Plsss help want is the second answer

a) X'Y' + X'Y + XY simplifies to X' + Y.

b) A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the functions:

a) Complement is W' + X' + YZ.

b) Complement is (A' + B + C)(A'B' + C' + A'B).

a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:

X'Y' + X'Y + XY

= Y'(X' + X) + XY(Distributive Law)

= Y' + XY(X + X' = 1)

= X' + Y(Commutative Law)

Therefore, X'Y' + X'Y + XY simplifies to X' + Y.

b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:

A'BC' + ABC' + BC'D

= BC'(A' + A) + BC'D   (Distributive Law)

= BC' + BC'D(A + A' = 1)

= BC'(BC' + BC'D = BC' + BC'(1) = BC')

Hence, A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the given functions:

a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.

b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).

Learn more About Distributive Law from the given link

https://brainly.com/question/25224410

#SPJ11

The interval the value of the function (f - g)(x) is negative is (-∞, 2]

A function is a rule or definition that maps an input variable unto an output such that each input has exactly one output.

The equations on the possible graphs in the question, obtained from a similar question posted online are;

f(x) = x - 3

g(x) = -0.5·x

(f - g)(x) = x - 3 - (-0.5·x) = 1.5·x - 3

(f - g)(x) = 1.5·x - 3

Therefore; The x-intercept of the function (f - g)(x) = 1.5·x - 3 is; (f - g)(x) = 0 1.5·x - 3

1.5·x - 3 = 0

1.5·x = 3

x = 3/1.5 = 2

x = 2

The y-intercept is the point where, x = 0, therefore;

(f - g)(0) = 1.5×0 - 3 = -3

The interval the function is negative is therefore;

The equations of the possible graphs of the function, obtained from a question posted online are;

f(x) = x - 3, g(x) = -0.5·x

The interval the function (f - g)(x) is negative is required

Learn more on the x- and y-intercept of a function here: https://brainly.com/question/29001994

#SPJ1

1. A = 45°         B = 110°

2. B = 88°        C = 44°

3. A = 59°        B = 48°        C= 73°

4. The measure of the exterior angle is 108°

5. The tornado's direction needs to change by 30°

The sum of interior angles of triangle is always equal to 180°.

Now let's apply it in the given questions.

1. A = x

B = x + 65

C = 25

So, x + x + 65 + 25 = 180

2x = 180 - 90

x = 90/2

x = 45°

2. x + 48 + x - 44 = 180

2x = 180 - 4

x = 176/2

x = 88°

3. x + 73 + x - 11 = 180

2x = 180 - 62

x = 118/2

x = 59°

4. Let the third interior angle be b.

2a + b = 180

b = 180 - 2a

now by applying angle sum property

a + 10 + 44 + 180 - 2a = 180

2a - a = 54

a = 54°

the exterior angle is 2a that is 54*2 = 108°

5. For the tornado to deviate and pass through radar station instead of cell phone tower the angle that needs to be made will be nothing but the third interior angle of the triangle as the tornado is at the vertex.

Let us suppose the angle to be y

so y + 75 + 75 = 180

y = 180 - 150

y = 30°

To know more about interior and exterior angles of triangle

https://brainly.com/question/12834063

#SPJ1

Markov chain model with periodic classes of states can be exemplified by a weather model and ergodic system in a Markov chain is the game of Monopoly.

Example of Markov chain with periodic classes of states:

One example of a Markov chain model with periodic classes of states is a weather model that includes seasonal variations. Let's consider a simplified model with three states: sunny, cloudy, and rainy. In this model, the weather is observed over a long period of time, and it is known that the weather tends to follow a cyclic pattern, transitioning from one season to another. The stochastic matrix representing this Markov chain will have non-zero probabilities for transitions between states within the same season (e.g., sunny to sunny, cloudy to cloudy, rainy to rainy), but zero probabilities for transitions between states in different seasons (e.g., sunny to rainy, rainy to cloudy). This creates periodic classes or groups of states that correspond to the different seasons, resulting in a Markov chain with periodic behavior.

Example of ergodic system in a Markov chain:

A common example of an ergodic system in a Markov chain is the game of Monopoly. In Monopoly, players move around the board based on the outcome of rolling dice. The states in this Markov chain correspond to the positions on the board. Each roll of the dice determines the transition probabilities from one state (position) to another. In an ergodic system, it means that it is possible to reach any state from any other state in a finite number of steps. In the context of Monopoly, this means that players can move from any position on the board to any other position by rolling the dice and following the game rules. The stochastic matrix for this Markov chain will have non-zero probabilities for transitions between all states, reflecting the possibility of moving to any position on the board from any other position.

In summary, a Markov chain model with periodic classes of states can be exemplified by a weather model that represents the cyclic nature of seasons, while an example of an ergodic system in a Markov chain is the game of Monopoly, where players can reach any position on the board from any other position through successive dice rolls and gameplay.

Learn more about ergodic system here:

brainly.com/question/31808375

#SPJ11

Answer: The distance between a and c is 8 units

Step-by-step explanation:

You can count the number of units they are apart, but if there isn’t a grid, then do this:

If x or y values in the ordered pairs are different, subtract them from each other and find the absolute value of the difference. (It’s my own rule, so there is a better method. My explanation apples only to ordered pairs that share a x or y value, like A and C)

2-(-6) = 8, and the absolute value of 8 is 8

Or

(-6)-2 = (-8), and the absolute value of -8 is 8 (You’ll get the same answer)

Answer:

The correct solution is "\(10g^3+2g^2+17g-14\)".

Step-by-step explanation:

The given expression is:

= \((10g^3-8g^2+5g-14)+(10g^2+12g)\)

By opening the brackets, we get

=  \(10g^3-8g^2+5g-14+10g^2+12g\)

By applying addition and subtraction, we get

= \(10g^3+2g^2+17g-14\)

Or,

The expression isn't a perfect cube.

Answer:

See below

Step-by-step explanation:

The MLE of σ² is a biased estimator of σ²

The maximum likelihood estimator (MLE) of σ² is a biased estimator, we need to demonstrate that its expected value is different from the true population variance, σ².

Let's start with the definition of the MLE of σ². In the context of simple linear regression, the MLE of σ² is given by:

MLE(σ²) = SSE/n

where SSE represents the sum of squared errors and n is the number of observations.

The expected value of the MLE, we need to take the average of all possible values of MLE(σ²) over different samples.

E(MLE(σ²)) = E(SSE/n)

Since the expectation operator is linear, we can rewrite this as:

E(MLE(σ²)) = 1/n × E(SSE)

Now, let's consider the expected value of the sum of squared errors, E(SSE). In simple linear regression, it can be shown that:

E(SSE) = (n - k)σ²

where k is the number of predictors (including the intercept) in the regression model.

Substituting this result back into the expression for E(MLE(σ^2)), we get:

E(MLE(σ²)) = 1/n × E(SSE)

= 1/n × (n - k)σ²

= (n - k)/n × σ²

Since (n - k) is less than n, we can see that E(MLE(σ²)) is biased and different from the true population variance, σ².

Therefore, we have shown that the MLE of σ² is a biased estimator of σ².

To know more about biased estimator click here :

https://brainly.com/question/32608862

#SPJ4

The question is incomplete the complete question is :

Show that σ² = SSE/n, the maximum likelihood estimator of σ² is a biased estimator of σ²?

El resultado de esta división es 0.010

Para solucionar la operación matemática debemos realizar los siguientes pasos:

Aprenda más sobre división en: https://brainly.com/question/24592547

#SPJ1

The required volume of the right circular cone is 135.83409in³.

A right circular cone is one whose axis is the line between the vertex and the circular base's midway.

In other words, a right angle is formed when the center point of the circular base and the cone's peak are united.

So, the right circular cone volume formula:

V=1/3hπr²

Diameter = 8.8 in

Radius = 8.8/2 = 4.4 in
Now, calculate the volume as follows:

V = 1/3hπr²

V = 1/3(6.7)π(4.4)²

V = 135.83409 in³

Therefore, the required volume of the right circular cone is 135.83409in³.

Know more about the right circular cone here:

https://brainly.com/question/21926193

#SPJ1

With the help of given expression 2n + 1 = 157,  the first number is 78.

What exactly are expressions?

In mathematics, an expression is a combination of numbers, symbols, and operators that represent a value. It can be a single term, or it can be a combination of terms connected by operators. For example, 2x + 5 is an expression with two terms connected by the operator +. Expressions can also include functions, variables, and constants.

Now,

Let's assume the first number be x=n. Then the next consecutive number will be x+1.

According to the given information, the sum of the two consecutive numbers is 157.

So, we can write the equation as:

x + (x+1) = 157

Simplifying the equation, we get:

2x + 1 = 157

Subtracting 1 from both sides, we get:

2x = 156

Dividing both sides by 2, we get:

x = 78

i.e. n=78

Therefore, the first number is 78.

So, the correct answer is B) 78.

To know more about expressions visit the link

brainly.com/question/13947055

#SPJ1

Answer:

set (0,1)

Step-by-step explanation:

-3x+3<6

6-3>-3x

3>3x

x>1

s.s (0,1)

Answer:

−3x + 3 < 6

= x > −1

Step-by-step explanation:

divide both sides by factors that do not contain the variable

Brainliest?

An infinite geometric series is one in which each term is equal to the preceding term multiplied by a fixed non-zero number, known as the common ratio.

The first term is called a1, and the common ratio is represented by r.In this particular question, we are required to find the value of a1 and r for an infinite geometric series. The partial sum S2 will also need to be found.For a geometric sequence that is infinite, the formula for the partial sum, Sn, is:Sn = a1 / (1-r), where a1 is the first term and r is the common ratio.To solve for a1, it is necessary to know two other variables: the common ratio r and the value of the first term a1. S2 is the sum of the first two terms, so: S2 = a1 + arTo find S2, we must first determine a1 and r. a1 is the first term in the sequence, and r is the common ratio. We can obtain both a1 and r by dividing the second term by the first term.The formula is:r = (ar/a1) = a2/a1 Substitute the value of r and a1 into the formula for S2 to obtain the result: S2 = a1 + ar = a1 + a1r = a1(1+r) Therefore, the value of a1 is a constant number that will appear in the series, and the common ratio, r, will be multiplied by this number to obtain the next value in the series.

So, a1 is the first term, and r is the common ratio of the infinite geometric series. S2, the sum of the first two terms, is found by using the formula S2 = a1 + ar where a1 is the first term and r is the common ratio.

To know more about Geometric series visit-

https://brainly.com/question/30264021

#SPJ11

Answer:

1

1

1

11

11

235

5

6

65

6

444444444

4566

Answer:

7/16

Step-by-step explanation:

(-3/8)/(-6/7) = (-3x7)/(8 x (-6)) = (-21)/(-48) = 7/16.

Answer:

g(f(3)) = 19

Step-by-step explanation:

This would be your functions: \(\displaystyle{f(x)=2x^2+x-7}\) and \(\displaystyle{g(x)=x+5}\). In order to evaluate g(f(3)), we must find the value of f(3) first which we can find by substituting x = 3 in the f(x).

\(\displaystyle{f(3)=2(3)^2+3-7}\\\\\displaystyle{f(3)=2\cdot 9 - 4}\\\\\displaystyle{f(3)=18-4}\\\\\displaystyle{f(3)=14}\)

Therefore, g(f(3)) is basically equal to g(14), we substitute x = 14 in the g(x).

\(\displaystyle{g(f(3))=g(14)=14+5 = 19}\)

Hence, g(f(3)) is 19.

The null hypothesis of the research is that there is no relationship between gratitude and prosocial attitudes.

A study has been carried out to determine the relationship between gratitude and prosocial attitudes. JASP is used to run a Pearson correlation test between gratitude and prosocial attitudes. The null hypothesis of this study is that there is no correlation between gratitude and prosocial attitudes.

In this investigation, the Pearson correlation is used. This research aims to identify the relationship between gratitude and prosocial attitudes. It can be difficult to determine whether or not there is a correlation between two variables. Pearson's correlation is a statistical method that can be used to examine the correlation between two variables.

This research is carried out with the hypothesis that there is a relationship between gratitude and prosocial attitudes. In this study, the null hypothesis of the research is that there is no relationship between gratitude and prosocial attitudes.

See more information about null hypothesis in: https://brainly.com/question/4436370

#SPJ11

Answer:

4

Step-by-step explanation:

4 x 4 is 16 and then because of the negative you take away 4 so its 12.

Answer:

a=4

Step-by-step explanation:

-4+4a=12

add four to 12

4a=16

divide

Range: All real numbers greater than or equal to 3. The Option C.

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

Read more about Range

brainly.com/question/14209611

#SPJ1

Answer:

(5,6), (3, 6) and (3, 5).

Step-by-step explanation:

If we imagine the line y = x to be a mirror , the image of each point is the same perpendicular distance to the mirror has the original point.

So the image of (6,5) = (5,6)

(6, 3) ---> ( 3, 6)

(5,3) ---> (3, 5).

Note that the coordinates are reversed in each case.

In this case the general rule for the reflection is  (x, y)  ---> (y, x).

The shadow lengthens at a rate of 8.32 ft/sec when the woman is 35 ft from the base of the pole.

To calculate the rate at which the shadow lengthens, we can use similar triangles. Let's denote the length of the shadow as \(\(s\)\) and the distance of the woman from the pole as . According to the problem, the height of the pole is 13 ft and the height of the woman is 6.25 ft.

We can set up a proportion between the similar triangles:

\(\(\frac{{s + 13}}{x} = \frac{13}{6.25}\)\)

To solve for \(\(s\)\), we can cross-multiply and simplify:

\(\(6.25 \cdot (s + 13) = 13 \cdot x\) \\\(6.25s + 81.25 = 13x\)\)

Now, we differentiate both sides with respect to time \((\(t\))\):

\(\(\frac{d}{dt}(6.25s + 81.25) = \frac{d}{dt}(13x)\)\\\\\(6.25 \cdot \frac{ds}{dt} = 13 \cdot \frac{dx}{dt}\)\)

We are given that \(\(\frac{dx}{dt}\)\) (the rate at which the woman is approaching the pole) is 4 ft/sec. Substituting this value, we can solve for \(\(\frac{ds}{dt}\)\):

\(\(6.25 \cdot \frac{ds}{dt} = 13 \cdot 4\) \\\(\frac{ds}{dt} = \frac{13 \cdot 4}{6.25}\) \\\(\frac{ds}{dt} = \frac{52}{6.25}\) \\\(\frac{ds}{dt} \approx 8.32\) ft/sec\)

Therefore, the shadow lengthens at a rate of approximately 8.32 ft/sec when the woman is 35 ft from the base of the pole.

To learn more about similarity of triangles, refer here-

brainly.com/question/14285697#

#SPJ11

a) The probability that exactly one home will have a large-screen TV set is 0.301.

b) The probability that less than two homes will have a large-screen TV set is 0.174.

c) The probability that at least two homes will have a large-screen TV set is 0.826.

d) The mean and variance of this probability distribution are 1.47.

Let X be the number of homes with large-screen TV sets in a random sample of eight homes. Then X follows a binomial distribution with parameters n=8 and p=0.58.

a) To find the probability that exactly one home will have a large-screen TV set, we use the formula for the probability mass function of the binomial distribution:

P(X=1) = (\({}^8C_1\)) × \((0.58)^1\) × \((1-0.58)^7\) = 0.301

b) To find the probability that less than two homes will have a large-screen TV set, we need to find P(X<2). This can be calculated as follows:

P(X<2) = P(X=0) + P(X=1) = (\({}^8C_0\)) × \((0.58)^0\) × \((1-0.58)^8\) + (\({}^8C_1\)) × \((0.58)^1\) × \((1-0.58)^7\) ≈ 0.174

c) To find the probability that at least two homes will have a large-screen TV set, we need to find P(X≥2). This can be calculated using the complement rule:

P(X≥2) = 1 - P(X<2) = 1 - [(\({}^8C_0\)) * \((0.58)^0\) × \((1-0.58)^8\) + (\({}^8C_1\)) × (0.58)^1 * \((1-0.58)^7\)] ≈ 0.826

d) The mean and variance of a binomial distribution with parameters n and p are given by:

Mean = np = 80.58 = 4.64

Variance = np(1-p) = 80.580.42 = 1.47

Therefore, the mean of this probability distribution is 4.64 and the variance is 1.47.

Learn more about the probability at

https://brainly.com/question/30034780

#SPJ4

The last option "As the number of files increases, the storage space used increases" best describes the relationship between storage space and number of music files based on the table provided.

In mathematics, an equation is a statement that indicates the equality of two mathematical expressions. An equation contains an equal sign (=) between two expressions, which means that the expressions on both sides of the equal sign have the same value. An equation can have one or more variables, which are typically represented by letters, such as x, y, or z. The values of these variables that satisfy the equation are called the solutions or roots of the equation. Equations are used in a wide range of mathematical fields, including algebra, calculus, geometry, and physics. They are used to model various real-world phenomena and to solve mathematical problems.

Here,

As we move down the table, we can see that the number of files is increasing while the storage space is also increasing. For example, when there are 10 music files, the space used is 15 megabytes. When the number of files is doubled to 20, the space used also doubles to 30 megabytes. This pattern continues for each row in the table.

Therefore, we can conclude that there is a direct relationship between the number of music files and the amount of storage space used.

To know more about equation,

https://brainly.com/question/2228446

#SPJ1

Answer:

"As the number of files increases, the storage space used increases"

To calculate accurate vital statistics rates to represent the entire United States, the quotient is multiplied by an appropriate factor such as 1,000 or 100,000 to represent the larger population.

As it is given in the description itself, to compute accurate vital statistics rates for the full United States, multiply the quotient by a suitable factor, such as 1,000 or 100,000 to represent the greater population.

Therefore, to calculate accurate vital statistics rates to represent the entire United States, the quotient is multiplied by an appropriate factor such as 1,000 or 100,000 to represent the larger population.

Know more about vital statistics here:

https://brainly.com/question/21852520

#SPJ4

The equation of wave is y= 1 sin (x+ π/2).

We know, The general equation for a sine wave is:

y = A sin(Bx + C) + D

where:

A is the amplitude (the maximum displacement of the wave from its equilibrium position)

B is the wave number (which is related to the wavelength)

C is the phase angle (which determines the horizontal shift of the wave)

D is the vertical shift (the displacement of the equilibrium position)

So, in general, the equation for a sine wave takes the form of

y = amplitude . sin(wave number  x + phase angle) + vertical shift.

Now, from the graph the phase angle is π/2.

and, Amplitude = 1

Thus, the equation of wave is y= 1 sin (x+ π/2).

Learn more about Wave function here:

https://brainly.com/question/17484291

#SPJ1

Answer:

It’s decrasing, then increasing

Step-by-step explanation: sense the x value is constant I’m guessing its asking about the y value which decreases from 4+ to -2 then back up

Answer:

24p-35

Step-by-step explanation:

Expand 4(6p-9)

=1+24p-36

Simplify 1+24p-36

=24p-35

Hope this helped!!!

Answer:

24p - 35

Step-by-step explanation:

1 + 4 ( 6p - 9 ) (multiply 4 x 6p = 24p and 4 x 9 = 36 )

1 +  24p - 36   ( subtract 1 on both sides on 1 and 36)

-1              -1     ( 36 - 1 = 35 )

       24p  - 35

Answer:

\(x = 7 \: or \: - 7\)

Step-by-step explanation:

...............maybe

Answer:

as the other person said its 7,-7

Step-by-step explanation:

hope its right olo --______--