11 student are in a waitlist for a course. two of the students in the list are named ed and ned. how many different ways are there for the students to be ordered in the list so that ed is higher in the list than ned?

The quotient of this division problem option A: 18 r89.

To find the quotient of the division problem 13,391 ÷ 739, we divide the dividend (13,391) by the divisor (739). The quotient represents the whole number result of the division, and any remaining value is the remainder.

Performing the division, we have:

First, we determine how many times 739 can be divided into 13,391 without exceeding it. We find that 739 can be divided into 13,391 eighteen times. We write this as the first part of the quotient:

      18

-------------

739 | 13,391

      739

We have a remainder of 89, which means we couldn't divide 89 further by 739 without exceeding it. Hence, we write the remainder after the division symbol:

 ----------

       6,651

      5,913

 ----------

         738

Remember, when performing division, the quotient represents the whole number result obtained from dividing the dividend by the divisor, and the remainder represents what is left after the division.

The division process shows that the quotient is 18 (OA) with a remainder of 738. Therefore, the correct answer is OA: 18 r89.

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a) If the supplement of an angle is 30 degrees more than the measure of the angle, the measure of the angle is 75 degrees.

b) If the supplement of an angle is 12 degrees less than twice the measure of the angle, the measure of the angle is 64 degrees.

a) Let x be the measure of the angle. The supplement of the angle is 180-x. According to the problem, the supplement of the angle is 30 degrees more than the measure of the angle. This can be written as:

180 - x = x + 30

Solving for x, we get:

2x = 150

x = 75

b) Let x be the measure of the angle. The supplement of the angle is 180-x. According to the problem, the supplement of the angle is 12 degrees less than twice the measure of the angle. This can be written as:

180 - x = 2x - 12

Solving for x, we get:

3x = 192

x = 64

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If one diagonal of a kite is twice as long as the other diagonal and the area of the kite is 240 square inches, then the length of the shorter diagonal is 4√15 inches and the length of the longer diagonal is 8√15 inches.

To find the length of the diagonals, follow these steps:

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The possible formula for P(x) would be \(P(x)=x^5+x^4-5x^3+3x^2\).

What is a polynomial?

A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x² + 4x + 7 is an illustration of a polynomial with a single indeterminate x.

The polynomial of degree 5.

Each root corresponds to a linear factor, so we can write:

        \(P(x) = x^2(x-1)^2(x+3)\\\\P(x)=x^2(x^2-2x+1)(x+2)\\\\P(x)=x^5+x^4-5x^3+3x^2\)

Hence, the possible formula for P(x) would be \(P(x)=x^5+x^4-5x^3+3x^2\).

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Answer:

c.

Step-by-step explanation:

90 degrees clockwise is (x,y)-(y,-x)

Answer:

The answer is A

Step-by-step explanation:

Took the test

Answer:

q = 3.5

Step-by-step explanation:

-15 = 5(3q - 10) - 5q

-15 = (5*3q + 5*-10) - 5q

-15 = 15q - 50 - 5q

-15 + 50 = 15q - 5q

35 = 10q

q = 35/10

q = 3.5

Check:

-15 = 5(3*3.5 - 10) - 5*3.5

-15 = 5(10.5 - 10) - 17.5

-15 = 5*0.5 - 17.5

-15 = 2.5 - 17.5

Answer:

Well 51 per hour and there is 24 hours so you just multiply the two together. Which you would get get 1,224 Miles

Answer: 3.9 billion years ago

Step-by-step explanation: the earth is stimated to have form

Answer:  Selling price, x, = 8.3333 units

Step-by-step explanation:

We can find the vertex by one of two methods:

1)  Take the derivative of the equation and set it to zero.  The derivative gives us the slope at any point x.  The vertex has a slope of zero (it changes direction).

y=-6x^2 + 100x– 180

y' = -12x + 100

0 = -12x + 100

12x = 100

x = 8.333

2) Graph the function and locate the vertex.  Attached.

The vertex of the parabola is (8.33, 236.66).

A plane curve produced by a moving point such that its separation from a fixed point equals that of a fixed line is a parabola.

Given, the expression;

y = -6x² +100x - 180,

where x = selling price of each soccer ball and y = daily profit from soccer balls.

