which of the following, when included, distorts the effectiveness of charting data points? a) too many series b) too many data points c) too much variance in the values of the data d) aggregates

Answer:

x ≤ -3 or x ≥ 3

Step-by-step explanation:

Answer:

To solve this inequality, you can start by isolating the absolute value term on one side of the inequality. To do this, you can subtract 9x from both sides, which gives you:

|9x| - 9x ≥ 27 - 9x

|9x| - 9x ≥ -9x

Next, you can apply the properties of absolute values to simplify the expression. The absolute value of a number is always positive, so the absolute value of any expression will be equal to the expression itself if it is positive, and equal to the negative of the expression if it is negative.

Since the inequality is "greater than or equal to," you need to consider both cases.

If 9x is positive:

9x - 9x ≥ -9x

0 ≥ -9x

x ≤ 0

If 9x is negative:

-9x - 9x ≥ -9x

-18x ≥ -9x

-9x ≥ 0

x ≤ 0

In both cases, the solution is x ≤ 0. This means that any value of x that is less than or equal to 0 will satisfy the inequality.

To write this solution in interval notation, you can use the notation [0,∞) to represent all values of x that are greater than or equal to 0. Alternatively, you can use the notation (-∞,0] to represent all values of x that are less than or equal to 0.

Step-by-step explanation:

The probability that the ladybug will be at position 1 at time t+1 is ((1/2)*(12/50) + (1/2)*(16/50)) = 14/50 = 0.28.

Information on possibility of occurrence is provided by probability. For instance, meteorologists can forecast the likelihood of rain by looking at weather patterns. Probability theory is utilized in epidemiology to comprehend how exposures and the risk of health impacts are related.

The probability is computed by dividing the total number of outcomes by the number of possible ways the event could occur. Probability and odds are two separate ideas. Odds are calculated by dividing the likelihood that something will occur by the likelihood that it won't.

To know more probability visit:

https://brainly.com/question/11234923

#SPJ4

If all the letters have the same frequency then they have may or may not be  equal codes.

What is Huffman encoding?

A lossless data compression algorithm is Huffman coding. Input characters are given variable-length codes, the lengths of which are determined by the frequency of the matching characters.

The variable-length codes (bit sequences) assigned to input characters are Prefix Codes, which indicates that no other character will have a code that is the prefix of the code assigned to that character. This is how Huffman Coding ensures that the produced bitstream cannot contain any ambiguities during decoding.

Let's use a counter example to better grasp prefix codes. Assume that the four characters a, b, c, and d have the variable length codes 00, 01, 0 and 1, respectively. Because the code assigned to c is the prefix of the codes assigned to a and b, this coding causes uncertainty. If the bit stream being compressed is 0001, the decompressed output might be "cccd," "ccb," "acd," or "ab."

In huffman coding, if two nodes have the same frequency, they are considered to be identical for compression reasons, therefore you can select either one and gain an equal amount of compression.

To know more about huffman coding here:

https://brainly.com/question/30008116

#SPJ4

Answer:

solve for N cause that is the only variable

Step-by-step explanation:

The credit card holder paid an additional D. $559.56 over the 12 months versus paying the balance in full before the end of the first month.

The additional payment made by the credit card holder results from paying installments instead of clearing the balance in the first month.

Installment plans attract finance charges at an annual percentage rate (APR), which increases the total amount paid.

Therefore, the additional payment is the difference between the total installment payments and the credit card balance at the beginning of the first month.

N (# of periods) = 12 months

I/Y (Interest per year) = 11.99%

PV (Present Value) = $6,299.59

PMT (Periodic Payment) = $-350

Results:

FV = $3,009.15

Sum of all periodic payments = $3,850 ($350 x 11)

Total Interest = $559.57

The total amount paid over the 12 months = $6,859.15 ($3,009.15 + $3,850)

The total amount paid in full in the first month = $6,299.59

Additional payment made via installments = $559.56 ($6,859.15 - $6,299.59)

Thus, for making installment payments, the credit card holder incurred the additional cost of Option D.

Learn more about the cost of installments at https://brainly.com/question/23849949

#SPJ1

Answer:

Given, x²+y²+4X −2y= −1

⇒x²+4x+y²=−1

⇒(x²+4x+4)+(y² −2y+1) =−1+4+1

⇒(x+2)²+(y−1) = 2²

Clearly, = (−2,1)

Radius = 2

The radius of the circle is 2. Therefore, A) is the answer

The standard form of the equation of a circle is

(x-a)² + (y-b)² = r²

where (a, b) is the center and r is the radius

Given the equation of the circle as x² + y² + 4x - 2y = -1

Factorize the equation using the completing square:

x² + y² + 4x - 2y = -1

x² + 4x + (2)²  + y² - 2y + (-1)² = -1 + (2)² + (-1)²

(x+2)² + (y-1)² = -1 + 4 + 1

(x+2)² + (y-1)² = 4

(x+2)² + (y-1)² = 2²

Comparing this equation with (x-a)² + (y-b)² = r²:

r = 2

Thus, the radius of the circle is 2

Learn more about equation of a circle on:

brainly.com/question/29394840

#SPJ1

Answer:

Correct answer is ([7],[5])

Step-by-step explanation:

For the vertex form of the parabola, y = a(x – h)2 + k, the coordinates (h, k) of the vertex are:

(h, k) = (-b/2a, -D/4a)

where,

a is the coefficient of x2,

b is the coefficient of x,

D = b2 – 4ac is the discriminant of the standard form y = ax2 + bx + c.

Answer:

I'm pretty sure its 3500

Answer:

3,500 meters above the ground.

Step-by-step explanation:

The working is in the picture I attached to this response.

⭐ if this response helped you, please mark it the "brainliest"!⭐

Yes, it is possible for a line to be tangent to a circle at a point.

If a line is tangent to a circle at a point, it means that the line touches the circle at that point but does not intersect the circle at any other point. The line is perpendicular to the radius of the circle at the point of tangency.

In this case, the line QR is tangent to circle P at point Q. This means that the line QR touches the circle P at point Q, but does not intersect the circle P at any other point. The line QR is also perpendicular to the radius of circle P at point Q.

In below diagram QR is tangent to circle P at point Q. The line QR is perpendicular to the radius of circle P at point Q, indicated by the right angle at Q.

To learn more about radius, visit:

brainly.com/question/11137975

#SPJ4

Answer: The cost of a ticket for an adult is $12 while for children it is $10.

Step-by-step explanation:

Let's assume that cost for adults is A while for children it is C

Now,

2 adults and 4 children spend $64.

2A + 4C = 64

1 adult and 3 children spend $42.

A + 3C = 42

Multiply by 2

2A + 6C = 84

By subtracting equations

6C - 4C = 84 - 64

2C = 20

C = 10

A = 42 - 3(10)

A = 12

Hence "The cost of a ticket for an adult is $12 while for children it is $10".

Answer:Antonio drove 24 miles west

Step-by-step explanation: 50-26=24

By evaluating the function for 2f(a), we get 6a² + 6a -4.

We can evaluate the function, f(x) =3x² +3x -2 for 2 f(a) by using the following steps:

Firstly, we have to find f(a).

In order to find f(a) we need to substitute 'x' with 'a' in the given function.

So the f(a) would be equal to :

f(a) = 3a² +3a-2

Now in the second step in order to find 2f(a) we need to multiply the whole function of f(a) with 2.

So 2f(a) would be equals to:

2f(a) = 2(3a² + 3a -2)

2f(a) = 6a² +6a -4

To know more about function, click here :
https://brainly.com/question/11624077
#SPJ4

No, the injection and surjection do not have to come from the same function for there to exist a bijection between the two sets.

A bijection is a mathematical function that establishes a one-to-one correspondence between two sets, known as the domain and codomain. This means that for every element in the domain, there is exactly one element in the codomain, and vice versa. A bijection is both an injection and a surjection, meaning that it is both injective and surjective. Injective means that each element in the domain is mapped to a unique element in the codomain, while surjective means that every element in the codomain is mapped to at least one element in the domain. Therefore, a bijection establishes a perfect match between the two sets, where each element of one set is paired up with a unique element of the other set.

Learn more about bijection here

https://brainly.com/question/16407138

#SPJ4

The equation of the line in slope-intercept form is y = 0.5x + 1

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

Points = (0, 1) and (-4, -1)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

m = slope

This means that

c = 1

So, we have the following representation

y = mx + 1

At (-4, -1), we have

-1 = -4m + 1

This gives

-4m = -2

Divide by -4

m = 0.5

So, we have

y = 0.5x + 1

Hence, the equation  is y = 0.5x + 1

Read more about linear equation at

https://brainly.com/question/2030026

#SPJ1

The true statements regarding the construction are statement 2) and statement 5)

"Construction" in Geometry means to draw shapes, angles or lines accurately. These constructions use only compass, straightedge (i.e. ruler) and a pencil.

Given that, A design began from the construction of a regular hexagon.

The true statements made on the construction is;

2) When JKLO is reflected across segment OJ, JKLO is taken to JIHO. So, quadrilateral JKLO is congruent to quadrilateral JIHO.

