If Kyle earns $12.50 per hour, how many hours did he work if he earned a total of $400. Set up an equation and solve. Let x = hours.​

The answer is:

There are 4 terms

Step-by-step explanation:

There are 4 terms in the expression 3a + 3ab + 7b - 4d.

What is a term?

A term is a constant, a variable, or a product of the two.

Terms are separated by + or - signs.

∴ There are 4 terms

To find the characteristic function of a random variable X with PDF f(x), we use the formula:

φ(t) = E[e^(itX)]

Given the PDF f(x) = 32e^(-32x), x > 0, we need to find the characteristic function φ(t).

To calculate the characteristic function, we substitute the PDF into the formula:

φ(t) = ∫[x∈(-∞,∞)] e^(itx) f(x) dx

Since the PDF is defined only for x > 0, the integral limits can be changed to [0, ∞]:

φ(t) = ∫[x∈(0,∞)] e^(itx) * 32e^(-32x) dx

Simplifying, we have:

φ(t) = 32∫[x∈(0,∞)] e^((it-32)x) dx

Now, let's solve the integral:

φ(t) = 32 ∫[x∈(0,∞)] e^((it-32)x) dx

= 32/ (it-32) * e^((it-32)x) | [x∈(0,∞)]

Applying the limits of integration, we get:

φ(t) = 32/ (it-32) * [e^((it-32)*∞) - e^((it-32)*0)]

Since e^(-∞) approaches 0, we can simplify further:

φ(t) = 32/ (it-32) * (0 - e^0)

= -32/ (it-32) * (1 - 1)

= 0

Therefore, the characteristic function of the random variable X with the given PDF is φ(t) = 0.

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The correct option is option (A) . Using Scatter plots,

Visulazation by scatter plots show the association and the distribution of Y changes as X changes.

Scatter plots:

A scatterplot plots pairs of numeric data using one variable on each axis to explore the relationship between them. If the variables are correlated, the points are along a straight line or curve.

A correlation exists between two variables if one of them is related to the other in some way. A scatterplot is a great place to start. A scatterplot (or scatterplot) is a graph of paired (x,y) sample data with a horizontal x-axis and a vertical y-axis. Each unique (x,y) pair is represented as one point.

Thus, the Visual examination of a scattergram indicates the existence of an association between variables and change in Y with change in X .

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Answer:

42.5

Step-by-step explanation:

You have to multiply 7 times 5 equals 35. Then you multiply 7 times 2 which is 14 plus 3 equals 5. So you have 175 as the first number. Then you put a 0 under that number. You multiply 5 times 1 which is 5 and 2 times 1 which is 2. Now you have 250 as your second number.

Add 175 plus 250 which is 425 but you have to put the decimal between 2 and 5. Now you have 42.5

Hope that helps

Answer:

1. Increased

2. 70%

Step-by-step explanation:

The trend show that the percentage of the people in the town (Using coffee shop) increased during the period.

Prediction will be 70% users

Developers determine the specifics of how to build a system in the design phase. b

The design phase and its importance:
Define Objectives:

The design phase begins after the completion of the analysis phase, where developers have gathered and evaluated requirements.

The main objective of the design phase is to create a blueprint for the system that addresses all identified requirements.
Create Architectural Design:

During this step, developers establish the overall structure of the system, including its components, their relationships, and the interactions between them.

This architectural design provides a high-level view of the system's organization.
Design System Components:

With the architectural design in place, developers focus on designing individual components or modules of the system. They create detailed specifications, which include the functionality, inputs, outputs, and processes for each component.
Design User Interface:

The user interface design involves creating a user-friendly and efficient way for end-users to interact with the system. This can include designing screen layouts, menus, buttons, and other interface elements.
Validate Design:

The final step in the design phase is to ensure that the proposed design meets all the requirements identified during the analysis phase.

Developers may use various methods, such as reviews and simulations, to validate their design before proceeding to the implementation phase.
The design phase is a crucial part of the system development process, as it defines how the system will be built, ensuring it meets the needs of its users and the project's objectives.

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Answer:

What ????????????????

Answer:

Independent variables are also called “regressors,“ “controlled variable,” “manipulated variable,” “explanatory variable,”

Step-by-step explanation:

Answer:

Do the math. it is 44

Step-by-step explanation:

do the math and find out how

It ultimately depends on the individual circumstances and the actions taken by the creditor to calculate the probability of recover the debt.

The probability of a one-month-overdue account eventually becoming a bad debt is influenced by a variety of factors, including the creditworthiness of the debtor, the amount of debt owed, the type of goods or services provided, and the economic conditions. In general, the longer an account remains overdue, the greater the probability that it will eventually become a bad debt. However, there is no set timeline or percentage that can accurately predict the likelihood of this outcome.

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Answer:

75

Step-by-step explanation:

87-12= 75

edg2020

Answer:irrational

Step-by-step explanation:

Answer:

irrational Def is the answer

Answer:

The answer for this question is 3+4 =7

Step-by-step explanation:

=3+4

=7 answer

Step-by-step explanation:

\( - 2 < 5 - \frac{k}{2} \\ - 7 < - \frac{k}{2} \\ \frac{k}{2} > 7 \\ k > 14\)

The value of c in the joint probability density function f(x, y) is determined by integrating the function over the entire domain, which results in c = 3/2.

The given joint probability density function is defined for -y ≤ x ≤ y and 0 < y < infinity. To find the constant c, we need to integrate the given function over the given range of x and y and set it equal to 1 (since it is a probability density function).

Integrating f(x,y) with respect to x from -y to y gives c(y^2 - x^2), which can be further integrated with respect to y from 0 to infinity to get 1 = c*(2/3). Thus, c = 3/2.

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The Distance between the given parallel planes is 8.84.

According to the statement

we have given that the two parallel planes and we have to find the distance between them.

So, For this purpose, we know that the

First let us find a point on one plane. For this in plane 9z +3x - 3y = 2

assume x = 0 and y = 0 then and hence (0,0,2/9) on this plane.

Now we find the distance between point (0,0,2/9) and plane 6z -2y + 2x =0

So,

As distance from a point to plane is

\(D= \frac{|ax_1+by_1+cz_1+d|}{\sqrt{ (a^2+b^2+c^2)}}\)

And

now substitute the values in then

\(D= \frac{|2*0+ (-2)0+6*2/9+0|}{\sqrt{ 36 +4+4)}}\)

Then the value becomes

\(D= \frac{4/3}{\sqrt{ (44)}}\)

\(D= \frac{4\sqrt{44} }{3}\)

Then solve it

\(D= \frac{26.52}{3}\)

then

D = 8.84

So, The Distance between the given parallel planes is 8.84.

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Answer:

\(c=\frac{81}{4}\)

I hope this is the right answer and I hope this helps

The value of the variable 'c' to convert the expression as the square of a binomial will be 81 / 4.

A perfect square trinomial formulation can be created by taking the binomial equation's squared. If and then only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is indeed a perfect square.

The expression is given below.

⇒ x² + 9x + c

The value of the variable 'c' to convert the expression as the square of a binomial will be given as,

c = (9/2)²

c = 81 / 4

The value of the variable 'c' to convert the expression as the square of a binomial will be 81 / 4.

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Answer:

The correct option is;

x + y = 1000

Step-by-step explanation:

The data from the table can be presented as follows

Adults (x)            \({}\)                              Children (y)

500                         \({}\)                              500

450                         \({}\)                              550

400                          \({}\)                             600

350                         \({}\)                              650

Therefore, we have the rate of change of the children, y to the adults, x, which is also the slope of the graph of the data given as follows;

The slope, m = dy/dx = (650 - 500)/(350 - 500) = 150/(-150) = -1

m = -1

The function of the graph in point and slope form, using the first point, becomes;

y - 500 = -1 × (x - 500) = -x + 500

∴ y - 500 = -x + 500

y + x = 500 + 500 = 1,000

Which gives

y + x = 1,000

y + x = x + y = 1,000

From the given list of vegetables, the number of different ways in which these vegetables can be selected from a list of vegetables such that no vegetable is selected more than once given here by the formula of Combination, which is: \(^nC_k\) = n!/[k!(n-k)!].

The city café is known for its vegetable plate lunch special that comes with four vegetables, cornbread, and sweet tea. If the four vegetables can be selected from a list of ten vegetables, the formula to determine how many different vegetable plates there are would be a combination of 10 vegetables taken 4 at a time.

The number of different ways that four vegetables can be selected from a list of ten vegetables is given by the formula of Combination, which is:

\(^nC_k\) = n!/[k!(n-k)!]

where, n = number of elements in the set = 10 vegetables

k = number of elements chosen = 4 vegetables

n - k = number of elements not chosen = 10 - 4 = 6 vegetables

Therefore, the number of different vegetable plates is:

\(^nC_k\) = 10!/ [4!(10-4)!]

\(^nC_k\) = (10×9×8×7)/ (4×3×2×1) = 210

Hence, there are 210 different vegetable plates.

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that it is important for likert-type scale response choices to be balanced at the ends of the response continuum. This means that there should be an equal number of positive and negative response options to avoid any bias or skew in the results.

An explanation for this is that if there are too many positive or negative response options, respondents may feel pressured to choose a certain option even if it doesn't accurately reflect their true opinion. This can result in inaccurate data and can skew the results of the survey or study.

balancing the response choices on a likert-type scale is crucial for obtaining accurate and unbiased data. By having an equal number of positive and negative options, respondents are more likely to provide honest and accurate responses.

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Using the values provided in the ordered pair, The linear inequality is satisfied by putting the ordered pair values and checking if the statement is true or false.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

When two mathematical statements or two numbers are compared in an unequal way, it is known as an inequality in mathematics. Inequalities can generally be classified as either algebraic or numerical, or as a combination of the two.

ordered pair=(1,2)

linear inequality equation,

\(4x_{1}-x_{2} > 0\)

using value from ordered pair,

\(4*1 - 2 > 0\)

\(2 > 0\)

which is true. That is it satisfies the given linear inequality.

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Using expression 2300*12.6577, Claudine have 29,112.71 pesos i.e. B.

What exactly are expressions?

Expressions in mathematics are mathematical assertions that comprise at least two phrases that contain numbers, variables, or both, and are connected by an operator in between. Addition, subtraction, multiplication, and division are examples of mathematical operators. For example, x + y is an expression in which x and y are terms separated by an addition operator. There are two sorts of expressions in mathematics: numerical expressions, which include simply numbers, and algebraic expressions, which contain both numbers and variables.

e.g. A number is 6 more than half of another number, which is x. In a mathematical expression, this proposition is expressed as x/2 + 6. Complex riddles are solved using mathematical expressions.

Now,

Given that 1 U.S. dollar = 12.6577 Mexican pesos

Claudine gave =2300+55=$2355

but $55 is fee. so, she will not get money in exchange for $55.

Therefore, she has now=2300*12.6577 Mexican pesos

=29112.71 pesos

hence,

          Claudine have 29,112.71 pesos.

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Answer:

x = -1/3

x = 1

Step-by-step explanation:

Answer: Isolate the variable by dividing each side by factors that don't contain the variable.

x

=

−

14

Step-by-step explanation: Have a nice day I worked really hard on this.

The correct answer for the temperature at midnight was -10 degrees.

The temperature at the start of the day was 10 degrees.At noon, the temperature was three times that, which is 3 * 10 = 30 degrees.

At dinner time, the temperature dropped 25 degrees, so it became 30 - 25 = 5 degrees.

By midnight, it dropped another 15 degrees, so the temperature at midnight was 5 - 15 = -10 degrees.The temperature at the start of the day was 10 degrees. At noon, the temperature was three times that temperature, which means it was 10 * 3 = 30 degrees.

At dinner time, the temperature dropped 25 degrees from the noon temperature, so it became 30 - 25 = 5 degrees.

By midnight, the temperature dropped another 15 degrees from the dinner time temperature, so it reached 5 - 15 = -10 degrees.

Therefore, the temperature at midnight was -10 degrees.

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The pressure of the top of the mountain is approximately 0.976 atm.

To convert from kilopascals (kp) to atmospheres (atm), we need to use the conversion factor of 1 atm = 101.325 kp.
So, to find the pressure in atm, we can divide the given pressure in kp by the conversion factor:
98.9 kp / 101.325 kp/atm = 0.976 atm .To convert the pressure from kilopascals (kPa) to atmospheres (atm), you can use the following conversion factor: 1 atm = 101.325 kPa.


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The measure of center that is a better indication of a "typical” salary at this business is A. The mean is better because it is not affected by the high salaries.

When the majority of the data are gathered on the left of the distribution curve or the histogram, the distribution is said to be positively skewed, or skewed to the right.

If the majority of the data are gathered on the right side of the distribution curve or the histogram, the distribution is said to be negatively skewed, or to the left. It is assumed that many employees at tiny businesses earn extremely low pay while a select few earn very high salaries. In this case, the mean gives between information about the data.

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In this problem, we are given the speed of two cyclists. Let's assume the speed of the slower cyclist to be x and the faster cyclist to be y. The two cyclists are moving towards each other, so the distance between them reduces with time. At the beginning, the distance between them is 105 miles, and at the end, it reduces to zero. Thus, we can say that the sum of the distances traveled by both cyclists is equal to the distance between them at the beginning.

This can be written as an equation: x t + y t = 105, where t is the time taken to meet each other. Since we have two unknowns x and y and only one equation, we cannot solve for both. However, we know that one cyclist is faster than the other, so y > x. We can use this fact to solve the problem.

We can isolate t by rewriting the above equation: x t + y t = 105, which gives us t = 105/(x + y). As the two cyclists meet each other in t hours, we can say that the slower cyclist covers a distance of xt, and the faster cyclist covers a distance of yt in this time. We know that the distance each cyclist covers is equal to their speed multiplied by the time. Thus, we can write: xt = 105/(x + y) and yt = 105/(x + y).

We can substitute these values of xt and yt in the equation x t + y t = 105, which gives us y x = 105. We can substitute x = y - r to get (y - r) y = 105. Simplifying this quadratic equation, we get y² - ry = 105. Solving this equation, we get y = 15 (since y > x, we take the positive root). We can find r by substituting y = 15 and x = y - r in the equation x t + y t = 105, which gives us r = 3.

Therefore, the speed of the slower cyclist is 12 mph, and the speed of the faster cyclist is 15 mph.

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Answer:

28.26 units

Step-by-step explanation:

Given:

Radius (r) = 9

π = 3.14

Required:

Arc length

Solution:

Arc length = θ/360 × 2πr

θ = 180° (half of a circle = 180°)

Plug in the values into the formula

Arc length = 180/360 × 2 × 3.14 × 9

Arc length = ½ × 56.52

Arc length = 28.26 units