The picture is sideways. Please help, much appreciated!​

With a $1 bet on three numbers, you can expect to win $12.33. So, the expected winnings for a $1 bet on three numbers in a roulette wheel is approximately $0.95.

Here's how to calculate it:
- There are 38 possible outcomes on the roulette wheel (1 through 36, 0, and 00).
- Your bet covers 3 of those outcomes, so your probability of winning is 3/38.
- The payout for a winning bet is $1 plus another $11, for a total of $12.
- To find your expected winnings, multiply the probability of winning by the payout:
  (3/38) x $12 = $0.947
- Rounded to the nearest cent, that's $0.95.
So with a $1 bet on three numbers, you can expect to win about $0.95 each time, on average. Over many bets, your total winnings will approach $12.33.

In order to calculate the expected winnings from a $1 bet on three numbers in a roulette wheel, we can follow these steps:
1. Determine the probability of winning the bet. In a roulette wheel with 38 numbers (1-36, 0, and 00), you bet on three numbers, so the probability of winning is 3/38.
2. Determine the amount you would win if your bet is successful. Since the bet pays 11 to 1, you would get back your original $1 plus another $11, for a total of $12.
3. Multiply the probability of winning by the amount you would win. This will give you the expected winnings for a single $1 bet:
(3/38) * $12 = $0.947
So, the expected winnings for a $1 bet on three numbers in a roulette wheel is approximately $0.95 (rounded to the nearest cent).

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In order to find the volume, we will use the next formula

where l is the length, w is the width and h is the height.

In our case

l=28 ft

w=25 ft

h=12 ft

we substitute the data

The volume is 8400 cubic feet

It should be noted that to move Trapezoid ABCD to its new location or shadow, we need to perform a series of rigid transformations, which include translation, rotation, and reflection.

Move Trapezoid ABCD to a new location in the same plane by shifting it horizontally and vertically. We can do this by adding or subtracting a certain number of units from the x and y-coordinates of each vertex.

After translation, Trapezoid ABCD will be at a new location, let's call it Trapezoid A'B'C'D'. This was illustrated on the diagram. Then, it was rotated around a certain point in the plane. We can rotate it clockwise or counterclockwise by a certain angle

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Answer:

y = - 9x + 14

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, 50 ) and (x₂, y₂ ) = (5, - 31 )

m = \(\frac{-31-50}{5-(-4)}\) = \(\frac{-81}{5+4}\) = \(\frac{-81}{9}\) = - 9 , then

y = - 9x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (5, - 31 )

- 31 = - 9(5) + c = - 45 + c ( add 45 to both sides )

14 = c

y = - 9x + 14 ← equation of line

Answer:

The correct answer is

n = 3038

Step-by-step explanation:

Where we have;

We note that 1000! = An even number

Since Even × Even = even

Even × Odd = Even

Also, 7ⁿ is an Odd number since odd × odd = odd

Therefore 7ⁿ will divide 1000! with some fractions as follows;

1000! divided by 7ⁿ

When 7ⁿ = 1000!

log(7ⁿ) = log(1000!) = log(4.02×10²⁵⁶⁷)

n·log(7) = 2567.604

n = 2567.604/(log(7)) = 3038.23

Therefore, the largest integer n such that 7ⁿ divides 1000! = 3038

Which gives, 1000! ÷ 7³⁰³⁸ = 1.5733.

Answer:

70

Step-by-step explanation:

Proportional means in a ratio.

Picking any L/W from the table works. Set that equal to 42/W.

\(\frac{6}{10} =\frac{42}{W}\)

Solve for W.

