chi-square tests are used for testing hypotheses of the association between two categorical values.
true
false

The sets that are equal are A = {1, 2, 3} and B = {2, 1, 3}

The order of elements does not matter when determining the equality of sets. Both sets A and B contain the same elements, namely 1, 2, and 3, even though their order is different. Therefore, we can say that A and B are equal sets.

The other sets mentioned, A = {1, 2} and B = {1}, A = {1, 2, 4} and B = {1, 2, 3}, and A = {1, 2} and B = {1, 2, 3}, are not equal because they have different elements. In the first case, set A has two elements, while set B has only one element.

In the second case, set A contains the element 4, which is not present in set B.

In the third case, set A has two elements, while set B has three elements, including the element 3, which is not present in set A.

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x = 4, y = -2/7

1. Multiply the first equation by -1:

-3x-7y = -10

2. Add the two equations together:

-3x-7y = -10

+ x + y=2

-2x = -8

3. Divide both sides by -2 to solve for x:

-2x/2 = -8/2

x = 4

4. Substitute x=4 into the equation 3x+7y=10:

3(4) + 7y = 10

5. Simplify the equation and solve for y:

12 + 7y = 10

7y = -2

y = -2/7

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The number that comes immediately before 4099 in the sequence is 2051.

You can get this by using the rule given: "double the last number and then subtract 3"

4099/2-3 = 2049

Answer:

5

Step-by-step explanation:

\(5^{2}\) = 25

25 * 2 = 50

50 - 3 = 47

Hope that this helps!

Answer:

Step-by-step explanation:

let the number be x

Square of a number: x²

Twice the square of a number = 2*x² = 2x²

Three less than twice the square of a number = 2x² - 3

2x² - 3 = 47     {Add 3 to both sides}

2x² = 47 + 3

2x² = 50        {Divide both sides by 2}

 x² = 50/2

x² = 25          Take square root

x = √25

x = 5

Fraction 12 over 2 can be used to calculate the rate per second at which the machine launches the balls

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The x axis label is Time in seconds, and the x axis values are from 0 to 10 in increments of 2 for each grid line.

The y axis label is Number of Balls, and the y axis values from 0 to 60 in increments of 12 for each grid line

A line is shown connecting points on ordered pair (2, 12) and (4, 24) and (6, 36) and (8, 48)

m=24-12/4-2

m=12/2

Hence,  fraction 12 over 2 can be used to calculate the rate per second at which the machine launches the balls

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to determine wether the system has one solution, an infinite number of solutions or no solution at all we have to solve it.

We have the system:

Substracting the second equation from the first one we have:

Since we can find a value for the variable y we conclude that the system has only one solution.

The value of x can be found from the first equation once we have y:

The solution of the sytem is x=40 and y=11/3.

a. the probability of rolling a 4 is 1/6. b.  the probability of rolling an even number is 3/6, which simplifies to 1/2. c. the correct answer is D. (a) 0.17, (b) 0.5, (c) 0.67.

To determine the probability of the given events when rolling a die:

(a) The number showing is a 4:

Since there is only one face with the number 4 on a standard six-sided die, the probability of rolling a 4 is 1/6.

(b) The number showing is an even number:

Out of the six faces on a die, there are three even numbers (2, 4, and 6). Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2.

(c) The number showing is 3 or greater:

Out of the six faces on a die, there are four numbers (3, 4, 5, and 6) that satisfy the condition of being 3 or greater. Hence, the probability of rolling a number 3 or greater is 4/6, which simplifies to 2/3.

Therefore, the correct answer is D. (a) 0.17, (b) 0.5, (c) 0.67.

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A normal distribution of a random variable cannot be described (D) by a graph that is centered on the mean.

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

Since all three of these variables are equal in a normal distribution, they serve as the center of the graph and can either be zero or not.

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme.

The distribution's mean is another name for the center of the range.

Therefore, a normal distribution of a random variable cannot be described (D) by a graph that is centered on the mean.

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Carol can do the same work in 3 hours as it is did by bob

What is Arithmetic equation?

The area of mathematics known as arithmetic deals with the study of numbers and the numerous operations that can be performed on them.

Addition, subtraction, multiplication, and division are the fundamental mathematical operations.

bob + carol = 2 hours

bob = 6 hours

L.C.M of both equation is 6

∴efficiency of  bob + carol is 3

∴efficiency  bob is 1

Then, 3 - 1 = 2

total work ÷ 2

6 ÷ 2 = 3

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Answer:

-3≤x<2

Step-by-step explanation:

Answer:

(4x - 3)(3x² - 1)

Step-by-step explanation:

12x³ - 9x² - 4x + 3 ( factor the first/second and third/fourth terms )

= 3x²(4x - 3) - 1 (4x - 3) ← factor out (4x - 3) from each term

= (4x - 3)(3x² - 1)

Answer:

no linear relationship exists between the two variables being compared

Step-by-step explanation:

First you will get 4dz

Answer:

a = -3

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

-2a - 9 = 6a + 15

Step 2: Solve for a

Step 3: Check

Plug in a into the original equation to verify it is a solution.

Here we see that -3 does indeed equal -3.

∴ a = -3 is a solution of the equation.

Answer:

−2a−9 = 6a+15

-2a-6a = 15+9

-8a = 24

a = -3

Checking:

-2·(-3) - 9 = 6·(-3) + 15

6 -9 = -18 +15

-3 = -3

The system equation that models the amount of calories from fats (f) and proteins (p) that the individual can consume to reach 1,800 calories is: f + p = 1,200. The equation that relates calories from protein (p) to calories from fat (f) based on the prescribed diet is: p = 3f. Solving the system of equations, we find that the individual should consume 300 calories from fats and 900 calories from proteins.

To find the equation that models the amount of calories from fats and proteins that the individual can consume in order to reach 1,800 calories, we consider that 600 calories will come from carbohydrates. Since the total goal is 1,800 calories, the remaining calories from fats and proteins should add up to 1,800 - 600 = 1,200 calories. Therefore, the equation is f + p = 1,200.

Based on the prescribed diet, the individual is required to consume calories from protein that are three times the calories from fat. This relationship can be expressed as p = 3f, where p represents the calories from protein and f represents the calories from fat.

To solve the system of equations, we substitute the value of p from the second equation into the first equation: f + 3f = 1,200. Combining like terms, we get 4f = 1,200, and dividing both sides by 4 yields f = 300. Substituting this value back into the second equation, we find p = 3(300) = 900.

Therefore, the individual should consume 300 calories from fats and 900 calories from proteins to meet the diet requirements and achieve a total of 1,800 calories.

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Answer:

x=2.25

x= 9/4 x=2 1/4 x= (3/2)^2 these are all possible answers in different forms.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

15r-6r=36

9r=36

r=36/9

r=4

Using it's concept and the combination formula, it is found that there are 364 elements in the sample space for this experiment.

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

We have that 3 vegetables are taken from a set of 14, hence:

\(C_{14,3} = \frac{14!}{3!11!} = 364\)

There are 364 elements in the sample space for this experiment.

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Answer: p=side+side+side+side

Step-by-step explanation:The formula for the perimeter of a rectangle is often written as P = 2l + 2w, where l is the length of the rectangle and w is the width of the rectangle. The area of a two-dimensional figure describes the amount of surface the shape covers

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The probability that at least one of the pets selected is a puppy is approximately 0.7887 or 78.87%.

To calculate the probability that at least one of the pets is a puppy, we can find the probability of the complement event (none of the pets being a puppy) and subtract it from 1.

The total number of pets in the store is 6 puppies + 9 kittens + 4 lizards + 5 snakes = 24.

The probability of selecting a pet that is not a puppy on the first selection is (24 - 6) / 24 = 18 / 24 = 3 / 4.

Similarly, on the second selection, the probability of selecting a pet that is not a puppy is (24 - 6 - 1) / (24 - 1) = 17 / 23.

For the third selection, it is (24 - 6 - 1 - 1) / (24 - 1 - 1) = 16 / 22.

For the fourth selection, it is (24 - 6 - 1 - 1 - 1) / (24 - 1 - 1 - 1) = 15 / 21.

For the fifth selection, it is (24 - 6 - 1 - 1 - 1 - 1) / (24 - 1 - 1 - 1 - 1) = 14 / 20 = 7 / 10.

To find the probability that none of the pets is a puppy, we multiply the probabilities of not selecting a puppy on each selection:

(3/4) * (17/23) * (16/22) * (15/21) * (7/10) = 20460 / 96840 = 0.2113 (approximately).

Finally, to find the probability that at least one of the pets is a puppy, we subtract the probability of the complement event from 1:

1 - 0.2113 = 0.7887 (approximately).

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Answer:

9

13

23

59

116

238

Step-by-step explanation:

1) 14

1 × 5^1 + 4 × 5^0 = 9

2) 23

2 × 5^1 + 3 × 5^0 = 13

3) 43

4 × 5^1 + 3 × 5^0 = 23

4) 214

2 × 5² + 1 × 5^1 + 4 × 5^0 = 59

5) 431

4 × 5² + 3 × 5^1 + 1 × 5^0 = 116

6) 1423

1 × 5³ + 4 × 5² + 2 × 5^1 + 3 × 5^0 = 238

Answer:

\(\huge\boxed{B.\ \sqrt{18}}\)

Step-by-step explanation:

\(4=\sqrt{4^2}=\sqrt{16}\)

Answer:

m angleJ= 53, m angle JML = 63.5

Step-by-step explanation:

As this is a circle, KJ and KL are radii, which are equal

If we join J and L to form JL, Triangle KJL becomes and isosceles triangle( two sides equal).

That means, the angles J and L are equal (isosceles triangle thm).

Therefore- m angleJ = 180 - 127

m angleJ = 53

Join J and K, and L and K

Another circle theorem- The angle subtended by an arc/chord on the centre is double the angle subtended by the chord on any other point on the circle.

Therefore- angle JML  = (1/2)127
So, m angleJML = 63.5

A) La probabilidad de que la cantidad total de la solución contenida en 50 tambores sea mayor a 1 500 L es del 50%.

B) La probabilidad de que puedan llenarse 80 tambores sin que se acabe la solución es del 75%.

C) La tina debe contener 2160 litros para que la probabilidad sea 0,9 de que puedan llenarse 80 tambores sin que se acabe la solución.

Dado que unos tambores, con una etiqueta de 30 L, son llenados con una solución proveniente de una tina grande, y se agrega una cantidad aleatoriamente de la solución en cada tambor con media de 30.01 L y desviación estándar de 0.1 L, para determinar A) ¿Cuál es la probabilidad de que la cantidad total de la solución contenida en 50 tambores sea mayor a 1 500 L?; B) Si la cantidad total de la solución en la tina es de 2 401 L, ¿cuál es la probabilidad de que puedan llenarse 80 tambores sin que se acabe la solución?; y C) ¿Cuánta solución debe contener la tina para que la probabilidad sea 0,9 de que puedan llenarse 80 tambores sin que se acabe la solución?, se deben realizar los siguientes cálculos:

A)

B)

C)

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Answer:

Step-by-step explanation:

0.69

The possible values for the given series, the interval notation will be calculated as follows:

Sn is the sum of a geometric series, and a1/(1-r).

R = x a1 = 4 in this mathematical sequence.

If you want the sum to be higher than 8, enter:.

r cannot equal 1 (the equation would have 0 in the denominator) and it cannot be GREATER than one. 8 1/2 Interval notation: (1/2, 1). We must limit it to 1. as the series becomes divergent and lacks a sum if it does.

Interval arithmetic is a general numerical computing technique that automatically generates guaranteed enclosures for arbitrary formulas, even in the presence of uncertainties, mathematical approximations, and arithmetic roundoff. Intervals are at the center of this technique.

The definition of intervals also applies to arbitrary totally ordered sets, such as integers or rational numbers. In the special section that follows, the notation of integer intervals is discussed.

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Note that the full question is:

The value of the series 4+4x+4x^2+4x^3... is a real number greater than 8. Find all possible values of x, giving your answer in interval notation.

Find  1+ 1/2+1/6+1/12 , where we alternately multiply by 1/2 and 1/3 to get the next term.

In a certain infinite geometric series, the first term is 1, and each term is equal to the sum of the two terms after it. (For example, the first term is equal to the sum of the second term and third term). If s is the sum of the series and r is the common ratio, find s - r.

The tip of the woman's shadow is moving away from the pole when she is 22 ft from the base of the pole is 105/11 feet per second.

Given that :

A street light is at the top of a pole that has a height of 15 ft.

Height of the pole = 15 feet

Height of the woman = 4 feet

The speed at that the woman walks = 7 feet per second.

Let x be the distance of the woman from the pole and y be the distance from the shadow tip of the woman to the pole.

We get two similar triangles.

Using the similarity rule :

(y - x) / y = 4 / 15

15(y - x) = 4y

15y- 15x = 4y

11y = 15x

y = 15/11 x

Differentiating on both sides :

dy/dt = 15/11 dx/dt

          = (15/11) (7)

          = 105/11 feet per second.

Hence the shadow is moving at a rate of 105/11 feet per second.

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The most complex scheduling algorithm is the multilevel feedback-queue algorithm: True.The most complicated scheduling algorithm is multilevel feedback-queue algorithm.

In computing, a scheduling algorithm is utilized to determine the sequence of instructions that will be performed by a computer's processor. Various scheduling techniques are used to optimize the use of the processor by multiple processes or threads in multi-tasking environments.The algorithm that determines the priority of the CPU’s process is known as a scheduling algorithm.

It is essential for a computer system because it helps allocate resources effectively. There are different scheduling algorithms used in different environments. The most complicated is the multilevel feedback-queue algorithm.This algorithm is used in systems that require background and foreground processing. There are several scheduling queues, each with its priority level, in this algorithm. It determines the priority of the processes, and the CPU allocates it according to that priority level.

Lower-level processes have a shorter quantum time, while higher-level processes have a longer quantum time.A process's priority can change during runtime with this algorithm, depending on its type and time spent waiting in a queue. When a process completes execution in one queue, it is moved to the next queue. It is either promoted to a higher-priority queue if it has used a lot of CPU time or demoted to a lower-priority queue if it has spent too much time waiting. This helps to make better use of the CPU's available resources.The multilevel feedback-queue algorithm is the most complex of all scheduling algorithms.

The rationale is simple: it employs several priority queues and changes process priorities during runtime. In a busy system, scheduling techniques like multilevel feedback-queue algorithms are necessary to ensure resource allocation is managed effectively.

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The segment is a straight line that connects the two points C and D. We want to determine the distance between C and D. Looking at the given points, the x cordinates are 3 and 7. The y coordinates are 6 and - 3.

The first step is to determine the distance between the x coordinate. We can subtract the higher value from the lower value but we must take the absolute value. Therefore, the distance between the x coordinate is 3 - 7 = - 4. The absolute value is 4

The distance between the y coordinate would be 6 - - 3 = 9. The absolute value is 9

The next step is to find the square root of the sum of both distances. It becomes

The length of the segment is 9.85