Find the mean for the number of yards gained by Roger during his seven carries in the
football game: {2, 6, 20, 11, 8, 12, 4}.
A 08
B 09
C 63
D 07

Answer:

y = 10 x = 4

Step-by-step explanation:

Answer:

y = 10x - 30

Step-by-step explanation:

x = 5

5 x 10 = 50

50 - 30 = 20

y = 20

x = 6

6 x 10 = 60

60 - 30 = 30

y = 30

x = 7

7 x 10 = 70

70 - 30 = 40

y = 40

x = 8

8 x 10 = 80

80 - 30 = 50

y = 50

Answer:

It's volume is of 84.78 cubic inches.

Step-by-step explanation:

Volume of a cylinder:

The volume of a cylinder with radius r and height h is given by:

\(V = \pi r^2h\)

A cylinder has a height of 12 inches and a radius of 1.5 inches.

This means that \(h = 12, r = 1.5\)

What is its volume?

\(V = \pi r^2h = 3.14(1.5)^2(12) = 84.78\)

It's volume is of 84.78 cubic inches.

1. Variable: A symbol or letter that represents an unknown value or quantity in algebraic expressions and equations.

2. Equation: A mathematical statement that shows the equality between two expressions, typically represented by an equal sign (=).

3. Coefficient: The numerical factor that is multiplied by a variable in a term.

4. Expression: A mathematical phrase that may contain variables, constants, and operations, but does not have an equal sign.

5. Linear Equation: An equation in which the highest power of the variable is 1, written in the form ax + b = 0, where a and b are constants and x is the variable.

Variable: In algebra, a variable is a symbol (usually a letter) that represents an unknown value or quantity. It allows us to express mathematical relationships and solve equations.

Equation: An equation is a mathematical statement that shows the equality between two expressions.

It consists of an equal sign (=) and can include variables, constants, and operations.

Solving equations involves finding the values of the variables that make the equation true.

Coefficient: A coefficient is the numerical factor that is multiplied by a variable in a term.

It represents the scale or magnitude of the variable.

For example, in the term 3x, the coefficient is 3.

Expression:

An expression is a mathematical phrase that can contain variables, constants, and operations, but does not have an equal sign.

Expressions can be evaluated or simplified, but they cannot be solved since they lack the equality found in equations.

Linear Equation:

A linear equation is an equation where the highest power of the variable is 1.

It can be written in the form ax + b = 0,

where a and b are constants and x is the variable.

Solving linear equations involves finding the value(s) of x that satisfy the equation.

These are just a few key definitions that form the foundation of understanding introductory algebra.

Mastering these concepts will provide a solid basis for further exploration and learning in algebraic principles and problem-solving.

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The average rate of change of the function over the interval is 1

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

f(x) = x

The interval is given as

From x = 4 to x = 9

The function is a linear function

This means that it has a constant average rate of change

So, we have

f(4) = 4

f(9) = 9

Next, we have

Rate = (9 - 4)/(9 - 4)

Evaluate

Rate = 1

Hence, the rate is 12

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Answer:

x = 51

can't see the problem very well but I'm pretty sure this is the answer.

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

-50

Step-by-step explanation:

divide both sides by -6.2. This gets rid of the -6.2 on the right.

divide 310 by -6.2

f = -50

The required point is (10, - 1 )

An operation is a transformation if it moves, flips, or otherwise alters a figure to produce a new figure. Rigid transformations, sometimes referred to as isometry or congruence transformations, do not alter the size or shape of a figure.

Rotations, reflections, and translations are the stiff transformations. The term "image" refers to the transformed new figure. Preimage refers to the original image.

The translation is 5 units to the right indicates +5 to the x-coordinate.

Translation of two units downward denotes a two-unit subtraction from the y-coordinate.

(x, y ) → Translation rule

is (x + 5, y - 2),

therefore (5, 1) = (5 + 5, 1 - 2) (10, - 1 )

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The area of the sector in terms of π is 35.6π inches squared.

The area of the sector is approximately  111.6 inches square

The area of sector of a circle is the amount of space enclosed within the boundary of the sector.

Therefore,

area of a sector = ∅ / 360 × πr²

where

Therefore,

∅ = 200 degrees

r = 8 inches

area of the sector = 200 / 360 × 8²π

area of the sector = 200 / 360 × 64π

area of the sector =12800π/  360

area of a sector = 35.6π inches squared

Let's find the area of the sector with π = 3.14

area of a sector = 35.6 × 3.14 = 111.6 inches square

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A constant term that makes the equation have infinite solutions include the following: C. 20

In Mathematics, an equation is said to have an infinitely many solutions when the left hand side and right hand side of the equation or inequality are the same and equal.

This ultimately implies that, an equation or an inequality would have infinitely many solutions when both sides of the equal sign are the same, and both the slope and y-intercept for the two lines are the same.

By applying the rule for an infinitely many solutions, we have:

5x + 20 = 5x + 20

5x - 5x = 20 - 20

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The total cost of all the items he wants to buy with the applied discount and before tax is $9.9.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Bashir has a loyalty card good for a 10% discount at his local hardware store.

So, Each good he buys at (100 - 10)% = 90% of the value before tax.

He wants to buy some items that cost $11  before the discount and tax.

Therefore the amount he has to pay is,

= (90/100)×11.

= $9.9

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Answer:

\(\frac{1}{32} yards^{3}\)

Step-by-step explanation:

\(V=w*h*l\)

↓

\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)

=

\(\frac{1}{32} yards^{3}\\\)

Hope this helps!

Given ,

Consider, the point (-2,5)

Which satisfies the given inequality.

Consider the point, (4, 3)

Which satisfies the given inequality.

Consider the point, (-1, -1)

Which does not satisfy the given inequality.

We want to see where Oliver is making a mistake in his claim.

The correct option is the first one, the simplification on the last step is wrong.

We start with the expression:

\(tan( \frac{3*pi}{4} + x)\)

Now, by looking at Olvier's work, we can see that on the last step he writes:

\(\frac{-1 + tan(x)}{1 + tan(x)} = -1\)

This is clearly wrong, as the numerator and the denominator are dont simplify to -1 (this only happens if the numerator is -1 times the denominator), so the left side can't be equal to -1, it actually would be simplified to:

\(\frac{-1 + tan(x)}{1 + tan(x)} = \frac{-1 +1 - 1 tan(x)}{1 + tan(x)} = \frac{-2 + 1 + tan(x)}{1 + tan(x)} \\\\\frac{-2 + (1 + tan(x))}{1 + tan(x)} = \frac{-2 }{1 + tan(x)} + \frac{ 1 + tan(x)}{1 + tan(x)} = \frac{-2 }{1 + tan(x)} + 1\)

Then the correct option is the first option.

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1. There is no relationship

2. Two cities have an average snowfall of nearly 100 inches.

A scatter plot, also known as a scatter diagram or scatter graph, displays the relationship between two variables. It is particularly beneficial for identifying any patterns or trends in the data and showing how one variable might be related to another.

In a scatter plot, each data point is represented on the graph by a dot or marker. The horizontal axis (x-axis) is frequently used to represent the independent variable or predictor, while the vertical axis (y-axis) is frequently used to represent the dependent variable or reaction. Each dot's locations on the graph correspond to the values of the two variables for that particular data point.

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A rectangle that could have a perimeter of 52 feet is a 12 feet by 14 feet rectangle.

The symbols W and L are variables.

The symbol P is a constant.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;

P = 2(L + W)

52 = 2(12 + 14)

52 = 2(26)

52 feet = 52 feet.

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Answer:

\((2 \times 15x) + (2 \times 10) \\ = 30x + 20 \\ = 10(3x + 2)\)

Answer:

30x+20

Step-by-step explanation:

(2*15x) is 30x

(2*10) is 20

30x+20 can't be further simplified

Answer: Read the solution

Step-by-step explanation:

A. For diagram A, triangles ANC and BDE are similar. Thus, we can use similarity ratios to find the length of AC. (x+1)/12 = (x+5)/15. 15x+15=12x+60. Thus 3x=45, and x=15. Since we need to find AC, AC = 15+1 = 16.

B. For diagram B, triangles SRT and VUT are similar. Again, using similarity ratios, (4x-1)/14=(x+2)/6 or 14x+28=24x-6. 10x=34, x=3.4.

Answer:

p = 4.5

Step-by-step explanation:

0.5p - 3.45 = -1.2.

