You play a game in which two dice are rolled. If a sum of 7 appears, you win ten dollars; otherwise, you lose two. If you intend to play this game for a long time, should you expect to make money, lose money, or come out about even? Explain.

Answers

Answer 1

Answer:

Come out even

Step-by-step explanation:

The total numbers of faces in rolling two dice = 6 X 6 = 36

The sum of appears in the following cases: {6, 1}, {1, 6}, {2, 5}, {5, 2}, (3, 4}, {4, 3}. Making a total of 6 cases

Probability of obtaining a sum of 7 = possible number of cases where the sum of 7 appears ÷ total number of outcome

= 6/36 = 1/6

Probability of not obtaining a sum of 7 = 1 - Probability of obtaining a sum of 7

= 1 - 1/6

= 5/6

Expected Value: (1/6)10 + (5/6)(-2) = (10-10)/6 = 0

So the answer is come out even

                       


Related Questions

PLEASE HELP!!! CALCULUS ASSIGNMENT

Answers

Answer:

(d)  [tex]\displaystyle 12x^3 - 15x^2 + 2[/tex]

General Formulas and Concepts:

Algebra I

FunctionsFunction Notation

Calculus

Derivatives

Derivative Notation

Derivative Property [Addition/Subtraction]:                                                                [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = 3x^4 - 5x^3 + 2x - 1[/tex]

Step 2: Differentiate

Basic Power Rule:                                                                                            [tex]\displaystyle y' = 4(3x^{4 - 1}) - 3(5x^{3 - 1}) + 2x^{1 - 1} - 0[/tex]Simplify:                                                                                                             [tex]\displaystyle y' = 4(3x^3) - 3(5x^2) + 2[/tex]Multiply:                                                                                                             [tex]\displaystyle y' = 12x^3 - 15x^2 + 2[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

( d ) 12x³ - 15x² + 2

Step-by-step explanation:

y = 3x⁴ - 5x³ + 2x - 1

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of axⁿ is nax^{n-1}.

[tex] \small \sf \: y = 4\times 3x^{4-1}+3\left(-5\right)x^{3-1}+2x^{1-1} [/tex]

multiply 4 × 3.

[tex] \small \sf \: y = 12x^{4-1}+3\left(-5\right)x^{3-1}+2x^{1-1} [/tex]

Multiply 3 × -5

[tex] \small \sf \: y = 12x^{3}-15x^{3-1}+2x^{1-1} [/tex]

subtract the exponents

y = 12x³ - 15x² + 2⁰

For any term t except 0, t⁰ = 1.

y = 12x³ - 15x² + 2 × 1

y = 12x³ - 15x² + 2

Hence, option ( d ) is the correct answer.

Is this correct. Please let me know thank you

Answers

Answer:

Yes it is correct, the amount of flour is 1.5 times larger than eggs needed

Step-by-step explanation:

The dot plot shows the number of goals Erin's soccer team scored this season Goals Scored Per Game 2 Which is a true statement about the dot plot? The team never scored exactly 2 goals in a single game. OThe team scored exactly 1 goal in 3 games this season. OThe most goals the team scored in a single game were 8. O The team scored exactly 3 goalsin 4 games this season. thank you so much ​

Answers

Answer:

The answer is A. The team never scored exactly 2 goals in a single game.

Step-by-step explanation:

Edg 2021

The correct answer is Option A , The team never scored exactly 2 goals in a single game.

What is a dot plot ?

A dot plot, also known as a strip plot or dot chart, is a simple form of data visualization that consists of data points plotted as dots on a graph with an x- and y-axis.

These types of charts are used to graphically depict certain data trends or groupings.

The team never scored exactly 2 goals in a single game.

It is Option A , because it says the team never scored exactly 2 goals in a single game

and the dot plot shows 0 dots in number 2 which means A. is the correct answer.

