Determine if the expression - 4x²/2 is a polynomial or not. If it is a polynomial,
state the type and degree of the polynomial.

The expressions for a_n, b_n, and c_n are:
a_n = 1 - F(12n; 2n, 0.2), b_n = 5/6, c_n = 25/(36n)
To derive the expression for a_n, b_n, and c_n, we consider the random variable S_n, which represents the aggregate amount of claims from n insurance policies. Each claim amount is represented by the non-negative random variable X_i, assumed to follow a gamma distribution with parameters (2, 0.2). The premium for each policy is denoted as G = 12, and the total premium for n policies is 12n. We aim to find the probability that the aggregate claim amount exceeds the total premium, P(S_n ≥ 12n).

Let's start by noting that the sum of independent gamma random variables follows a gamma distribution. Specifically, if X_i ~ Γ(2, 0.2), then the sum of n independent X_i's, S_n = ∑ i=1^n X_i, follows a gamma distribution with parameters (2n, 0.2). This is due to the property of the gamma distribution under summation.
Now, we want to calculate the probability P(S_n ≥ 12n), which represents the event that the aggregate claim amount exceeds the total premium. To derive this expression, we can utilize the cumulative distribution function (CDF) of the gamma distribution.
The CDF of a gamma distribution with parameters (k, λ) is given by F(x; k, λ) = Γ(k, λx) / Γ(k), where Γ(a, x) denotes the upper incomplete gamma function and Γ(a) is the gamma function.
Therefore, a_n can be expressed as a_n = 1 - F(12n; 2n, 0.2), where F(12n; 2n, 0.2) represents the CDF evaluated at 12n for the gamma distribution with parameters (2n, 0.2).
To find b_n and c_n, we need to utilize the expected value and variance of the gamma distribution. The mean and variance of a gamma distribution with parameters (k, λ) are E[X] = k / λ and Var[X] = k / \(λ^2\)\(λ^2\), respectively.
For our case, E[S_n] = E[∑ i=1^n X_i] = ∑ i=1^n E[X_i] = ∑ i=1^n 2 / 0.2 = 10n. Since G = 12, we have b_n = E[S_n] / (12n) = (10n) / (12n) = 5 / 6.
Similarly, Var[S_n] = Var[∑ i=1^n X_i] = ∑ i=1^n Var[X_i] = ∑ i=1^n 2 / (0.2)^2 = 50n. Therefore, c_n = Var[S_n] / (12n)^2 = (50n) / (12n)^2 = 25 / (36n).
In summary, the expressions for a_n, b_n, and c_n are given by:
a_n = 1 - F(12n; 2n, 0.2)
b_n = 5 / 6
c_n = 25 / (36n)

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Answer: By dividing 1760 by the jack and his friends, you get 352 yards per person

Step-by-step explanation:

hope it helps please consider giving brainliest

Answer:

im answering so you can give other person brainliest

Step-by-step explanation:

We can be 95% confident that the true population mean TV viewing time is between 3.812 and 4.388 hours.

To calculate the 95% confidence interval, we use the formula:

CI = x' ± Zα/2 * (σ/√n)

Where:

x' = sample mean

Zα/2 = the Z-score associated with the desired confidence level (in this case, 95%, so Zα/2 = 1.96)

σ = population standard deviation

n = sample size

Substituting the given values, we get:

CI = 4.1 ± 1.96 * (1.3/√78)

Calculating the standard error (SE) first:

SE = σ/√n

SE = 1.3/√78

SE ≈ 0.147

Then we substitute the SE value in the CI formula:

CI = 4.1 ± 1.96 * 0.147

CI = 4.1 ± 0.288

CI = (3.812, 4.388)

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Saturn has the global-average density smaller than the density of liquid water, and Jupiter has the strongest magnetic field among the four giant planets. The answer is (a).

Saturn has an average density of 0.687 g/cm³, which is less than the density of liquid water (1 g/cm³). This is due to its composition, which consists mainly of hydrogen and helium with small amounts of heavier elements.

Jupiter has the strongest magnetic field among the four giant planets, with a field strength of about 20,000 times stronger than Earth's magnetic field. This strong magnetic field is thought to be generated by a dynamo effect caused by the motion of metallic hydrogen in Jupiter's core.

In summary, (a) Saturn and Jupiter have the features mentioned in the question, with Saturn having the global-average density smaller than the density of liquid water, and Jupiter having the strongest magnetic field among the four giant planets.

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The function "fig" is not defined in the given information, without its definition, we cannot determine the domain of the function for the given expressions: f(x) = x + 99 & g(x) = x²

(a) (r + g)(x) = r(x) + g(x) = (x - 8) + (x² - 8) = x² + x - 16

(b) (-9)(x) - 8 = - 9x - 8

(c) (f)(x) = f(x) = x + 99(x) = x²(f/g)(x) = f(x) / g(x) = (x + 9) / x

The domain of the given figure is not given, hence we can not find the domain of fig.

f(x) = x + 99

The function f(x) is defined as the sum of x and 99.

g(x) = x²

The function g(x) is defined as the square of x.

(a) (r+g)(x) = ?

The expression (r+g)(x) represents the sum of two functions, r(x) and g(x).

However, the specific definitions of r(x) and the value of x are not provided.

Therefore, we cannot determine the result without more information.

(b) (-9)(x) - ?

The expression (-9)(x) represents the product of -9 and x.

However, a specific value for x is not given, so we cannot compute the result without more information.

(c) (f)(x) = (a)

The expression (f)(x) represents the function f(x).

Since f(x) is defined as x + 99, we have (f)(x) = x + 99.

The result (a) is the same as the function itself, which is x + 99.

(d) (f/g)(x) = ?

The expression (f/g)(x) represents the quotient of two functions, f(x) and g(x).

Therefore, we need to divide f(x) by g(x), which gives us:

(f/g)(x) = (x + 99) / (x²)

(e)The domain of fig:

The function "fig" is not defined in the given information. Without its definition, we cannot determine the domain of the function.

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Answer:

SN = √29 cm = 5.39 cm (2 dp)

Step-by-step explanation:

Using the given information, we can create a new right triangle with hypotenuse SN, then use Pythagoras' Theorem to find the length of SN.

Extend the line SU to the left until it is under point N → label this point P.  Connect point P to point N.  This creates a new right triangle (see attachment).

If BU = 4 cm, and M is the midpoint of BU, then UM = 2 cm

⇒ PN = UM = 2 cm

As NM = 2, then PU = 2 cm

⇒ PS = PU + US = 2 + 3 = 5 cm

Therefore, the two legs of the right triangle with SN as its hypotenuse are 2 cm and 5 cm.

Using Pythagoras' Theorem:

⇒ a² + b² = c²

⇒ 2² + 5² = SN²

⇒ 4 + 25 = SN²

⇒ SN² = 29

⇒ SN = √29 cm = 5.39 cm (2 dp)

The best answer for the probability of P (A or B) is (c) 0.6352. When we have two independent events, A and B, with probabilities P(A) = 0.24 and P(B) = 0.52, we can find the probability of P (A or B) using the following formula:

P(A or B) = P(A) + P(B) - P(A and B)

Since events A and B are independent, we can calculate P(A and B) as the product of their individual probabilities:

P(A and B) = P(A) * P(B) = 0.24 * 0.52 = 0.1248

Now, we can plug this value back into the formula for P(A or B):

P(A or B) = 0.24 + 0.52 - 0.1248 = 0.6352

Therefore, the best answer for the probability of P(A or B) is (c) 0.6352.

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Answer:

18 mi²

Step-by-step explanation:

Using the formula:

\(A = \frac{hb}{2}\)

\(A = \frac{4.5*8}{2}\)

A=36/2

A=18

Units will be mi² since it is area

Answer:

A = 18 mi²

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )

here b = 8 and h = 4.5 , then

A = \(\frac{1}{2}\) × 8 × 4.5 = 4 × 4.5 = 18 mi²

The table of values that represents exponential decay is (c)

From the question, we have the following parameters that can be used in our computation:

The table of values

An exponential function is represented as

y = abˣ

Where

Rate = b

When the rate is less than 1, then the table represents a decay

i.e when y reduces as x increases

The table that has the above features is the table (c)

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Answer:

Go to the nether

Step-by-step explanation:

Go to the nether and make sure you have a shield and a fire resistance potion  and make sure you have a bow to shoot them while they fly also make sure you have a good sword and armor cuz the nether is dangerous

Answer:

E) 150°

Step-by-step explanation:

angle adjacent to 70° angle is 110°

the angle supplemental to 'x' must be 180-(40+110) or 30°

this means 'x' must be 150°

Answer:

17) G

18) J

19) F

20) A

hope this helps :)

Answer:

No

Step-by-step explanation:

you can see that they can not go into each other and come out correct so the answer would have to be no (we were working on this same thing)

Answer:

Step-by-step explanation:

False

Answer:

x = 5  and  ( 5 , − 9 )

Explanation:

The equation of a parabola in  vertex form  is.

2 2 y = a ( x − h ) 2 + k 2 2

Where  ( h , k )  are the coordinates of the vertex and a  is a multiplier

f ( x ) = ( x − 5 ) 2 − 9  is in this form

with  ( h , k ) = ( 5 , − 9 )

⇒ vertex  = ( 5 , − 9 )

the axis of symmetry passes through the vertex is vertical  with equation

x = 5 ←  axis of symmetry  graph{(y-x^2+10x-16)(y-1000x+5000)=0 [-20, 20, -10, 10]}

Answer:

I believe substitution not 100% though

Step-by-step explanation:

you sub in the 12 for the 8 the 8 for the 5 and the 5 for the 12 hope it is right

Answer: associative property

Step-by-step explanation:

In the equation the parentheses are rearranged which is the associative property.

The factored form of 3y - 18 using the G.C.F. is 3 * (y - 6).

What is the factor?

Factor is a mathematical expression or a number that divides another expression or number evenly. The factor of an expression is a number that divides the expression evenly, leaving no remainder.

The expression 3y - 18 can be factored using the greatest common factor (G.C.F.) of 3.

The G.C.F. of 3 and 3y is 3.

So, 3y - 18 can be factored as:

3 * (y - 6)

Hence, The factored form of 3y - 18 using the G.C.F. is 3 * (y - 6).

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Answer:

Here we want to create a histogram of:

Number of houses Vs day.

First you need to create a rectangular coordinate axis.

In the x-axis you will divide the days as:

day 1, day2, day3 etc

in the y-axis you will measure the number of houses visited.

then, for the first day our height will be 12 units

for the second day, our height will be 28 units...

and so on.

Remember that for histograms you need to use columns.

Then, our histogram will look like:

Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.

Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.

In other words, the change in the mean is calculated as follows:

Change in mean = Mean of second data set - Mean of first data set

Since none of the values in the second data set have changed, the mean of the second data set is the same as the mean of the first data set. Therefore, the change in the mean is:

Change in mean = Mean of second data set - Mean of first data set

= Mean of first data set - Mean of first data set

= 0

Thus, the change in the means between Kelly's original survey and her second survey is zero.

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The six main criteria to define normality and abnormality include statistical infrequency, personal distress, others' distress, unexpected behavior, highly consistent/inconsistent behavior, and maladaptiveness/disability.

1. Abnormality as statistical infrequency: This criterion defines abnormality based on behaviors or characteristics that deviate significantly from the statistical norm.

2. Abnormality as personal distress: This criterion focuses on the individual's subjective experience of distress or discomfort. It considers behaviors or experiences that cause significant emotional or psychological distress to the person as abnormal.

For instance, someone experiencing intense anxiety or depression may be considered abnormal based on personal distress.

3. Abnormality as others' distress: This criterion takes into account the impact of behavior on others. It considers behaviors that cause distress, harm, or disruption to others as abnormal.

For example, someone engaging in violent or aggressive behavior that harms others may be considered abnormal based on the distress caused to others.

4. Abnormality as unexpected behavior: This criterion defines abnormality based on behaviors that are considered atypical or unexpected in a given context or situation.

For instance, if someone starts laughing uncontrollably during a sad event, their behavior may be considered abnormal due to its unexpected nature.

5. Abnormality as highly consistent/inconsistent behavior: This criterion involves comparing an individual's behavior to both their own typical behavior and the behavior of others. Consistent or inconsistent patterns of behavior may be considered abnormal.

For example, if a person consistently engages in risky and impulsive behavior, it may be seen as abnormal compared to their own usually cautious behavior or the behavior of others in similar situations.

6. It considers behaviors that are maladaptive, causing difficulties in personal, social, or occupational areas. For instance, someone experiencing severe social anxiety that prevents them from forming relationships or attending school or work may be considered abnormal due to the disability it causes.

The medical model and classification systems used in physical illnesses have both value and limitations when applied to psychological disorders. They provide a structured framework for understanding and diagnosing psychological disorders, allowing for standardized assessment and treatment. However, they can oversimplify the complexity of psychological experiences and may lead to overpathologization or stigmatization.

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decimal answer is 31.6

fraction answer is 31 33/56

Answer: 31 33/56

Step-by-step explanation: I couldn't exactly interpret what you said, but if this is wrong you could just use an online calculator.

The value of x is SU/RV.

Value of subjective concept that refers to the word of important that an individual group of people places on the something it is often associated with principal beliefs and the standard that are accepted by society when you can be seen as a matter of how important something is true person of organization it is often seen as a reflection of funds for view and can help to save decision.


Given: SU = RV

Step 1: Set up the proportion using the given information
SU/RV = x/1

Step 2: Solve the proportion for x
SU/RV = x/1
Multiply both sides by 1: SU/RV * (1/1) = x/1 * (1/1)
SU/RV = x

Step 3: Substitute and solve
SU/RV = x
SU/RV = x
x = SU/RV

Therefore, the value of x is SU/RV.

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Answer:

(b-20)/4

Step-by-step explanation:

She had b beads initially and gave 20 to his sister;

what he would have now will be;

b - 20

So he made 4 beads with the remaining

To know the number of beads on each of the four , that will be dividing the number of beads we have left by 4

Mathematically;

that will be ;

(b-20)/4

Answer:

P = 116

Step-by-step explanation:

Supplementary angles add to 180

P+Q = 180

P +64 = 180

Subtract 64 from each side

P = 180-64

P =116

Answer:

\(\Huge \boxed{\angle P = 116 \° }\)

\(\rule[225]{225}{2}\)

Step-by-step explanation:

Two angles are supplementary when they add up to 180 degrees.

\(\angle Q + \angle P = 180\)

\(64 + \angle P = 180\)

Subtracting 64 from both sides,

\(\angle P = 116\)

\(\rule[225]{225}{2}\)

Answer:

Step-by-step explanation:

Hola!

Las variables aleatorias pueden Cualitativas o cuantitativas.

Las variables aleatorias cualitativas son aquellas que se refieren a atributos o características de los individuos o unidades de interés que no son cuantificables. Dentro de estas variables se pueden identificar dos tipos:

Ordinales: estas variables representan cierto tipo de cualidad que tiene un orden natural, por ejemplo: Opinión de una persona sobre una película de estreno, calificada en "muy buena", "buena", "regular", "mala", "muy mala"

Estas calificaciones son claramente cualidades, pero tienen un orden, todo el mundo sabe que una calificación "regular" es mejor que una "muy mala" y a su vez peor que una calificación "buena"

Nominales: Son aquellas que indican atributos no cuantificables que no tienen un orden natural. Por ejemplo, color de cabello, raza, sexo.  

Las variables aleatorias cuantitativas son aquellas que registran valores numéricos, dicho de manera coloquial: "cuentan cosas". Estas variables siempre toman valores dentro de un rango o intervalo de definición, teniendo esto en cuenta podemos definir dos tipos de variables aleatorias cuantitativas:

Continuas: pueden tomar cualquier valor dentro del intervalo de definición de la variable, por ejemplo, la estatura, el peso, la temperatura, entre un valor y otro existen infinita cantidad de valores que la variable puede tomar. En muchos casos, esto está restringido a la precisión de los métodos utilizados para tomar las mediciones.  

Por ejemplo, una balanza puede tomar pesos de kilogramo a kilogramo, ej: 20kg, 21kg, 22kg mientras que una más precisa puede tomar pesos intermedios de los mismos objetos, ej: 20.1kg, 21.5kg, 22.9kg y otra más precisa puede indicar mediciones más exactas, ej: 20.142kg, 21.538kg, 22.973kg es decir que, cuanto más precisa la balanza que usemos para obtener las mediciones, mayor será la gama de valores que puede tomar la variable.

Discretas: solo pueden tomar ciertos valores dentro del intervalo de definición de la variable aleatoria, a diferencia de las variables continuas, entre los valores posibles que pueden tomar estas variables, no se encuentra nada, es decir que "saltan" de valor en valor. Por esto también se las llama variables discontinuas.

Uno de los ejemplos más comunes de variable discreta es hacer rodar un dado de 6 caras, la variable puede tomar valores 1, 2, 3, 4, 5, 6 pero no puede tomar valores entre esos valores, es decir, el dado nunca va a mostrar valores intermedios como "2.5" o "3.3".

Dicho esto pasemos a identificar el tipo de cada ejemplo:

a) y c) Calidad del producto

Esta es algo engañosa, porque todo depende de la escala determinada para medir la calidad.

Es decir, si la escala de medición de la calidad de un objeto es de 0 a 10, siendo cero lo peor y 10 lo mejor, entonces la variable es cuantitativa discreta.

Sin embargo, si la escala es nominal, por ejemplo: Alto, medio, bajo, entonces la variable es cualitativa y como las categorías tienen un orden natural, no solo es cualitativa, sino que también es ordinal.

b) y d) Tiempo de publicidad

Esta variable aleatoria "cuenta el tiempo", toma valores numéricos con lo cual es cuantitativa y, además, puede tomar cualquier valor dentro del intervalo de definición, todo depende de la precisión del reloj utilizado lo que la califica como variable continua.

Espero que tengas un buen días!

To find the factors of the expression 12x^2 - 4x - 1, we can use the factor theorem. The factor theorem states that if a polynomial expression evaluates to zero when a certain value is substituted for the variable, then that value is a factor of the polynomial.

To determine if a certain value is a factor of the expression, we can use synthetic division. Synthetic division involves dividing the polynomial expression by the possible factor to check if the remainder is zero. If the remainder is zero, then the value is a factor.

Let's start by checking if x = 1 is a factor of the expression:

    1 | 12 - 4 - 1
      |     12   8
      |____________
       12   8   7

Since the remainder is not zero, x = 1 is not a factor of the expression.

Next, let's check if x = -1 is a factor of the expression:

   -1 | 12 - 4 - 1
      |    -12  16
      |____________
       12 -16  15

Again, the remainder is not zero, so x = -1 is not a factor of the expression.

Now, let's check if x = 2 is a factor of the expression:

    2 | 12 - 4 - 1
      |     24 40
      |____________
       12  20 39

Once again, the remainder is not zero, so x = 2 is not a factor of the expression.

Finally, let's check if x = -2 is a factor of the expression:

   -2 | 12 - 4 - 1
      |    -24 56
      |____________
       12 -28 55

As we can see, the remainder is not zero, so x = -2 is not a factor of the expression.

After checking all the possible factors, we can conclude that none of the values tested (1, -1, 2, -2) are factors of the expression 12x^2 - 4x - 1.

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Answer:

The slope of the descent is 0.12 rounded to the nearest hundredth

Step-by-step explanation:

The given parameters are;

The vertical distance of descent of Bobba Dean = 1600 feet

The horizontal distance Bobba Dean has moved from the mountain high point = 2.5 miles

1 mile = 5,280 feet

∴ 2.5 miles = 2.5 × 5,280 feet = 13,200 feet

The slope of the descent = (The change in vertical elevation of Bobba Dean)/(The change in horizontal position from the high point of the mountain, by Bobba dean)

∴ The slope of the descent = (1600 feet descent)/(13,200 feet) = 4/33

The slope of the descent = 4/33 = 0.12 rounded to the nearest hundredth