A set of data is given: 3, 7, 11, 11, 16 jesse calculated a measure of central tendency and got 9. 6, which measure of central tendency did he just calculate?.

A model to show [tex]\frac{9}{8}[/tex] is given below.

What is an improper fraction?

When the numerator of a fraction is more than or equal to the denominator, the fraction is said to be improper. The number at the top is the numerator, and the number at the bottom is the denominator.

Given, improper fraction = [tex]\frac{9}{8}[/tex]

Now, convert the given improper fraction into a mixed fraction

i.e.  [tex]\frac{9}{8} = 1\frac{1}{8}[/tex] ( mixed fraction)

That we can write [tex]1\frac{1}{8} = 1 + \frac{1}{8}[/tex]

The model to show [tex]\frac{9}{8}[/tex] is given below:

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Answer:

-x^2+2x-8

Step-by-step explanation:

6x^2+2x-8-7x^2 Different features used to show like terms

Simplify =

-x^2+2x-8

Answer: circumcenter

Step-by-step explanation:

If you meant the point of intersection of the perpendicular bisectors, this should be your answer.

Answer:

4/5

Step-by-step explanation:

hope it helped :)

Answer:

slope = - [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (6, - 3 ) and (x₂, y₂ ) = (- 2, 7 )

m = [tex]\frac{7-(-3)}{-2-6}[/tex] = [tex]\frac{7+3}{-8}[/tex] = [tex]\frac{10}{-8}[/tex] = - [tex]\frac{5}{4}[/tex]

The slope of a line that passes through the points (6,-3),(-2,7) is -5/4.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope of a line that passes through the points (6,-3),(-2,7):

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

m = (7+3)/(-2-6)

m = -10/8

m = -5/4

Therefore, the slope is -5/4.

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According to the given synthetic table, the quotient is 5x³ - 5x² + 3x + 2 and remainder is 1.

Synthetic table:

Basically, the shortcut for polynomial division when the divisor is of the form x – a. And only numeric coefficients of the dividend are used when dividing with synthetic division.

Given,

Here we have the synthetic table.

Now, we have to solve this one.

In order to find the quotient and remainder, we have to do the following steps:

Step-1 : Write down the first coefficient 5

Step-2 : Multiply our root -3 by our last result 5 to get -15 [ (-3) × 5=-15 ]

Step-3 : Add new result -15 to the next coefficient of the dividend 10, and write down the sum -5, [ 10 + (-15)=-5 ]

Step-4 : Multiply our root -3 by our last result -5 to get 15 [ (-3) × (-5)=15 ]

Step-5 : Add new result 15 to the next coefficient of the dividend -12, and write down the sum 3, [ (-12) + 15=3 ]

Step-6 : Multiply our root -3 by our last result 3 to get -9 [ (-3) × 3=-9 ]

Step-7 : Add new result -9 to the next coefficient of the dividend 11, and write down the sum 2, [ 11 + (-9)=2 ]

Step-8 : Multiply our root -3 by our last result 2 to get -6 [ (-3) × 2=-6 ]

Step-9 : Add new result -6 to the next coefficient of the dividend 7, and write down the sum 1, [ 7 + (-6)=1 ]

We have completed the table and have obtained the following coefficients 5,-5,3,2,1

Thus quotient is 5x³ - 5x² + 3x + 2  and remainder is 1.

And all these process are illustrated below.

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A class is made up of 6 boys and 14 girls. half of the boys wear glasses. a student is selected at random from the class.

0.2% probability that the student is a boy with glasses.

In order to calculate a probability we first need to know the total possible outcomes, so the total is boys plus the girls, 6+14=20, we have a total of 20 students, and we need the total number of successful outcomes, which is half of the girls, 4 girls use glasses.

So the probability is:

[tex]Probability = \frac{Successful Outcomes}{Total Possible outcomes}[/tex]

[tex]Probability = \frac{4}{20} \\\\Probability = \frac{1}{5} \\\\Probability = 0.2[/tex]

So the probability is 0.2% that if you pick a student at random you will pick a girl with glasses.

Hence the answer is 0.2% probability that the student is a boy with glasses.

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There is no difference between the mean IQ levels of people who were reared by their natural parents and those who were not.

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As we have divided the denominator by 5, we must also divide the numerator by 5. 10 dog treats divided by 5 beagles gives us 2 dog treats per Beagle. So our Unit Rate is Unit Rate of Dog Treats per beagle is = 2:1 2:1 is a direct ratio of 10:5, they are in fact equivalent ratios.

Answer:

2:1

Step-by-step explanation:

10/5 is equal to 2/1 simplified. Therefore the simplified ratio of 10/5 is 2:1

On simplifying the given equations y = (x - 2)² - 9 and y = (x + 1)(x - 5), they  represent the same parabola which is y = x² - 4x - 5

What is equation of parabola?

The equation of a parabola can be expressed in standard form and vertex form. The standard form of a parabola is y = ax² + bx + c where a, b, and c are constants, and a does not equal 0.

The vertex form of a parabola is y = a(x - h)² + k. The coordinates (h,k) represent the vertex of the parabola.

We can check if the given equations represent the same parabola by simplifying them to standard form of equation of parabola.

According to the given equation:

y = (x - 2)² - 9

y = x² - 4x + 4 - 9

∴ y = x² - 4x - 5 ------ 1)

Similarly simplifying other equation

y = (x + 1)(x - 5)

y = x² - 5x + x - 5

y = x² - 4x - 5 ----- 2)

Clearly equation 1) and 2) represent the same parabola having equation

y = x² - 4x - 5

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Yes, the electron pair repulsion determines the molecular shape, we can use  VSEPR to find out how.

What is VSEPR theory?

The amount of valence electron pairs present in the outermost shell is used by the valence shell electron repulsion theory (VSEPR) to predict the structure of molecules.

The number of valence shell electron bond pairs between atoms in a molecule is used in the valence shell electron repulsion theory (VSEPR), a model for predicting 3D molecular form.

VSEPR theory predicts that BeF2 should be a linear molecule, with a 180o angle between the two Be-F bonds.

The VSEPR theory, therefore, predicts a trigonal planar geometry for the BF3 molecule, with an F-B-F bond angle of 120o.

we can predict that a tetrahedral molecule in which the H-C-H bond angle is 109o28'.

Hence we can predict the molecular shape, using VSEPR theory.

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It is proved that every non-empty finite set has the same number of subsets of even size as it has subsets of odd size

The set's members are numbered 1, 2, 3, 4,..., n.

There is a set with an odd number of items that corresponds to every subset with an even number of elements in the following manner:

Delete 1 from the set to create one with an odd number of elements if it is a member of the set with an even number of elements.

Add 1 to the set to create a set with an odd number of items if it isn't already a member of the set with an even number of elements.

Let's say the set has the numbers 1, 2, 3, and 4. The relationship between sets with even numbers of elements and sets with odd numbers of elements is as follows:

even     odd

∅    ↔ {1}

{1,2}↔ {2}

{1,3}↔ {3}

{1,4}↔ {4}

{2,3}↔{1,2,3}

{2,4}↔{1,2,4}

{3,4}↔{1,3,4}

{1,2,3,4↔{1,2,3,4}

Therefore, it is demonstrated that any non-empty finite set has the same number of even-sized and odd-sized subsets.

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The solution to equation (x+3)² - 5 = 0 is x = -3 +√5 and x = -3 - √5. The solution to equation (2x+1)(x-5)=0 is x = -1/2 and x = 5.

The quadratic function is defined as a function containing the highest power of a variable is two.

To determine the solution to equation (x+3)² - 5 = 0

(x+3)² - 5 = 0

x² + 9 + 6x - 5= 0

x²+  6x + 4 = 0

Using the quadratic formula to solve the above quadratic function

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\dfrac{-6\pm \sqrt{6^2-4\cdot \:1\cdot \:4}}{2\cdot \:1}[/tex]

[tex]\sqrt{6^2-4\cdot \:1\cdot \:4}[/tex] = 2√5

x = -6± 2√5 / 2

x = -3± √5

x = -3 +√5 and x = -3 - √5

To determine the solution to equation (2x+1)(x-5)=0

(2x+1)(x-5)=0

(2x+1) = 0 and (x-5)=0

2x = -1 and x = 5

x = -1/2 and x = 5

Thus, the solution to equation (x+3)² - 5 = 0 is x = -3 +√5 and x = -3 - √5. The solution to equation (2x+1)(x-5)=0 is x = -1/2 and x = 5.

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A viable method of numeration that contained zero and allowed for the solution of equations was developed by Muslim academics, who also used logic to establish mathematical ideas and relationships.

The current arithmetic decimal system and the basic operations associated with it—addition, subtraction, multiplication, division, raising to a power, and extracting the square root and cubic root—were created by Muslim mathematicians.

The Indian numeral system, which is now known as Arabic numerals, was swiftly adopted by Islamic mathematicians. The development of algebra, the use of decimals, mathematical induction, and trigonometry were among the further contributions.

The Arabic translation of mathematical, medicinal, and astronomical writings from their original languages is one of the Islamic world's greatest contributions to contemporary science.

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Answer: $25

Step-by-step explanation:

Add 10 and 15 to get 25

Answer: y=$4.50+$3.20x

Step-by-step explanation: You already have to pay $4.50 plus $3.20 every mile driven (x) equals your final cost (y)

Answer:

See below

Step-by-step explanation:

Answer:

[tex]\textsf{D)} \quad y =-\dfrac{1}{3}x+7[/tex]

Step-by-step explanation:

The line of best fit of a scatter plot is a straight line that represents the general trend or pattern. It should pass as close as possible to the majority of the data points, minimizing the overall distance between the line and the points.

From observation of the given scatter plot, the line shows a negative association. Therefore, the slope of the line is negative. This means we can immediately discount the equations with positive slopes.

If we plot the line with the slope -2/3 (attachment 1 - blue line), we can see that the line passes through the first point, then has 3 points above the line but only 1 point below it.  The distance between point (6, 7) and the line is much greater than the distance between the line and the other points.

If we plot the line with the slope -1/3 (attachment 2 - red line), we can see that the line passes as close as possible to the majority of the data points, and minimizes the overall distance between the line and the points.

Therefore, the equation that is the best model for the line of best fit for the data is:

[tex]y =-\dfrac{1}{3}x+7[/tex]

There are five rules in one group

From the question, we have

25 rules in 5 groups

In one group = 25/5 = 5 rules

There are five rules in one group

Divide:

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers. One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping.

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The amount owed is $10865, based on the given parameters

The given parameters about the compound interest are

Principal Amount, P = $5300

Interest Rate, R = 8%

Time, t = 6 years

To calculate the amount owed, we make use of the following formula

A = P + CI

Where

Compound interest, CI = P(1 + R)^t - P

So, the equation becomes

A = P + P(1 + R)^t - P

Evaluate the like terms

A = P(1 + R)^t

In this question, the formula is given as

A = P(1 + r/n)^nt

Where

n = 12, i.e compounded monthly

Substitute the known values in the above equation

A = 5300 * (1 + 8%/12)^(6*12)

Express 8% as decimal

A = 5300 * (1 + 0.08/12)^(6*12)

Evaluate the sum

A = 5300 * (1.01)^(6*12)

Evaluate the exponent

A = 5300 * 2.05

Evaluate the product

A = 10865

Hence, the value of the amount after 6 years is $10865

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theorem of sines answer: A

Option 3 is the solution. The direct variation in this question is gotten from the option where we have the input x: 4 6 8, output y: 6 9 12

In mathematics, the direct variation in the form that is

y = kx

To define the term k, k is the constant of proportionality.

The equation is written and interpreted as y is directly to x. At option 3,

y = kx

when y = 6 and x = 4, we would have 6 = 4k.

then k = 6/4

= 1.5

To confirm, we have to put the input values to see if they correspond with their y values.

1.5 x 6 = 9

1.5 x 8 = 12

Hence option 3.

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In order to solve for the variable in the equation

We want to apply the distributive property to the given expression.

1 - x - 2 + 2x = 10x - 25 - x is the result of this step.

Let's see how to solve this:

Remember that the distributive property says that:

A*(B + C) = A*B + A*C.

Here we have the expression:

1 - (x + 2) + 2x = 5*(2x - 5) - x

We can apply the distributive property to the first term in the right side, we will get:

1 - (x + 2) + 2x = 5*(2x - 5) - x

1 - (x + 2) + 2x = 5*2x - 5*5 - x

1 - (x + 2) + 2x = 10x - 25 - x

Now we can also apply the distribute property to the second term in the left side:

1 - (x + 2) + 2x = 10x - 25 - x

1 - x - 2 + 2x = 10x - 25 - x

Hence the answer is, 1 - x - 2 + 2x = 10x - 25 - x is the result of this step.

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Tracking is the practice of testing students and using the results to place them in specific classes (such as remedial, advanced, college prep, etc.).

hence,Tracking is the practice of testing students and using the results to place them in specific classes (such as remedial, advanced, college prep, etc.).

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The volume of the sphere whose radius is 3 as represented in the task content above is; 113.04 units³.

It follows from the task content that the volume of the sphere which is as represented in the task content is to be determined.

Recall from geometry of solid shapes (3 - dimensional shapes), the volume of a sphere is given by the formula;

V = (4/3) π r³

where r = radius = 3.

Therefore, Volume, V of the sphere is;

V = (4/3) × 3.14 × 3³

V = 113.04 units³.

On this note, the volume of the sphere as described is; 113.04 units³.

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The value of x found after solving the equation using algebra tiles is -3.

What is algebra tiles?

Algebra tiles are mathematical manipulatives that help students comprehend the principles of algebra and strategies to think algebraically. For introductory algebra pupils at the level of elementary school, middle school, high school, and college, these tiles have demonstrated to offer solid examples.

Solving the equation for value of x

−x + (−3) = x + 3              

-x -3 = x + 3                  

subtracting x from both sides

(-x -3) -x = (x + 3) -x

-2x -3 = 3                      

Adding 3 to both sides

-2x -3 + 3 = 3 + 3

-2x = 6

Dividing by 2 both side.

x = -3

Therefore the value of x = -3

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Answer:

-3

Step-by-step explanation:

The percent of times that Emerson hit the ball, given the number of times that he struck out was 68 %

First, find the total number of times that Emerson had at bat:

= Game 1 + Game 2 + Games 3

= 90 + 120 + 140

= 350 times

The number of times Emerson missed was:

= 30 + 40 + 42

= 112 times

The number of times the ball was hit is therefore:

= 350 - 112

= 238 times

The percent of time the ball was hit:

= 238 / 350

= 68 %

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Answer:

x ≈ 28.3

Step-by-step explanation:

using the cosine ratio in the right triangle

cos45°= [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{40}[/tex] ( multiply both sides by 40 )

40 × cos45° = x , then

x ≈ 28.3 ( to the nearest tenth )

Answer:

Random assignment is necessary for internal validity, whereas random assignment is necessary for external validity

Step-by-step explanation: