most mis's use sophisticated mathematical models or statistical techniques. group of answer choices true false

(a) The number of ways that the event can occur is 6.

(b) Probabilities are :

1) 1/2, 2) 1/6 and 3) 1/3.

(a) Given a bag of different shapes.

Total number of shapes = 6

So, if we select one shape from random,

total number of ways that the event can occur = 6

(b) Number of squares in the bag = 3

Probability of choosing a square = 3/6 = 1/2

Number of circles in the bag = 1

Probability of choosing a circle = 1/6

Number of stars in the bag = 2

Probability of choosing a star = 2/6 = 1/3

Hence the required probabilities are found.

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The endpoints of the major axis of the ellipse ((x-3)^2)/9+(y-6)^2/16=1 are (3,6) and (3,2).

In the given equation, we can see that the x-term is squared and has a denominator of 9, while the y-term is squared and has a denominator of 16. This indicates that the major axis is aligned with the y-axis since the denominator of the y-term (16) is larger than the denominator of the x-term (9), making the y-axis the major axis.

To find the length of the major axis, we need to identify the square root of the larger denominator in the equation. In this case, the square root of 16 is 4. This means that the length of the major axis is 2 times the square root of 16, which is 2 times 4, resulting in a length of 8 units.

To determine the endpoints of the major axis, we look at the center of the ellipse. In the equation, the center is represented as (3, 6), which means that the ellipse is centered at the point (3, 6). Since the major axis is aligned with the y-axis, the endpoints of the major axis will have the same x-coordinate as the center (3) and will differ in their y-coordinates.

To calculate the y-coordinates of the endpoints, we add and subtract half the length of the major axis from the y-coordinate of the center (6). Half the length of the major axis is 8/2 = 4, so we add and subtract 4 from the y-coordinate of the center. This gives us the endpoints of the major axis as (3, 6 + 4) = (3, 10) and (3, 6 - 4) = (3, 2).

Therefore, the endpoints of the major axis are (3, 10) and (3, 2).

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Answer:

\(Volume=56\frac{1}{4}\) cubic feet

Step-by-step explanation:

Given

\(L =3\frac{3}{8}ft\) --- Length

\(W =13\frac{1}{3}ft\) --- Width

\(H =3\frac{3}{4}\) --- Tank

\(Water\ level = \frac{2}{3}\)

Required

Space not covered with water

If the water level is:

\(Water\ level = \frac{2}{3}\)

Then the empty space is:

\(Empty = 1 - Water\ level\) --- Complement rule

\(Empty = 1 - \frac{2}{3}\)

Take LCM

\(Empty = \frac{3-2}{3}\)

\(Empty = \frac{1}{3}\)

So, the volume of the empty space is:

\(Volume=L*W*H*Empty\)

\(Volume=3\frac{3}{8} *13\frac{1}{3}*3\frac{3}{4}*\frac{1}{3}\)

Express fraction as improper fraction

\(Volume=\frac{27}{8} *\frac{40}{3}*\frac{15}{4}*\frac{1}{3}\)

Simplify

\(Volume=\frac{9}{8} *\frac{40}{3}*\frac{15}{4}\)

Simplify

\(Volume=\frac{3}{8} *\frac{40}{1}*\frac{15}{4}\)

Simplify

\(Volume=\frac{3}{1} *\frac{5}{1}*\frac{15}{4}\)

\(Volume=\frac{3*5*15}{4}\)

\(Volume=\frac{225}{4}\)

\(Volume=56\frac{1}{4}\)

According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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Given that 1 kilometer = 0.62 mile, 36 inches = 1 yard, and 1 mile = 1760 yards, 1 km has approximately 39,283.2 inches.

In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.

A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.

From the problem, the conversion factors are given as

1 kilometer = 0.62 mile

36 inches = 1 yard

1 mile = 1760 yards

To convert 1 kilometer into inches, first, convert 1 kilometer to miles using the conversion factor, 1 kilometer = 0.62 mile

1 km = 0.62 miles

Then, convert miles to yards using the conversion factor, 1 mile = 1760 yards

1 km = 0.62 miles = 0.62 (1760 yards)

1 km = 0.62 miles = 1091.2 yards

Lastly, convert yards to inches using the conversion factor, 36 inches = 1 yard

1 km = 0.62 miles = 1091.2 yards = 1091.2 (36 inches)

1 km = 0.62 miles = 1091.2 yards = 39,283.2 inches

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Jamie rides a ferris wheel for five minutes. the diameter of the wheel is 10 meters, and its center is 6 meters above the ground. each revolution of the wheel takes 30 seconds. being more than 9 meters above the ground causes jamie to suffer an anxiety attack.Jamie feels uncomfortable for 150 seconds.

To solve this question, we can calculate how long it takes for Jamie to reach the height of 9 meters.

The diameter of the wheel is 10 meters, so the circumference is 2π x 10 = 62.83 meters.

As each revolution of the wheel takes 30 seconds, Jamie would reach the height of 9 meters after

62.83 / 30 = 2.094 revolutions.

Therefore, it would take Jamie 2.094 x 30 = 62.83 seconds to reach the height of 9 meters and feel uncomfortable. Since Jamie rides the ferris wheel for five minutes, that would mean Jamie feels uncomfortable for

5 x 60 = 300 seconds minus

the time it took to reach the height of 9 meters, which is 300 - 62.83 = 150 seconds.

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Answer:

b) 2(3x+4)

Step-by-step explanation:

Distributive formula: a(b + c)  = ab + ac

Solving steps:

a) 2(3x-4) = 2(3x) + 2(-4) = 6x - 8

b) 2(3x+4) = 2(3x) + 2(4) = 6x + 8

c) 2(4x+6) = 2(4x) + 2(6) = 8x + 12

d) 2(3x+8) = 2(3x) + 2(8) = 6x + 16

Among from all the options, option B is equivalent to 6x + 8.

The length of the shortest straight  is approximately 28.01 ft.

What is the right triangle?

A right triangle is" a type of triangle that has one angle measuring 90 degrees (a right angle). The other two angles in a right triangle are acute angles, meaning they are less than 90 degrees".

To find the length of the shortest straight beam,we can use the Pythagorean theorem.

Let's denote the length of the beam as L and  a right triangle formed by the beam, the wall, and the ground. The wall is 28 ft tall, and the distance from the wall to the building is 1 ft.

Using the Pythagorean theorem,

\(L^2 = (28 ft)^2 + (1 ft)^2\)

Simplifying the equation:

\(L^2 = 784 ft^2 + 1 ft^2\\ L^2 = 785 ft^2\)

\(L = \sqrt{785}ft\)

Calculating the value of L:

L ≈ 28.01 ft

Therefore, the length of the shortest straight beam  is approximately 28.01 ft.

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The point in the form (1, y, z) that is equivalent to the given points is (1, 3/5, 3/5).

To find all the points in the form (1, y, z) that are equivalent to the points (2, -1, 0) and (0, -2, 1), we can use the concept of vector equivalence.

Let's consider the vector from (1, y, z) to (2, -1, 0). This vector is (2-1, -1-y, 0-z) = (1, -1-y, -z).

Similarly, the vector from (1, y, z) to (0, -2, 1) is (0-1, -2-y, 1-z) = (-1, -2-y, 1-z).

Since these two vectors are equivalent, we can set them equal to each other:

(1, -1-y, -z) = (-1, -2-y, 1-z)

Simplifying this equation, we get:

y - z = 0

2y + 3z = 3

Therefore, all points in the form (1, y, z) that are equivalent to the given points are given by the equations:

y = z

2y + 3z = 3

Solving this system of equations, we get:

y = 3/5

z = 3/5

So the point in the form (1, y, z) that is equivalent to the given points is (1, 3/5, 3/5).

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Answer:

volume of the dough = independent

Step-by-step explanation:

here is your answer! volume of the dough = independent

have a good day

Step-by-step explanation:

a would move towards the right direction since a is greater than 3

r would move towards the left direction since r is less than or equal to -2

The complete statement is -

"Even though the triangles are all different sizes, the decimal values for each ratio are same."

A triangle is a two - dimensional figure with three sides and three angles.

The sum of the angles of the triangle is equal to 180 degrees.

∠A + ∠B + ∠C = 180°

Given is that -

"Even though the triangles are all different sizes, the decimal values for each ratio are ​_____."

We can write the complete statement as -

"Even though the triangles are all different sizes, the decimal values for each ratio are same."

Therefore, the complete statement is -

"Even though the triangles are all different sizes, the decimal values for each ratio are same."

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Answer:

I don not understand this question

I do not know the meaning of:

Phân tích đa thức thành nhân tử

Step-by-step explanation:

Sorry. I cannot help you.

Answer:

sry i thought i knew how to do it but I can't remember

Step-by-step explanation:

Answer:

(x + 5)² + 10

Step-by-step explanation:

Given

x² + 10x + 35

To complete the square

add/ subtract ( half the coefficient of the x- term)² to x² + 10x

x² + 2(5)x + 25 - 25 + 35

= (x + 5)² + 10

Answer:

n=10

Step-by-step explanation:

The given equation is  

\(10+12+14+...+2n=90\)        ...(1)

Let nth term is 2n.

We need to find the values of n.

It is clear that \(S_n=10+12+14+...+2n\) is sum of A.P., whose first term is 10 and common difference is 2.

Sum of A.P. is  

\(S_n=\dfrac{n}{2}[2a+(n-1)d]\)

where, a is first term and d is common difference.

Substitute a=10 and d=2 in the above formula.

\(S_n=\dfrac{n}{2}[2(10)+(n-1)2]\)

\(10+12+14+...+2n=n[10+n-1]\)

\(10+12+14+...+2n=n[9+n]\)     ...(2)

From (1) and (2), we get

\(n(9+n)=90\)

\(n^2+9n-90=0\)

Splitting middle term, we get

\(n^2+15n-6n-90=0\)

\(n(n+15)-6(n+15)=0\)

\((n+15)(n-6)=0\)

\(n=-15,6\)

Since, n represents the number of terms so n cannot be a negative number, therefore number of term is 6.

Note: nth term and variable n both are different.

\(a_n=a+(n-1)d\)

\(a_6=10+(6-1)2=10+10=20\)

Sixth term is 20. So,

\(2n=20\)

\(n=10\)

Therefore, the value of n is 10.

Answer:

Least to greatest?????

Answer:

3rd graph

Step-by-step explanation:

Answer:

The third one

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Clustered data emerge when the data from the entire sample can be grouped into a variety of different categories, refers to as clusters. Each cluster involves numerous observations, giving the data a “clustered” or “hierarchical” structure, with each observations encapsulated within the cluster.

Also, if we plot a series of numbers on a graph and we will see several of our dots gathered together, we have a cluster

From the above definition of clustered data the only option that is fitting into it is option C .

25,50,50,25,75,75

a) The solution to this equation is the trivial solution x = (0,0,0)T, which means that the kernel of L is the zero vector.

The range of L is all of R3.

b) The kernel of L is the set of all vectors of the form (0,y,z)T.

The range of L is the set of all vectors of the form (a,a,a)T, where a is any constant.

To find the kernel and range of a linear operator on R3, we need to first understand what these terms mean. The kernel of a linear operator is the set of all vectors that are mapped to the zero vector by the operator, while the range is the set of all possible output vectors that can be obtained from the operator.

a) L(x) = (x3,x2, x1)T

To find the kernel, we need to solve the equation L(x) = 0, which gives us the system of equations:

x3 = 0

x2 = 0

x1 = 0

The only solution to this system is the trivial solution x = (0,0,0)T, which means that the kernel of L is the zero vector.

To find the range, we need to determine all possible output vectors that can be obtained from L. Since L maps a vector x to a vector with its components reversed, we can see that any vector in R3 can be obtained by applying L to a vector of the form (a,b,c)T, where a, b, and c are arbitrary constants. Therefore, the range of L is all of R3.

b) L(x) = (x1,x1, x1)T

To find the kernel, we need to solve the equation L(x) = 0, which gives us the system of equations:

x1 = 0

The solution to this system is x = (0,y,z)T, where y and z are arbitrary constants. Therefore, the kernel of L is the set of all vectors of the form (0,y,z)T.

To find the range, we can see that L maps any vector x in R3 to a vector of the form (x1,x1,x1)T. Therefore, the range of L is the set of all vectors of the form (a,a,a)T, where a is any constant.

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A valid conclusion is one that naturally follows from informed, formulated hypotheses, prudent experimental design, and accurate data analysis.

If an argument is invalid, then it must have at least one false premise. If an argument has a conclusion that is certainly false, then the argument must be invalid. If the premises and conclusion are all false, the argument must be invalid.

A biased sample occurs when the group selected for a statistical study or survey is not random and doesn't properly represent the larger population. This is a result of sampling bias which occurs when the sample of the population is not representative of the population at large.