A parabola's vertex is the location where its symmetry line and parabola intersect.

To find the vertex of a parabola:

Step  1: Compare the equation of the parabola with the standard form

y = ax² + bx + c.

By comparing,

y = -6x² +100x - 180 with the above equation, a = -6, b = 100, and c =-180.

Step - 2: Find the x-coordinate of the vertex using the formula,

h = -b/2a

Then we get,

h = -(100) / (2 × -6)

h = 8.33

Step - 3: To find the y-coordinate (k) of the vertex,

substitute x = h in the expression, y = -6x² +100x - 180.

Then k = -6(8.33 x 8.33) + 100(8.33) -180

k = 236.66

Step - 4: Write the vertex (h, k) as an ordered pair.

The vertex = (h, k) = (8.33, 236.66).

Therefore, (8.33, 236.66) is the vertex of the parabola.

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The minimum number of dots that could lie on the whole surface of four standard dice glued together is 56.

This can be achieved by placing the faces with 1 dot opposite the faces with 6 dots, the faces with 2 dots opposite the faces with 5 dots, and the faces with 3 dots opposite the faces with 4 dots on all four dice. Since the sum of the numbers on opposite faces of each individual die is always 7, the sum of the numbers on opposite faces of the four glued-together dice is also always 7. Therefore, the minimum number of dots on the whole surface is 7 times the number of faces, which is 7 x 8 = 56.

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Answer:

False

Step-by-step explanation:

It's just false. I don't know how to explain but next it'd be 8:10, 12:15, and then 16:20, which never goes to 16:18 so it is false.

Answer:

The larger angle is;

Explanation:

Given that the two woods are cut to form complementary angles.

Recall that complementary angles add up to 90 degrees.

Given the two angles as;

Solving the equation for x;

Since we have the value of x, we can the substitute to find the values of each angle;

Therefore, form the values of the two angles, the larger angle is;

On solving the provided question, we can say that the inequality will be 4x+y≥-2 and function P = 5x-y.

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

here,

function P = 5x-y

x + y ≤ 1

4x+y≥-2

x ≤ 0

the inequality will be 4x+y≥-2

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Answer:

B? I am confused.

Step-by-step explanation:

Answer:

1/3 kg/m3

Step-by-step explanation:

density= mass/volume

mass=40 kg

volume=5m×8m×3m=120m³

density=40kg/120m³=1/3 kg/m³

Answer:

1/3 kg per cubic m or 0.33kg per cubic m

Step-by-step explanation:

density = mass

                volume

=     40kg          =     40kg

5m x 8m x 3m  =    120cubic metres

= 1/3 kg per cubic m or 0.33 kg per cubic m

When Partition(numbers, 5, 9) is called in Quicksort for the array (56,25,26,28,81,93,92,85,99,87), the pivot is 92. The low partition is (56,25,26,28,81,85,87).

When Partition(numbers, 5, 9) is called in Quicksort with the array numbers = (56, 25, 26, 28, 81, 93, 92, 85, 99, 87), the element at the midpoint between index 5 and index 9 is chosen as the pivot.  The midpoint index is (5 + 9) / 2 = 7, so the pivot is the element at index 7 in the array, which is 92.

After the partitioning step, all the elements less than the pivot are moved to the low partition, while all the elements greater than the pivot are moved to the high partition. The low partition starts at the left end of the array and goes up to the element just before the first element greater than the pivot.

In this case, the low partition after the partitioning step would be (56, 25, 26, 28, 81, 85, 87), which are all the elements less than the pivot 92. Note that these elements are not necessarily in sorted order yet, as Quicksort will recursively sort each partition of the array.

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Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

As per the unitary method, the price of the cup is $2.958

Unitary method in statistics is defined as in which the value of one article is first obtained to find out the value of any required articles

Here we have given that the 3-gallon container of laundry detergent cost $33. 60.

And we need to find the price per cup.

While we looking into the given question, we have identified the following details that cost of 3 gallon container of laundry detergent is $33.60.

So, the cost for 1 gallon container of laundry detergent cost,

=> 33.60/3

=> 11.20

Let us consider that the cup can hold 1 liter.

As we know that 1 gallon = 3.78541 liter.

Then the cost of 1 liter is calculated as,

=> 11.20/3.78541

=> 2.958

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The Tyler’s error is Both powers should be in the denominator with positive exponents.

The exponent of a number shows how many times the number is multiplied by itself.

For example, 2×2×2×2 can be written as 24, as 2 is multiplied by itself 4 times. Here, 2 is called the "base" and 4 is called the "exponent" or "power." In general,  \(x^n\)means that x is multiplied by itself for n times.

given:

\(x^{-3} y^{-9}\) = 1/x³ × \(1/ y^{-9}\)

As, we know using the law of exponents

\(a^{-m} = 1/a^m\)

So, \(x^ {-3} = 1/\)x³

and, \(y^{-9}\) = \(1 / y^9\)

Then, we can write

\(x^{-3} y^{-9}\) = 1/x³ × \(1/ y^{9}\)

Hence, Both powers should be in the denominator with positive exponents.

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The area of the triangle is approximately 12132.73 square feet.

To calculate the area of the triangle, we need to use the provided information about the perimeter and the ratios of the sides.

Let's denote the lengths of the sides of the triangle as 42x, 45x, and 27x, where x is a common factor.

The perimeter of a triangle is the sum of the lengths of its sides.

Provided that the perimeter is 547.2 feet, we can set up the following equation:

42x + 45x + 27x = 547.2

114x = 547.2

Dividing both sides of the equation by 114, we obtain:

x = 547.2 / 114

x ≈ 4.8

Now that we have the value of x, we can calculate the lengths of the sides:

Side 1: 42x ≈ 42 * 4.8 = 201.6 feet

Side 2: 45x ≈ 45 * 4.8 = 216 feet

Side 3: 27x ≈ 27 * 4.8 = 129.6 feet

Now, to calculate the area of the triangle, we can use Heron's formula, which is based on the lengths of the sides:

Area = \(\[ = \sqrt{{s(s - a)(s - b)(s - c)}}\]\)

where s is the semiperimeter and a, b, c are the lengths of the sides.

The semiperimeter, s, can be calculated by dividing the perimeter by 2:

\(\[ s = \frac{{\text{{Side 1}} + \text{{Side 2}} + \text{{Side 3}}}}{2} \]\)

Substituting the values, we get:

\(\[ s = \frac{{201.6 + 216 + 129.6}}{2} \]\)

s ≈ 273.6

Now, we can calculate the area using Heron's formula:

Area = \(\[\sqrt{273.6(273.6 - 201.6)(273.6 - 216)(273.6 - 129.6)}\]\)

Calculating this expression, we finally obtain:

Area ≈ 12132.73 square feet

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An equation that models the birth rate as a function of the number years since 1960 is y = -0.3x + 35. Thus, option 3 is correct.

It represents a relationship between variables and constants and is used to describe the behavior of a function or system. Equations can be linear or nonlinear and can have one or multiple variables. They can be used to solve real-world problems, such as finding the slope of a line, calculating distances, or determining the minimum or maximum value of a function. Equations are also used in advanced mathematical disciplines, such as calculus, algebra, and geometry.

When x = 0, y-intercept = 35.4 ≈ 35

And when x increases, the value of y decreases, so slope is negative

From the given options

There is only two negative slope equation but only one with y-intercept = 35. i.e.

y = -0.3x + 35

Thus, An equation that models the birth rate as a function of the number years since 1960 is y = -0.3x + 35.

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(a) Use six rectangles to find estimates of each type for the area under the given graph of f from \(x = 0 to x = 36\):In the following, there are 6 rectangles under the curve f. For each of the three cases, we'll calculate the area under f using the indicated sampling points and divide it by 6.

The left endpoints are the sample points for the first instance. We get:

\($$\begin\)\(L_6 = \frac{12}{6} \cdot 9 + \frac{4}{6} \cdot 6 + \frac{6}{6} \cdot 3 + \frac{6}{6} \cdot 3 + \frac{8}{6} \cdot 6 + \frac{10}{6} \cdot 6 = \frac{324}{6} = 54\)\(\\&\)\(R_6 = \frac{8}{6} \cdot 9 + \frac{10}{6} \cdot 6 + \frac{6}{6} \cdot 3 + \frac{6}{6} \cdot 3 + \frac{4}{6} \cdot 6 + \frac{2}{6} \cdot 6 = \frac{204}{6} = 34\)\(\\&\)\(M_6 = \frac{4}{6} \cdot f(3) + \frac{6}{6} \cdot f(6) + \frac{6}{6} \cdot f(9) + \frac{8}{6} \cdot f(12) + \frac{10}{6} \cdot f(15) + \frac{12}{6} \cdot f(18) = \frac{297}{6} = 49.5\end{aligned}$$\)

Therefore,

\($$L_6 = 54, R_6 = 34, M_6 = 49.5.$$(b)\)

overestimate M6 gives the best estimate.

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Answer: about 14 days or 2 weeks

Step-by-step explanation:

The correct description will be;

⇒ y = - 2x + 3

4x + 2y = 6

These are independent.

⇒ y = -2x + 3

4x + y = 9

These are consistent.

⇒ y = -2x+3

4x + 2y = 9

These are inconsistent.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expressions are,

1. y = -2x+3

4x + 2y = 6

2. y = -2x+3

4x+y=9

3. y = -2x+3

4x + 2y = 9

Now,

From (1);

1. y = -2x+3

4x + 2y = 6

⇒ 2x + y = 3

4x + 2y = 6

⇒ 2x + y = 3

So We get;

⇒ 2/2 = 1/1 = 3/3

⇒ 1/1 = 1/1 = 1/1

These are independent.

From (2);

1. y = -2x+3

4x + y = 9

⇒ 2x + y = 3

4x + y = 9

So We get;

⇒ 2/4 ≠ 1/1

⇒ 1/2 ≠ 1/1

These are consistent.

From (3);

1. y = -2x+3

4x + 2y = 9

⇒ 2x + y = 3

4x + 2y = 9

So We get;

⇒ 2/4 = 1/2 = 3/9

⇒ 1/2 = 1/2 ≠ 1/3

These are inconsistent.

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A) The proportion of test takers who will score above 115 on the Wechsler Intelligence Scale for Children is approximately 0.1587.

B) The proportion of test takers who will score below 91 is approximately 0.0228.

C) The proportion of test takers who will score between 109 and 130 is approximately 0.5133.

D) The probability that a randomly selected child will score above 145 is very low, as it falls beyond the typical range of scores.

E) An intelligence score of approximately 124 will place a child at the 95th percentile.

The proportion of test takers who will score above 115 on the Wechsler Intelligence Scale for Children is approximately 0.1587. This means that about 15.87% of test takers are expected to achieve a score above 115. The Wechsler Intelligence Scale for Children follows a normal distribution with a mean of 100 and a standard deviation of 15, allowing us to determine the proportion of individuals scoring above a specific threshold.

Similarly, what is the likelihood of scoring below 91 on the test?

The proportion of test takers who will score below 91 on the Wechsler Intelligence Scale for Children is approximately 0.0228. This suggests that around 2.28% of test takers are expected to obtain a score below 91. The normal distribution characteristics of the test's scores enable us to estimate the proportion of individuals scoring below a given threshold.

The proportion of test takers who will score between 109 and 130 on the Wechsler Intelligence Scale for Children is approximately 0.5133. This implies that roughly 51.33% of test takers are expected to achieve scores within this range. Understanding the proportion of individuals falling within a specific score range helps us assess the performance of test takers and provides valuable insights into the distribution of intelligence scores.

The probability that a randomly selected child will score above 145 on the Wechsler Intelligence Scale for Children is very low. Scores above 145 are considered extremely rare, as they fall in the upper tail of the normal distribution. While the exact probability cannot be determined without additional information, it is safe to say that the likelihood of obtaining such a high score is significantly uncommon.

An intelligence score of approximately 124 on the Wechsler Intelligence Scale for Children will place a child at the 95th percentile. This means that the child's score is higher than 95% of the scores within the population of test takers. Achieving a score at the 95th percentile indicates a higher level of intellectual ability compared to the majority of individuals taking the test.

Additionally, what is the proportion of test takers scoring between 109 and 130?

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