0.5p = -1.2 + 3.45

0.5p = 2.25

0.5p/0.5 = 2.25/0.5

p = 4.5

therefore p is equal to 4.5

The formula used to calculate the variance of a set of data is Variance = \(s^2\)=1n−1n∑i=1(xi−¯x\()^2\).(Option-A)

To calculate the variance, each data point is subtracted from the mean, squared, and then added together. This gives the sum of the squared deviations from the mean. This sum is then divided by the total number of data points to get the average squared deviation from the mean, which is the variance.

Variance is a measure of the spread or variability of a set of data. It is useful in statistical analysis to understand how much the data points differ from the mean, and to compare different sets of data. Lower variance values indicate that the data is more tightly clustered around the mean, while higher variance values indicate that the data is more spread out.(option-A)

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Answer:

6.14

Step-by-step explanation:

What you would do in this equation would be, 43 divided by 7, which would turn out to be 6.14. Hope this helps!

Answer:

31 feet of wood is needed

Answer:

Below.

Step-by-step explanation:

IQR is the same

Number of data points is the same.

Mode - can't tell

Range - different

First quartile - same

Median - different.

The length of the line segment AB is 5 units.

Unfortunately, you haven't provided any information about PQ such as its location or any other data to help solve the question.

Therefore, it's impossible to determine the length of PQ using the given options. However, here is an explanation of how to find the length of a line segment using the distance formula, which may help you in solving similar questions in the future.

The distance formula is used to find the distance between two points in a coordinate plane, such as the length of a line segment. The formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where d is the distance, (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

To use the distance formula, you first need to find the coordinates of the two points that make up the line segment. Then, substitute these coordinates into the formula and simplify to find the distance.

For example, let's say you have two points: A(1, 2) and B(4, 6), and you want to find the length of the line segment AB. Using the distance formula:

d = √((4 - 1)² + (6 - 2)²)
d = √(3² + 4²)
d = √(9 + 16)
d = √25
d = 5

Remember, the distance formula can be applied to any two points in a coordinate plane to find the distance between them.

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Answer:

AB is equal to AD because if you move from A to B, you would have to go 3 points toward the B, and then move one point toward B. Same for D. You must move 3 points toward D, then move one down.

Step-by-step explanation:

The range of lengths for the line segment PR is PR ∈ [19, 37].

In this problem we know the lengths of the first two line segments and that the third segment is related to the first two, not meaning necessarily that exists any form of collinearity, and therefore we have more than a answer. Then, we can concieve the line segment PR as a side of a triangle named PQR, and which can be modeled by the law of cosine:

PR = √(PQ² + QR² - 2 · PQ · QR · cos θ)          (1)

Where θ is the angle opposite to the line segment PR and θ ∈ [0, 180].

The range for the lengths of the line segment PR are:

θ = 0°

PR = √(PQ² + QR² - 2 · PQ · QR)

PR = √(9² + 28² - 2 · 9 · 28)

PR = 19

θ = 180°

PR = √(PQ² + QR² + 2 · PQ · QR)

PR = √(9² + 28² + 2 · 9 · 28)

PR = 37

The range of lengths for the line segment PR is PR ∈ [19, 37].

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Answer:

30 cm^3

Step-by-step explanation:

for find the volume we have to multiply the three numbers:

V = 5 x 2 x 3 = 30 cm^3

Line segments DE and BC are not parallel because they divide the opposite side of the triangle at different ratios.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

Given, Line segment AD is 4 units and line segment DB is 2 units.

∴ Line segment AD is (4/2) = 2 times greater.

On the other hand line segment, AE is 9 units and line segment EC is 5 units.

∴ Line segment AE is (9/5) = 1.8  times greater.

Line segments BC and DE should have been parallel if they had the same ratios.

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ANSWER :

Percentage = 50%

(if it odd and even then its 100%)

Answer:

100%

Step-by-step explanation:

There is a 100% chance rolling an odd or even since all the faces of this die are odd or even.

A division is a process of splitting a specific amount into equal parts. If a radio station requires DJ’s to play 3 commercials for every 15 songs they play. Then 5 is the unit rate of songs to commercials

A division is a process of splitting a specific amount into equal parts.

A radio station requires DJ’s to play 3 commercials for every 15 songs they play.We use division because it is a process of splitting a specific amount into equal parts.

By the given data formulate

15 divided 3

15/3

=5

We get the result 5.

Therefore the unit rate of songs to commercials is 5.

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