If an overestimate or underestimate does happen, the mean of the difference is called a “bias.” In more mathematical terms, an estimator is unbiased if: That's just saying if the estimator (i.e. the sample mean) equals the parameter (i.e. the population mean), then it's an unbiased estimator.

Cohort studies are an appropriate study design when: (1) there is good evidence to suggest an association between an exposure and an outcome (perhaps through prior cross-sectional studies); (2) the interval between exposure and development of the outcome is relatively short to minimize loss to follow-up; and (3) the outcome is not too rare (so that the size of the cohort is reasonable).

Hence,

No actual study was done, only observation.

From the above explanation, we can say that

The conclusion drawn from the study is not valid because the sample is Biased.In this instance, an inappropriate study was conducted

Answer:

3x^2 - 3x + 18

Step-by-step explanation:

x*3x=3x^2

(x*6)+(-3*3x)=-3x

-3*6=-18

The length of the base is approximately 8.72 cm and the height is approximately 21.16 cm.

Let's use the formula for the area of a triangle, which is:

A = (1/2) * b * h

where A is the area, b is the length of the base, and h is the height.

We know that the area is 80cm^2, so we can write:

80 = (1/2) * b * h

We also know that the height is 4cm less than three times the base length. So we can write:

h = 3b - 4

Now we can substitute this expression for h into the area formula:

80 = (1/2) * b * (3b - 4)

Simplifying this equation, we get:

160 = b * (3b - 4)

Expanding the brackets on the right-hand side, we get:

160 = 3b^2 - 4b

Rearranging this equation, we get:

3b^2 - 4b - 160 = 0

This is a quadratic equation that we can solve using the quadratic formula:

b = (-(-4) ± sqrt((-4)^2 - 4 * 3 * (-160))) / (2 * 3)

Simplifying this expression, we get:

b = (4 ± sqrt(256 + 1920)) / 6

b = (4 ± sqrt(2176)) / 6

b ≈ 8.72 or b ≈ -2.06

Since the length of the base cannot be negative, we can discard the negative solution and conclude that the base has a length of approximately 8.72 cm.

To find the height, we can substitute this value of b into the equation we derived for h:

h = 3b - 4

h = 3(8.72) - 4

h ≈ 21.16

Therefore, the length of the base is approximately 8.72 cm and the height is approximately 21.16 cm.

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Answer:

Got to quizlet it has the answer.

Step-by-step explanation:

Hope it helps

The main task for members during the final session is to put into words what has transpired from the first to the final session.

The group's goals should be discussed during the first few meetings, then each member's personal goals should be covered. Even small toddlers can follow and take part in these dialogues. They must be aware that the emphasis will be on defining and exploring particular issues and themes.

Over the years, I've discovered that assisting customers in comprehending what will occur during their initial meeting (often referred to as the "intake session") can be extremely beneficial in putting them at ease and beginning our partnership on a cordial and inviting note.

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The values of the interior angles, ( Angle A, Angle B and Angle C) of the triangles are 48°, 88° and 44° respectively.

Interior angle is the inner of the two angles formed where two sides of a polygon come together.

To find the measure of each interior angle of the triangle in the diagram, first, we need to find the value of x.

Recall that: The sum of the interior angles of a triangle is equal to 180°.

Using the formula,

From the triangle,

Substitute these values into equation 1

Solve for x

Therefore,

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The answer is True.

In a minimization problem, the objective is to find the point or solution that yields the smallest possible value for the objective function. A point is considered a global minimum if there are no other feasible points that have a smaller objective function value.

In other words, the global minimum represents the best possible solution in the given feasible region.

To determine whether a point is a global minimum, it is necessary to compare the objective function values of all feasible points. If no other feasible points have a smaller objective function value, then the point in question can be identified as the global minimum.

However, it is important to note that in certain cases, multiple points may have the same objective function value, and all of them can be considered global minima. This occurs when there are multiple optimal solutions with the same objective function value. In such cases, all these points represent the global minimum.

In summary, a point is considered a global minimum in a minimization problem if there are no other feasible points with a smaller objective function value. It signifies the best possible solution in terms of minimizing the objective function within the given feasible region.

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The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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Answer: Caitlyn’s chocolate milk is stronger.

Step-by-step explanation:

Rachel = 60/400
= 3/20 or 15%

Caitlyn = 40/250

= 4/25 or 16%