareroot of 2/2)
(b) cos−1(-squareroot of 2/2)

Answers

Answer:

a) -0.7854

b) 2.36

Step-by-step explanation:

Here, we want to find the value of the angles in radians

We proceed as follows;

a) arcsin( - √2/2)

= -0.7854

b) arccos(-√(2)/2

= 2.36

Robinson’s hotel room rent is $80. His food bill is $30 and the taxi costs him $20. His company deposits his salary of $100 into his bank account. What would be the balance remaining after paying his monthly expenses? Plz help 49 points

Answers

Answer:

well his balance would be 0

Step-by-step explanation:

$80+$30+$20=130$

100$-130$=-30$

but in a bank account you cant spend more than you have like you can a credit card

According to the National Center for Health​ Statistics, in​ 1990, 28% of babies in the United States were born to parents who were not married. Throughout the​ 1990s, this increased by approximately 0.6% per year. If this trend​ continues, in which year will 31% of babies be born out of​ wedlock?

Answers

Answer:

The year is  [tex]b = 1995[/tex]

Step-by-step explanation:

From the question we are told that

   The percentage of the number of babies born out of wedlock in 1990 is  k = 28%

    The percentage by which the number increase per year is  i = 0.6%

     The percentage of of the number of babies born out of wedlock considered is  a = 31%

Generally the difference in between the percentage in 1990 and the percentage considered is  

       [tex]d = a - k[/tex]

=>    [tex]d = 31 - 28[/tex]

=>   [tex]d = 3\%[/tex]

Generally the number of year require for the percentage to be equal  to  31%  is mathematically represented as

       [tex]n = \frac{3\%}{0.6\%}[/tex]

=>     [tex]n = 5\ years[/tex]

Generally the year which the considered percentage will be attained is  

    [tex]b = 1990 + n[/tex]

=> [tex]b = 1990 + 5[/tex]

=> [tex]b = 1995[/tex]

WILL GIVE BRAINLYIST.
For this problem, use the tables and charts shown in this section. For total cost of an American tourist traveling on the European continent, Is the average price (1) higher, or (2) lower than the highest total figure shown for the Pacific area? higher lowes​

Answers

Step-by-step explanation:

higher

Scale is 1cm=8km
Hatboro and Smithville are 24cm apart on the map. What is the actual distance between the 2 cities

Answers

Answer:

192 km

Step-by-step explanation:

the same ratios apply to the situation

if 1 cm is 8 km, 24 cm could be calculated using ratios

1/8 = 24/x

Find log1/4 rounded to the nearest hundredth.

Answers

Answer:

-log_4

Step-by-step explanation:

The value of log1/4 rounded to the nearest hundredth is -0.60

Given the parameter which is needed for our Calculation:

log1/4

Using a calculator, the value of log1/4 is -0.602059

Rounding to the nearest hundredth, is two digits after the decimal point.

Hence, we have ;

-0.60 (since the value after 0 is less than 5)

Therefore, log1/4 is -0.60

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Which substance has a freezing point furthest from that of water, 0°C?

Iodine 113.5
Carbon Dioxide −78.7
Mercury −39
Glycerine 17.7
Nitrogen −210

Answers

Answer:

The freezing point of water at a pressure of one atmosphere is 0°C (32°F); that of liquid nitrogen is -209.89°C (-345.8°F).

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