5) When JKLO is reflected across segment OL, JKLO is taken to HGLO. So, quadrilateral JKLO is congruent to quadrilateral HGLO.

Hence, The true statements regarding the construction are statement 2) and statement 5)

For more references on constructions, click;

https://brainly.com/question/8606089

#SPJ1

Answer:

1. using the formula (aX2/h)-22

17

Step-by-step explanation:

Take area multiply by 2

234x2=468

Divide answer by height which is 12 you get 39

39subtract 22 you get your answer as 17

We can conclude that there is a statistically significant correlation between the two variables, a and b. The correlation coefficient is .10, which indicates a weak positive relationship.

A correlation coefficient of .10 indicates that there is a weak positive relationship between the two variables, a and b. A p-value of .01 indicates that the correlation between the two variables is statistically significant, meaning that it is unlikely to be due to chance. This suggests that there is a real relationship between the two variables, even though it is weak.

To calculate the correlation coefficient, you can use the formula  where x and y are the two variables in question. In this case, the correlation coefficient is .10. This can be determined by plugging in the values for x and y and doing the necessary calculations.

Learn more about correlation here

https://brainly.com/question/28898177

#SPJ4

4x - 7y + 28 = 0,5y - 7x + 9 = 0 is the system of equation that has no solution.

A group of equations comprising one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations cross, are the solutions of systems of equations.

Dependent, Independent and inconsistent are the three types of system of equation.

If we solve this system of equation we will get complex roots that means it has no solution.

To learn more about system of equation visit the link:

https://brainly.com/question/25869125

#SPJ4

The value of a for which v is a linear combination is given as follows:

a = -8.

How to obtain the value of a?

A vector generated by adding two or more vectors (with various orientations) and multiplying by scalar values is known as a linear combination of two or more vectors.

v will be a linear combination of the set H if it can be obtained as the solution of a system of equations from the set H.

From the vectors, the system is defined as follows:

-x = -1.

2x - y = 4.

5x + 4y - 3z = -6.

-x + 3y - z = a.

From the first equation, the value of x is obtained as follows:

-x = -1

x = 1.

From the second equation, the value of y is obtained as follows:

2x - y = 4

2 - y = 4

y = 2 - 4

y = -2.

From the third equation, the value of z is obtained as follows:

5x + 4y - 3z = -6.

5 - 8 - 3z = -6

3z = 3

z = 1.

Then the value of a needed for the linear combination is of:

a = -x + 3y - z

a = -1 - 6 - 1

a = -8.

To learn more about linear combination visit: brainly.com/question/29770393

#SPJ4

The system of equations representing the charges for plans A and B include the following:

y = 0.2x - 50

y = 0.3x - 105

A graph of the system of equations for plans A and B are shown in the image attached below.

In order to write the system of equations representing the charges, we would have to calculate the slope of the line based on the data points described above for each plans.

Mathematically, the slope of a straight line can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (66 - 50)/(580 - 500)

Slope, m = 16/80

Slope, m = 0.2

At point (500, 50), a linear equation for plan A can be calculated by using the point-slope form:

y - y₁ = m(x - x₁)

Where:

Substituting the given points into the point-slope form formula, we have;

y - 50 = 0.2(x - 500)

y - 50 = 0.2x - 100

y = 0.2x - 100 + 50

y = 0.2x - 50.

For plan B, the slope is as follows;

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (69 - 45)/(580 - 500)

Slope, m = 24/80

Slope, m = 0.3

At point (500, 45), a linear equation for plan B can be calculated by using the point-slope form:

y - y₁ = m(x - x₁)

y - 45 = 0.3(x - 500)

y - 45 = 0.3x - 150

y = 0.3x - 150 + 45

y = 0.3x - 105.

Read more on slope here: brainly.com/question/1884491

#SPJ1

Complete Question:

Three cell phone plans, A, B, and C, each have a different flat monthly rate for the first 500 text messages and a different constant rate for every additional message over 500. These tables show the monthly charges for plans A and B when different numbers of messages are sent. Plan A Cell Phone Charges

Phone plans A and B each have a different flat monthly rate for the first 500 text messages and a different constant rate for every additional message over 500.

Plan A charges $50 monthly for 500 text messages and $66 monthly for 580 text messages.

Plan B charges $45 monthly for 500 text messages and $69 monthly for 580 text messages.

Letting x represent the number of messages over 500, and y the total monthly charges, write equations representing the charges for plans A and B. Then graph the equations for plans A and B on the same coordinate grid.

Using  Pythagoras triple, the side lengths 6, 9 and 12 are not the sides of a triangle

Pythagorean triples are a2+b2 = c2 where a, b and c are the three positive integers. These triples are represented as (a,b,c). Here, a is the perpendicular, b is the base and c is the hypotenuse of the right-angled triangle.

In this problem, we are going to determine is 6, 9 and 12 are Pythagoras triple.

Taking the largest number and assuming it's the hypothenuse of the triangle;

12² = 6² + 9²

144 = 117

144≠117

The side lengths 6, 9 and 12 can't form a right angle triangle.

Learn more on Pythagoras triple here;

https://brainly.com/question/15190643

#SPJ1

Answer:

y+3 = -7/3(x-3)

y = -7/3x + 4

The completed statement obtained using the proportional relationship between the recipes and the number of bags of snack mix made are presented as follows;'

A proportional relationship is one in which the output variable is a constant multiple of the input variable.

The possible recipe to make 6 bags of snacks obtained froma similar question is presented as follows;

3 cups of granola

1 cup of raisins

1.5 cup of almonds

0.5 cup of cranberries

0.75 cup of chocolate chips

The evaluation of the possible statements in the question that requires completion using proportional relationships of the recipe, are presented as follows;

1. To make 18 bags of snack mix, Sherry needs ___ cups of almonds

18 = 3 × 6

Therefore, the amount ingredients required to make 18 bags of the snack mix is 3 times the amount of ingredients in the recipe, which indicates;

The number of cups of almonds Sherry needs = 3 × 1.5 = 4.5

2. Sherry needs 6 cups of granola to make ___ bags of the snacks

The number of granola required for 6 bags = 3 cups

6 = 2 × 3

The number of bags of the snack mix 6 cups of granola can make is twice the number made by 3 cups, of granola or 2 × 6 = 12 bags of snack mix.

3. If Sherry uses 1 cup of cranberries, she will need to use ___ cups of resins

The number of cups of cranberries in the recipe = 0.5 cups

Number of cups of resins in the recipe = 1 cup of resin

Therefore, 1 cup of resin is required for 0.5 cups of cranberries

2 × 1 = 2 cups of resins will be required for 2 × 0.5 = 1 cup of cranberries

4. The recipe will make ___ bags of snack mix if Sherry  uses only 1 cup of granola

3 cups of granola are required for 6 bags of snack mix

Therefore; 3/3 = 1 cup of granola will be required for 6/3 = 2 bags of the snack mix

Learn more on proportional relationships here:

https://brainly.com/question/2463343

#SPJ1

Answer:

The last one on the right

Step-by-step explanation:

The others are 2 equations in x and y, while the last is one equation in x  only and another in y only

The solution is Option D.

The system of equations 3 = y + 1 and x = -6 are equations is one variable

What is Linear Equation in 2 variables?

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

Let the system of equations be

y = 3x - 1   be equation (1)

y = 3x + 1   be equation (2)

Now , the equations are linear equations in 2 variables

b)

Let the system of equations be

-2x + y = 2   be equation (1)

-4x + 2y = 4   be equation (2)

Now , the equations are linear equations in 2 variables

c)

Let the system of equations be

y - 1 = 2 ( x + 4 )   be equation (1)

y + 3 = -5 ( x + 1 )   be equation (2)

Now , the equations are linear equations in 2 variables

d)

Let the system of equations be

3 = y + 1   be equation (1)

y = 2

x = -6   be equation (2)

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution

So , the equation is linear equation is one variable

Hence , the equations y = 2 and x = -6 are equations in one variable

To learn more about linear equations in two variables click :

https://brainly.com/question/11897796

#SPJ2

We might write [tex]y=x+\frac{1}{5} x[/tex] if the entire amount of money is y and the first week's deposit is x.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

When are given an x and y equation that is [tex]y=x+\frac{1}{5} x[/tex] , and the further discussion can be defined as follows:

We must now imagine a condition that can be represented by the above equation.

Let's calculate the place money in piggy bank over two weeks in a row.

In the first week, I deposit a [tex]\frac{1}{5}[/tex]  of a particular amount of money, and the next week, I deposit a quarter of such previous week's investment.

We must now determine the entire amount of money that I have deposited.

We might write [tex]y=x+\frac{1}{5} x[/tex] if the entire amount of money is y and the first week's deposit is x.

Learn more about equation link given below

https://brainly.com/question/22688504

#SPJ1

The perimeter of the triangle ΔABC will be 21 units.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The perimeter of the triangle is determined by adding together all of its sides.

If d, e, and f are midpoints of the sides of ABC. A = 7, C = 8, and B = 6. Then the perimeter of the triangle is given as,

Perimeter = A + B + C

Perimeter = 7 + 6 + 8

Perimeter = 21

The perimeter of the triangle ΔABC will be 21 units.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ1