When the median and mean of a large sample of interval data are seperated from each other, the researcher may conclude?

Answer:

b.19

Step-by-step explanation:

This is a simple division problem. We divide 6.75/0.35.

That gives us about 19.

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The slope of the line AB in simplest form is 3/2.

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.

We also know that the slope is rise over run, rise represents the y-axis and run represents the x-axis.

From B to C rise is 3 and from B to C run is 2.

Therefore, the slope of the line AB is 3/2.

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Answer:

Step-by-step explanation:

The equation for the surface consisting of all points P for which the distance from P to the x-axis is twice the distance from P to the yz-plane can be found by using the distance formula in three dimensions.

Let (x, y, z) be a point P on the surface. The distance from P to the x-axis is |x|, and the distance from P to the yz-plane is sqrt(y^2 + z^2). Setting these two distances equal and solving for x, we get:

|x| = 2 * sqrt(y^2 + z^2)

x = 2 * sqrt(y^2 + z^2) if x >= 0

x = -2 * sqrt(y^2 + z^2) if x < 0

This is the equation for a hyperboloid of one sheet. The hyperboloid of one sheet is a three-dimensional surface with two connected components that are mirror images of each other across the x-axis.

Measure of exterior angle for a common side AD of a square and regular heptagon is \(\angle BAC=141.53^o\).

Heptagon is a closed figure with 7 sides and sum of all interior angle is \(\angle DAC=128.57^o\) and for a regular heptagon measure of one interior angle is \(\frac{900^o}{7} =128.57^o\)

From the figure \(\angle DAC=128.57^o\), since it is an interior angle of heptagon and \(\angle BAD=90^o\), since it is an interior angle of square.

\(\angle BAD+ \angle DAC+\angle BAC=360^o\)(total angle is \(360^o\) )

\(90^o+128.57^o+\angle BAC=360^o\\\angle BAC=141.53^o\\\)

Hence, measure of exterior angle BAC is \(141.53^o\)

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Answer:

no

Step-by-step explanation:

Answer:

No

Because 5 and 1 have the same output as 1.

Answer:

23

Step-by-step explanation:

you subtract 50 the max number from 27 the Lowest number

Answer:

n=2.56

Step-by-step explanation:

Answer:

y+1=(x+7)/3

Step-by-step explanation:

slope = (-1-3)/(-7-5) = -4/-12 = 1/3

b = 3-(1/3)×5 = 4/3

y = mx+b

or, y = x/3+4/3

its point slope form,

y = x/3+4/3

or, y=(x+4)/3

or, y+1=(x+4)/3+1

or, y+1=(x+4+3)/7

or, y+1 =(x+7)/3

The equation of the line that pass thought the given points will be y+1 =(x+7)/3.

It is possible to determine a line's direction and steepness by looking at its slope. Finding the slope between lines inside a coordinate plane can aid in anticipating if the lines are perpendicular, parallel, or none at all without physically using a compass.

As per the data in the question,

Slope = (-1-3)/(-7-5)

= -4/-12

= 1/3

b = 3-(1/3) × 5

b = 4/3

As per the expression for slope,

y = mx+b

y = x/3+4/3

Now, point in slope form

y = x/3+4/3

y=(x+4)/3

y+1=(x+4)/3+1

y+1=(x+4+3)/7

y+1 =(x+7)/3

This is the expression for the line.

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The limit of the given expression as x approaches infinity is infinity.

To find the limit, we can simplify the expression by dividing both the numerator and the denominator by the highest power of x, which in this case is x^4. By doing this, we obtain (1 - 6/x^2) / (1/x - 7/x^4). Now, as x approaches infinity, the term 6/x^2 becomes insignificant compared to x^4, and the term 7/x^4 becomes insignificant compared to 1/x.

Therefore, the expression simplifies to (1 - 0) / (0 - 0), which is equivalent to 1/0.

When the denominator of a fraction approaches zero while the numerator remains non-zero, the value of the fraction becomes infinite.

Therefore, the limit as x approaches infinity of the given expression is infinity. This means that as x becomes larger and larger, the value of the expression increases without bound.

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See attachment for math work and answer.

Answer:

5/52

Step-by-step explanation:

There are 52 cards in a deck, with 26 red and 26 black cards. There are 2 red ones, 2 black threes, and 1 six of hearts. The # of favorable outcomes is 2 + 2 + 1 = 5, so the answer is 5/52.

Answer:

Step-by-step explanation:

Salary increase in 2 years = Salary in fifth year - salary in 3rd year

    = 87,023 -  43,250

     = $ 43,773

Salary increase per year= 43773/2 = $ 21,886.50

Based on the given information, we can assume that the relationship between the number of minutes used and the monthly cost is linear. To determine the equation of the linear relationship, we can use the two data points provided: (410 minutes, $71.50) and (720 minutes, $118).

Using the formula for the equation of a line, y = mx + b, where y represents the monthly cost, x represents the number of minutes used, m represents the slope of the line, and b represents the y-intercept, we can calculate the values. First, we find the slope (m) using the formula: m = (change in y) / (change in x) = (118 - 71.50) / (720 - 410) = 46.50 / 310 ≈ 0.15.

Next, we can substitute one of the data points into the equation and solve for the y-intercept (b):

71.50 = 0.15 * 410 + b

71.50 = 61.50 + b

b = 71.50 - 61.50

b = 10.

Therefore, the equation of the linear relationship between the number of minutes used (x) and the monthly cost (y) is y = 0.15x + 10.Based on the given information, we can assume that the relationship between the number of minutes used and the monthly cost is linear.

Using this equation, we can calculate the monthly cost for any given number of minutes used within the range of the data points.

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Answer:

C. y=2x+1

2×3=6

6+1=7

2×0=0

0+1=1

2×-1=-2

-2+1=-1

therefore answer=C

The horizontal distance from the tower to the fire is 7 feet

The term "angle of depression" describes the angle created by a horizontal line and the line of sight from the observer's eye to a location below their horizontal line of sight. It is often calculated by descending from the horizontal line.

The angle of depression is a term that is frequently used in discussions of observations or measurements involving objects that are below the observer's location in geometry and trigonometry.

We know that;

Tan 3 = x/140

x = 140 Tan 3

x = 7 feet

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By using the property of function, the result obtained is, When f(94) is divided by 1000, the remainder is 561

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here the functional equation is given by

\(f(x) + f(x - 1) = x^2\)

Now,

\(f(x) + f(x - 1) = x^2\)

\(f(x) = x^2 - f(x - 1)\\f(94) = 94^2 - f(93) = 94^2 - 93^2 + f(92) =\\94^2 - 93^2 + 92^2 - f(91) = 94^2 - 93^2 + 92^2 -91^2+f(90)\)

\(94 + 93 + 92 + 91 + ..... +20^2 - f(19)\)

\(94 + 93 + 92 + ..... + 21 + 400 - 94\) [Since \(94 - 93 = 93 - 92 = .... = 1\)]

\(\frac{74}{2}(21 + 94) + 400 -94\)

\(37 \times 115 + 400 - 94\\4255 + 400 - 94\\4561\)

So f(94) = 4561

When 4561 is divided by 1000, the remainder is 561

So, when f(94) is divided by 1000, the remainder is 561

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Complete Question

The function f has the property that, for each real number x

\(f(x)+f(x-1) = x^2\)

If f(19)=94 what is the remainder when f(94) is divided by 1000?

Answer:

91 in2

Step-by-step explanation:

11+15 over 2 , times by 7 equals 91 ??

Another strategy is to start by pressing a square in the middle of the grid, and then pressing the squares adjacent to it. This should help you turn off the squares in a cross pattern.

In mathematics, a sequence is an ordered list of elements, typically numbers, which may be finite or infinite. Each element in the sequence is called a term. For example, the sequence {1, 2, 3, 4, 5} is a finite sequence of integers with five terms. Sequences can be represented in several ways, such as listing out the terms, using a formula to generate the terms, or using recursive rules. For example, the sequence of even numbers can be generated using the formula 2n, where n is a positive integer. So, the first five terms of the sequence are 2, 4, 6, 8, 10. Sequences are used in many areas of mathematics, including number theory, calculus, and statistics. They are also used in real-world applications, such as modeling population growth or predicting stock prices.

Here,

One common strategy is to start by pressing one of the corner squares, and then pressing the squares adjacent to it. Then, move to the adjacent corner square and repeat the process. This should help you turn off the squares in one diagonal line.

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The answer after solving the expression 12x - 3y / 4x - z with x = 3,y=1/3 and z = 5 is 5.

Given:

x = 3 , y = 1/3 and z = 5 and expression  12x - 3y / 4x - z.

substitute the x,y,z values in expression.

= 12(3)-3(1/3) / 4(3)-5

= 36 - 3/3 / 12 - 5

= 36 - 1 / 7

= 35/7

= 5.

Therefore the answer after solving the expression 12x - 3y / 4x - z with x = 3,y=1/3 and z = 5 is 5.

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Answer:

Step-by-step explanation:

Terms    Coefficient

-60           -60

6p                6

-4z                -4

Answer:

The terms of expression are −30, 6p, and −4z.

The coefficients are 6 and −4.

A relation that contains no repeating groups and has non key columns solely dependent on the primary key but contains determinants is in 2 Normal Form (NF).

1 Normal Form (NF):

A relation is not in 1 NF if more than one entry appears in a single tipple. We divide the table and convert many entries to single entries in order to transform a table into one NF.

2 Normal Form (NF)

If the non-key totally depends on the primary key, the relation is in 2 NF. The relation is not in two NF if the non-key and primary key are partially dependent on one another.

3 Normal Form (NF)

The relationship is in 3 NF if the right side of the dependence is a prime attribute and the left side is a primary key or candidate key.

4 Normal Form (BCNF)

If the primary key or a candidate key is on the left hand side of the dependency, then the relation is in BCNF.

As there are no repeated groups in the aforementioned sentence, there are no multiple entries in a tuple. Therefore, creating several tables to divide the entries is not necessary. Thus, the relationship stated is in 1NF.

Non-key columns in the above statement are wholly dependent on the primary key, indicating that non-key is totally dependent on the primary key. The primary key and non-key do not partially depend on one another. The relationship is thus in 2 NF.

We are unable to determine the higher normal form because we do not have any additional relational information.

So, 2 NF is the normal form in which our relation is according to given statement.

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The limit of (Av) exists for all nonzero vectors v in ℝ³, so the answer is 2.

Since matrix A is diagonalizable, it can be expressed as A = PDP⁻¹, where D is a diagonal matrix whose diagonal entries correspond to the eigenvalues of A, and P is a matrix whose columns are the eigenvectors of A. In this case, the eigenvalues of A are 8.3, 10.0, and 4.1. Therefore, we can write A = PDP⁻¹, where D is the diagonal matrix with entries 8.3, 10.0, and 4.1.

Now, let's consider the limit of (Av) as v approaches a certain vector in ℝ³. Since v is nonzero, we can express it as a linear combination of the eigenvectors of A: v = c₁v₁ + c₂v₂ + c₃v₃, where c₁, c₂, and c₃ are scalars, and v₁, v₂, and v₃ are the eigenvectors corresponding to the eigenvalues 8.3, 10.0, and 4.1, respectively.

By substituting v = c₁v₁ + c₂v₂ + c₃v₃ into (Av), we have (Av) = A(c₁v₁ + c₂v₂ + c₃v₃) = c₁Av₁ + c₂Av₂ + c₃Av₃.

Since the matrix A is diagonalizable, Avᵢ = λᵢvᵢ, where λᵢ is the eigenvalue corresponding to the eigenvector vᵢ. Therefore, (Av) = c₁λ₁v₁ + c₂λ₂v₂ + c₃λ₃v₃.

As v approaches any nonzero vector in ℝ³, each term cᵢλᵢvᵢ approaches a finite value since the eigenvalues λᵢ are fixed constants. Hence, the limit of (Av) exists and is equal to a finite value for all nonzero vectors v in ℝ³. Therefore, the answer is 2.

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Once we have categorized an object, our memory of the object increasingly resembles the category is B) prototype. This means that when we categorize an object, our memory of it begins to resemble the prototype or typical example of that category. For example, if we categorize a bird as a robin, our memory of the bird will increasingly resemble the characteristics of a typical robin.

This happens because our brain uses prototypes as a shortcut to process information and make sense of the world around us. We use prototypes to quickly identify objects and make assumptions about their characteristics based on their category.

our memory of an object after categorization is influenced by the prototype of the category. This helps us to quickly process and make sense of information, but it can also lead to errors and biases in our thinking.


A prototype is a mental image or best example of a category. When we categorize an object, our memory of the object increasingly resembles the prototype because we tend to recall the most representative or typical example of the category.

Once we categorize an object, our memory of the object becomes more like the prototype, which is the best example of the category. This is because we tend to remember the most representative or typical examples of a category.

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Answer:

The correct option is a: 0.25 Liters.

Step-by-step explanation:

To find how many liters of soup are in one contanier we need to convert the unit milliliters to liters.

In 1 L we have 1000 mL so in one container of 250 mL we have the following content in liters:

\( V = \frac{1 L}{1000 mL}*250 mL = 0.250 L \)

Therefore, the correct option is a: 0.25 Liters.

I hope it helps you!

The projected balance of cash at the end of August is $38,000. The correct option is D.

To calculate the projected balance of cash at the end of August, we need to consider the cash balance at the beginning of the month, cash collections, and cash payments for August.

Given that the cash balance on July 31 was $32,000.00, we start with this amount.

Cash collections for August are $52,000.00, which means this amount is added to the cash balance.

Next, we consider cash payments for August, which include purchases of direct materials and operating expenses. The total cash payments for August are $20,000 (purchases of direct materials) + $26,000 (operating expenses) = $46,000.00. This amount is subtracted from the cash balance.

Finally, we calculate the projected balance of cash at the end of August by adding the cash collections and subtracting the cash payments from the beginning cash balance:

Projected cash balance at the end of August = Beginning cash balance + Cash collections - Cash payments

= $32,000 + $52,000 - $46,000

= $38,000

Therefore, correct option is D.

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Complete question is:

Berman Company is preparing its budget for the third quarter. Cash balance on July 31 was $32,000.00. Assume there is no minimum balance of cash required and no borrowing is undertaken. Additional budgeted data are provided here:

                                         July           Aug             Sep

Cash collections       $51,000.00 $52,000.00 $50,000.00

Cash payments

Purchases of direct materials     23,000     20,000        24,000

Operating expenses       32,000      26,000    22,000

Capital expenditures      7,000       9,000      13,000

Calculate the projected balance of cash at the end of August.

A. $23000

B. $29000

C. $107000

OD. $38000

Therefore , the solution of the given problem of triangle comes out to be  the shape is 55 square miles.

Because a triangular has two or more extra sections, it is a polygon. It's shape is a simple rectangle. A triangular shape can only be distinguished from a parallelogram by its sides A, B, and C. A singular plane rather than a cube is produced by Euclidean geometry when the edges are not perfectly collinear. A shape is referred to as triangular if it has three sides and three angles. An angle is the point where a quadrilateral's three sides meet. A triangle's sides add up to 180 degrees.

Here.

Two triangles with a base of 10 miles and heights of 7 miles and 4 miles can be formed from the composite design.

The following method can be used to determine a triangle's area:

A = (1/2)bh

where A represents area, B represents foundation, and H represents height.

We can calculate each triangle's area using the following formula:

=> Area of 1st triangle

=>  (1/2)(10)(7) = 35 square miles

=> Area of 2nd triangle

=>  (1/2)(10)(4) = 20 square miles

The two triangles' combined regions make up the composite shape's surface area.

55 square miles is the combined shape's area

=>  (35 + 20).

Consequently, the combined size of the two triangles in the shape is 55 square miles.

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Answer:

19.26

Step-by-step explanation:

Answer:

what is the equation?

Step-by-step explanation:

Answer:

\(7(2x + 3) = 3(4x + 6) + 2x + 3 \\ 14x + 21 = 12x + 18 + 2x + 3 \\ 14x - 14x = 21 - 21 \\ 0 = 0\)

Answer:

h = -21

Step-by-step explanation:

\(\frac{h}{3}=-7\\\\ \frac{h}{3}*3 =-7*3\\\\\boxed{h=-21}\)

Hope this helps.

Hey there!

\(Answer:\boxed{h=-21}\)

\(Explanation:\)

\(\frac{h}{3}=-7\)

To solve, we will need to simplify both sides of the equation.

\(\frac{1}{3}h=-7\)

Now we have to multiply both of the sides by 3.

\(3*(\frac{1}{3}h)=(3)*(-7)\\ h=-21\)

\(\frac{-21}{3}\\ -21/3=-7\\-21\text{ is the answer}\)

Hope this helps!

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