6W = 42 * 10

6W=420

W=70

Answer:

Because:

Answer:

4•(2+5)^2 -5^2 = 171

Step-by-step explanation:

Do BIDMAS
(brackets, indices, division, multipy, add, sub)

so brackets
4*7^2-5^2
then do the indices
4*49-25
then the multiply
196-25
= 171
Hope this helps

Answer: Brackets => 4 x (7)^2 - 5^2
               Indices/Orders => 4 x 49 - 25

               Multiplication => 196 - 25

               Subtraction => 171

Answer:

x = 83/3

Step-by-step explanation:

1/2(3x - 9) = 37

3x - 9 = 37 x 2

3x - 9 = 74

3x = 83

x = 83/3

Answer: The area of the square pizza box is 324 square inches.

Step-by-step explanation:

The area of the square pizza box is 18 inches x 18 inches = 324 square inches. The area of the circular pizza is π x (8 inches)^2 = 201.06 square inches. The difference between the area of the box and the pizza is 324 square inches - 201.06 square inches = 122.94 square inches. (rounded to the nearest hundredth).

The value of the expression after evaluating it according to the values of c and d is 42.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Since, no expression is given, let us assume that the expression is

c + d / 4

Now we have to evaluate the value of the expression according to the values of c and d,

For that, we will simply put the given values in the expression and solved it accordingly,

Put c = 36 and d = 24 in the expression we assumed,

c + d / 4 = 36 + 24/4

= 36 + 6 = 42

Hence, the value of the expression after evaluating it according to the values of c and d is 42.

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The orthogonal matrix S that satisfies AS = D, where A is the given matrix [0 2][2 0], is:

S = [[-1/√2, -1/3], [1/√2, -2/3], [0, 1/3]]

And the diagonal matrix D is:

D = diag(2, -2)

To find an orthogonal matrix S such that AS = D, where A is the given matrix [0 2][2 0], we need to find the eigenvalues and eigenvectors of A.

First, let's find the eigenvalues λ by solving the characteristic equation:

|A - λI| = 0

|0 2 - λ  2|

|2 0 - λ  0| = 0

Expanding the determinant, we get:

(0 - λ)(0 - λ) - (2)(2) = 0

λ² - 4 = 0

λ² = 4

λ = ±√4

λ = ±2

So, the eigenvalues of A are λ₁ = 2 and λ₂ = -2.

Next, we find the corresponding eigenvectors.

For λ₁ = 2:

For (A - 2I)v₁ = 0, we have:

|0 2 - 2  2| |x|   |0|

|2 0 - 2  0| |y| = |0|

Simplifying, we get:

|0 0  2  2| |x|   |0|

|2 0  2  0| |y| = |0|

From the first row, we have 2x + 2y = 0, which simplifies to x + y = 0. Setting y = t (a parameter), we have x = -t. So, the eigenvector corresponding to λ₁ = 2 is v₁ = [-1, 1].

For λ₂ = -2:

For (A - (-2)I)v₂ = 0, we have:

|0 2  2  2| |x|   |0|

|2 0  2  0| |y| = |0|

Simplifying, we get:

|0 4  2  2| |x|   |0|

|2 0  2  0| |y| = |0|

From the first row, we have 4x + 2y + 2z = 0, which simplifies to 2x + y + z = 0. Setting z = t (a parameter), we can express x and y in terms of t as follows: x = -t/2 and y = -2t. So, the eigenvector corresponding to λ₂ = -2 is v₂ = [-1/2, -2, 1].

Now, we normalize the eigenvectors to obtain an orthogonal matrix S.

Normalizing v₁:

|v₁| = √((-1)² + 1²) = √(1 + 1) = √2

So, the normalized eigenvector v₁' = [-1/√2, 1/√2].

Normalizing v₂:

|v₂| = √((-1/2)² + (-2)² + 1²) = √(1/4 + 4 + 1) = √(9/4) = 3/2

So, the normalized eigenvector v₂' = [-1/√2, -2/√2, 1/√2] = [-1/3, -2/3, 1/3].

