60. the word spelled humor by a person from the us is spelled humour by a person from britain. at a party, two-thirds of the guests are from the us and one-third from britain. a randomly chosen guest writes the word, and a letter is chosen at random from the word as written. a. if this letter is a u, what is the probability that the guest is from britain? b. if the letter is an h, what is the probability that the guest is from britain?

Answer:

5.5

Step-by-step explanation:

Answer:

5.5

Step-by-step explanation:

Answer:

that is 5/4 to the lowest Terms

Answer:

1.25 or 1 1/4

Step-by-step explanation:

Used a calculator.

The ratio of basketballs to baseballs is 5 : 4 means out of 9 balls there are 5 basketballs and 4 baseballs.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

Written as quantity₁ ∝ quantity₂ or quantity₁ = kquantity₂

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

quantity₁ ∝ 1/quantity₂.

quantity₁ = K.1/quantity₂.

Given, The ratio of basketballs to baseballs is 5 : 4.

this means out of 9 balls there is 5 basketballs and 4 baseballs.

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The given differential equation is y dy = e^(7x-y) + e^(6x-y) dx. We need to find an implicit general solution to this equation., the implicit general solution to the given differential equation is: y^2/2 + e^(y-x) = (1/7)e^(7x) + (1/6)e^(6x) + C.

To solve the differential equation, we can rearrange the terms as follows:

y dy + e^(y-x) dy = e^(7x) + e^(6x) dx.

Integrating both sides with respect to their respective variables, we obtain:

∫(y dy + e^(y-x) dy) = ∫(e^(7x) + e^(6x) dx).

Simplifying the integrals, we have:

(y^2/2 + e^(y-x)) = (1/7)e^(7x) + (1/6)e^(6x) + C.

Thus, the implicit general solution to the given differential equation is:

y^2/2 + e^(y-x) = (1/7)e^(7x) + (1/6)e^(6x) + C.

This equation represents the family of solutions to the given differential equation, where C is an arbitrary constant.

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The number of centimeters in an inch is approximately 2.54, while the number of inches in a centimeter is approximately 0.39.

Using the customary ruler, the length of the side of the wooden block is measured as 1 3/32 inches.

This means the length is slightly over 1 inch but less than 1 1/8 inches.

To estimate one place value beyond the ruler's gradations, we can round the measurement to 1.1 inches.

Using the metric ruler, the length is measured as 2.78 centimeters. This measurement provides a more precise value in the metric system.

To calculate the ratio between centimeters and inches, we find that there are approximately 2.54 centimeters in an inch.

This means that for every 1 inch, there are approximately 2.54 centimeters.

Conversely, there are approximately 0.39 inches in a centimeter.

This means that for every 1 centimeter, there are approximately 0.39 inches.

In conclusion, the length of the wooden block's side is measured as 1.1 inches using the customary ruler and 2.78 centimeters using the metric ruler.

The conversion ratios between centimeters and inches are approximately 2.54 cm/inch and 0.39 inch/cm, respectively.

These ratios can be used to convert measurements between customary and metric systems.

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Answer:

184 boxes

Step-by-step explanation:

8648/47 = 184

Answer:

d is the answer for the question

Answer:

260 mi/hr

Step-by-step explanation:

You just add 250 miles to 10 miles because in the question it said that she increased her speed by 10 miles per hour. so we add those together.

I really hope that this is correct.

Let:

x = total inches of trim he needs to cut

n = Number of pieces he needs to cut

a = length of the pieces

so:

Answer: The distance around the edge of a circle

Step-by-step explanation:

Answer: experimental

Step-by-step explanation:

Experimental research design refers to a research that is conducted with a scientific approach whereby two sets of variables are used. It adheres to the scientific research design.

An experimental research design consist of an hypothesis, a variable which the researcher can manipulate and variables which can be measured. Based on the information given, the experimental research design is used.

Answer:

$54.01

Step-by-step explanation:

All you have to do is $300.00-$245.99 .

Answer:

I can't graph this but I will do my best to explain.

From 0 go right once, then go down 4. that should be where you would put the dot on the graph.

Step-by-step explanation:

Hope this helps!

Answer: 11/3

Step-by-step explanation:

Answer:

He needs 1 and 1/3 cups of pinapple juice when he uses 3 cups of orange juice.

