What is the mean absolute deviation of 10 10 9 8 10 5 6 4 8 4

Respuesta:

T₁₀ = 1/16

S₁₀ = 63,9375

Explicación paso a paso:

Dado el término de un médico de cabecera como 32, 16, 8, 4 ...

El enésimo término de un médico de cabecera se expresa como;

Tn = arⁿ⁻¹

a es el primer término

r es la razón común

n es el número de términos

Dado

a = 32

r = 16/32 = 8/16 = 4/8 = 1/2

n = 10 (ya que necesitamos el décimo término de la secuencia)

Sustituir en la fórmula;

Tn = arⁿ⁻¹

T₁₀ = 32 (1/2) ¹⁰⁻¹

T₁₀ = 32 (1/2) ⁹

T₁₀ = 32 (1/512)

T₁₀ = 32/512

T₁₀ = 1/16

Por lo tanto, el décimo término de la secuencia es 1/16.

La suma de un GP se expresa como se muestra;

Sₙ = a (1-rⁿ) / 1-r para r <1

S₁₀ = 32 (1- (1/2) ¹⁰) / 1-1 / 2

S₁₀ = 32 (1-1 / 1024) / 1/2

S₁₀ = 64 (1 - 1/1024)

S₁₀ = 64 (1023/1024)

S₁₀ = 63,9375

por lo tanto, la suma de los primeros diez términos es 63,9375

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

Given data :

1 ) 6x - 4y = 2

- 2x + 4y = 18

( 5. 7 )

=

=         6x-4y=2

    {-2x+4y=18(5.7)}

= [ -2{1+2y}{3}+4y=18. 5.7 ]

= \(\frac{-2+8y}{3}\) = 102.6

= y = 38.725

= x = \(\frac{1+2\cdot \:38.725}{3}\)

x = 26.15

2)  -4x - 12y=-24

    -2x - 4y =-10

         (3,1)

Solve the equation for x

x = 12 − 4y

− 24 − 2x−4y = −31

Solve using substitution

−24 −2 (12−4y) − 4y = −31

Simplify

− 48 + 4y = −31

Move the constant to the right side

4y= −3 1− (−48)

Subtract the terms

4y = 17

​Multiply both sides

4y × \(\frac{1}{4}\)  = 17 x \(\frac{1}{4}\)

Simplify

4y × \(\frac{1}{4}\)  = \(\frac{17}{4}\)

Substitute the given value of y into the equation x = 12 − 4y

x = 12 − 4 ×  \(\frac{17}{4}\)

Simplify the expression

x=−5

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​

Answer:

x = 0.

Step-by-step explanation:

4x = 3x

4x - 3x = 0

x = 0

Hope this helps!

The best interpretation of the given equation is x = 0

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given that, Kate begins solving the (6x – 3) = (6x – 4). Her work is correct and is shown below. (6x – 3) = (6x – 4)

4x – 2 = 3x – 2 When she adds 2 to both sides, the equation becomes 4x = 3x

After performing the operations, we get,

4x = 3x

This is only possible when x = 0

Hence, the best interpretation of the given equation is x = 0

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Answer:

It's letter D.

Step-by-step explanation:

3.14÷60×50= 2.61 but you have to opposite remember if the number is a little number you have to opposite and that is the answer 6.2 but do not joy like this . so the real answer is 62

All finite subgroups of C* are the trivial subgroup, the subgroup of roots of unity, the cyclic subgroups, and the subgroup consists of all powers of a single nonzero complex number

Let's explore the finite subgroups of C*, the group of nonzero complex numbers under multiplication.

First, let's recall that C is isomorphic to the group (R, +), where R represents the set of real numbers under addition.

Thus, we can view C as the group of real numbers excluding 0 under multiplication.

Now, since we are looking for finite subgroups, let's consider the possible finite subgroups of C*:

The trivial subgroup:

This consists of the identity element 1, which is the only element in this subgroup.

The subgroup of roots of unity:

This subgroup consists of complex numbers of the form \(e^{2\pi i/n}\), where n is a positive integer.

These numbers are all of finite order, with order n.

This subgroup is isomorphic to the group Zn of integers modulo n under addition.

The cyclic subgroups:

These subgroups are generated by a single nonzero complex number.

The order of the generator determines the order of the subgroup.

For example, if we take a complex number z and generate a subgroup, it will consist of z, z², z³, and so on, until we reach zⁿ = 1, where n is the order of the subgroup.

The subgroup consists of all powers of a single nonzero complex number:

This is similar to the cyclic subgroups, but instead of considering the powers of a single element, we consider the powers of all nonzero complex numbers.

This subgroup is isomorphic to the group of integers Z under addition.

These are the main types of finite subgroups of C. Each of these subgroups has its own unique properties and structure, making C a fascinating group to study.

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Answer: 18

Step-by-step explanation:

there you go <3

Answer:

12 units2

Step-by-step explanation:

(6x4) /2 =12

The probability of drawing a red card from a standard deck of cards is 1/2.

Given that there is a standard deck of cards.

We are required to find the probability of drawing a rd card from a standard deck of cards.

Probability is the calculation of chance of happening an event among all the events possible. It lies between 0 and 1. It cannot be negative.

Probability=Number of items/Total items.

Total number of cards=52

Number of red cards =26

Number of black cards=26

Probability of drawing a red card =Number of red cards/ Total cards.

=26/52

=1/2

Hence the probability of drawing a red card from a standard deck of cards is 1/2.

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Answer:

I and IV

Step-by-step explanation:

I is a graph with three inequalities, not a function.  IV is an algebraic equation, and again, not a function.  

Plzzzz give me Brainliest!!!!!  

Answer:

check the pdf its done there hope it helps :)

Step-by-step explanation:

The final set of parametric equations that model the path of the ball are:

x = 106 * cos(35) * t

y = 3 + 106 * sin(35) * t - (1/2) * 32.17 * t²

To model the path of the ball, we can use parametric equations that describe the horizontal and vertical motion of the ball as functions of time.

Let's denote time as 't'. The initial conditions for the ball's motion are as follows:

Initial height (y): 3 feet

Initial velocity (v₀): 106 feet per second

Angle of projection (θ): 35 degrees

Distance to the fence (x): 300 feet

To derive the parametric equations, we'll consider the horizontal and vertical components of the ball's motion separately:

Horizontal motion:

The horizontal component of the ball's velocity remains constant throughout its flight. We can use the formula for horizontal distance traveled:

x = v₀ * cos(θ) * t

Vertical motion:

The vertical component of the ball's velocity is affected by gravity. We can use the formula for vertical displacement:

y = y₀ + v₀ * sin(θ) * t - (1/2) * g * t²

where y₀ is the initial height, v₀ is the initial velocity, θ is the angle of projection, t is time, and g is the acceleration due to gravity (approximately 32.17 feet per second squared).

Combining both equations, the parametric equations that model the path of the ball are:

x = v₀ * cos(θ) * t

y = y₀ + v₀ * sin(θ) * t - (1/2) * g * t²

Substituting the given values:

y₀ = 3 feet

v₀ = 106 feet per second

θ = 35 degrees

g = 32.17 feet per second squared

The following final set of parametric equations models the ball's trajectory:

x = 106 * cos(35) * t

y = 3 + 106 * sin(35) * t - (1/2) * 32.17 * t²

These equations describe the horizontal distance (x) and vertical height (y) of the ball as functions of time (t) as it travels towards the 9-foot fence located 300 feet away from home plate.

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Lines have a larger m value, that is, m > 1 have steeper slope and lines having an m value between 0 and 1, usually in the form of a fraction have a flatter slope .

Slope is the rate of change in the dependent variable with respect to the independent variable.

For an equation of line of the type - y= mx +c , the slope is given by the m value.

Now, if the value of m > 1 like m=1,2,3, ... , the lines have a steeper slope and have a steep nature.

Similarly, if the value of m < 1 i.e. 0 < m < 1 like m=1/2,2/3, ... fractional values,  the lines have a flatter slope and do not have a steep nature.

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Hey there!

-y - (-3) = 7

-y + 3 = 7

-y = 7 - 3

-y = 4

=> y = -4

Hope it helps ya!

The parametric equations of the curve are x = -10 + 1t and y = -20 - 4t

A parametric equation is defined as a type of equation that employs an independent variable called a parameter (often denoted by t)

Given: The line with slope -4, passing through (-10, -20)

We can use the given properties of the curve to describe it parametrically as follows

The slope of -4 implies that if y decreases by 4, x increases by 1  i.e slope = Δy/Δx = -4/1. Thus, we have

x = -10 + 1t

y = -20 - 4t

Therefore, the parametric equations are x = -10 + 1t and y = -20 - 4t. So (x(t) , y(t)) = (-10 + 1t,  -20 - 4t)

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Answer:

Hey there!

Angle QRS is 70, and since it is located on the circle, we have a useful formula. If 141x-1 is called y, then 70 is half of that.

Thus, we have 141x-1=140

141x=141

x=1

Hope this helps :)

Answer:

x=2

Step-by-step explanation:

1) -13 on each side (7x=14)

2) Divide by 7 on each side (x=2)

3) x=2

A. The system has a single solution. The solution set is (-217/186, 799/372).

To solve the system by substitution, we can solve one of the equations for one variable in terms of the other, and then substitute that expression into the other equation.

From the first equation, we have:

2x + 2y = 5

Simplifying and solving for y, we get:

y = (5 - 2x)/2

Substituting this expression into the second equation, we get:

(2/5)x + (3/2)((5 - 2x)/2) = -3/41

Simplifying and solving for x, we get:

x = -217/186

Substituting this value into either equation, we can solve for y:

2(-217/186) + 2y = 5

y = 799/372

Therefore, the solution to the system is (-217/186, 799/372).

We can check this solution by substituting it into both original equations. Both equations are satisfied by these values, so the solution is correct.

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These standardization methods are crucial in chromatography to ensure accurate quantification and comparability of results.

In chromatography, standardization methods are used to ensure accurate and reliable results by establishing reference points or calibration standards. Here are three common methods of standardization in chromatography: External Standardization: In this method, a set of known standard samples with known concentrations or properties is prepared separately from the sample being analyzed. These standards are then analyzed using the same chromatographic conditions as the sample. By comparing the response of the sample to that of the standards, the concentration or properties of the sample can be determined. Internal Standardization: This method involves the addition of a known compound (internal standard) to both the standard solutions and the sample. The internal standard should ideally have similar properties to the analyte of interest but be different enough to be easily distinguished. The response of the internal standard is used as a reference to correct for variations in sample preparation, injection volume, and instrumental response. Internal standardization helps improve the accuracy and precision of the analysis. Standard Addition: This method is useful when the matrix of the sample interferes with the analysis or when the analyte concentration is unknown. It involves adding known amounts of the analyte of interest to different aliquots of the sample. The response of the analyte is then measured, and the concentration is determined by comparing the response with that of the standards. The difference in response between the sample and the standards allows for the determination of the analyte concentration in the original sample.

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Answer: Can you add a more clearer picture. I cant see the options nor the question...

The required amount of mixed juice without the apple juice is 5.553.

Given that,

A fruit juice company includes 1.197 ounces of apple juice in a 6.75​-ounce bottle of mixed fruit juice.  To determine how much of the bottle of mixed fruit juice is NOT apple ​juice.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
The total amount of mixed juice = 6.75 ounces,
Amount of apple juice contains = 1.197
Amount of mixed jo=uice without apple juice = 6.75 - 1.197 = 5.553

Thus, the required amount of mixed juice without the apple juice is 5.553.

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Answer:

h=2.2

Step-by-step explanation:

Answer:

i can not help you on this one sorry

Step-by-step explanation:

The ball flies at an angle of about 15.57 degrees, measured relative to the car's forward direction.

Two children are throwing a ball back-and-forth straight across the back seat of a car. The ball is being thrown 7mph relative to the car, and the car is traveling 25 mph down the road. If one child doesn't catch the ball and it flies out the window, in what direction does the ball fly (ignoring wind resistance)? The ball flies at an angle of about 15.57 degrees, measured relative to the car's forward direction.

Below is the solution for the given question:

From the given problem, the velocity of the ball relative to the car is 7mph. Also, the velocity of the car is 25 mph. So, the velocity of the ball relative to the ground can be found as follows:

\(v_G\)= \(\sqrt{(v_C^2+v_B^2)}\)

where \(v_G\) is the velocity of the ball relative to the ground, \(v_C\) is the velocity of the car, and \(v_B\) is the velocity of the ball relative to the car.

Substitute the given values of \(v_C\) and \(v_B\) in the above formula to get:

\(v_G= \sqrt{(25^2+7^2)}\\v_G= 26.08~mph\)

The angle the ball flies out is the angle between the velocity of the ball relative to the ground and the velocity of the car. Thus, the angle can be found as follows:

tanθ= \(v_B\)/\(v_C\)

where θ is the angle between the velocity of the ball relative to the ground and the velocity of the car.

Substitute the given values of \(v_C\) and \(v_B\) in the above formula to get:

tanθ= 7/25

θ= arctan (7/25)

θ= 15.57 degrees (approx)

Therefore, as measured relative to the car's forward direction, the ball flies at an angle of about 15.57 degrees.

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Answer:

The first one is the first picture.

The second answer is zero.

I don't know how 2 do the 3rd sry

Step-by-step explanation:

Answer:

answer is D

Step-by-step explanation:

f(x) = -2(-5) + 7

f(x) = 10 + 7 = 17

the solution is 17

The equation that is quadratic in form is 6x^4 + 7x^2 - 3 = 0.

Answer:6x^4 + 7x^2 - 3 = 0

Step-by-step explanation:

Answer:

59 fps

Explanation:

40 mph = 58.6667 fps

Round 58.6667 to the nearest Whole Number: 59.