Jim is playing a game of chance in which he rolls a number cube with sides numbered from 1 to 6. The number cube is fair, so a side is rolled at random.
This game is this: Jim rolls the number cube once. He wins $1 if a 1 is rolled, $2 if a 2 is rolled, $3 if a 3 is rolled, and $4 if a 4 is rolled. He loses $6.50 if a 5or 6 is rolled.

(a) Find the expected value of playing the game.

(b) What can Jim expect in the long run, after playing the game many times?

Jim can expect to gain money.

Jim can expect to lose money.

Jim can expect to break even (neither gain nor lose money).

Answer:

80

gummi bears

Step-by-step explanation:

The rate at which turtle can swim is 20 miles per hour or 20 miles in one hour.

For conversion, 1 mile is equal to 5280 foot.

Convert 20 miles per hour in foot per hour.

So answer is 105600 foot per hour.

When Matthew noticed that the container was one fourth full of sand, the remaining volume quantity needed is 432 inches³.

The container has the following dimensions. 12 in. by 8in. by 6in. Therefore, the volume will be:

= 12 × 8 × 6

= 576 inches.

Since Matthew noticed that the container was one fourth full of sand, the remaining quantity needed will be:

= 576 - (1/4 × 576)

= 576 - 144

= 432 inches³.

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Nathaniel drinks 3 glasses of water in one hour.

To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.

In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.

Let's convert the mixed number of hours to an improper fraction:

\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)

\(=\frac{12}{5}\)

Now, we can set up a proportion to find his drinking rate per hour.

We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.

Let's assign "x" as the number of glasses he drinks in one hour.

The proportion is then

\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)

Cross-multiplying gives us

\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)

Simplifying, we get

\(\frac{12}{5} =\frac{4}{5}\times x\)

Dividing both sides by \(\frac{4}{5}\), we find x:

\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)

\(x=\frac{12}{4}\)

\(x = 3.\)

Therefore, Nathaniel drinks 3 glasses of water in one hour.

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Answer:

Shaded region above a dashed boundary line

Step-by-step explanation:

> This is a greater than symbol. It has no "or equal to" underline under it, so it needs a dashed line for its graph. Because it is a greater than (as opposed to a less than< ) the shaded area will be above the dashed line.

Symbol-Line-Shade

< dashed, below

> dashed, above

<= solid, below

>= solid, above

Answer:

Her u are asked to find the value of 'm'

We can do it by transposing values from LHS to RHS

Thus it will go like this

2m=8-2

2m=6

m=6/2

m=3

Answer:

2m=8-2

2m=6

m=6/2

m=3

Answer:

3zx-15z+12x-60

Step-by-step explanation:

first do parenthesis and distribute (z+4)(x-5) into zx-5z+4x-20

then distribute the 3 to get the answer

The scale factor that was used to convert triangle ABC into the image in A ' B ' C ' is 1 / 2.

To find the scale factor, you need to find the length of a side of triangle ABC and then the length of the corresponding side in A ' B ' C '.

The side length we will pick is AB which is:

= 6 - 2

= 4 units

The side length of the other triangle is A' B' :

= 3 - 1

= 2 units

The scale factor is:

= 2 / 4

= 1 / 2

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Answer: 20% of the time.

Step-by-step explanation: 5+3+2 = 10 There are 2 blue so 2/10=1/5=20%

The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4  × 10³

From the question, we are to simplify the given expression

The given expression is

6 × 10⁻³ / 8 × 10⁻⁶

Simplifying the expression

6 × 10⁻³ / 8 × 10⁻⁶

This can be written as

6/8 × 10⁻³/10⁻⁶

Reduce the fraction

3/4  × 10⁻³/10⁻⁶

Apply the division law of indices

3/4  × 10⁻³ ⁻ ⁽⁻⁶⁾

3/4  × 10⁻³ ⁺ ⁶

3/4  × 10³

Hence, the value is 3/4  × 10³

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To model the given problem, we use the following exponential function:

Now, we set the above equation to

Solving for t, we get:

Finally, we get:

Answer:

  (A)  the addition property of equality and then the division property of equality

Step-by-step explanation:

To get from Step 1 to Step 2, we have added 5 to both sides of the equation:

  -3x -5 +5 = 13 +5

  -3x = 18

To get from Step 2 to Step 3, we have divided both sides of the equation by -3:

  -3x/-3 = 18/-3

  x = -6

These operations can be described as ...

  the addition property of equality and then the division property of equality

__

However, since addition and subtraction are the same thing, but with opposite numbers, and since multiplication and division are the same thing, but with reciprocal numbers, any of the answer choices is arguably correct.

  (add 5, divide by -3) = (add 5, multiply by -1/3) =

  (subtract -5, divide by -3) = (subtract -5, multiply by -1/3)

Answer:

A.) the addition property of equality and then the division property of equality

Step-by-step explanation:

Got It Right. Trust me

Answer:

the answer is the last one

Answer:b. (8,-1) is a solution to one equation but not the other, so it is a solution to the system

Step-by-step explanation:

27. Which statement is true about the system

x+3y=11

y=r-7

a. (8,-1) is a solution to both equations, so it is a solution to the system

b. (8,-1) is a solution to one equation but not the other, so it is a solution to the system

C. (8,-1) is a solution to one equation but not the other so it is not the solution to the system

d. (8,-1) is not a solution to either equation, so it is not a solution to the system​

Answer:

QR = 4.9 ft

Step-by-step explanation:

Since the triangle is a right triangle, use the Pythagorean Theorem (a² + b² = c²).

\(a^2+b^2=c^2\\\\a^2+1^2=5^2\\\\a^2+1=25\\\\a^2=24\\\\\sqrt{a^2}=\sqrt{24}\\\\a=4.9\)

Answer:

The percentage change from 98 to 80 is -18.37 %

Step-by-step explanation:

((y2 - y1) / y1)*100 = your percentage change

(where y1=start value and y2=end value)

((80 - 98) / 98) * 100 = -18.37 %

The area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².

To find the area of a rectangle, we multiply its length by its width. In this case, the width is given as 5.1 cm and the height (or length) is given as 11.2 cm.

Area = length × width

Area = 11.2 cm × 5.1 cm

Calculating the product, we get:

Area = 57.12 cm²

Therefore, the area of the rectangle is 57.12 cm².

The correct answer is: 57.12 cm².

It is important to note that when calculating the area of a rectangle, we should always include the appropriate unit of measurement (in this case, cm²) to indicate that we are dealing with a two-dimensional measurement. The area represents the amount of space covered by the rectangle's surface.

So, the area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².

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Answer:

fish stick :DDDD  funny

Step-by-step explanation:

4z +6v = 12z + 6v = 12   :? there is something fishy going on here   :/ what did you mean to ask in the question??

The blanks are completed as follows:

Then the inverse Laplace transform is given as follows:

f(t) = e^(9t) + 9te^(9t).

The function for this problem is given as follows:

F(s) = s/(s² - 18s + 81).

Completing the squares at the denominator, we have that:

F(s) = s/(s - 9)².

Applying partial fraction decomposition, the function can be defined as follows:

s/(s - 9)² = A/(s - 9) + B/(s - 9)²

Expanding the right side, we have that:

s/(s - 9)² = [A(s - 9) + B]/(s - 9)²

Hence:

As - 9A + B = s.

Then the system for the coefficients is given as follows:

Thus the function in the transform domain is of:

F(s) = 1/(s - 9) + 9/(s - 9)².

Applying the inverse Laplace transform, the function in the time domain is given as follows:

f(t) = e^(9t) + 9te^(9t).

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Answer:

The sample is the 150 randomly selected customers.

Step-by-step explanation:

When you survey a group of people, to gauge whaever you are interested, these people are what makes your sample.

In this question:

Nick surveys 150 randomly selected customers to determine whether or not they were satisfied.

So the sample is the 150 randomly selected customers.

Answer:

there where two toy cars that are longer then 8 inch

I'll be referring to each of these numbers as x and y.

x + y = 4

(x^2) + (y^2) - 3(x)(y) = 76

x = 4 - y

(4 - y)^2 + (y^2) - 3(4 - y)(y) = 76

(4 - y)(4 - y) + y^2 - (3y)(4 - y) = 76

16 - 4y - 4y + y^2 + y^2 - 12y + 3y^2 = 76

16 - 20y + 5y^2 = 76

5y^2 - 20y - 60 = 0

y^2 - 4y - 12y = 0

(y - 6)(y + 2) = 0

y = 6 or -2

x = 4 - 6 = -2

x = 4 - - 2 = 6

As you can see, we got the same numbers for both x and y, -2 and 6. Therefore, the two numbers are -2 and 6. But, we can check our work to ensure that the answer is correct.

x = -2

y = 6

6 - 2 = 4

4 = 4

(-2)^2 + (6^2) - 3(-2)(6) = 76

4 + 36 - 3(-12) = 76

40 + 36 = 76

76 = 76

Hope this helps!

Answer:

X and y = -2 or 6

Step-by-step explanation:

Answer:

=,<,<

Step-by-step explanation:

good luck!!

Answer:

nine hundred eighty-two < 800 + 90 +2

Four hundreds and six ones <  431

5 tens + 3 ones < 501

Answer:

the value is

Step-by-step explanation:

=3(5.10+2)

=3(7.1)

=21.3

Answer:

3(5. 10+2)

Step-by-step explanation:

3(5.12)

3(60)

180

Answer:

13.25

Step-by-step explanation:

1. you have to subract the cost of the drink:

94.25-1.50=92.75

2.you have to divide to get the individual cost of pizzas by doing

92.75÷7=13.25

so therefore your answer is 13.25 per pizza

Answer : Hello It Is X/4 + 1

Enjoy.    

◊ YusuCr ◊

The expression will be;

⇒ x/4 + 1

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

''One more than the quotient of a number x and 4.''

Now,

The mathematical expression is written as;

The quotient of a number x and 4 = x / 4

So, One more than the quotient of a number x and 4 is written as;

⇒  x/4 + 1

Thus, The expression will be;

⇒ x/4 + 1

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Answer:

BC = 4

Step-by-step explanation:

The diagram shows a circle with radius AE and chord BD.

Assuming that the radius bisects the chord, then AE is perpendicular to BD. So the measure of angle ACB is 90°.

This means that triangle ACB is a right triangle, with legs AC and BC, and hypotenuse AB.

The length of the radius is:

\(AE = 3 + 2 = 5\)

As AB is also the radius, AB = 5.

To find the length of BC, use Pythagoras Theorem:

\(AC^2+BC^2=AB^2\)

    \(3^2+BC^2=5^2\)

      \(9+BC^2=25\)

\(9+BC^2-9=25-9\)

           \(BC^2=16\)

        \(\sqrt{BC^2}=\sqrt{16}\)

            \(BC=4\)

Therefore, the length of line segment BC is 4.

Answer:

Step-by-step explanation:

all you have to do is multiply 17 * 14 and that's how you got your answer