f(x) = -4 - 6. Find the inverse of f(x) and its domain.

Since Login has three checkerboards with equal length and width, let’s assume that each square has a side length of x. The area of each square is then given by x2. Since Logan has three squares, the total area is given by:3x2 = 147We can solve for x as follows:3x2 = 147x2 = 49x = √49 = 7.

The length of each side of each of Login’s checkerboard is 7 cm.Long Answer:Logan has 3 perfectly square checkerboards. The total area of his 3 checkerboards is 147 square centimeters. We can assume that all the 3 checkerboards have equal length and width, let x be the side length of each square. Therefore, we can say the area of each square is x².

The total area of the three squares can be represented as:3x² = 147Let’s now isolate x:3x² / 3 = 147 / 3x² = 49x = √49 = 7Hence, each square of Login’s checkerboard has a side length of 7 centimeters. Since Logan has three checkerboards with equal length and width, let’s assume that each square has a side length of x. The area of each square is then given by x2. Since Logan has three squares, the total area is given by:3x2 = 147We can solve for x as follows:3x2 = 147x2 = 49x = √49 = 7.

To know more about checkerboards visit:

https://brainly.com/question/29194690

#SPJ11

The value of $\#(\&4)$ is 81. We first evaluated $\&4$ using the definition given, which gave us the value 9. Then, we substituted this value into the definition of $\#x$ to find the final answer of 81.

To find the value of $\#(\&4)$, we first need to evaluate $\&4$. Using the given definition of $\&x$, we have:

$$\&4 = 4 + 5 = 9$$

Now, we can substitute this value into the definition of $\#x$:

$$\#(\&4) = \#9 = 9^2 = 81$$

Therefore, the value of $\#(\&4)$ is 81. We first evaluated $\&4$ using the definition given, which gave us the value 9. Then, we substituted this value into the definition of $\#x$ to find the final answer of 81.
To find the value of #(&4), let's first compute &4.

According to the definition, &x = x + 5. So, &4 = 4 + 5 = 9.

Now we need to find the value of #9. The definition of #x is x², which means #9 = 9² = 81.

Therefore, the value of #(&4) is 81.

To know more about Value visit :

https://brainly.com/question/30145972

#SPJ11

The probability that the cab involved in the incident was Blue rather than Green, given that the witness identified it as Blue, is approximately 0.4138 or 41.38%.

To determine the probability that the cab involved in the incident was Blue rather than Green, we can use Bayes' theorem.

Let's define the events:

A: The cab involved in the incident was Blue.

B: The witness identified the cab as Blue.

We are given the following probabilities:

P(A) = 0.15 (15% of cabs are Blue)

P(B|A) = 0.80 (the witness correctly identified a Blue cab as Blue)

P(B|¬A) = 0.20 (the witness incorrectly identified a Green cab as Blue)

We want to calculate the probability that the cab was Blue given that the witness identified it as Blue, i.e., P(A|B).

According to Bayes' theorem:

P(A|B) = (P(B|A) * P(A)) / P(B)

To calculate P(B), we need to consider the probabilities of two mutually exclusive events:

The witness identified a Blue cab correctly (event A) and

The witness identified a Green cab incorrectly (event ¬A).

Therefore, P(B) = P(B|A) * P(A) + P(B|¬A) * P(¬A)

P(¬A) = 1 - P(A) = 1 - 0.15 = 0.85 (85% of cabs are Green)

Now, we can substitute the given values into Bayes' theorem:

P(A|B) = (P(B|A) * P(A)) / (P(B|A) * P(A) + P(B|¬A) * P(¬A))

= (0.80 * 0.15) / (0.80 * 0.15 + 0.20 * 0.85)

= 0.12 / (0.12 + 0.17)

= 0.12 / 0.29

≈ 0.4138

Therefore, the probability that the cab involved in the incident was Blue rather than Green, given that the witness identified it as Blue, is approximately 0.4138 or 41.38%.

for such more question on probability

https://brainly.com/question/13604758

#SPJ11

9514 1404 393

Answer:

Step-by-step explanation:

It is helpful to remember that opposite angles of an inscribed quadrilateral are supplementary. This lets you find the value of m.

  ∠A +∠K = 180°

  8m° +10m° = 180°

  18m = 180

  m = 180/18 = 10

Using this value we can find ...

  ∠H = 5m° = 5·10° = 50°

  ∠A = 8m° = 8·10° = 80°

  ∠W = 180° -∠H = 180° -50° = 130°

Answer:

18 mph

Step-by-step explanation:

12.6 × 5 =68.0. 68 - 50 = 18

From the given information provided, the number of people having brown eyes in town is 180.

If the probability that a person in the town has brown eyes is 2/5, then we can expect that 2 out of every 5 people have brown eyes.

To find the number of people in the survey who would be expected to have brown eyes, we can use the following proportion:

(2/5) = (x/450)

where x is the number of people expected to have brown eyes.

Solving for x, we can cross-multiply:

5x = 2 × 450

5x = 900

x = 180

Therefore, the expected number of people in the survey who would have brown eyes is 180.

Learn more about probability here: brainly.com/question/251701

#SPJ4

Step-by-step explanation:

I assume you mean this:

2 + (2/(3x)) = 3/4

Multiply both sides by 4.

8 + (8/(3x)) = 3

Multiply both sides by 3x.

24x + 8 = 9x

Answer:

Below

Step-by-step explanation:

● 2 + (2/3x) = 3/4

3/4 is 0.75

● 2 +(2/3x) = 0.75

Muliply both sides by 3

● 3(2+(2/3x) = 3 × 0.75

● 6 + 2x = 2.25

The number of terms in the expression, 6 + 2 x - 4 y + 5 z is 4 terms.

In the expression 6 + 2x - 4y + 5z, the number of terms is four, not the number of signs. The terms in this expression are:

Each term is separated by an operator (either addition or subtraction), which is represented by a sign. Therefore, the expression contains three addition signs and one subtraction sign.

Find out more on the number of terms at https://brainly.com/question/30659621

#SPJ1

The full question is:

How many terms are in the following expression 6 + 2 x - 4 y + 5 z

Answer:

real part: 4

imaginary part: -10i

Step-by-step explanation:

Edge2020

Answer:

Real part is 4

Imaginary part is -10

Step-by-step explanation:

Those are the answers on edge

Arithmetic Average Return = 19%

Standard Deviation = 0.307 or 30.7%

Average Nominal Risk Premium = 13.9%

a. The arithmetic average return on the company's stock over this five-year period is:

Arithmetic Average Return = (21% + 17% + 26% + 27% + 4%) / 5

Arithmetic Average Return = 19%

b. To calculate the variance, we first need to find the deviation of each return from the average return:

Deviation of Returns = Return - Arithmetic Average Return

Using the arithmetic average return calculated in part (a), we get:

Deviation of Returns = (21% - 19%), (17% - 19%), (26% - 19%), (27% - 19%), (4% - 19%)

Deviation of Returns = 2%, -2%, 7%, 8%, -15%

Then, we can calculate the variance using the formula:

Variance = (1/n) * Σ(Deviation of Returns)^2

where n is the number of observations (in this case, n=5) and Σ means "the sum of".

Variance = (1/5) * [(2%^2) + (-2%^2) + (7%^2) + (8%^2) + (-15%^2)]

Variance = 0.094 or 9.4%

The standard deviation is the square root of the variance,

Standard Deviation = √0.094

Standard Deviation = 0.307 or 30.7%

c. The average nominal risk premium on the company's stock is the difference between the average return on the stock and the average T-bill rate over the period. The average T-bill rate is given as 5.1%, so:

Average Nominal Risk Premium = Arithmetic Average Return - Average T-bill Rate

Average Nominal Risk Premium = 19% - 5.1%

Average Nominal Risk Premium = 13.9%

To know more about Standard Deviation refer here:

https://brainly.com/question/23907081

#SPJ11

The probability that the chosen student, a grade 8 student, likes skiing over ice skating is 53.89%.

Given that,

A survey of middle school students asked what is your favorite winter sport so they have given the result in the table we can see.

Below is a summary of the findings. A participant from this study is chosen at random from among these 545 students, who serve as the sample space.

We have to find what is the probability that the chosen student, a grade 8 student, likes skiing over ice skating.

The total 8th grade are 180

The skiing are 171

The ice skating are 163

Probability = 180/(171+163) = 0.5389 = 53.89%

Therefore, the probability that the chosen student, a grade 8 student, likes skiing over ice skating is 53.89%.

To learn more about probability visit: https://brainly.com/question/11234923

#SPJ4

If this is a sample of 6 scores, then  SS using the definitional formula would equal 17.5.

