Your sorority is preselling tickets for an end of year formal. You will save 22% off the door price by prepaying
$56.40 per ticket now.

How much will you pay if you wait to purchase tickets at the door?

The example of the commutative property of addition is option (D) 4 + 3 = 3 + 4

The commutative property of the addition states that changing the order of the numbers or the variable does not affect the result of sum

The commutative property of addition is

A + B = B + A

Here the position of the variable A and B are changed but still the result is same

From the given option

The example that shows the commutative property of  addition is

4 + 3 = 3 + 4

Here the position of the 3 and 4 changed, but the result will be

7 = 7

Therefore, the correct example is option D) 4 + 3 = 3 + 4

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Answer: 20 80

Step-by-step explanation:

So two 2-digit numbers

45 people used credit card on that particular day , this could be found out using simplified multiplication.

What is proportion?

A quantitative relation is an ordered try of numbers a and b, written a / b wherever b doesn't equal zero.

A proportion is an equation within which 2 ratios ar set up to one another.

Main body:

We have been given that during one particular sales day, 75% of the store's customers paid with credit cards. There were 60 customers that day.

To find the number of people, who used credit card, we will find 75% of 60.

The number of people who used credit card = (75 / 100 )* 60

The number of people who used credit card = 0.75 *60

The number of people who used credit card = 45

Therefore, 45 people used credit card on that particular day.

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Answer:

[tex] \frac{17}{36} [/tex]

Step-by-step explanation:

- 1 and 3/4 can be made into an improper fraction, 7/4

- 7/4 = 3x + 1/3, where x is equal to the amount of liters in each cup, 7/4 represents the total amount of lemonade in both the pitcher and cups, and 1/3 represents the amount of lemonade left over.

- Solve for x:

7/4 - 1/3 = 3x

21/12 - 4/12 = 3x

17/12 = 3x

x = 17/36

Centroid and Incentre always lie inside the triangle.

The centroid is the center point of the object. The point in whereby the three medians of the triangle intersect is called the centroid of a triangle. It is also described as the point of intersection of all the three medians. The median is a line which joins the midpoint of a side and the opposite vertex of the triangle.

The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle. In other words, it can be described as the point in which the internal angle bisectors of the triangle cross.

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False, that is if the number of data observations is even, the median is generally considered to be the average of middle values not the first and last values.

The median is a simple measure of central tendency. To find the median, we arrange the observations in order from smallest to largest value. If there is an odd number of observations, the median is the middle value. If there is an even number of observations, the median is the average of the two middle values.

At least half of the observations are equal to or smaller than the median, and at least half of the measurements are equal to or greater than the median. The median divides the bottom half of observations from the upper half.

Even Number of Observations :

Suppose we have the monthly wages of 4 employees of a company. How would you find the median wage?

wages are 120,240,500,400

we have arranged their wages above from lowest to highest. This ranking will help us to determine the median. Using the method introduced earlier, the median is computed by taking the simple average of the (n/2)ᵗʰ = (4/2)ᵗʰ = 2ⁿᵈ and

(n/2 + 1)ᵗʰ = (2+1)ᵗʰ = 3ʳᵈ observations.

Therefore, the median is 240+500/2

= 370.

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Complete question

True/false

if the number of data observations is even, the median is generally considered to be the average of the first and last values

The volume of cylinder is 84.82 cubic feet

In this question, we have been given for a cylinder the diameter equals 3 feet and the length equals 12 feet.

We need to find  the volume of a cylinder.

From given data,

diameter d = 3 feet

So, radius r = d/2

                r = 1.5 ft

length of cylinder (h) = 12 ft

The formula for the  volume of a cylinder is,

V = π * r² * h

V = π * 1.5² * 12

V = π * 2.25 * 12

V = 84.82 cubic feet

Therefore, the volume of cylinder with the diameter equals 3 feet and the length equals 12 feet is 84.82 cubic feet

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The value of x for the given trigonometric function is (15/18)π.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is very good and useful in real-life problems related to the right angle.

As per the given,

secx = (-2√3)/3

1/cosx = -2/√3

cosx = -√3/2

x  = 150° = (15/18)π

Thus, x goes into the second quadrant as shown below.

Hence"The value of x for the given trigonometric function is (15/18)π".

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Answer:

[tex]\begin{aligned}\textsf{1.} \quad \textsf{As}\;\; &x \rightarrow - \infty,\;\;f(x) \rightarrow + \infty\\ \textsf{As}\;\; &x \rightarrow +\infty,\;\;f(x) \rightarrow + \infty \end{aligned}[/tex]

[tex]\begin{aligned}\textsf{2.} \quad \textsf{As}\;\; &x \rightarrow - \infty,\;\;f(x) \rightarrow - \infty\\ \textsf{As}\;\; &x \rightarrow +\infty,\;\;f(x) \rightarrow + \infty \end{aligned}[/tex]

[tex]\begin{aligned}\textsf{3.} \quad \textsf{As}\;\; &x \rightarrow - \infty,\;\;f(x) \rightarrow - \infty\\ \textsf{As}\;\; &x \rightarrow +\infty,\;\;f(x) \rightarrow + \infty \end{aligned}[/tex]

Step-by-step explanation:

Root Multiplicity

Odd multiplicity → the graph will cross the x-axis at the root.

Even multiplicity → the graph will touch the x-axis at the root (but will not cross the x-axis).

Given function:

[tex]p(x)= \dfrac{2}{3}(3x - 6)(x + 2)(x - 3)^2[/tex]

Therefore:

End behaviors:

[tex]\textsf{As}\;\; x \rightarrow - \infty,\;\;f(x) \rightarrow + \infty[/tex]

[tex]\textsf{As}\;\; x \rightarrow +\infty,\;\;f(x) \rightarrow + \infty[/tex]

The x-intercepts of a function are when f(x)=0.  

Therefore, the x-intercepts are:

Therefore, the graph of the given function has 3 turning points.

Given function:

[tex]p(x)=(x - 3)^2 (x + 2) (2x + 7)^2[/tex]

Therefore:

End behaviors:

[tex]\textsf{As}\;\; x \rightarrow - \infty,\;\;f(x) \rightarrow -\infty[/tex]

[tex]\textsf{As}\;\; x \rightarrow +\infty,\;\;f(x) \rightarrow + \infty[/tex]

The x-intercepts of a function are when f(x)=0.  Therefore, the x-intercepts are:

Therefore, the graph of the given function has 4 turning points.

Given function:

[tex]p(x)=(x - 5)(x + 2)(x - 1)-30[/tex]

Therefore:

End behaviors:

[tex]\textsf{As}\;\; x \rightarrow - \infty,\;\;f(x) \rightarrow -\infty[/tex]

[tex]\textsf{As}\;\; x \rightarrow +\infty,\;\;f(x) \rightarrow + \infty[/tex]

The graph has 2 turning points.

The correlation between Exam 1 scores and Exam 2 scores is r = .6

The standard mistake of the relapse is the typical distance that the noticed qualities tumble from the relapse line. For this situation, the noticed qualities fall a normal of 4.89 units from the relapse line. Variance is a proportion of how information focuses varies from the mean. As indicated by Layman, a difference is a proportion of how far a bunch of information (numbers) is fanned out from their mean (normal) esteem. Fluctuation means to track down the normal distinction of deviation from real worth. Hence, the correlation between Exam 1 scores and Exam 2 scores is r = .6

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The mixed number of 2.81 is 2 whole number 81 by 100 or [tex]2\frac{81}{100}[/tex].

What is whole number?

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The boldface Z is a common way to represent the set of integers in mathematical terms.

Given number is 2.81.

The number 2.81 can be written as 2 + 0.81.

The number of digits after decimal point is 2.

To convert 0.81 into fractional form, divide 81 by 100.

2 + 0.81 = 2 + (81/100)

The mixed number of 2.81 is [tex]2\frac{81}{100}[/tex].

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g is the centroid of triangle abc, the value of x is 2/3.

The length of segment DG is (2/3) * (length of AB) ,The length of segment AG is (1/3) * (length of AB),The length of segment AD is (1/3) * (length of AB).

