Are these ratio proportional 4/9 and 11/6

We have to calculate the expected value for Alyssa playing roulette.

The expected value is calculated as the weighted sum of all the possible the outcomes, weighted by the probabilities of occurrence of this outcomes.

Then, we start by listing all the outcomes:

1) One of the numbers of the block comes up.

This will happen with a probability of 4 out of 38 (P=4/38). NOTE: The total numbers of the roulette are 38.

The net prize, that is excluding the $5 she bets, is $40.

2) None of the numbers of the block comes up.

That will happen with probability 34 out of 38 (P=34/38).

The net prize, as she will lose the $5 she bets, is -$5.

The expected value can be calculated as:

The expected value for Alyssa is -$0.26.

Answer:

Step-by-step explanation:

The sum of complementary angles is 90°.

(2x+18) + (6x+8) = 90

8x+26 = 90

x = 8°

B = 6x+8° = 56°

A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.

To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.

For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:

150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms

Therefore, 150 pounds is approximately equal to 68.0388 kilograms.

In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.

It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.

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After considering the given data we conclude that the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).

We have to evaluate the center and angle of rotation to explain the clockwise rotation of the line segment.

So in the first step, we can evaluate the midpoint of the line segment JK and the midpoint of the line segment J'K'. we can calculate the vector connecting the midpoint of JK to the midpoint of J'K'. This vector is (4-1, 1-(-4) = (3,5)

The center of rotation is the point that is equidistant from the midpoints of JK and J'K'. We can evaluate this point by finding the perpendicular bisector of the line segment connecting the midpoints.

The slope of this line is the negative reciprocal of the slope of the vector we just found, which is -3/5. We can apply the midpoint formula and the point-slope formula to evaluate the equation of the perpendicular bisector:

Midpoint of JK: (1, -4)

Midpoint of J'K': (4, 1)

The slope of the vector: 3/5

(x₁ + x₂)/2, (y₁ + y₂) /2

Point-slope formula: y - y₁ = m(x - x₁)

Perpendicular bisector: y - (-4) = (- 3/5)(x - 1)

Applying simplification , we get: y = (- 3/5)x - 1.2

To evaluate the center of rotation, we need to find the intersection point of the perpendicular bisector and the line passing through the midpoints of JK and J'K'. This line has slope ( 3 - (4)) /(4 - 1) = 7/3 and passes through the point (4, 1). Applying the point-slope formula, we can evaluate its equation:

y - 1 = (7/3)( x - 4)

Apply simplification , we get: y = (7/3)x - 17/3

To evaluate the intersection point, we can solve the system of equations:

y =(- 3/5)x - 1.2 = (7/3)x - 17/3

Evaluating for x and y, we get x = -6 and y = -1.

Therefore, the center of rotation is (-6, -1).

√( 4 - 1)² + ( 1 - ( - 4))²) = 5√(2)

Distance between image points and center of rotation

√( ( 6 - (-6))² + ( 3 - (-1))² = 13

The ratio of these distances gives us the scale factor of the transformation, which is 13/√2).

The angle of rotation is negative as the image moves clockwise direction. We can apply the inverse tangent function to find the angle of the vector connecting the midpoint of JK to the midpoint of J'K':

Angle of vector: arctan(5/3) = 59.04 degrees

Therefore, the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).

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Answer:

k = -2

j = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

j + k = 3

j - k = 7

Step 2: Rewrite Systems

j - k = 7

Step 3: Redefine Systems

j + k = 3

j = 7 + k

Step 4: Solve for k

Substitution

Step 5: Solve for k

Divide money by pounds,

9/19

Price per pound of flour

$0.473

Answer:

cacluate it 19×9= ? hope thid helpeddddd

Step-by-step explanation:

5/6 x y = 30

5/6y=30

6 x 5/6y= 6 x 30

5y=180

5y/5=180/5

y=36

Answer:

Step-by-step explanation:

25+125+(-5x)=180 degree(sum of interior angles of a triangle is 180 degree)

150-5x=180

-5x=180-150

x=30/-5

x=-6

Latrina will serve 640 hors d’oeuvres to the 240 people at her wedding .

In the question ,

it is given that

At Latrina's wedding

number of  hors d’oeuvres offering that 3 people will get = 8 offering

So, the number of offering of hors d’oeuvres that 1 person will get = 8/3  .

we need to find that

how many hors d’oeuvres will she serve for 240 people .

So ,

the number of  hors d’oeuvres offering that 240 people will get =(8/3)×240

= 8 × 80

= 640

Therefore , Latrina will serve 640 hors d’oeuvres to the 240 people at her wedding  .

The given question is incomplete , the complete question is

Latrina is planning to serve hors d’oeuvres at her wedding. She plans on offering 8 hors d’oeuvres for every 3 people. If she has invited 240 people to the wedding, how many hors d’oeuvres will she serve?

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Answer:

Step-by-step explanation:

5

Answer:

/

dont subtract 3 from -7m so it would be -7m + 3

7m

/

= m = 3

Answer:

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

it is the middle value after you have put the numbers in numerical order

Answer:

4:18 8:36 1:4.5

Step-by-step explanation:

Answer:

4:18, 6:27, 8:36, 10:45, 12:54, etc.

Step-by-step explanation:

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Answer:

The first such year is 2002.

Step-by-step explanation:

For them to be the same upside down as right side up, the first and last digit have to be the same.

Since we are in the 21st century, and the years begin with 2, then have to end with 2. So

2xx2.

Numbers that look the same upside down as right side up are: 0,1,2,5,8. So, the first possible year is:

2002

To find the value of (f o g)' at a given value, you first need to understand the concept of composite functions and the chain rule of differentiation. Let's break it down step by step.

To find the value of (f o g)' at a given value, you need to evaluate g(x) and f(x), find their derivatives, and use the chain rule to find the derivative of (f o g) at the given value. It is important to understand the concepts of composite functions and the chain rule to be able to solve problems involving these concepts.

What are composite functions? Composite functions are functions that are formed by composing two or more functions. The notation used to denote composite functions is (f o g)(x), which means that the output of function g is used as the input for function f. In other words, we first evaluate g(x), and then use the result as the input for f(x).

What is the chain rule of differentiation? The chain rule of differentiation is a method used to find the derivative of composite functions. It states that if a function is composed of two or more functions, then its derivative can be found by taking the derivative of the outer function and multiplying it by the derivative of the inner function.

To find the value of (f o g)' at a given value, we need to follow these steps:1. Find g(x) and f(x)2. Find g'(x) and f'(x)3. Evaluate g(x) at the given value4. Use the chain rule to find (f o g)' at the given value

step 1: Find g(x) and f(x)Let's say that we have two functions: g(x) = x^2 + 3x + 1 and f(x) = sqrt(x). To find (f o g)(x), we first need to evaluate g(x) and then use the result as the input for f(x). Therefore, (f o g)(x) = f(g(x)) = sqrt(x^2 + 3x + 1)

Step 2: Find g'(x) and f'(x)To find g'(x), we need to take the derivative of g(x) using the power rule and the sum rule. Therefore, g'(x) = 2x + 3To find f'(x), we need to take the derivative of f(x) using the power rule and the chain rule. Therefore, f'(x) = 1/2(x)^(-1/2)

Step 3: Evaluate g(x) at the given valueSuppose we want to find (f o g)' at x = 2. To do this, we need to first evaluate g(x) at x = 2. Therefore, g(2) = 2^2 + 3(2) + 1 = 11

Step 4: Use the chain rule to find (f o g)' at the given value now we can use the chain rule to find (f o g)' at x = 2. Therefore, (f o g)'(2) = f'(g(2)) * g'(2) = 1/2(11)^(-1/2) * (2)(3) = 3/sqrt(11)

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Answer:

\(x^4-x^3+3x^2-x+6\)

Step-by-step explanation:

Multiply each term in the first equation by all the terms in the second and add them together.

Answer:

The first value of a relation is an input value and the second value is the output value. A function is a specific type of relation in which each input value has one and only one output value.

An input is an independent value, and the output value is the dependent value, as it depends on the value of the input.

Answer:

-2

Step-by-step explanation:

Find two points which lie on the line :

Formula for slope (m) :

Answer: \(-2\)

Step-by-step explanation:

\(Slope:m=0\)

\(y=mx+b\)

\(-2*10^0\)

\(-2~is~a~rational~number\)

\(\frac{180}{pi}\)°

Answer:

Step-by-step explanation:

a + c = 257

12a + 8c = 2576

-12a - 12c = -3084

12a  + 8c = 2576

-4c = -508

c =  127 children tickets

a + 127 = 257

a = 130 adult tickets

Under the units-of-activity method, the depreciation expense per mile for Bus #3 is $0.4616.

The units-of-activity method is one of the depreciation methods in use.

Under the units-of-activity method, the depreciation expense per unit is determined by dividing the depreciable amount by the total units of activity.

The depreciation amount (the value of the asset subject to depreciation) is the net of the total cost less the salvage value.

Depreciable amount of Bus #3 = $57,700 ($66,500 - $8,800)

Expected total miles for Bus #3 = 125,000

Depreciation expense per mile for Bus #3 = $0.4616 ($57,700 ÷ 125,000)

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Bus    Acquired    Cost    Salvage    Useful Life     Depreciation
                                          Value         in Years          Method

1          1/1/12      $99,100   $7,900           4             Straight-line

2         1/1/12      128,000     11,000          4             Declining- balance

3         1/1/13       66,350      8,800          5             Unit-of-activity

The value of f(5) is positive

At f(x) = 0, the value of x is 1

For the interval f(x) ≤ 0, the values of x are [-2, 1]

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have

f(5) = 1

This means that f(5) is positive

Also, we have

When f(x) = 0, the value of x is 1

For the interval f(x) ≤ 0, we have the values of x to be

-2 ≤ x ≤ 1

When represented as an interval, we have

[-2, 1]

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The pair that support Angle-Side-Angle Postulate (ASA) be used to prove that △ABC≅△XYZ is option B

Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules

examples of these rules are

The problem requires the prove by Angle - Side- Angle = ASA to ensure that the the triangles are congruent

The Angle - Side - Angle = ASA have it that the two triangles being compared should have their two angles and the included side being equal

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Answer:

Mr. Harry has 5 children.... I know what you were going for...

Answer:

\(\sqrt[9]{3}\)

Step-by-step explanation:

The screenshot is proof that it’s the correct answer, because I used a calculator.

By using studying graph of function, the correct option is the fourth option

What is a function

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here,

For x \(\geq\) 1, (Solid dot is given, so equality is maintained here),

At x = 1, y = -1.

This happens for the function y = -2x + 1

So for x \(\geq\) 1, the function is y = -2x + 1

Now for x < 1, (Hollow dot is given, so the equality will not be maintained here ),

At x = 1, y = 1

This happens for y = -x + 2

So for x < 1, the function is y = -x + 2

So the function is

y = -2x + 1, x \(\geq\) 1,

y = -x + 2, x < 1

Fourth option is correct

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The equivalent expression to the expression (m-²n-3)-4 is  (m-²n- 7).

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression is (m -² n - 3) - 4. The expression will be solved as below,

E = (m -² n - 3) - 4

E = (m -² n - 3 - 4 )

E = (m -² n - 7

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