To find the SS (sum of squares) using the definitional formula, you need to first calculate the mean of the scores. Here's

1. Calculate the mean (µ) using ∑x and the number of scores (n):
Mean (µ) = (∑x) / n
µ = 39 / 6
µ = 6.5

2. Use the computational formula for SS:
SS = ∑x² - ( (∑x)² / n )
SS = 271 - (39² / 6)
SS = 271 - (1521 / 6)
SS = 271 - 253.5

3. Calculate sample score SS:
SS = 17.5

So, the answer is 17.5.

Learn more about Sample:

brainly.com/question/27860316

#SPJ11

He started walking away from his automobile(Time) 6 seconds ago.

Let point C represent can and point A can be starting point and B is end point of celeb .

Now according to question,

CA = 8 feet

and CB = 20 feet

Distance covered = 20 - 8 = 12 feet

given speed is 2 feet per second

distance covered / time =2

12 / time = 2

Time = 6 seconds

Hence, time elapsed is 6 seconds

To learn more about Distance click here:

brainly.com/question/15172156

#SPJ4

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

 The solution to the given initial value problem is x(t) = 2 + 4t - 2e^(2t).

To solve the given initial value problem using Laplace transform, we follow the steps:

Take the Laplace transform of both sides of the differential equation using the properties of the Laplace transform.

L[x"(t)] - 2L[x'(t)] = L[6 - 4t]

The Laplace transform of x"(t) is denoted as s^2X(s), where X(s) is the Laplace transform of x(t). Similarly, the Laplace transform of x'(t) is denoted as sX(s). Applying these transformations, we get:

s^2X(s) - 2sX(s) - 2 = 6/s^2 - 4/s

Simplify the equation and solve for X(s).

Combining like terms and rearranging the equation, we have:

X(s) = (6/s^2 - 4/s + 2)/(s^2 - 2s)

Find the inverse Laplace transform of X(s) to obtain the solution x(t).

Using partial fraction decomposition, we can express X(s) as a sum of simpler fractions:

X(s) = 2/s + (4/s^2) - (2/(s-2))

Taking the inverse Laplace transform of each term, we get:

x(t) = 2 + 4t - 2e^(2t)

Apply the initial conditions to determine the specific values of the constants in the solution.

Since x'(0) = 0, we differentiate the solution with respect to t:

x'(t) = 4 - 4e^(2t)

Setting t = 0, we have:

x'(0) = 4 - 4e^0 = 0

This condition is satisfied, indicating that the initial conditions are consistent with the solution.

Therefore, the solution to the given initial value problem is x(t) = 2 + 4t - 2e^(2t).

Know more about Consistent  here:

https://brainly.com/question/30321733

#SPJ11

Answer:

x=20

Step-by-step explanation:

The two angles added together make 180

3x-10 +5x+30 = 180

8x +20 = 180

8x = 160

x=20

Answer:

b-14.99=40.01

Step-by-step explanation:

He used 14.99 dollars so you have to subtract that from the total.

Answer:

Hi! The correct answer is b-14.99=40.01 and b=$55

Step-by-step explatnation:

~Move all terms not containing b to the right side of the equation~

Answer:

\(\frac{x-22}{(x+2)(x-4)}\)

Step-by-step explanation:

multiply the numerator/denominator of the first fraction by (x - 4)

multiply the numerator/denominator of the second fraction by (x + 2)

this ensures that the fractions have a common denominator

\(\frac{4}{x+2}\) - \(\frac{3}{x-4}\)

= \(\frac{4(x-4)}{(x+2)(x-4)}\) - \(\frac{3(x+2)}{(x+2)(x-4)}\) ← subtract numerators leaving the common denominator

= \(\frac{4x-16-3x-6}{(x+2)(x-4)}\)

=\(\frac{x-22}{(x+2)(x-4)}\)

The probability of the asked events is 1/220

Probability is the study of the mathematics of calculating the likelihood that particular events will happen.

Given that, a bag contains three red marbles, three green ones, one fluorescent pink one, four yellow ones, and two orange ones. Susan grabs four at random.

There are 13 marbles in total, and she will pick 4, if we are given that she already has fluorescent pink, therefore, now probability of getting 3 red marbles out of 12,

The number of favorable case is 1, and the total outcome = ¹²C₃ = 220

So, the probability = 1/220

Hence, the probability of the asked events is 1/220

Learn more about probability, click;

https://brainly.com/question/30034780

#SPJ3

Answer:

He attended school for 9 hours everyday

Step-by-step explanation:

612/68=9

This is because he did 9 hours everyday for 68 days until he go 612 hours of barber school, which means that 612 hours/68 days=hours attended per day

Remember that

The formula to calculate the distance between two points is given by

we have the points

house (-6, 8) and the store (7, -1)

substitute the given coordinates in the formula above

therefore

For each given sample result, the p-value and conclusion are as follows:

a. p-value = 0.0067, Conclusion: Reject H0,  b. p-value = 0.0830, Conclusion: Fail to reject H0, c. p-value = 0.0322, Conclusion: Reject H0

d. p-value = 0.6221, Conclusion: Fail to reject H0

The p-value is a measure of the evidence against the null hypothesis (H0). It represents the probability of obtaining a sample result as extreme as or more extreme than the observed result, assuming the null hypothesis is true. A p-value less than the significance level (α) indicates strong evidence against the null hypothesis and suggests that the alternative hypothesis (Ha) may be true.

a. For p = .68, we need to determine the probability of observing a sample proportion as extreme as or less than .68, assuming the null hypothesis is true. By conducting the appropriate statistical test (e.g., using the normal approximation to the binomial distribution), we find the p-value to be 0.0067. Since the p-value is less than α = .05, we reject the null hypothesis and conclude that there is evidence to support the claim that the proportion is less than .75.

b. For p = .72, the p-value represents the probability of observing a sample proportion as extreme as or less than .72. Calculating the p-value using the appropriate statistical test yields 0.0830. Since the p-value is greater than α = .05, we fail to reject the null hypothesis. Therefore, we do not have sufficient evidence to conclude that the proportion is less than .75.

c. With p = .70, the p-value indicates the probability of observing a sample proportion as extreme as or less than .70. The calculated p-value is 0.0322. As the p-value is less than α = .05, we reject the null hypothesis and conclude that there is evidence to suggest that the proportion is less than .75.

d. For p = .77, the p-value represents the probability of observing a sample proportion as extreme as or greater than .77. After performing the necessary calculations, we find the p-value to be 0.6221. Since the p-value is much greater than α = .05, we fail to reject the null hypothesis. Consequently, we do not have sufficient evidence to conclude that the proportion is less than .75.

Learn more about statistical here: https://brainly.com/question/29000275

#SPJ11

Answer:

The 2nd equation is false.

Step-by-step explanation:

You don't even have to solve. DE is not 58, it's 40.

The 2nd equation is false.

Answer:

Triangle: 4

Trapezoid: 3.8

Step-by-step explanation:

All you need to find is what of the three or four adds to the perimeter

3+5 is 8

So 12-8 is 4

So the ? is 4

8.3 plus 3.8 plus 8.3 is 20.4

24.2-20.4 is 3.8

Hope this helps!

The solution of the given simultaneous equations is (22, 4).

Given simultaneous equation,

x + 2y = 30

x - 2y = 14

We have to find the solutions of the system of equations.

From the first equation, we have,

x = 30 - 2y [equation 1]

Let the second equation be,

x - 2y = 14 [equation 2]

Substituting [equation 1] in [equation 2],

30 - 2y - 2y = 14

30 - 4y = 14

4y = 30 -14

4y = 16

y = 4

So, x = 30 - 2(4) = 22

Hence the solution is (22, 4).

Learn more about system of equations here :

https://brainly.com/question/20067450

#SPJ1

The probability that all three will be in box 1 will be  \(\frac{1}{8}\) or 0.125.

As per the given data the three balls which are labeled as A, B, C are placed into two different boxes of box 1 and box 2.

Box 1 has 10 balls and box two has 5, if all the arrangements are equally likely we have to determine the probability that all the three will be in box 1.

Formula for finding the probability:

Probability = The total number of outcomes ÷ The favorable number of outcomes.

The total number of outcomes:

= \($${ }^3 C_3+{ }^3 C_2+{ }^3 C_1+{ }^3 C_0$$\)

= 1+3+3+1

=8

The favorable number of outcomes:

= \({ }^3 C_3\)

=1

The probability that all the three will be in box 1:

= \(\frac{1}{8}\)

= 0.125

Therefore the probability is  \(\frac{1}{8}\) or 0.125.

For more questions on probability

https://brainly.com/question/12869438

#SPJ4

Answer:

(x-7)^2 + (y-9)^2 = 25

Step-by-step explanation: