since the mode is the most frequently occurring data value, it group of answer choices is always larger than the mean can never be larger than the mean none of these alternatives is correct. is always larger than the median

Answer:

hope this helps!! <3

Step-by-step explanation:

A fraction is represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

Given the equation AB = BC, we want to find B, assuming that A, B, and C are square matrices and B is invertible. We can conclude that B is invertible.

To do this, we will use the fact that if A is invertible, then we can multiply both sides of the equation by its inverse to isolate B:

AB = BC

[tex]A^-1 AB = A^-1 BC[/tex]

B = A^-1 BC

Here, A^-1 is the inverse of A, and it satisfies the equation[tex]A A^-1 = A^-1 A[/tex]= I, where I is the identity matrix. By multiplying both sides of the equation [tex]AB = BC by A^-1[/tex], we obtain the expression for B.

Now, let's consider the invertibility of B. If A and B are invertible, then the product AB is also invertible. This is because the product of two invertible matrices is invertible, and its inverse is given by the formula [tex](AB)^-1 = B^-1A^-1[/tex]. In this case, since[tex]B = A^-1 BC,[/tex] we can conclude that B is invertible.

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Answer: 46ft

Step-by-step explanation:

Alright so for this you must reference the pythagorean theorem which is:

a^2+b^2=c^2. c^2 is always the diagonal side and a^2 and b^2 the other two sides.

You can therefore set this up like this:

a^2+20^2=50^2 (where a is the side you are looking for- listed as x)

Solve:

a^2=50^2-20^2

a^2=2500-400

a^2=2100

sqrt(a^2)=sqrt(2100)

a= 45.8257569496

Round: a (or x)=46

The expression that represents the value of the stock after two years in terms of x is 1.6144x

After the first year, the value of the stock increased by 39%, which means that the stock's new value will be -

x + 0.39x = 1.39x

After the second year, the value of the stock decreased by 16%, which means that the stock's new value will be -

1.39x - 0.16(1.39x) = 1.16(1.39x)

Simplifying this expression, we get,

1.16(1.39x) = 1.6144x

Therefore, the expression that represents the value of the stock after two years in terms of x is 1.6144x.

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The complete question is -

Aubrey bought stock in a company two years ago that was worth x dollars. During the first year that he owned the stock, it increased by 39%. During the second year the value of the stock decreased by 16%. Write an expression in terms of x that represents the value of the stock after the two years have passed.

The approximate surface area of the can is 180.55 sq.inches

A cylinder's surface area is the area that its surface takes up in three dimensions. A three-dimensional structure known as a cylinder has circular bases that are parallel to one another. There are no vertices on it. Area of three-dimensional shapes often refers to surface area. Square units are used to denote the surface area. Examples include cm2, m2, and so forth. A group of circular discs placed on top of one another might be thought of as a cylinder. The cylinder has both surface area and volume since it is a solid with a three-dimensional geometry.

The area of the cylinder is determined by adding the areas of its two circular bases and curving surface.

The Surface Area of Cylinder = Curved Surface + Area of Circular bases

S.A. (in terms of π) = 2πr (h + r) sq.unit

Where, π (Pi) = 3.142 or = 22/7

r  = Radius of the cylinder

h  = Height of the cylinder

cylindrical can has a radius of 2.5 inches and a height of 9 inches

surface area =2πr (h + r) sq.unit

= 2π*2.5(9+2.5)

=180.55 sq.inches

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Answer:

$1.89/gal

Step-by-step explanation:

The amount that was paid by Ashley is $ 28.05.  

To find the discount on a given price, multiply the discount that is given by the original price and divide the result by 100.
To find the amount that can be paid by the consumer, subtract the resultant discount from the original price.

Final price of item = Original price - Discount  

Here we have

An item is regularly priced at $33.  

The discount that Ashley bought it = 15% off the regular price.  

The amount that Ashely paid for it = $ 33 - 15% of $ 33  

=> $ 33 - $ (15/100 × 33)

=> $ 33 - $ (0.15 × 33)

=> $ 33 - $ 4.95  

=> $ 28.05  

Therefore,

The amount that was paid by Ashley is $ 28.05.

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The given relation (-2,6)(-4,3)(3,-2)(8,6) is a function as every input has a single output.

A relation is set to be a function when every input has a single output.

In the given relation, -2,-4,3,8 has single output. Therefore, it is a function.

So, -2,-4,3 and 8 are the elements of the domain of the given

relation.

Here domain ={-2,-4,3,8} and range ={6,3,-3}

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Answer:

Step-by-step explanation:

200 rimwjh hdwqheywgygwuivug

Answer:

y = 2x - 3

Step-by-step explanation:

Pick two random points for slope

slope = m = rise/run = [tex]\frac{(-3-(-5))}{0-(-1)} = \frac{2}{1} = 2[/tex]

y intercept form:

y = 2x - 3

Answer:

In trapezium PQRS, AB is parallel to PS and PS is parallel to QR. Since we know the lengths of PA, AQ, and BR, we can calculate the length of SB as follows:

SB = PA + BR - AQ = 3 + 2.1 - 1.4 = 3.7 cm

[tex]\huge\underline{\red{A}\green{n}\blue{s}\purple{w}\pink{e}\orange{r} →}[/tex]

Total cards = 52

Total diamond cards = 13

So, probability of getting a card of diamond,

P(diamond) = 13/52 = 1/4

Now,

Total cards with number seven = 4

So, probability of getting a seven,

P(seven) = 4/52 = 1/13

The solution is, Right answer: C) -7 is a solution.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

We have the equation 2x² +5x -63 = 0

First, let's find the coefficients a, b and c as ax² +bx +c = 0:

• a = 2

• b = 5,

• c = -63

Now, we will use the formula below to solve this equation:

x = -b ±√b²-4ac/2a

Let's replace the coefficients with the values that we already found:

putting the values we get,

x = -5±23/4

Now, let's divide it into two solutions, look:

x1 = 9/2

x2 = -7

Right answer: C) -7 is a solution.

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The value of the number 88 in the ratio of 1:7 will be 11:77.

The ratio is defined as the division of the numbers into two parts according to the requirements. The ratio generally compares one value is how many times the other value.

Given that the £88 is distributed in the ratio of 1:7. The distributed form of the number will be calculated as:-

x + 7x = 88

8x = 88

x = 11

The two values will be,

x = £11

7x = 7 x 11

7x =£77

Therefore, the value of the number 88 in the 1:7 ratio is 11:77.

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The discriminant of a quadratic equation in standard form, [tex]ax^2 + bx + c = 0[/tex] , is given by the expression: [tex]b^2 - 4ac[/tex]

The expression gives the discriminant: [tex]b^2 - 4ac[/tex]

This expression is used to determine the nature of the roots of the quadratic equation. Specifically, if the discriminant is positive, then the equation has two real and distinct roots. If the discriminant is zero, then the equation has one real root with a multiplicity of 2. If the discriminant is negative, then the equation has two complex conjugate roots.

A quadratic equation is a second-degree polynomial equation in one variable, typically written in the form:

[tex]ax^2 + bx + c = 0[/tex]

where x is a variable and a, b, and c are constants. The coefficient "a" cannot be zero, since otherwise, the equation would become a linear equation.

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Answer:

If the height of the triangle is 11 cm greater than its corresponding base, we can represent the base as b and the height as h = b + 11.

Using the formula for the area of a triangle, A = (1/2) bh, we can substitute the values of b and h:

A = (1/2) (b)(b + 11)

A = (1/2) b^2 + (1/2) 11b

If the base of the triangle is 10 cm, then we can substitute b = 10 into the equation:

A = (1/2) (10^2) + (1/2) 11 * 10

A = 50 + 55

A = 105 cm^2

So, the area of the triangle is 105 cm^2.

Step-by-step explanation:

The trustworthiness of the prediction depends on the specific data and relationship between the predictor and response variable, and must be evaluated on a case-by-case basis.

To determine the trustworthiness of a prediction using a simple linear regression equation, we need to assess the degree of linearity and the strength of the relationship between the predictor and the response variable.

If the relationship between the predictor and response is linear, the simple linear regression model is appropriate, and if the relationship is strong, the predictions will be more trustworthy.

So, if we have four values for the predictor, we would need to evaluate the scatterplot of the predictor and response variable to determine the linearity and strength of the relationship.