Step-by-step explanation:

Orange Juice:

3 cups / 3/4 cups = 12/3 = 4

Pineapple Juice:

1/3 × 4 = 4/3 cups= 1  1/3 cups

The y - intercept, based on the points of the graph, can be found to be 0

To find the y - intercept, you can use the slope - intercept equation which is:

y = mx + b

Where :

m = slope

b = y - intercept

Solve for the slope using ( 2, 8 ) and ( 14, 56 ) to be:

= ( Y2 - Y1 ) / ( X 2 - X 1 )

= ( 56 - 8 ) / ( 14 - 2 )

= 4

Given the slope as 8, and the point ( 2, 8 ), the y - intercept would be:

y = mx + b

8 = 4 ( 2 ) + b

b = 8 - 8

b = 0

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3x-5y-z+13.

it is simplified all the way there is nothing to add

Answer:

Angle C = 60°

Step-by-step explanation:

Since the total degree of a triangle is 180°, and to find x, will have to divide it 180° by 6 because there is a total of 6x in the triangle.

x = 180° ÷ 6 = 30°

Angle C = 2x = 60°

Answer:

D

Step-by-step explanation:

since we have a non decimal bigger than 0.1 we know exponent is positive, so we move count how many spaces we move from the last number and we get 9.01*10^5

Yes, it is True. If we change the constraint quantity to a value outside the range of feasibility for that constraint quantity, the shadow price will change.

The shadow price is the marginal value of the constraint quantity, and it represents the increase in the objective function per unit increase in the constraint quantity. If the constraint quantity is changed to a value outside the range of feasibility, the shadow price will change because the relationship between the objective function and the constraint quantity has changed. The change in shadow price will depend on how the constraint affects the objective function, but it is typically that the shadow price will increase as the constraint becomes more binding.

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Answer:

36 minutes is the highest

Step-by-step explanation:

The equation that represents the sentence "28 is the quotient of a number and 4" is 28 = n/4.

In the given sentence, "28 is the quotient of a number and 4," we can break down the sentence into mathematical terms. The term "quotient" refers to the result of division, and "a number" can be represented by the variable "n." The divisor is 4.

1) Define the variable.

Let's assign the variable "n" to represent "a number."

2) Write the equation.

Since the sentence states that "28 is the quotient of a number and 4," we can write this as an equation: 28 = n/4.

The equation 28 = n/4 represents the fact that the number 28 is the result of dividing "a number" (n) by 4. The left side of the equation represents 28, and the right side represents "a number" divided by 4.

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Answer:

B. "R is 85% of the original cost."

Step-by-step explanation:

The given equation is P - 0.15P = R, where P is the original cost of the shirt and R is the discounted price that Brandon paid.

Simplifying the equation, we get:

0.85P = R

Dividing both sides by P, we get:

0.85 = R/P

Therefore, the discounted price R is 85% of the original cost P.

So, the answer is (B) "R is 85% of the original cost."

To rotate a coordinate system onto another coordinate system using matrices, you can follow these steps:

1. Determine the angle of rotation: First, determine the angle by which you want to rotate the coordinate system. This angle will be used to create a rotation matrix.

2. Create a rotation matrix: The rotation matrix is a 2x2 or 3x3 matrix that represents the transformation of points in the original coordinate system to points in the rotated coordinate system. The elements of the rotation matrix can be determined based on the angle of rotation.

For a 2D rotation, the rotation matrix is:

 \(\[ \begin{matrix} cos\theta & -sin\theta \\ sin\theta & cos\theta \end{matrix} \]\)

For a 3D rotation around the x-axis, y-axis, and z-axis, the rotation matrices are:

\(Rx = \left[\begin{array}{ccc}1&0&0\\0&cos\theta&-sin\theta\\0&sin\theta&cos\theta\end{array}\right]\)

\(Ry = \left[\begin{array}{ccc}cos\theta&0&sin\theta\\0&1&0\\-sin\theta&0&cos\theta\end{array}\right]\)

\(Rz = \left[\begin{array}{ccc}cos\theta&-sin\theta&0\\sin\theta&cos\theta&0\\0&0&1\end{array}\right]\)

Note that θ represents the angle of rotation.

3. Apply the rotation matrix: To rotate a point or a set of points, multiply the coordinates of each point by the rotation matrix. This will yield the coordinates of the points in the rotated coordinate system.

For example, if you have a 2D point P(x, y), and you want to rotate it by angle θ, the rotated point P' can be obtained by multiplying the column vector [x, y] by the rotation matrix:

  [ x' ]  =  [ cosθ  -sinθ ]   [ x ]

  [ y' ] =   [ sinθ   cosθ  ] * [ y ]

Similarly, for 3D rotations, you would multiply the column vector [x, y, z] by the appropriate rotation matrix.

Rotating a coordinate system onto another coordinate system using matrices involves the use of rotation matrices. These matrices define how points in the original coordinate system are transformed to points in the rotated coordinate system.

The rotation matrices are constructed based on the desired angle of rotation. The elements of the matrix are determined using trigonometric functions such as cosine and sine. The size of the rotation matrix depends on the dimensionality of the coordinate system (2D or 3D).

To apply the rotation, the coordinates of each point in the original coordinate system are multiplied by the rotation matrix. This matrix multiplication yields the coordinates of the points in the rotated coordinate system.

By performing this transformation, you can effectively rotate the entire coordinate system, including all points and vectors within it, onto the desired orientation defined by the angle of rotation.

Matrix transformations provide a mathematical and systematic approach to rotating coordinate systems, allowing for precise control over the rotation angle and consistent results across different coordinate systems. They are widely used in computer graphics, robotics, and various scientific and engineering fields.

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A drill-down report is a type of report that displays a greater level of detail as the user navigates through it.

A drill-down report is a type of report that allows the user to access a greater level of detail as they navigate through it. It is an interactive report that presents a summary of data initially and then allows the user to drill down to more detailed information.

The report provides a visual representation of data that can be explored at different levels of granularity, providing a deeper understanding of the underlying information. Drill-down reports are useful for decision-making because they provide insights into the root causes of issues or trends.

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Answer:

b

Step-by-step explanation:

Calculation the variance and standard deviation of the discrete random variable is given by σ² = \(\frac{\sum\limits^n_1{(x_{i}-\bar{x}) } \,}{n-1}\) and standard deviation is the square root of Variance 'σ' = \(\sqrt{\frac{\sum\limits^n_1{(x_{i}-\bar{x}) } \,}{n-1}}\).

As given in the question,

Therefore , the variance and standard deviation of the discrete random variable is calculated with the help of the following formulas:

Variance 'σ²' = \(\frac{\sum\limits^n_1{(x_{i}-\bar{x}) } \,}{n-1}\)  and standard deviation  'σ' = \(\sqrt{\frac{\sum\limits^n_1{(x_{i}-\bar{x}) } \,}{n-1}}\).

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The prefix length notation for the subnet mask 255.255.255.224 is /27.

The length of something refers to its size or length measured from end to end. In other words, it is the larger of an object's higher two or three geometric dimensions. For instance, a rectangle's dimensions are determined by its length and width.

The prefix-length defines a range of devices. It is represented by a slash (/) after an integer between 1 and 128.

There are 27 bits in the subnet mask 255.255.255.224 that are set to 1, giving it a prefix length of /27. Hence, /27 is used to represent the prefix length for the subnet mask 255.255.255.224.

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cosine 122.2 = -0.532876276......

The coordinates of the images of the points are B'(x, y) = (0, 2), C'(x, y) = (3, 4), Z'(x, y) = (4, 3) and X'(x, y) = (4, 1), respectively.

In this problem we find four points set on Cartesian plane, each of which has to be transformed by using the following transformation rule about the origin:

(x', y') = (x · cos θ - y · sin θ, x · sin θ + y · cos θ)

Where:

(x, y) - Coordinates of the original point.

θ - Angle of rotation, in degrees.

If we know that B(x, y) = (- 2, 0), C(x, y) = (- 4, 3), Z(x, y) = (- 3, 4), X(x, y) = (- 1, 4) and θ = 90°, then the coordinates of the resulting point:

B'(x, y) = (- 2 · cos (- 90)° - 0 · sin (- 90°), - 2 · sin (- 90°) + 0 · cos (- 90°))

B'(x, y) = (0, 2)

C'(x, y) = (- 4 · cos (- 90°) - 3 · sin (- 90°), - 4 · sin (- 90°) + 3 · cos (- 90°))

C'(x, y) = (3, 4)

Z'(x, y) = (- 3 · cos (- 90°) - 4 · sin (- 90°), - 3 · sin (- 90°) + 4 · cos (- 90°))

Z'(x, y) = (4, 3)

X'(x, y) = (- 1 · cos (- 90°) - 4 · sin (- 90°), - 1 · sin (- 90°) + 4 · cos (- 90°))

X'(x, y) = (4, 1)

Finally, we proceed to graph the locations of the points, both original and resulting, by means of a graphing tool.

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