The centroid of a triangle is the point at which the three medians of the triangle intersect each other. In other words, it is the point of intersection of the three lines which each divide the opposite side of the triangle into two equal parts.

Let us consider a triangle ABC with vertices A (a1, b1), B (a2, b2), and C (a3, b3). The x coordinate of the centroid G (x, y) is given by:

x = (a1 + a2 + a3) / 3

The y coordinate of the centroid G (x, y) is given similarly as x

In your question, the x coordinate of the centroid G is given as x = 2/3. This means that the x coordinate of G is 2/3 of the way between A and B.

Therefore, the length of segment DG is (2/3) * (length of AB).

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12 divided by 1/3 is 1

9 divided by 1/4 is 2.25

1/8 divided by 4 is 0.5

12 divided by 1/3 is 4

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

At an elementary level the division of two natural numbers is, among other possible interpretations, the process of calculating the number of times one number is contained within another. This number of times need not be an integer.

given that

3 divided by 1/3

3× 1/3 = 1

9 divided by 1/4

9 × 1/4 = 2.25

1/8 divided by 4

4 × 1/8 = 0.5

12 divided by 1/3

12 × 1/3 = 4

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The ways the assignments can be assigned to the students with the condition is 66 ways

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

Total number of questions, n = 12

Total numbers of students, r = 2

The number of ways the assignments can be assigned to the students is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 12 and r = 2

Substitute the known values in the above equation

Total = ¹²C₂

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 12!/10! * 2!

Evaluate

Total = 66

Hence, the number of ways is 66

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Answer: -26/27

Step-by-step explanation:

A function is a rule that for each input has at most one output.

Describe a function. A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).

In mathematics, a function is a unique arrangement of the inputs (the domain) and their outputs (the codomain), where each input has exactly one output and the output can be traced back to the original input.

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The effect on donations, of having a dog compared to not calculated separately for male and female pedestrians is a simple effects analysis on these given data. So the option A is correct.

There are two degrees of gender representation when comparing women and men. Each independent variable in an experiment comparing the effects of a drug to a control group receiving no treatment can have two or more levels.

Street beggars and panhandlers collectively carry a lot of stigma. This study is based on an ethnographic street survey of local panhandlers who are homeless. These frequent exchanges between certain street people and certain.

A simple effect analysis is "The difference in donations between having a dog and not, measured individually for male and female pedestrians."

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The best estimate for the marginal cost in dollars, to produce the 57th unit of the product is C'(57) - C'(56). This is also known as the difference in cost between producing the 57th unit and the 56th unit, and is represented by the expression C'(57) - C'(56).

The marginal cost of producing a particular unit of a product is the cost of producing that unit minus the cost of producing the previous unit. So to find the marginal cost of producing the 57th unit of the product, you can subtract the cost of producing the 56th unit from the cost of producing the 57th unit.

This means that the best estimate for the marginal cost of producing the 57th unit of the product is given by:

M(57) = C(57) - C(56)

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Answer:

it is a 10% increase.

Step-by-step explanation:

3,036 - 2,760 = 276

276/2,760 · 100 = 10%

The probability density function will be expressed as f_M(x) = n * x^(n-1) and cumulative density function is f_Z(z) = n * (1-z)^(n-1).

To find the probability density function of M, we need to find the probability that M takes on a particular value x, which is equal to the probability that all of the random variables U1, ..., Un are less than or equal to x. Since the Ui are independent, this probability is equal to the product of the individual probabilities that each Ui is less than or equal to x. Since each Ui has a uniform distribution over [0, 1], the probability that Ui is less than or equal to x is simply x. Therefore, the probability that M takes on a particular value x is equal to x^n.

This means that the probability density function of M is given by:

f_M(x) = n * x^(n-1)

for x in the range [0, 1].

For the second part of the question, we want to find the cumulative distribution function (c.d.f.) and probability density function (p.d.f.) of Z = min(U1, ..., Un). We can find the c.d.f. of Z by finding the probability that Z is less than or equal to a particular value z. This is equal to the probability that all of the random variables U1, ..., Un are greater than or equal to z. Since the Ui are independent, this probability is equal to the product of the individual probabilities that each Ui is greater than or equal to z. Since each Ui has a uniform distribution over [0, 1], the probability that Ui is greater than or equal to z is simply 1-z. Therefore, the probability that Z is less than or equal to z is equal to (1-z)^n.

This means that the cumulative distribution function of Z is given by:

F_Z(z) = (1-z)^n

for z in the range [0, 1].

To find the probability density function of Z, we can differentiate the cumulative distribution function with respect to z. This gives us:

f_Z(z) = n * (1-z)^(n-1)

for z in the range [0, 1].

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The possible values for the width of rectangle are 24 and -28.

What is area of rectangle?

The area of a rectangle formula. Area of a Rectangle is A = l × b. Once the length and width of a rectangle are known, the area can be calculated. The area of the rectangle is calculated as a square unit by multiplying the length and width.

Let x is the width of rectangle.

As given a rectangle length  is 4 feet longer than it is wide.  

⇒ l = 4 + x

Since,

Area of rectangle = length x width

                      672 = (4 + x) x x

                      672 = 4x + x^2

     x^2 + 4x - 627 = 0

To find the value of x we can use the quadratic formula.

Here a = 1, b = 4, c = -672

[tex]x = \frac{-b +-\sqrt{b^2-4ac} }{2a} \\x = \frac{-4+-\sqrt{4^2-4(1)(-672)} }{2(1)} \\x = \frac{-4+-\sqrt{2704} }{2} \\x = \frac{-4+-52}{2} \\x = -2+-26[/tex]

⇒ x = -2 + 26,  x = -2 - 26

⇒ x = 24,         x = -28

Hence, the possible values for the width of rectangle are 24 and -28.

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Answer: #48 <FBE

Step-by-step explanation:

The equation to solve the width of rectangle created by John from 48 square centimetre tiles is w(w+2) = 48

and the greatest width in centimetres use for mosaic is 6 cm.

We have given that

John wants to create a mosaic of rectangular shape.

total area of tile(A) = 48 square centimetre

let l and w be length and width of rectangle

length of rectangle is 2 cm longer than width then length of rectangle (l) =( w+2) cm

Area oa rectangle (A) = l × w

=> (w+2) × w = 48

=> w²+ 2w = 48

which is quadratic equation , solve it

w² + 2w - 48 = 0

=> w² - 6w + 8w - 48 = 0

=> (w-6) (w+8) = 0

=> w = 6, -8

Hence, the required equation is w(w+2) = 48 and width of rectangle is 6cm.

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answer to the question is 250 newtons

the answer is actually 200 newtons

Answer: D.) None of these

Step-by-step explanation: A polygon is regular when all angles are equal and all sides are equal (otherwise it is "irregular").

The graph of the piece-wise function in this problem is given by the image shown at the end of the answer.

A piece-wise function is a function that has different definitions, based on the input values (values of x) of the function.

The function in this problem has three definitions, given as follows:

The behavior for each definition is given as follows:

Then, considering these three definitions, the graph of the function is presented at the end of the answer.

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Answer:

If you don't have equations where you can eliminate a variable by addition or subtraction you directly you can begin by multiplying one or both of the equations with a constant to obtain an equivalent linear system where you can eliminate one of the variables by addition or subtraction.

Adding or subtracting two equations in order to eliminate a common variable is called the elimination method. Once one variable is eliminated, it becomes much easier to solve for the other one. Multiplication and division can be used to set up matching terms in equations before they are combined.

Step-by-step explanation:

I hope this helps! :) If it does could you please mark me brainliest?

Answer:

25

Step-by-step explanation:

[tex]5^{2}[/tex] = 5x5 = 25

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

The solution for the inequality -5n < -15 is n < 3.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

-5n < -15

Divide both sides by -5.

n < -15/-5

n < 3

This means,

n is greater than 3.

We can represent this on a number line.

<-------__-1__0__1__2__3__4__5__6__7------>

                                          o------------------->

Thus,

The solution for the inequality -5n < -15 is n < 3.

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