Now, we can form the orthogonal matrix S by using the normalized eigenvectors as columns:

S = [v₁' v₂'] = [[-1/√2, -1/3], [

1/√2, -2/3], [0, 1/3]]

Finally, the diagonal matrix D can be formed by placing the eigenvalues along the diagonal:

D = diag(λ₁, λ₂) = diag(2, -2)

Therefore, the orthogonal matrix S is:

S = [[-1/√2, -1/3], [1/√2, -2/3], [0, 1/3]]

And the diagonal matrix D is:

D = diag(2, -2)

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Answer:

$8.50/h

Step-by-step explanation:

I am unsure of the - in the equation. This should be 4h+50+6h+70=M

then we would set the equation equal to the $205

205=4h+50+6h+70

if we simplify we have

205=10h+120

then we would get the h by itself and we get

205-120=10h

85.00=10h

85.00/10=10h/10

8.50=h

If one of the longer sides of the Isosceles triangle is 6.3 centimeters, the length of the base is 3.1 centimeters.

Let's solve the problem step by step:

1. Identify the given information:

  - The triangle is isosceles, meaning it has two equal sides.

  - The two equal sides, labeled "a," are longer than the base, labeled "b."

  - The perimeter of the triangle is 15.7 centimeters.

  - One of the longer sides is 6.3 centimeters.

2. Set up the equation based on the given information:

  Since the triangle is isosceles, the sum of the lengths of the two equal sides is twice the length of the base. Therefore, we can write the equation:

  2a + b = 15.7

3. Substitute the known value into the equation:

  One of the longer sides is given as 6.3 centimeters, so we can substitute it into the equation:

  2(6.3) + b = 15.7

4. Simplify and solve the equation:

  12.6 + b = 15.7

  Subtract 12.6 from both sides:

  b = 15.7 - 12.6

  b = 3.1

5. Interpret the result:

  The length of the base, labeled "b," is found to be 3.1 centimeters.

Therefore, if one of the longer sides of the isosceles triangle is 6.3 centimeters, the length of the base is 3.1 centimeters.

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Answer:

34 1/2

Step-by-step explanation:

The acceleration vector when t = 2, is (-1/4, -12).

option B.

The acceleration vector of the point is calculated as follows;

The position vector of the point at time t = y r(t) = (x(t), y(t)) = (ln(2t), 3 - t³).

The velocity vector is calculated as follows;

v(t) = r'(t)

v(t)  = (dx/dt, dy/dt)

v(t) =  (d/dt(ln(2t)), d/dt(3 - t³))

v(t) = (1/t, -3t²)

Acceleration is change in velocity with time, so the acceleration vector is calculated as follows;

a(t) = v'(t) = (d/dt(1/t), d/dt(-3t²))

a(t) = (-1/t², -6t)

The acceleration vector when t = 2, is calculated as follows;

a(2) = (-1/2², -6(2) )

a(2) = (-1/4, -12)

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The average collection period for accounts receivable in days for Blue Spruce Corp. is approximately 59.9 days.

To calculate the average collection period, we need to determine the average accounts receivable balance. We can do this by adding the beginning and ending accounts receivable balances and dividing the sum by 2. In this case, the average accounts receivable balance is ($82,800 + $45,600) / 2 = $64,200.

Next, we need to divide the net sales by the average accounts receivable balance and multiply the result by 365 (the number of days in a year). This gives us ($624,000 / $64,200) * 365 = 3.579 * 365 ≈ 1,306.135.

Therefore, the average collection period for accounts receivable is approximately 59.9 days. This means it takes Blue Spruce Corp. around 59.9 days, on average, to collect payment from its customers. A lower average collection period is generally preferable, as it indicates quicker cash flow and better liquidity for the company.

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Answer:

\(\frac{1625z^{10}}{x^5}\)

Step-by-step explanation:

\(\frac{13\cdot \:1\cdot \:x^{-5}}{5^{-3}z^{-10}}\)

\(\frac{13x^{-5}}{\frac{1}{125z^{10}}}\)

\(\frac{\frac{13}{x^5}}{\frac{1}{125z^{10}}}\\\)

\(=\frac{13\cdot \:125z^{10}}{x^5\cdot \:1}\)

refine: \(\frac{13\cdot \:125z^{10}}{x^5}\)

multiply the numbers: 12 x 125 =1625

\(=\frac{1625z^{10}}{x^5}\)

Answer:

multiply the numbers: 12 x 125 =1625

Step-by-step explanation:

Mia needs to buy at least 49 sets of knives to ensure the restaurant has enough knives. Inequality is x ≥ 48.2.

Equal does not imply inequality. Typically, we use the "not equal symbol ()" to indicate that two values are not equivalent. But various inequalities are used to compare the values, whether it is less than or larger than.

Let's start by defining the variable x as the number of sets of knives Mia could buy.

Since each set contains 10 knives, the total number of knives that Mia could buy is 10x.

We want the restaurant to have at least 690 knives in total, so we can write the inequality:

10x + 208 ≥ 690

To solve for x, we need to isolate it on one side of the inequality. We can do this by subtracting 208 from both sides:

10x ≥ 482

Finally, we can isolate x by dividing both sides by 10:

x ≥ 48.2

We can't buy a fraction of a set, so we need to round up to the nearest integer. Therefore, Mia needs to buy at least 49 sets of knives to ensure the restaurant has enough knives.

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Part a

\(-1 \frac{1}{4} \times 1=-1 \frac{1}{4}\)

Part b

\(-1 \frac{1}{4} \div 1 =-1 \frac{1}{4}\)

The statement "Some twins are sisters. All twins are siblings. Therefore, some siblings are sisters" is true.

Usually an illustration of a substantial deductive contention in which the conclusion takes coherently from the premises.

The primary introduction states that a few twins are sisters, which suggests that they are female twins. The moment preface states that all twins are kin, which implies that they are related by blood.

In this manner, on the off chance that a few twins are sisters and all twins are kin, it consistently takes after that a few kin are sisters.

It is imperative to note that the conclusion isn't essentially genuine for all kin, as a few kin may be brothers or mixed-gender twins. Be that as it may, the contention is still consistently substantial since the conclusion takes after coherently from the premises 

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The statement is false because the element 2 does not meet the criteria of being an integer greater than 13.

To determine if {2} is an element of the set of integers greater than 13, we need to analyze the statement.

The set of integers greater than 13 can be represented as {x | x ∈ ℤ, x > 13}. This set contains all integers that are greater than 13.

Now, let's check if the element 2 is in this set. Since 2 is not greater than 13, it does not satisfy the condition x > 13. Therefore, {2} is not an element of the set of integers greater than 13.

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Answer:

d

Step-by-step explanation:

Answer

5.9

12.95*2=25.9

25.9-20

Answer:

True statement: B) m∠STP=90°

Answer:

∠C ≈ 11.978°

Step-by-step explanation:

sin (∠C)/5 = sin (95°)/24

=> sin (∠C) = 5 × sin (95°) ÷ 24

=> ∠C = \(sin^{-1}\)(5 × sin (95°) ÷ 24)

=> ∠C ≈ 11.978°

The type of polyhedron that can be assembled from this net is a triangular prism because if you assemble this net you get a figure like this

Answer:

\(188.6\) cubic feet

Step-by-step explanation:

Let r, h denotes radius and height of the tree's trunk.

Radius of the tree's trunk = 2 feets

Height of the tree's trunk = 15 feets

The tree's trunk is in the shape of a cylinder.

Volume of cylinder (tree's trunk) \(=\pi r^2h\)

Put \(r=2\,,\,h=15\)

Volume of the tree's trunk \(=\pi (2)^2(15)=60\pi\) cubic feet

Put \(\pi=\frac{22}{7}\)

So,

Volume of the tree's trunk \(=60(\frac{22}{7})=\frac{1320}{7}=188.6\) cubic feet