find four consecutive multiples of 4 such that twice he sum of the least and greatest exceeds three times the least by 32.

The probability is 1/24.

There are 4 meals and 4 people, so there are 4! = 24 ways to serve the meals to the people.

However, only one of these ways is correct, so the probability that the waiter will serve the correct meal to the correct person is:

P(correct) = 1/24

This is because there is only one way to serve the meals that matches the correct combination of alphabets used in Sonia.

Therefore, the probability that the waiter will serve the correct meal to the correct person is 1/24.

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For circular motion on a circle of radius r, linear speed equals angular speed divided by r. This statement is false.

What is angular speed?

The definition of angular speed is the rate at which angular displacement changes, and it is written as follows -

ω = θ/t

where θ is the angular displacement, t is the time and ω is the angular speed.

The statement says that for circular motion on a circle of radius r, linear speed equals angular speed divided by r.

Consider that an object moves around a circle of radius r at a constant speed v.

If s is the distance travelled in time t around the circle then linear speed v is defined as v = s/t.

Also if θ is the angle swept out by this object in time t then the angular speed is defined as ω = θ/t.

Thus, there is some relationship between linear speed and angular speed -

Linear speed = v = s/t

= rθ/t = r(θ/t) = rω

where is ω measured in radians per unit time and for a circle of radius r, a central angle of radians subtends an arc whose length s is s = rθ.

Hence, notice that linear speed is equal angular speed multiplied, not divided, by r.

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You will need 5.2 pounds of candy from each candy. The reason is because you have 2 kinds of candy and 10.4 pounds so divide 10.4 by 2 and you get 5.2

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Compounded continuously the balance grows at a continuous rate of 1.7%.

What is compound interest ?

The model used for continuous compounding is

 f(t) = Pe^(rt)

where P is the principal amount, and r is the interest rate being compounded. Assuming a typo in your given equation, you have

 f(t) = 1000·e^(0.017t)

Matching the various parts of the equation, we see that P = 1000 and r = 0.017 = 1.7%.

Therefore, the balance grows at a continuous rate of 1.7%.

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The derivative of the function f(t) = 3^(7t)/ t is 3^(7t)(7ln(3)t - 1) / t^2.  

Given function is f(t) = 3^(7t)/ t

To find the derivative of the function, we have to use the formula of quotient rule.

The formula is given as,If y = u/v, then dy/dx = (v du/dx - u dv/dx) / v²

f'(t) = [(t)(d/dt)(3^(7t)) - (3^(7t))(d/dt)(t)] / t^2

The first term requires the chain rule:

(d/dt)(3^(7t)) = (3^(7t))(d/dt)(7t) = (3^(7t))(7ln(3))

Substituting into the formula, we get:

f'(t) = [(t)(3^(7t))(7ln(3)) - (3^(7t))] / t^2

     = [3^(7t)(7ln(3))(t) - 3^(7t)] / t^2

Simplifying, we get:

f'(t) = 3^(7t)(7ln(3)t - 1) / t^2

Therefore, the derivative of the function f(t) = 3^(7t)/t is:

f'(t) = 3^(7t)(7ln(3)t - 1) / t^2

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Answer:

2One-fifteenth

Step-by-step explanation:

\(3\frac{13}{15} - 1\frac{4}{5}\)

\(2\frac{13 - 12}{15}\)

2 \(\frac{1}{15}\)

The market price of the watch after a discount of 10% is  $3500   .

In the question ,

it is given that

the price at which the trader sold the wrist watch = $3150

the amount of discount given by trader = 10% ,

we need to find the market price of the watch ,

let the market price of the watch be "x" .

so , the formula that can be used to calculate the market price is

selling price = market price - (discount percent)×(market price)

Substituting the values , we get

3150 = x - 10% of x

3150 = x - 0.10x          ....because 10% = 0.10

(1 - 0.10)x = 3150

0.90x = 3150

Dividing both sides by 0.90 , we get

x = 3150/0.90

x = 3500

market price is $3500  .

Therefore , The market price of the watch after a discount of 10% is  $3500   .

The given question is incomplete , the complete question is

A trader sold a wrist watch for $3150 after giving a 10% discount. Find the marked price of the watch ?

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a) The cost of an oil change, brake pads and radiator flush are $59.99, $40 and $10 respectively

b) He can expect to pay $50

The different combinations available are:

Oil change and radiator flush = $69.99

Brake pads and oil change = $99.99

Oil change, radiator flush and brake pads = $139.99

So, equating the above equations we get the individual prices of the items:

Oil change = $59.99

Brake pads = $40

Radiator flush = $10

Part a:

The price of an oil change is $59.99

The cost of brake pads replacement is $40

The price of a radiator flush is $10

Part b:

Brake pads replacement costs $40

Radiator flush costs $10

So, he can expect to pay $50 for the work

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Answer:

20

Step-by-step explanation:

skip count by 2

Answer:

3%

Step-by-step explanation:

11.18 x .03 = .33

Step-by-step explanation:

x/y×26=65

26x/y/26=65/26

x/y=65÷26

x/y=2.5

Answer:

y - 9 = -14 (x + 2)

Step-by-step explanation:

Point-slope form --> y - y1 = m ( x - x1)

slope = -14

y1 = 9

x1 = -2

Let's put the values all together:

y - 9 = -14 (x - - 2)

y - 9 = -14 (x + 2) ---> final answer

Answer:

It's option B.

Step-by-step explanation:

y - 9 = -14(x + 2)

Answer: 13

Step-by-step explanation:

z-score is x ≤0.6 on the final exam corresponds to p is 0.3974 (x ≤0.6).

For the stated question-

The z-score is estimated as-

z = (x - μ)/σ

z = (0.6 - 60)/225

z = -0.264

P(x ≤0.6) = (z ≤ -0.264)

p-value = 0.3974

Thus, z-score is x ≤0.6 on the final exam corresponds to p is 0.3974 (x ≤0.6).

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Answer:

63 degree

Step-by-step explanation:

The total corner of the TV is 90 degrees, so 90-27=63 degrees

Answer:

half

Step-by-step explanation:

The max margin classifier, also known as the Support Vector Machine (SVM), can be formulated as an optimization problem:

Maximize: γ

Subject to:

yi(w·xi + b) ≥ γ, for all training examples (xi, yi)

||w|| = 1

Here, xi represents the feature vector of the training example, yi is the corresponding label (+1 or -1), w is the weight vector, b is the bias term, and γ represents the margin.

The SVM classifier aims to find the optimal hyperplane that maximizes the margin (γ) between the positive and negative training examples while satisfying the constraint that all examples are correctly classified. The margin is defined as the perpendicular distance from the hyperplane to the nearest training example.

To solve for the optimal SVM classifier, we need to find the values of w and b that maximize the margin while satisfying the constraints. This can be achieved through various optimization techniques such as quadratic programming or gradient descent.

The optimal solutions will be the hyperplane and margins that separate the positive and negative examples with the maximum possible margin. The value of the optimal w will depend on the specific dataset and the result of the optimization process. The optimal w represents the normal vector to the hyperplane, indicating the direction of separation between the two classes. The exact value of w will vary based on the dataset and its distribution, and cannot be determined without solving the optimization problem specific to the dataset at hand.

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The value of side length w is 13.75 .

Given right angled triangle,

Perpendicular = w

Hypotenuse = 17

Angle of triangle = 54°

So,

According to the trigonometric ratios,

tanФ = p/b

cosФ = b/h

sinФ = p/h

By using sinФ,

sinФ = p/h

sin 54° =  w/ 17

0.809 = w/17

w = 13.75 .

Thus after correction w will be 13.75

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On solving the provided question, we can say that the function's value

\(limx→4+f(x)=6lim⁡x→4+f(x)=6\)

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

function's value will be -

limx→4+f(x)

=6lim⁡x→4+f(x)

=6

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Complete question is: The table above gives values of the function fat selected values of \($\mathrm{x}$\). Which of the following statements must be true?

\($$\text { A } \lim _{x \rightarrow 2} f(x)=3$$\)

\($$B \lim _{x \rightarrow 2} f(x)=8$$\)

\(C\ $\lim _{x \rightarrow 2} f(x)$ does not exist.\)

\(D\ $\lim _{x \rightarrow 2} f(x)$\) cannot be definitively determined from the data in the table.

Since the output of the sigmoid function is 0.64, the predicted probability of the observation being malignant is 0.64. We need to set a threshold probability to classify the observation as malignant or benign.

If we set the threshold probability at 0.5, the observation would be classified as malignant, since the predicted probability (0.64) is greater than the threshold probability. However, the choice of threshold probability depends on the specific problem and the costs associated with false positives and false negatives. So, the predicted category would be malignant if the threshold probability is set at 0.5.

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To make any conclusions about the variability of the two datasets.

a variable is a symbol or letter that represents a value that can change or vary. Variables are used to express mathematical relationships and equations, and they can take on different values depending on the context.

by question.

No, we cannot conclude that there is less variability in the number of mystery books based solely on the mean number of mystery books being less than the mean number of adventure books. The variability of the data is captured by the standard deviation or variance, and we would need this information to make any conclusion about the variability of the two types of books. It's possible that there is less variability in the number of mystery books,

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Answer:

y = 3x + 5

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 )

Here m = 3 , then

y = 3x + c ← is the partial equation

To find c substitute (1, 8 ) into the partial equation

8 = 3 + c ⇒ c = 8 - 3 = 5

y = 3x + 5 ← equation of line

The number of inches of the ribbon that Rina needs for putting ribbon along the outside edge of the board is 120 inches.

Given that,

A classroom board is 32 inches wide and 28 inches tall.

Rina is putting ribbon along the outside edge of the board.

We know that classroom board is in the shape of a rectangle.

Length of the board = 32 inches

Width of the board = 28 inches

We have to find the perimeter of the board.

Perimeter = 2 (length + width)

                = 2 (32 + 28)

                = 120 inches

Hence the total length of the ribbon needed is 120 inches.

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Answer:

its b

Step-by-step explanation:

got it right on edge

The volume of the metal in the cylinderical pipe given the dimensions of the larger and smaller cylinders is 271.30 mm³.

A cylinder is a three-dimensional object. It is a prism with a circular base.

Volume of a cylinder = nr^2h

Where:

The volume of the metal in the cylinderical pipe = 3.14 x 10 x [(8.4/2)² - 6/2)²] = 271.30 mm³

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Answer:

I believe that it is 34

Step-by-step explanation:

Answer:

B.   3,158

Step-by-step explanation:

h(x) = -49x − 125

Let x = -67

h(-67) = -49(-67) − 125

          =3283-125

          = 3158

Answer:

Answer B

Step-by-step explanation:

To find the value of h(-67) for the function h(x) = -49x - 125,

we substitute -67 for x in the function and evaluate it.

h ( - 67 ) = - 49 ( - 67 ) - 125

Now we can simplify the expression:

h ( -67 ) = 3283 - 125

h ( -67 ) = 3158

Answer:

Length of leg ⇒ 12

Step-by-step explanation:

Knowing this is a right angle triangle, let us apply Pythagorean Theorem to solve for the length of this other leg, which we can assign as x;

x^2 + 5^2 = 13^2 ⇒ square 5 and 13,

x^2 + 25 = 169 ⇒ subtract 25 from either side of equation,

x^2 = 144 ⇒ Take square root on either side,

Solution; Length of leg ⇒ 12

To draw the horizontal alignment for the curve on that shape on 12D, follow these steps:

Step 1: First of all, we have to determine the horizontal alignment for the curve. The horizontal alignment consists of a series of tangents, curves, and spirals.

Step 2: After that, we have to select the appropriate curve radius for the design speed, the superelevation, and the allowable sight distance.

Step 3: Next, plot the vertical curves with the curve layout. A design speed of 50 mph and a curve radius of 1200 ft will be used in this example.

Step 4: Next, we have to calculate the curve length using the formula Lc = Rθ. Here, Lc is the curve length, R is the radius, and θ is the curve angle. In this case, the curve angle is 4 degrees, so the curve length will be 83.775 ft.

Step 5: Then, we will plot the curve using a tangent-tangent-radius (TTR) method. The TTR method involves drawing a tangent to the curve's point of intersection, then drawing another tangent to the next point of intersection, and finally drawing the curve's arc with the given radius. This process is repeated until the curve's entire length is completed.

Step 6: Finally, label the horizontal and vertical curves, including the stationing and curve radius.

That's how we draw the horizontal alignment for the curve on that shape on 12D.

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