Joshua makes $12 per hour. Next monster, he will be making $14 per hour. What rate of increase does this represent? ROUND TO THE NEAREST PERCENT.

Answers

Answer 1

The percentage rate of increase in Joshua wages is 17%

What is rate in increase?

Rate of increase or decrease is often referred to as rate of change. Rate of change refers to how quickly something changes over time.

To calculate the rate of decrease we subtract the original value from the new value, then divide the result by the original value. Multiply the result by 100. The answer is the percent increase.

This means percentage rate in increase = (new wage - original wage )/original wage × 100

= (14-12)/12 ×100

= 2/12 ×100

= 100/6 = 17% ( nearest percent)

Therefore the percentage increase in Joshua wage is 17%

learn more about percentage increase from

https://brainly.com/question/11360390

#SPJ1

Related Questions

Refer to Muscle mass Problems 1.27 and 8.4. a. Obtain the residuals from the fit in 8.4a and plot them against Yˆ and against x on separate graphs. Also prepare a normal probability plot. Interpret your plots. b. Test formally for lack of fit of the quadratic regression function; use α = .05. State the alternatives, decision rule, and conclusion. What assumptions did you make implicitly in this test? 336 Part Two Multiple Linear Regression c. Fit third-order model (8.6) and test whether or notβ111 = 0; useα = .05. State the alternatives, decision rule, and conclusion. Is your conclusion consistent with your finding in part (b)?

Answers

a - Interpret the plots: look for patterns, constant variance, and normal distribution to assess the model's assumptions.

b- Implicit assumptions made during the test include constant variance, normal distribution of errors, and independence of observations.

c- Compare the conclusion with the finding in part (b) to assess consistency.

Using the mentioned terms. However, please note that without specific data points or information from Problems 1.27 and 8.4, I cannot provide an exact answer or numerical calculations.

a. Residuals, Yˆ, x, normal probability plot:
- Obtain residuals by subtracting the predicted Y values (Yˆ) from the actual Y values in the data set.
- Plot residuals against Yˆ and x on two separate graphs.
- Prepare a normal probability plot using the residuals.
- Interpret the plots: look for patterns, constant variance, and normal distribution to assess the model's assumptions.

b. Lack of fit, quadratic regression, α = .05, alternatives, decision rule, conclusion, assumptions:
- Perform a formal test for lack of fit, using an F-test, by comparing the full quadratic regression model with a reduced linear model.
- State the null and alternative hypotheses (H0: quadratic model is appropriate, Ha: quadratic model is not appropriate).
- Determine the decision rule: if F > critical F-value (based on α = .05 and appropriate degrees of freedom), reject H0.
- Draw a conclusion based on the F-test result.
- Implicit assumptions made during the test include constant variance, normal distribution of errors, and independence of observations.

c. Third-order model, β111, α = .05, alternatives, decision rule, conclusion:
- Fit a third-order model (Y = β0 + β1x + β11x^2 + β111x^3) to the data.
- Test the hypothesis H0: β111 = 0 (no significant contribution from the cubic term) vs. Ha: β111 ≠ 0 (cubic term is significant).
- Determine the decision rule: if the t-test statistic > critical t-value (based on α = .05 and appropriate degrees of freedom), reject H0.
- Draw a conclusion based on the t-test result.
- Compare the conclusion with the finding in part (b) to assess consistency.

learn more about normal distribution

https://brainly.com/question/29509087

#SPJ11

a couple decided to have 4 children. (a) what is the probability that they will have at least one girl? (b) what is the probability that all the children will be of the same gender?

Answers

(a) The probability of having at least one girl is 1 - 0.0625 = 0.9375 or 93.75%.

(b) The probability that all the children will be of the same gender is 0.0625 + 0.0625 = 0.125 or 12.5%.

The probability of having at least one girl can be calculated by finding the probability of having no girls and subtracting it from 1.

Assuming that the probability of having a boy or a girl is equal (0.5), the probability of having no girls is (0.5)^4 = 0.0625.

Therefore, the probability of having at least one girl is 1 - 0.0625 = 0.9375 or 93.75%.

(b) The probability that all the children will be of the same gender is 0.0625 + 0.0625 = 0.125 or 12.5%.

The probability that all the children will be of the same gender can be calculated by finding the probability of having all boys and adding it to the probability of having all girls.

The probability of having all boys is (0.5)^4 = 0.0625, and the probability of having all girls is also 0.0625.

Therefore, the probability that all the children will be of the same gender is 0.0625 + 0.0625 = 0.125 or 12.5%.

Learn more about Probability:

https://brainly.com/question/13604758

#SPJ1

. suppose a belongs to a group and |a| 5 5. prove that c(a) 5 c(a3 ). find an element a from some group such that |a| 5 6 and c(a) ? c(a3 ).

Answers

Let G be a group and a be an element of G such that |a| ≤ 5. We need to show that c(a) ≤ c(a3).

To prove this, consider an arbitrary element x in c(a). Then ax = xa, which implies a3x = a2(ax) = a2(xa) = (a2x)a = (ax)a2 = x(a2a) = xa, since |a| ≤ 5 implies a2a = a3 = e. Therefore, x is also in c(a3), which means that c(a) is a subset of c(a3).

Now, consider the element a = (1 2 3)(4 5 6) in S6, the symmetric group on six elements. It can be shown that |a| = 6 and c(a) = {(1 2 3)(4 5 6), (1 3 2)(4 6 5), (1 2)(4 5)(3 6), (1 3)(4 6)(2 5), (1 4)(2 5)(3 6), (1 5)(2 4)(3 6), (1 6)(2 5)(3 4), e}, while c(a3) = {(1 2 3)(4 5 6), e}. Therefore, c(a) ≠ c(a3), and we have found an example of an element a in some group such that |a| = 6 and c(a) ≠ c(a3).

Learn more about element here:

https://brainly.com/question/13025901

#SPJ11

The annual revenue and cost functions for a manufacturer of zip drives are approximately R(x)=520x-0.02x² and C(x) = 160x+100,000, where x denotes the number of drives made. What is the maximum annual profit? A. $1,620,000 B. $1,720,000 C. $1,520,000 D. $1,820,000

Answers

The maximum annual profit is 1,72,0000

The profit function can be found by subtracting the cost function from the revenue function:

[tex]P(x) = R(x) - C(x) = (520x - 0.02x^2) - (160x + 100,000) = -0.02x^2 + 360x - 100,000[/tex]

To find the maximum annual profit, we need to find the value of x that maximizes the profit function.

One way to do this is to find the vertex of the parabola given by the profit function.

The x-coordinate of the vertex is given by:

x = -b/2a

where a = -0.02 and b = 360.

Substituting these values, we get:

[tex]x = -360/(2\times (-0.02)) = 9,000[/tex].

Therefore, the manufacturer should make 9,000 drives to maximize annual profit.

To find the maximum profit, we can substitute this value into the profit function:

[tex]P(9,000) = -0.02(9,000)^2 + 360(9,000) - 100,000 = $1,720,000[/tex]

Therefore, the answer is (B) $1,720,000.

For similar question on maximum annual profit.

https://brainly.com/question/15697949

#SPJ11

find the value of k for which the given function is a probability density function. f(x) = 2k on [−1, 1]

Answers

Answer:

The value of k that makes f(x) = 2k a probability density function on [−1, 1] is k = 1/4.

Step-by-step explanation:

For a function to be a probability density function, it must satisfy the following two conditions:

The integral of the function over its support must be equal to 1:

∫ f(x) dx = 1

The function must be non-negative on its support:

f(x) ≥ 0, for all x in the support of f(x)

Given f(x) = 2k on [−1, 1], we need to find the value of k such that f(x) is a probability density function.

Condition 2 is satisfied because f(x) = 2k ≥ 0 for all x in the support of f(x), which is [−1, 1].

To satisfy condition 1, we need:

∫ f(x) dx = ∫_{-1}^{1} 2k dx = 2k [x]_{-1}^{1} = 2k(1 - (-1)) = 4k = 1

Solving for k, we have:

4k = 1

k = 1/4

Therefore, the value of k that makes f(x) = 2k a probability density function on [−1, 1] is k = 1/4.

To Know more about probability refer here

brainly.com/question/30034780#

#SPJ11

i if (x == null) return alreadyreversed; node y = x.next; x.next = alreadyreversed; return reverse (y, x);

Answers

The code snippet is a recursive function to reverse a singly linked list.

When the current node (x) is null, it returns the already reversed list. Otherwise, it reverses the remaining list and returns the result.

The code is a part of a recursive function that aims to reverse a singly linked list. It starts by checking if the current node (x) is null, meaning that the end of the list has been reached. If true, it returns the already reversed part (alreadyreversed).

If the current node is not null, it proceeds to the next step by assigning the next node (y) as x.next. Then, it changes the next pointer of the current node (x) to point to the already reversed part (x.next = alreadyreversed).

Finally, it calls the same function again with the updated parameters (reverse(y, x)) to continue reversing the remaining list. This process continues until the base case (x == null) is encountered, and the fully reversed list is returned.

To know more about recursive function click on below link:

https://brainly.com/question/30027987#

#SPJ11

A jet is flying in a direction n 70° e with a speed of 400 mi/h. find the north and east components of the velocity. (round your answer to two decimal places.)
north ____ mi/h
east _____ mi/h

Answers

Answer: North 136.81 mph

East: 375.88 mph

Step-by-step explanation:

Hi there,

First you are going to want to set up a triangle based on the given information. You are giving a bearing for the degrees of the triangle, so the angle for the triangle you are going to solve will be 20 degrees.

You can use either Law of Sines or SOHCAHTOA to solve, but since you are setting up a right triangle I would use SOHCAHTOA. You are trying to find the vertical and horizontal components so start with sine to find the y-value. It should look like:

sin(20)=(opposite side of the given angle/400)

It will be travelling North at 136.81 mph

Similarly, we now need to find the horizontal component. Start by using cosine. It should look like

cos(20)=(side adjacent to the given angle/400)

It should be traveling East at 375.88 mph

Hope this helps.

The north component is 137.64 mi/h and the east component is 123.12 mi/h.

To find the north and east components of the velocity, we can use trigonometry.

The velocity can be divided into two components: one in the north direction and one in the east direction. The north component is given by:

North component = Velocity x sin(θ)

where θ is the angle between the velocity vector and the north direction.

Similarly, the east component is given by:

East component = Velocity x cos(θ)

where θ is the angle between the velocity vector and the east direction.

In this case, the angle between the velocity vector and the north direction is (90° - 70°) = 20° (since the direction is given as "n 70° e", which means 70° east of north). Therefore:

North component = 400 x sin(20°) = 137.64 mi/h

The angle between the velocity vector and the east direction is 70°. Therefore:

East component = 400 x cos(70°) = 123.12 mi/h

Rounding to two decimal places, the north component is 137.64 mi/h and the east component is 123.12 mi/h.

for such more question on component

https://brainly.com/question/4088563

#SPJ11

Consider the sequence =⋅n. cos (n)/ (6n +2) Describe the behavior of the sequence.

Answers

The behavior of the sequence =⋅n. cos (n)/ (6n +2) can be described as oscillatory and convergent.

Firstly, the cosine function causes the sequence to oscillate between positive and negative values as n increases. This means that the sequence does not approach a single fixed value, but rather fluctuates around a certain point.

However, as n becomes larger, the denominator (6n + 2) dominates the sequence, causing it to converge towards zero. This can be seen by dividing both the numerator and denominator by n, which gives a limit of 0 as n approaches infinity.

Therefore, the behavior of the sequence is a combination of oscillation and convergence towards zero. While it does not approach a single fixed value, it does approach zero and does so in an oscillatory manner.

Overall, the sequence can be described as a damped oscillation that gradually decreases in amplitude as n increases. It is important to note that this behavior is specific to this particular sequence and may not be the case for other sequences with different formulas.

To know more about sequence, refer to the link below:

https://brainly.com/question/12533593#

#SPJ11

Include correctly labeled diagrams, if useful or required, in explaining your answers. A correctly labeled diagram must have all axes and curves clearly labeled and must show directional changes. If the question prompts you to "Calculate," you must show how you arrived at your final answer. Zeetopia and Freshland are two small tropical islands that use the same amounts of resources to produce mangoes and coconuts as shown in the table below. Coconuts (in tons)Mangoes (in tons) Zeetopia5060 Freshland5030 (a) Which island has an absolute advantage in producing coconuts? Explain. (b) Which island has a comparative advantage in producing coconuts? Explain. (c) Assume Zeetopia and Freshland decide to specialize according to their comparative advantages and 1 ton of coconuts is exchanged for 1 ton of mangoes. Are specialization and trade under these terms beneficial to both Zeetopia and Freshland? Explain. (d) Assume the two islands experience constant opportunity costs in the production of the two products. Draw a correctly labeled graph illustrating Zeetopia’s and Freshland’s production possibilities, showing coconuts on the horizontal axis and mangoes on the vertical axis. Plot the numerical values from the table above on your graph. (e) On your graph in part (d), shows a combination of coconuts and mangoes, labeled as point X that is unattainable for Freshland but feasible and inefficient for Zeetopia.

Answers

(a) Zeetopia has an absolute advantage in producing coconuts since it can produce more coconuts than Freshland by using the same amount of resources.

(b) Zeetopia has a comparative advantage in producing coconuts because it has a lower opportunity cost of producing coconuts than Freshland.

The opportunity cost of producing one tonne of coconuts in Zeetopia is 3/5 tonne of mangoes, whereas, the opportunity cost of producing one tonne of coconuts in Freshland is 2 tonne of mangoes.

Therefore, Zeetopia has a comparative advantage in producing coconuts.

(c) According to the principle of comparative advantage, both islands should specialize in producing the good for which they have a lower opportunity cost. Thus, Zeetopia should specialize in producing coconuts and Freshland should specialize in producing mangoes. Both islands will gain from specialization and trade if they exchange one ton of coconuts for one ton of mangoes.

For Freshland, the opportunity cost of producing one tonne of mangoes is 2/3 tonnes of coconuts, whereas, for Zeetopia, the opportunity cost of producing one tonne of mangoes is 5/3 tonnes of coconuts.

Therefore, Freshland has a comparative advantage in producing mangoes. By specializing in producing mangoes, Freshland can produce 30 tonnes of mangoes, which can be exchanged for 30 tonnes of Zeetopia's coconuts. This exchange will benefit both countries as they will get a good that they are not efficient in producing.

(d) The production possibilities for Zeetopia and Freshland can be shown on the graph below. The horizontal axis represents the production of coconuts, while the vertical axis represents the production of mangoes. The slope of each production possibility curve (PPC) represents the opportunity cost of producing one good in terms of the other. The numerical values from the table above are plotted on the graph.

(e) The combination of coconuts and mangoes labeled X is unattainable for Freshland but feasible and inefficient for Zeetopia. Therefore, Freshland cannot produce at point X due to its limited resources, while Zeetopia is not using all of its resources efficiently if it produces at point X.

To know more about comparative advantage please visit :

https://brainly.com/question/2827889

#SPJ11

The results of a poll show that the percent of people who want a toll road is in the interval (46%, 84%) . There are 268,548 people in the city. What is the interval estimate for the number of people who want this toll road in their city?

Answers

Answer: To estimate the number of people who want the toll road in their city, we can use the percentage range provided and calculate the interval estimate. Here's how you can do it:

Find the lower bound of the percentage range: 46% of 268,548 = 0.46 * 268,548 = 123,442.08 (rounding down to 123,442).

Find the upper bound of the percentage range: 84% of 268,548 = 0.84 * 268,548 = 225,607.92 (rounding up to 225,608).

Therefore, the interval estimate for the number of people who want the toll road in their city is (123,442, 225,608).

A random sample of 100 customers, who visited a department store, spent an average of $77 at this store with a standard deviation of $19. The 90% confidence interval for the population mean is: Select one: o O O a. 75.56 to 79.44 b. 76.89 to 82.11 c. 70.18 to 83.82 d. 73.87 to 80.14

Answers

The 90% confidence interval for the population mean is (73.06, 80.94).

The closest option to this answer is d. 73.87 to 80.14

To calculate the confidence interval for the population mean, we can use the formula:

[tex]CI = \bar{x} \pm z* (\sigma /\sqrt{n} )[/tex]

where:

[tex]\bar{x}[/tex] is the sample mean

σ is the population standard deviation (unknown, so we use the sample standard deviation, s, as an estimate)

n is the sample size

z* is the critical value from the standard normal distribution corresponding to the desired level of confidence (90% in this case)

Plugging in the values we have:

CI = 77 ± 1.645 * (19/√100)

CI = 77 ± 3.94

CI = (73.06, 80.94).

Option to this answer is d. 73.87 to 80.14

For similar question on confidence interval.

https://brainly.com/question/30532501

#SPJ11

A random sample of 100 customers who visited a department store spent an average of $77 with a standard deviation of $19. The 90% confidence interval for the population mean is: a. 75.56 to 79.44.

The 90% confidence interval for the population mean is calculated using the formula:

(sample mean) +/- (critical value) * (standard error of the mean)

The critical value for a 90% confidence interval with a sample size of 100 is 1.645. The standard error of the mean is calculated by dividing the standard deviation by the square root of the sample size:

$19 / \sqrt{100} = $1.90

Plugging in the values, we get:

$77 +/- 1.645 * 1.90 = $77 +/- $3.13

So the 90% confidence interval for the population mean is from $73.87 to $80.14.

Therefore, the answer is d. 73.87 to 80.14.

Learn more about standard deviation at: brainly.com/question/23907081

#SPJ11

A recipe for a fruit smoothie drink calls for strawberries and raspberries. The ratio of strawberries to raspberries in the drink is 5:20 What percent of all pieces of fruit used are strawberries?

Answers

In the recipe for a fruit smoothie drink, 20% of all pieces of fruit used are strawberries.

A recipe for a fruit smoothie drink calls for strawberries and raspberries. The ratio of strawberries to raspberries in the drink is 5:20.

The ratio of strawberries to raspberries in the drink is 5:20, i.e., the total parts are 5 + 20 = 25.

The fraction representing strawberries is: 5/25 = 1/5.

Now we have to convert this fraction to percent form.

This can be done using the following formula:

Percent = (Fraction × 100)%

Therefore, the percent of all pieces of fruit used that are strawberries is:

1/5 × 100% = 20%

To know more about ratio visit:

https://brainly.com/question/13419413

#SPJ11

I need helpppp

Mrs. Trimble bought 3 items at Target
that were the following prices: $12.99,
$3.99, and $14.49. If the sales tax is
7%, how much did she pay the cashier?

Answers

Answer:

10 dollars

Step-by-step explanation:

12.99 + 3.99 + 14.49 = 31.47

7% of 31.47 is 2.2029

31.47 + 2.2029 = 33.6729

Mrs. Trimble payed the cashier $33.67

Hope this helps :D

use the integral test to determine whether the series is convergent or divergent. [infinity]Σn=1 n/n^2 + 5 evaluate the following integral. [infinity]∫1x x^2 + 5

Answers

The series Σn=1 ∞ n/(n[tex]^2[/tex] + 5) diverges because the integral of the corresponding function does not converge.

What is the value of the definite integral ∫₁[tex]^∞[/tex] (x[tex]^2[/tex] + 5) dx?

To evaluate the integral ∫₁[tex]^∞[/tex] (x[tex]^2[/tex] + 5) dx, we can use the antiderivative.

Taking the antiderivative of x[tex]^2[/tex] gives us (1/3)x[tex]^3[/tex], and the antiderivative of 5 is 5x.

Evaluating the definite integral, we substitute the upper and lower limits into the antiderivative.

Substituting ∞, we get ((1/3)(∞)[tex]^3[/tex] + 5(∞)), which is ∞.

Substituting 1, we get ((1/3)(1)[tex]^3[/tex] + 5(1)), which is (1/3 + 5) = 16/3.

The value of the definite integral ∫₁[tex]^∞[/tex] (x[tex]^2[/tex] + 5) dx is divergent (or infinite).

Learn more about diverges

brainly.com/question/31778047

#SPJ11

in a multiple regression model, the error term ε is assumed to

Answers

In a multiple regression model, the error term ε is assumed to satisfy certain assumptions for accurate statistical analysis and inference. The assumptions made about the error term are crucial for valid statistical analysis and inference.

In multiple regression, the error term ε represents the discrepancy between the observed data and the predicted values from the regression model. The assumptions made about the error term are crucial for valid statistical analysis and inference.

The error term ε is assumed to have a mean of zero, indicating that, on average, the predicted values align with the observed data. This assumption allows the regression model to capture the systematic relationship between the independent variables and the dependent variable.

Additionally, the error term is assumed to be independent and identically distributed (IID). This means that the errors for each observation are unrelated and have the same probability distribution. The independence assumption ensures that the errors do not exhibit any systematic patterns or correlations, allowing for reliable statistical analysis. The identical distribution assumption allows for the use of statistical techniques that rely on certain distributional properties, such as hypothesis testing and confidence intervals.

Furthermore, it is commonly assumed that the error term ε follows a normal distribution. This assumption enables the use of statistical techniques based on the normal distribution, such as estimating parameters and conducting hypothesis tests using t-statistics.

Overall, these assumptions about the error term in a multiple regression model are essential for valid statistical analysis and inference, ensuring accurate interpretation of the model's coefficients and significance tests.

Learn more about multiple regression model here:

https://brainly.com/question/28167705

#SPJ11

Security plan is a document that describes how an organization will address its security needs. State THREE (3) factors that should be considered when developing a security plan.

Answers

Security plan is a document that describes how an organization will address its security needs. Here are three factors that should be considered when developing a security plan:

Risk assessment: A thorough risk assessment should be conducted to identify potential security threats and vulnerabilities to the organization. This can include conducting a physical security assessment, reviewing current policies and procedures, and analyzing the organization's technology infrastructure.

Compliance requirements: Organizations may have legal and regulatory requirements that must be met in regards to security. It is important to identify these requirements and ensure that the security plan addresses them appropriately.

Resource allocation: Developing a comprehensive security plan can be resource-intensive. Organizations should consider the financial and human resources that will be required to implement and maintain the plan over time. This can include budgeting for security technology, hiring security personnel, and providing ongoing training for employees.

Know more about Security plan here:

https://brainly.com/question/30458066

#SPJ11

the pearson correlation between y and y^ in a multiple regression fit equals 0.111. to three decimal places, the proportion of variation in y explained by the regression is

Answers

The proportion of variation in y explained by the regression is 0.012.

The proportion of variation in y explained by the regression is given by the square of the Pearson correlation coefficient (r) between y and y-hat. Therefore,

proportion of variation explained = r^2 = 0.111^2 = 0.0123 (rounded to four decimal places).

So, to three decimal places, the proportion of variation in y explained by the regression is 0.012.

To know more about proportion refer here:

https://brainly.com/question/30657439

#SPJ11

Raquel ha encontrado 3 pares de tenis para correr que le gustan cuestan$ 450 $459 y $479 ella tiene ahorrados $310 y tiene un empleo donde gana $10. 50 la hora cuántas horas debe trabajar para poder pagar cualquiera de los pares de tenis

Answers

Para determinar cuántas horas debe trabajar Raquel para poder pagar cualquiera de los pares de tenis, necesitamos calcular la diferencia entre el costo de los tenis y el dinero que tiene ahorrado, y luego dividir esa cantidad por su salario por hora.

Diferencia entre el costo de los tenis y el dinero ahorrado:

Costo de los tenis: $450, $459, $479 (cualquiera de los tres)

Dinero ahorrado: $310

Diferencia = Costo de los tenis - Dinero ahorrado

Ahora, calcularemos las horas de trabajo necesarias dividiendo la diferencia entre el costo de los tenis y el dinero ahorrado por el salario por hora.

Horas de trabajo necesarias = Diferencia / Salario por hora

Por ejemplo, si consideramos el par de tenis que cuesta $450:

Diferencia = $450 - $310 = $140

Horas de trabajo necesarias = $140 / $10.50

Raquel debería trabajar aproximadamente 13.33 horas para poder pagar el par de tenis que cuesta $450.

De manera similar, se puede calcular el número de horas de trabajo necesarias para los otros pares de tenis que cuestan $459 y $479.

Learn more about cualquiera here:

https://brainly.com/question/31740607

#SPJ11

In Exercises 33-40, compute the surface area of revolution about the x-axis over the interval. 33. y=x,[0,4] 34. y=4x+3,[0,1] 35. y=x 3
,[0,2] 36. y=x 2
,[0,4] 37. y=(4−x 2/3
) 3/2
,[0,8] 38. y=e −x
,[0,1] 39. y= 4
1

x 2
− 2
1

lnx,[1,e] 40. y=sinx,[0,π]

Answers

The surface area of revolution about the x-axis over the given intervals are: 33. 8π, 34. 32π/3, 35. 2π(2+ln(2)), 36. 8π/3, 37. 64π/15, 38. 2π, 39. (32/3)π, 40. 2π.