are the integers: 19 and -19
Greater than, less than or equal to?

The statement 'When you try to find the most appropriate input probability distribution in a simulation model, you first have to choose the most appropriate family, and then you have to select the most appropriate member of that family' is generally true because in simulation modeling, input probability distributions are used to represent uncertain or random factors in the system being modeled.

These distributions are often classified into different families, such as normal, exponential, uniform, and so on, based on their properties and mathematical characteristics.

When selecting an appropriate distribution for a simulation model, it is important to first identify the family of distributions that best represents the underlying random process being modeled.

For example, if the data is symmetric and bell-shaped, then the normal distribution might be a suitable family to consider. However, if the data is non-negative and skewed, then the exponential or gamma distribution might be more appropriate.

Once the appropriate family of distributions is selected, the next step is to identify the most appropriate member or parameter values of that family that best fit the data being modeled.

This often involves using statistical methods to estimate the parameters of the distribution based on historical data or expert knowledge.

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As a result, the function g(x) = -2sec(3x + 4) + 1 has a range of [0, 1].

A function is a mathematical relationship between a set of inputs (called the domain) and a set of possible outputs (called the range). The function assigns exactly one output, called the value of the function, to each input in the domain. Functions are commonly represented as expressions or formulas. For example, the function f(x) = x^2 + 2x + 1 maps inputs x to outputs y, where y = x^2 + 2x + 1. The input x is called the independent variable and the output y is called the dependent variable, as the value of y depends on the value of x. Functions are used in many areas of mathematics, science, engineering, and technology to model real-world situations and to make predictions and decisions based on data. Functions can be linear or nonlinear, continuous or discrete, and can have various forms and properties, such as symmetry, inverse functions, and maxima and minima.

Here,

The range of a function is the set of all possible values that the function can take. To find the range of the function g(x) = –2sec(3x + 4) + 1, we can evaluate the function for different values of x and find the minimum and maximum values of the function.

sec(θ) is positive for all values of θ, so sec(3x + 4) is always positive. Since the function g(x) = –2sec(3x + 4) + 1, the value of the function will always be between 1 and -1 + 1 = 0.

Therefore, the range of the function g(x) = –2sec(3x + 4) + 1 is [0, 1].

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So on the first day of school, Noah had a total of 11 box tops (10 from his grandma and 1 from that day). From this point on, both boys will be collecting one box top per day.

Noah and Carter are both collecting box tops for their school. They have agreed to bring in one box top per day, starting on the first day of school. However, Carter had a head start because his aunt sent him 15 box tops before school began. This means that on the first day of school, Carter had a total of 16 box tops (15 from his aunt and 1 from that day). On the other hand, Noah's grandma saved 10 box tops for him, and he added those to his collection on the first day of school. So on the first day of school, Noah had a total of 11 box tops (10 from his grandma and 1 from that day). From this point on, both boys will be collecting one box top per day.

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Answer:

8

Step-by-step explanation:

Answer:  The shadow of the tree is 280 feet long.

Step-by-step explanation:

We can use a ratio to solve this:

Use the Height to shadow for each. This works because the fractions must reduce to the same equivalent.

5/10 = 140/x

We can see that 5/10 is 1/2, so we need another fraction using 140 as the numerator that is equal to 1/2.  That's easy here: Multiply 140 × 2 to get the new denominator, 280 that replaces x. That is the length of the shadow.

If you have a less obvious ratio, you can use Cross Multiplication to solve the unknown value in the ratio:

5/10 = 140/x  Cross multiply the numerator of the left side times the denominator on the right side, and the denominator on the left side by the numerator on the right side:

5 × x = 10 × 140

5x = 1400  Divide both sides by 5 (the 5s "cancel" on the left)

5x/5 = 1400/5

x = 280

I hope this helps, especially when you see more questions like this in the future.

Answer:

841 kmh-1

Step-by-step explanation:

speed = distance / time

time = 810 x 24 = 19440

16,340,000 km / 19440 = 840.535

Answer:

A) 5x² - 6x + 1

Step-by-step explanation:

In this question, you would have to simplify the expression.

Solve:

(3x² - 2) + (2x² - 6x + 3)

Combine like terms.

3x² - 2 + 2x² - 6x + 3)

5x² - 2 - 6x + 3

5x² - 6x + 1

Since there's no more like terms, we have completely simplified the expression.

Therefore, your answer would be A) 5x² - 6x + 1

Answer:

$1551 needed to cover the costs and 141 shirts will be sold.

Step-by-step explanation:

If a shirt costs $10 and the council is selling the shirt for $1 more ($11), after selling 141 shirts, they would have made a profit of $1*141=$141. Since there is also a setup fee of $141, the profit would actually be $0. This is when the costs are covered.

C = 10s + 141 (C is cost and s in no. of shirts sold)

s = 141

C = 141*10 + 141 = 1551

Hope this helps!

Answer:

a

Step-by-step explanation:

big brain

Step-by-step explanation:

the domain and range as stated in the pic.

it's a function

\(y = {x}^{2} - 1\)

Answer:

24

Step-by-step explanation:

Converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

Conversion of units is defined as the conversion of different units of measurement for the same quantity, mostly through multiplicative conversion factors.

From the information given, we are to convert micrometers to square meters

Note that:

1 micrometer ( μm²) = 10^-12m²

Given 1. 50μm² =  xm²

cross multiply

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 5 × 10 ^-11 square meters

Thus, converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

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Answer:

A) 13 i think

Step-by-step explanation:

832 , 208 , 52

The difference between 832 and 208 is 624 and then the difference between 208 and 52 is 156. If we check the relation between 624 and 156 which is 624/4 = 156 so then if we divide 156 by 4 we get 39 and then subtract 39 from 52 we get 13.

Answer:

13

Step-by-step explanation:

Inductive reasoning is collecting data to make a conjecture.

Answer:

Step-by-step explanation:

\(f(x) = {x}^{3} + 5\)

To find the inverse of f (x) , equate f(x) to y

That's

y = f(x)

\(y = {x}^{3} + 5\)

Next interchange the terms

That's x becomes y and y becomes x

\(x = {y}^{3} + 5\)

Next solve for y

Send 5 to the other side of the equation

\( {y}^{3} = x - 5\)

Find the cube root of both sides to make y stand alone

That's

\( \sqrt[3]{ {y}^{3} } = \sqrt[3]{x - 5} \)

\(y = \sqrt[3]{x - 5} \)

We have the final answer as

\( {f}^{ - 1} (x) = \sqrt[3]{x - 5} \)

Hope this helps you

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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Step 1

Given;

Required; To find the side length.

Step 2

State the area(A) of an equilateral triangle.

Step 3

Find the side length

But, the side length cannot be negative, therefore, the side length of the equilateral triangle = 12 units

Answer:

12

Step-by-step explanation:

f(x)=16x-30

g(x)=14x-6

f(x) - g(x) = 16x-30 - (14x-6)

               = 16x - 30 - 14x +6

                = 2x -24

Set this equal to zero

2x-24 = 0

Add 24 to each side

2x-24 +24 = 0+24

2x = 24

Divide by 2

2x/2 =24/2

x = 12

x=12

Answer:

Solution given:

f(x)=16x-30 and g(x)=14x-6

(f-g)(x)=0

or

f(x)-g(x)=0

16x-30-14x+6=0

2x-24=0

2x=24

x=24/2

x=12

The surface area of the figure when d = 2cm is 3.14 cm².

To find the surface area of a circle with a diameter of 2 cm, we can first begin by using the formula: A = πr².

Next, we note that the diameter radius is the diameter divided by 2. So, 2 cm divided by 2 equals 1 cm. Plugging this into the equation, we will have the following:

A = 3.14 * 1²

So, surface area = 3.14 cm² when rounded to the nearest hundredth centimeter.

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Answer:

B and E

Step-by-step explanation:

In the graph, the altitude represents Y axis while time represents the X axis. we can see that at interval 1 the function is dramatically decreasing. At Interval 2 the function is constant. At interval 3 the function is increasing but I can't say definitively if the slope is positive or negative. Hope this helped!

Answer:

x = 8cm

Step-by-step explanation:

17² = 15² + x²

289 = 225 + x²

- x² = 225 - 289

x² = 64

x = √64

x = 8

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x = 8 cm

Step-by-step explanation:

17² = 15² + x²

289 = 225 + x²

x² = 225 - 289

x² = 64

x = √64

x = 8

Teorema pythagoras

Answer:

Step-by-step explanation:

5.) -11 = 7 - x

To solve for x, we need to isolate x on one side of the equation. We can do this by adding x to both sides of the equation, and then subtracting 11 from both sides:

-11 + x = 7

x = 7 + 11

x = 18

Therefore, the solution is x = 18.

15.) 95 = -4 + 33x

To solve for x, we need to isolate x on one side of the equation. We can do this by adding 4 to both sides of the equation, and then dividing both sides by 33:

95 + 4 = 33x

99 = 33x

x = 99/33

x = 3

Therefore, the solution is x = 3.

Exponential decay is represented by the following expression:

Now, with the information given we can substitute and solve for F:

Rounding, the average attendance in three years would be 936 students.

The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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Answer:

2x^2+x-1/x^2-1

x^2+11x+18/x^2-11x+18

2x^2-5x+3/x^2+4x+3

Step-by-step explanation:

1.2 and 5

Answer:

2

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

let the third side ( hypotenuse ) be x , then

x² = 1² + (\(\sqrt{3}\) )² = 1 + 3 = 4 ( take square root of both sides )

x = \(\sqrt{4}\) = 2

Answer:

x²-15=0 {GIVEN}

Step-by-step explanation:

x²=15

x=±√15

Answer:

x= 101

Step-by-step explanation:

Exterior angle of triangle states that the exterior angle of a triangle is the sum of the 2 opposite interior angles. This is abbreviated as 'ext. ∠ of ∆'. Thus using the exterior angle theorem,

x°= 64° +37° (ext. ∠ of ∆)

x°= 101°

x= 101

_____

Alternative method:

Let the third angle in the triangle be y°.

Since the sum of the angles in a triangle is 180°,

y° +64° +37°= 180° (∠ sum of ∆)

Simplify:

y° +101°= 180°

y°= 180° -101°

y°= 79°

The sum of the angles on a straight line is 180°.

x° +y°= 180° (adj. ∠s on a str. line)

Substitute y°= 79°:

x° +79°= 180°

x°= 180° -79°

x°= 101°

x= 101