If the scatterplot shows a clear and strong linear relationship between the predictor and the response variable, with a relatively small amount of scatter around the line of best fit, then we can be more confident that our predictions using the simple linear regression equation will be trustworthy.

On the other hand, if the scatterplot shows a weak or non-linear relationship, or a high amount of scatter around the line of best fit, then the predictions using the simple linear regression equation may not be as trustworthy.

Therefore, the trustworthiness of the prediction depends on the specific data and relationship between the predictor and response variable, and must be evaluated on a case-by-case basis.

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X = 2 (two) students study all three subjects (physics, geography, and economics). This can be found by adding the number of students who study only two subjects (6 + 4 + 5 = 15) and subtracting that from the total number of students who study at least one subject (55 - 20 = 35), since each of these 15 students who study two subjects is counted twice in the totals for each subject.

The number of students who study physics only is 10. This can be found by subtracting the number of students who study physics and at least one other subject (21 - 6 - 5 - 2 = 8) from the total number of students who study physics (21).

The number of students who study exactly one of the two subjects is 25. This can be found by adding the number of students who study each subject only (10 + 11 + 9) and subtracting that from the total number of students (55 - 20 = 35).

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Pair of ratios can form a true proportion I would usually give 45 points but i have 35 soo ye 25/20, 16/21.

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In circle M, m/NMO = 144º, and the area of the shaded sector = 107. then the length of MN is 23.19 units.

What is the sector of the circle?

That the portion (or part) of the circular region enclosed by two radii and the corresponding arc is called a sector of the circle.

The area of the shaded sector of circle M can be represented as follows:

Area of sector = (m/NMO / 360) * π * r²

We know that m/NMO = 144° and the area of the sector is 107, so we can substitute these values into the equation and solve for the radius:

107 = (144 / 360) * π * r²

Multiplying both sides of the equation by 360 / 144 gives:

360 * 107 / 144 = π * r²

Dividing both sides of the equation by pi gives:

r² = 360 * 107 / (144 * π)

Taking the square root of both sides of the equation gives:

r = √(360 * 107 / (144 * π))

Now that we know the radius, we can use it to find the length of MN.

The length of the minor arc MN is equal to the length of the central angle NMO in radians times the radius:

MN = m/NMO * π * r / 180

Substituting in the values for m/NMO and r gives:

MN = 144 * π * √(360 * 107 / (144 * π)) / 180

Hence, In circle M, m/NMO = 144º, and the area of the shaded sector = 107. then the length of MN is 23.19 units.

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In conclusion, the hospital needs to consider their staffing needs on a shift-by-shift basis, taking into account the number of patients and nurses' preferences.

Number  mathematical entity used to represent a quantity or magnitude it can be symbol or a combination of symbol used to denoted a quantity such as 2573 or 8 1 number are used in a variety of context including counting measuring and computing they are also used to denote the size or amount of something such as a number of people in a room or the number of apples in a basket number play an important role in mathematics including algebra geometry and calculus.

Based on the above figures, the hospital would require a staffing of approximately 62 nurses on Shift A, 93 nurses on Shift B, 68 nurses on Shift C, and 27 nurses on Shift D. This would equate to a total of 250 nurses, which is the number of nurses the hospital has on its staff.

The hospital can adjust the staffing needs by taking into account the amount of nurses needed to provide the necessary patient care. If the shift with the highest number of patients (Shift B) requires additional nurses, the hospital could move nurses from the shift with the lowest number of patients (Shift D). This would result in fewer nurses on Shift D, but would allow for more nurses on Shift B.

In order to ensure that nurses are working in a safe and comfortable environment, the hospital should also take into account the nurses' own preferences. If nurses prefer to work certain shifts, the hospital can adjust the staffing levels accordingly. This can help create a better work-life balance for the nurses, which can, in turn, improve their job satisfaction and performance.

In conclusion, the hospital needs to consider their staffing needs on a shift-by-shift basis, taking into account the number of patients and nurses' preferences. This way, they can maintain a safe and comfortable environment for their nursing staff, while also ensuring that they have enough nurses to provide the necessary care to their patient.

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Answer: The number of ways to form a group of 5 students from a class of 20 students is calculated using the combination formula:

C(20,5) = 20! / (5! * (20-5)!) = 15504

So, there are 15,504 different ways in which 5 students can form a group.

Step-by-step explanation:

The average rate of change of the function is 1.6

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

The graph

The interval is given as

−4≤x≤1.

From the graph, we have

f(-4) = -4

f(1) = 4

The average rate of change at this interval is calculated as

Rate = Change in function values/Change in x values

So, we have

Rate = (-4 - 4)/(-4 - 1)

Evaluate

Rate = 1.6

Hence, the rate is 1.6

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The missing sides of the two right triangles are B ≈ 75.5, b ≈ 10.7 and a ≈ 6.9.

In this problem we find two similar right triangles. Two triangles are similar when they have congruent angles and sides that are not congruent but proportional. Sides in right triangles are related each other by means of Pythagorean theorem:

r² = x² + y²

Where:

According to the statement, we need to use the following relationships:

B = √(C² - A²)

a / A = b / B = c / C

If we know that A = 49, C = 90 and c = 12.7, then the lengths of missing sides are:

B = √(90² - 49²)

B = √5699  (approx. 75.5)

b = B × (c / C)

b = √5699 × (12.7 / 90)

b = 127√5699 / 900 (approx. 10.7)

a = A × (c / C)

a = 49 × (12.7 / 90)

a = 6233 / 900 (approx. 6.9)

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The simple interest on Rs 7560 will be Rs 1102.50 at a rate of 25/4% per annum after approximately 1 month (0.09 years).

Simple interest is a type of interest that is calculated only on the principal amount of a loan or investment, and not on any accumulated interest. It is usually calculated as a percentage of the principal amount, multiplied by the time period for which the interest is being calculated.

We can use the formula for simple interest to solve this problem:

Simple Interest (SI) = Principal (P) x Rate (R) x Time (T)

We know that the principal is Rs 7560, the rate is 25/4% per annum, and the interest is Rs 1102.50. Substituting these values into the formula, we get:

1102.50 = 7560 x (25/4) x T

Simplifying:

1102.50 = 47250T/4

Multiplying both sides by 4 to eliminate the fraction:

1102.50 x 4 = 47250T

4410 = 47250T

Dividing both sides by 47250:

T = 4410/47250

T = 0.093 or approximately 0.09 years.

To convert this to months or days, we can multiply by 12 or 365, respectively.

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Answer: A 90° rotation around the origin maps point (x, y) to (-y, x). So, the image of point J after a 90° rotation is J' = (-2, 2) -> (-2, -2).

A reflection across the line x = 3 maps point (x, y) to (2x - 3, y). So, the image of point J' after a reflection across x = 3 is J'' = (-2, -2) -> (4, -2).

Similarly, we can find the images of K and L:

K' = (-2, 6) -> (-6, -2)

K'' = (-6, -2) -> (-2, -2)

L' = (-8, 2) -> (2, -8)

L'' = (2, -8) -> (8, -2)

Therefore, the image of triangle JKL after the 90° rotation and reflection is triangle PQR, with vertices P = J'', Q = K'', and R = L''.

The area of triangle PQR can be found using the Shoelace Formula:

P = [(4 -2) + (-2 -2) + (8 -2) * (-2 - (-8))]/2 = [6 + 4 * 6]/2 = 30/2 = 15 square units.

So, the area of triangle PQR is 15 square units.

Step-by-step explanation:

The equation shows the parallel line.

The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.

In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.

Given:

y = -x-1......................(1)

y = -x + 2...................(2)

Solving equation (1) and (2) we get

-x -1 = -x +2

0 = 3

Now, if compare the given equation then the equation gives the relation of Parallel lines.

Thus, the equation do not represent the same line.

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Based on the Venn diagram, the number of people in each set are follows:

The number of people in each set in the Venn diagram is calculated as follows:

The universal set has a total of 50 people

Let the intersection of A and B be x

A∩B = x

The number of people in A alone = 24 - x

The number of people in B alone = 30 - x

x + (24 - x) + (30 - x) + 7 = 50

61 - x = 50

x = 61 - 50

x = 11

A∩B = 11

Hence;

The number of people in A alone = 24 - 11

The number of people in A alone = 13

The number of people in B alone = 30 - 11

The number of people in B alone = 19

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