To know more about dot plot

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10 POINTS
Which statement best describes the expression 2 + 3 ÷ y?

a. The sum of 2 and the quotient of 3 and y
b. The sum of 2 and the quotient of y and 3
c. The quotient of y and the sum of 2 and 3
d. The quotient of the sum of 2 and 3, and y

Answers

Answer:

a. The sum of 2 and the quotient of 3 and y

Step-by-step explanation:

The answer is
a. The sum of 2 and the quotient of 3 and y

0.199999 a fraccion porfavor

Answers

Answer:

199999/1000000

Step-by-step explanation:

tessa burned 357 calories in 42 minutes on the elliptical. ashley only spent 0 minutes on the elliptical and burned 267 calories. who burned calories at a faster rate

Answers

Answer:

ashley

Step-by-step explanation:

because she didnt spend any time

In parallelogram ABCD shown, point E and F are located on diagonal BD and point G is located on side AB such that GE and CF are perpendicular to BD. Prove: trainge BEG is similar to traingle DFC​

Answers

Answer:

Match the Statement number with the Reason number.

Step-by-step explanation:

Statements:

1.GE is perpendicular to BD

CF is perpendicular to BD

2. Angle GED equal 90

Angle DFC equal 90

3. Angle GED is congruent to Angle DFC

4. Angle GBE is congruent to Angle FDC

5. Triangle BEG is similar to DFC

Reasons:

1.Given

2. Definition of perpendicular lines

3. Transitive property

4. Alternate Interior Angles

5. AA Similarity

By satisfying essential conditions for two triangles to be similar, we can say that triangle BEG is similar to triangle DFC.

What is a parallelogram?

A quadrilateral in which opposites sides are equal and parallel. Also, opposite angles are equal to each other.

As we know that AB║ DC

so,∠GBE = ∠CDF (alternate angles)

∠GEB= ∠DFC = 90°

so triangle BEG≈DFC​

Therefore, we can say that triangle BEG is similar to triangle DFC

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Answer this please Help

Answers

Answer:

x=10.75 in

Step-by-step explanation:

A = 390 = x(3x+4)

3x²+4x-390 =0

ax²+bx+c=0

x= (-b±√b²-4ac)/2a

x= (-4±√(16+4680))/6 = (-4±2√1174)/6 = (-2±√1174)/3

We will consider only the x that gives us a positive answer because the dimensions cannot be negative.

x= (-2+√1174)/3 = 10.75456113≈ 10.75

The answer is:

X=10.75

50 PTS AND BRAINLIEST FOR CORRECT ANSWER

Answers

Answer: I asked my teacher, she said it is c

Step-by-step explanation:

Answer:

yes it's c

have a great day

What is the value of X equal?

Answers

Answer:

113º

Step-by-step explanation:

(x + 14) + (180 - 83) + x + 90 + x = 540

3x + 201 = 540

3x = 339

x = 113

x=113 (shjsjekskek)

Which statement is false?
A. Negative numbers are always less than positive numbers.
B. The sum of two negative numbers is always negative.
O C. The difference between two negative numbers is sometimes positive.
D. The product of two negative numbers is always negative.
E. The quotient of two negative numbers is always positive.

Answers

Answer:

So, the option (D) is the answer.

Step-by-step explanation:

A. The negative numbers are always less than positive numbers.

It is true.

For example, - 2 < + 2  

B. The sum of two negative numbers is always negative.

It is true.

For example, - 3 + (- 3) = - 6  

C. The difference between two negative numbers is sometimes positive.

It is true.

For example, (- 3) - (-4) = 1

D. The product of two negative numbers is always negative.

It is false.

For example, (-3)(-3) = 9  

E. The quotient of two negative numbers is always positive.

It is true.

For example, (-3)/(-1) = 3

10 points
Which equation should you solve to find x?

Answers

Answer:

B.

Step-by-step explanation:

Using SOHCAHTOA,

sin 24 = 4/10

cos 24 = x/10

tan 24 = 4/x

Answer: B.

Option B. is correct. Using cosine formula the equation cos 24° = [tex]\frac{x}{10}[/tex] is used to find value of 'x'.

What is cosine?

The ratio of the "adjacent side of a right angle triangle to the hypotenuse" is called cosine and given by the symbol 'cos'.

According to the question,

Angle of Right angle triangle is 24°

Adjacent = x

Opposite = 4

Hypotenuse = 10

In order to value of 'x' only if using cosine formula.

Formula for cosine = [tex]\frac{adjacent}{hypotenuse}[/tex]

= [tex]\frac{x}{10}[/tex]

Hence, the equation cos 24° = [tex]\frac{x}{10}[/tex] is used to find value of 'x'.

Learn more about cosine here

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Last week, Becky went to dance class 4 times. Each class was 3/2 hours. This week, Becky went to dance class 5 times. Each class was 1 hour which week did Becky spend more total time in dance class

Answers

Answer:

Last week

Step-by-step explanation:

last week because, the class that week was only 1 hour and last weeks was 3/2 an hour

Find the sum of the first four terms of the geometric series 2 + 1 +....

Answers

Answer:

15/4

Step-by-step explanation:

This is a geometric sequence with a common ratio of 1/2. Therefore, the sum of the first four terms of the geometric sequence is 2 + 1 + 1/2 + 1/4 = 15/4.

27
Sara is considering purchasing a certain stock. After doing her research, she determins that there is a 68%
chance of making $3,500 and a 32% of losing $1,800. Find the expected value of this purchase.
1
$2,158
$2,956
$1,804
$3,071

Answers

fax bro no cap sheeshhhhh 5x-

The mean life expectancy of a certain type of light bulb is 945 hours with a standard deviation of 21 hours. What is the approximate standard deviation of the sampling distribution of the mean for all samples with n

Answers

Answer:

The approximate standard deviation of the sampling distribution of the mean for all samples of size n is [tex]s = \frac{\sigma}{\sqrt{n}} = \frac{21}{\sqrt{n}}[/tex]

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean life expectancy of a certain type of light bulb is 945 hours with a standard deviation of 21 hours

This means that [tex]\mu = 945, \sigma = 21[/tex].

What is the approximate standard deviation of the sampling distribution of the mean for all samples of size n?

[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{21}{\sqrt{n}}[/tex]

The approximate standard deviation of the sampling distribution of the mean for all samples of size n is [tex]s = \frac{\sigma}{\sqrt{n}} = \frac{21}{\sqrt{n}}[/tex]

The sales tax rate is 10%. If Kamal buys a gold ring priced at $391, how much tax will he
pay?
Round your answer to the nearest dollar: $

Answers

391 x .10 = $39.10 which rounds to $39

Answer: $39

Step-by-step explanation: Actual answer is $39.1 but I rounded down

# form the greatest and smallest 4 digit number repetition of digits is allowed

1) the number is an even number and 2)the number is an odd number​

Answers

Answer:

1) The smallest is 1000, and the greatest is 9998.

2) The smallest is 1001 and the greatest is 9999.

Step-by-step explanation:

Four digit numbers:

The set of four digit numbers is: {1000, 1001, ...., 9998, 9999}

Even numbers:

End in 0, 2, 4, 6, 8

Odd numbers:

End in 1, 3, 5, 7, 9

1) the number is an even number

The smallest is 1000, and the greatest is 9998.

2)the number is an odd number​

The smallest is 1001 and the greatest is 9999.

6. Two linear equations are shown in the graph.
*(0.6)
(6,5),
COD).
(6.0)
dat
35344
tett
What are the coordinates of the point where the two lines intersect?
A. (-2, 3)
B. (3, 0)
C.(-3.3)
D. (3, 3)
Mark for review (Will be highlighted on the review page)
Alaviation

Answers

Answer:

(3,3)

Step-by-step explanation:

Linear equations of lines are given in the form:

y = mx + b;

where m is the slope of the line, b is the y intercept and x, y are variables.

From the graph, we can see that line 1 passes through (0,6) and (6,0) while line 2 passes through (0, 1) and (6, 5).

The equation of line 1 is given as:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-6=\frac{0-6}{6-0} (x-0)\\\\y=-x + 6\ \ \ (1)[/tex]

The equation of line 2 is given as:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-1=\frac{5-1}{6-0} (x-0)\\\\y=\frac{2}{3}x + 1\ \ \ (2)[/tex]

Solving equation 1 and 2 simultaneously by subtracting equation 1 from 2 gives:

(5/3)x - 5 = 0

(5/3)x = 5

x = 3

Put x = 3 in equation 1:

y = -3 + 6 = 3

Therefore the two lines meet at (3, 3).

please helpppppppppppppp

Answers

Answer=A

Area=Length ×Breath

Length=2cm

Breath=5cm +4cm=9cm

area = 2cm ×9cm=18cm square

If the equation y = |x| is graphed and then
moved up 3 units on the y-axis, what will be
the equation of the new graph?

Answers

Answer:

Step-by-step explanation:

The new equation will be

y = abs(x) + 3

I have made a graph to show you this.

The red graph is y = abs(x)

The blue graph is y = abs(x) + 3

You need only look at the point 0,0 to see what happened. On the red graph (0,0) is the lowest point. When you add 3 to get the lowest point, you should notice that the lowest point is now (0,3)

In January I saved £10 then double the amount each month. How much would I save in April?​

Answers

Answer:

$80

Step-by-step explanation:

Jan >> Feb >> Mar >> Apr

       x2        x2       x2

$10 >> $20 >> $40 >> $80

Determine the area of the figure. Note that each unit is one unit in length.

Answers

Answer:

nao sei ispoosksjjdkdddks

Answer:

54

Step-by-step explanation:

Split into 2 rectangles and 2 triangles and calculate area

please help, thanks!

Answers

Answer:

[tex]x=99^{\circ},\\y=81^{\circ}[/tex]

Step-by-step explanation:

The sum of the interior angles of a polygon with [tex]n[/tex] sides is [tex]180(n-2)[/tex]. Since the shape in the figure has 5 sides, the sum of its interior angles is [tex]180(5-2)=180\cdot 2=540^{\circ}[/tex].

Therefore, we can set up the following equation:

[tex]95+125+105+116+x=540,\\441+x=540,\\x=\boxed{99^{\circ}}[/tex]

Since [tex]\angle x[/tex] and [tex]\angle y[/tex] make up one side of a line, they are supplementary, as each side of a line is [tex]180^{\circ}[/tex].

Thus, we have:

[tex]x+y=180,\\99+y=180,\\y=\boxed{81^{\circ}}[/tex]

At a concession​ stand, seven hot dog(s) and four hamburger(s) cost ​$15.00​; four hot dog(s) and seven hamburger(s) cost ​$18.00. Find the cost of one hot dog and the cost of one hamburger.

Answers

Answer:

hotdog $1, and hamburger $2

Step-by-step explanation:

D-is hot dogs, H-hamburgers

7D +4H = 15

4D +7H = 18

we got 2 equations with 2 unknown so we can solve

7D +4H = 15 multiply by 7

4D +7H = 18 multiply by -4

49D +28H = 105

-16D -28H = -72     add the two equations

33D= 33 so D=$1

go back to the first equation:

7*1 +4H =15 gives us 4H = 15-7; 4H = 8 so H= $2

Which expression represents the following calculation?
Add 3 to the quotient of 8 divided by 6.
(8 + 6) + 3
(8 + 6) = 3
(8 + 3) = 6
6+ (3 * 8)

Answers

Answer:

[tex](8 \div 6) + 3[/tex]

Step-by-step explanation:

Required

The equivalent expression

To do this, we take it one step at a time.

First, the quotient of 8 divided by 6;

This means 8 divided by 6: [tex](8 \div 6)[/tex]

3 added to it;

The expression becomes: [tex](8 \div 6) + 3[/tex]

There are 6 shipping boxes that each contain 36 kg of merchandise from a toy store. Before the boxes are loaded onto a delivery truck, the same amount of additional merchandise is added to each box. The total weight of all of the boxes is 258 kg. How much additional weight was added to each box?

Answers

Answer: 7 kg

Step-by-step explanation:

The area of a parallelogram is 120 cm ^ 2 and the height is 30 cm . Find the corresponding base

Answers

Answer:

4 cm

Step-by-step explanation:

The Area of a parallelogram is given by :

Area = base * height

Area = 120 cm² ; height = 30

Area = base * height

120 = base * 30

Base = 120 / 30

Base of parallelogram = 4 cm

Which point is located at (2, -5)?

Answers

Answer:

J

Step-by-step explanation:

Go to the right 2 units from the origin (0,0) and then down 5 units

The point at that location is J

What does 7 x 1/3 equal to

Answers

[tex]7 \times \frac{1}{3} \\ \\ = \frac{7 }{3} [/tex]

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