A health food store has launched a new pack of vitamins for children. The store records the number of packs ordered by a random sample of 100 online customers and the number of packs ordered by a random sample of 100 walk-in customers.
(See attached image)

Which of the following inferences can be drawn about the buying pattern of the online customers versus that of the walk-in customers?

(A) Online customers buy an average of five packs compared with walk-in customers, who buy an average of two packs.
(B) Online customers buy an average of six packs compared with walk-in customers, who buy an average of three packs.
(C) Online customers buy an average of five packs compared with walk-in customers, who buy an average of three packs.
(D) Online customers buy an average of six packs compared with walk-in customers, who buy an average of two packs.

The Cartesian coordinate system is also referred to as a plane because it represents a two-dimensional space.

In mathematics, a plane is a flat surface that extends infinitely in all directions. The Cartesian coordinate system consists of two perpendicular lines, known as the x-axis and y-axis, which intersect at a point called the origin. These axes divide the plane into four quadrants.

The term "plane" in the context of the Cartesian coordinate system originates from the concept of a geometric plane, which is a fundamental concept in Euclidean geometry. In Euclidean geometry, a plane is a flat, two-dimensional surface that extends infinitely in all directions.

The Cartesian coordinate system borrows this concept and applies it to represent points, lines, curves, and shapes in a two-dimensional space.

By using the Cartesian coordinate system, we can assign coordinates (x, y) to any point in the plane, where the x-coordinate represents the horizontal position and the y-coordinate represents the vertical position.

This system allows us to precisely locate and describe objects or phenomena within the two-dimensional space, making it a valuable tool in various fields such as mathematics, physics, engineering, and computer graphics.

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Answer:

the simplified expression is: 6y-7x

Step-by-step explanation:

-y+7y= 6y

           -7x

           = 6y-7x

Answer:

1

Step-by-step explanation:

A solution to a system of equations is the point where the 2 lines meet.

Answer:b

Step-by-step explanation:

Option B will be the correct option.

    Given in the question,

Expression for the volume of a cylinder = \(\pi r^{2}h\)

                                                                  = \(\pi (2)^2(4.5)\)

                                                                  = \(18\pi\)

                                                                  = 18(3.14)

                                                                  = 56.52

                                                                  ≈ 57 in³

      Therefore, Option B is the correct option.

  Isabelle calculated the volume of whole jar that is 63 in³ by using the same expression.

Hence, she chose Option C as the correct option.

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Answer:

2 days

Step-by-step explanation:

12 - 4 = 8

8/3 = 2.7

Answer:32

Step-by-step explanation:

if selling is 28 and she is 4 years greater than Drake then that is 28-4 which is 32 so Drake is 32 years old

Answer:

The answer is 32.

Step-by-step explanation:

If Celine is 28 and Drake is four years older than her, we do 28+4.

Answer:

(1, 3 )

Step-by-step explanation:

The solution is at the point of intersection of the 2 lines

The lines intersect at (1, 3 ) , then

solution is (1, 3 )

Answer:

6 1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

13/2 = 6 1/2 as a mixed number

Lets try one way to solve this system. First, we want to isolate one of the unkown, lets choose y, so we need to remove x from an equation. In order to remove x from an equation, thats what we are going to do :

Line 1:

(3x² - 5y²) * 2 = 22 * 2

6x² - 10y² = 44

We simply multiplied Line 1 by the number 2, this doesn't change anything on the nature of Line 1.

Line 2:

(2x² + 4y²)*3 = 22*3

6x² + 12y² = 66

We simply multiplied Line 2 by the number 3, this doesn't change anything on the nature of Line 2.

Solving your system of equations is exactly the same thing as solving this new system of equation :

6x² - 10y² = 44

6x² + 12y² = 66

It is exactly the same. But it is easier now, because we can remove x from the equation simply by subtracting line 2 from line 1 :

L1 - L2 :

(6x² - 10y²) - (6x² + 12y²) = 44 - 66

6x² - 10y² - 6x² - 12y² = - 22

- 22y² = - 22

y² = 1

y = + 1 or y = - 1

We know have the value of y, we just have to replace it in the equation to solve the entire system :)

3x² - 5y² = 22

since y² will always be equal to one, wether y = 1 or y = - 1, we can write :

3x² - 5 = 22

3x² = 22 + 5

3x² = 27

x² = 27/3

x² = 9

x = + 3 or x = - 3

So the solutions are the following couples in the form (x,y) :

S = { (3 ; 1) , (-3;1) , (3 ; - 1) , (-3 ; -1))

Good Luck

Answer:

See below

Step-by-step explanation:

Given the above information, we can make the first part to be;

First part = y + 10

Then,

Second part = y

y + 10 : y = 5 : 3

(y + 10) / y = (5) / (3)

Cross multiply,

3y + 30 = 5y

Collect like terms

5y - 3y = 30

2y = 30

y = 15

Therefore, substituting the value of y,

First part = y + 10

First part = 15 + 10

First part = 25

Second part = y

Second part = 15

Number = First part + Second part

Number = 25 + 15

Number = 40

The quadratic equation is  3x² - 27.

A quadratic equation is a second-order polynomial equation in a single variable x ax²+bx+c=0. with a ≠ 0 .

Given:

The roots are 3 and -3

We have

α= 3   and β=-3

So,

α+β = -b/a  and αβ = c/a

α+β = 0 =-b/a and  αβ= -9 = c/a

Comparing from above

a=1, b= 0 and c=-9

Also, the leading coefficient is 3.

Then the quadratic equation is,

= 3(ax² + bx + c)

= 3( x² +0x- 9)

Hence, the quadratic equation is 3x² - 27.

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Based on the given computer output in Exhibit 13-6, the degrees of freedom for the sum of squares explained by the regression (SSR) is 1, which is represented by the value 4 in the "Degrees of Freedom" column under "Regression" in the "Analysis of Variance" section.

In addition, it is important to note that there are three coefficients provided in the output: Constant, X, and X2. Each coefficient is associated with a standard error value that represents the variability of the estimate. The constant coefficient has a standard error of 4.425, the X coefficient has a standard error of 2.630, and the X2 coefficient has a standard error of 12.560.

Overall, the provided output suggests that a regression model has been fitted to the data with the equation: Y = 12.924 - 3.682X + 45.216X2, where Y represents the response variable and X represents the predictor variable. The F-statistic value of 485.3 with 4 and 11 degrees of freedom in the "Analysis of Variance" section suggests that the regression model is significant and can be used to make predictions.
Based on Exhibit 13-6, the answer to your question regarding the degrees of freedom for the sum of squares explained by the regression (SSR) can be found in the Analysis of Variance

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Answer: the Baker used 2/3 cups of flour for one batch.

Step-by-step explanation:

The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,

To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.

1) So, perimeter = 3:1

The ratio of areas between two similar polygons is equal to the square of the scale factor.

Since the scale factor is 3:1, the ratio of their areas is:

(Ratio of areas) = (Scale factor)² = 9/1 = 9:1

Similarly,

2) Perimeter = 7:4

Area = 49/16

Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

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The quantity 2.67 × 10³ m/s has three significant figures because the digits 2, 6, and 7 are all significant, and the exponent 3, which represents the power of 10, is not considered a significant figure.

Scientists use significant figures to indicate the level of accuracy and precision of a measurement. The significant figures are the reliable digits that are known with certainty, plus one uncertain digit that has been estimated or measured with some degree of uncertainty. In determining the significant figures of a number, the following rules are applied: All non-zero digits are significant.

For example, the number 345 has three significant figures. Zeroes that are in between two significant figures are significant. For example, the number 5004 has four significant figures. Zeroes that are at the beginning of a number are not significant. For example, the number 0.0034 has two significant figures. Zeroes that are at the end of a number and to the right of a decimal point are significant. For example, the number 10.00 has four significant figures.

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The order of processes that support the central dogma are:1.DNA replication: the process by which DNA makes a copy of itself.

2.Transcription: the process by which RNA is synthesized from a DNA template.

3.Translation: the process by which proteins are synthesized from RNA templates.

The central dogma of molecular biology describes the flow of genetic information within a biological system. The method by which DNA instructions are translated into useful products is known as the "Central Dogma." Francis Crick, who discovered the structure of DNA, first put up the idea in 1958.

The order of processes that support the central dogma are:

1.DNA replication: the process by which DNA makes a copy of itself.

2.Transcription: the process by which RNA is synthesized from a DNA template.

3.Translation: the process by which proteins are synthesized from RNA templates.

In summary, the central dogma can be described as follows: DNA is replicated to make more DNA, DNA is transcribed into RNA, and RNA is translated into proteins.

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Answer:

B) no solution

Step-by-step explanation:

8(x-3)+14=2(4x+5)

8x-24+14=8x+10

8x-10=8x+10

8x=8x+20

Answer:

c) 100

Step-by-step explanation:

The linear model, based on the residual plot shown and the data from the 12 students is appropriate because D. Yes, about half of the residuals are positive and half are negative.

When analyzing a residual plot, an appropriate linear model should display the following characteristics:

Looking at the residual plot for the hours spent by students doing homework and their performance on exams, we can see that the residuals are scattered randomly, there is no apparent pattern and the number of residuals above and below the line are roughly equal.

The linear model is therefore best.

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Answer:

2.4 feet long

Step-by-step explanation:

12/5, 12 feet long divided by 5 feet

Answer:

2.4

Step-by-step explanation:

You would divide the 12 by 5 because you need 5 pieces that are equal

Answer:

Your sequence of numbers is:

1, 2, 3, 5, 8, 13, 21, 34, 55, 89    

Step-by-step explanation:

I hope this helps you :)

-KeairaDickson

The value of n is found as the 6 for the given exponent equation.

For the stated equation.

36 Superscript 12 minus n Baseline = 6 Superscript 2 n

This can be written as;

36¹²⁻ⁿ = 6²ⁿ

Using the adding exponent rule.

36¹².36⁻ⁿ = 6²ⁿ

Simplifying.

(6)²ˣ¹².(6)⁻ⁿˣ² = 6²ⁿ

(6)²⁴.(6)⁻²ⁿ = 6²ⁿ

Thus,

As, the base of number is equal , equating the powers.

24 - 2n = 2n

4n = 24

n = 6

Thus, the value of n is found as the 6 for the given exponent equation.

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The correct question is-

If 36 Superscript 12 minus n Baseline = 6 Superscript 2 n, what is the value of n?

Answer:B

Step-by-step explanation:

edge 2023

Answer:

0.3, 1/3, 37.5%, 40%, 3/5

Step-by-step explanation:

Given the numbers 37.5%, 1/3, 0.3, 40%, 3/5, before we can order the numbers from the least to greatest, we need to first express al the values in percentage.

For 1/3;

= 1/3 * 100

=  100/3

= 33.3%

For 0.3:

= 0.3 * 100

= 3/10*100

= 30%

for 3/5;

= 3/5 * 100

= 300/5

= 60%

Hence the numbers in percentage are . 37.5%, 33.3%, 30%, 40%, 60%

The values from the least to the greatest in terms of percentage is 30%, 33.3%, 37.5%, 40%, 60%

In term of the given values from least to greatest is;

0.3, 1/3, 37.5%, 40%, 3/5

Step-by-step explanation:

The appropriate matching of the expression will be:

5.2 × 10 = 52

5.2 × 10² = 520

5.2 × 10³ = 5200

5.2 × 10^-1 = 0.52

It should be noted that the information illustrated is simply about the power on the numbers. This was illustrated on the information.

In this case, it should be noted that the thing to f is to multiply the numbers or count the number of zeros and illustrate on the numbers.

Therefore, the appropriate matching of the expression will be:

5.2 × 10 = 52

5.2 × 10² = 520

5.2 × 10³ = 5200

5.2 × 10^-¹ = 0.52

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Answer:

C

Step-by-step explanation:

Edge2021

Answer:

Its C, the third graph !

Step-by-step explanation:

Got it right on edge :)

The sum of all two-digit numbers such that the tens digit is one less than the units digit is 495.

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.

Let's represent the tens digit "x" and the units digit "y".

According to the question, x = y - 1.

The two-digit number can be written as 10x + y. Substituting x = y - 1, we get:

10x + y = 10(y - 1) + y

10x + y = 11y - 10

To find all the two-digit numbers where the tens digit is one less than the units digit, we need to find all values of y that make the expression 10x + y = 11y - 10 a two-digit number. This means that 10x + y must be greater than or equal to 10 and less than or equal to 99.

Simplifying the equation, we get:

10x - 10 = 10y - y

10x + 9 = 11y

y = (10x + 9)/11

Since y is a digit, x must take on integer values that make y an integer between 0 and 9. Solving for x, we get:

x = (11y - 9)/10

Plugging in the possible integer values for y between 0 and 9, we get the following values for x:

x = 0, y = 1

x = 1, y = 2

x = 2, y = 3

x = 3, y = 4

x = 4, y = 5

x = 5, y = 6

x = 6, y = 7

x = 7, y = 8

x = 8, y = 9

For each pair of x and y values, we can find the corresponding two-digit number by multiplying x by 10 and adding y. The sum of all these two-digit numbers is:

10(0) + 1 + 10(1) + 2 + 10(2) + 3 + 10(3) + 4 + 10(4) + 5 + 10(5) + 6 + 10(6) + 7 + 10(7) + 8 + 10(8) + 9

Simplifying the expression, we get:

10(0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9) + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9

= 10(45) + 45

= 495

Therefore, the sum of all two-digit numbers such that the tens digit is one less than the units digit is 495.

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