Gena and her friends each estimated the quotient of –137. 56 divided by –6. 12 using compatible numbers. Which shows the best estimate using compatible numbers?.

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

Know more about matrix here:

brainly.com/question/24079385

#SPJ4

Answer:

p=7

Step-by-step explanation:

use inverse operation

add 6 to both sides

you get

-3p=-21

divide -3 from both sides

p=7

Answer:

p=7

Step-by-step explanation:

Answer:

patterns

Step-by-step explanation:

inductive reasoning is using past experiences to deduce future outcomes

The difference between the medians is calculated as 0.75 times the interquartile range (IQR).

To compute this, we can refer to the box plot provided and obtain the necessary values for the medians and IQRs of the two groups being compared.

For Jolie, the median amount is 28 and the IQR is 16, while for Francesca, the median amount is 16 and the IQR is also 16.

Subtracting the two median values gives a difference of 12.

We can then express this as:

Difference = 12 * IQR/16

Simplifying this gives a difference in medians of:

Difference = 0.75IQR.

Therefore, we can conclude that the difference in median amounts is 0.75IQR.

Read more about box plot at

https://brainly.com/question/28023366

#SPJ1

Answer:98%

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

The volume of a shape is w*b*h

Although a bigger random sample can aid in increasing the precision and decreasing the variability of a national opinion poll, it cannot ensure a decrease in bias, which is dependent on the efficacy of the sampling technique and the sample's representativeness.

A nationwide opinion poll's results are often less variable as the random sample size is increased since the bigger sample size more accurately represents the people being sampled.

It does not necessarily lessen bias, which is the term for systemic mistakes in the sampling process or polling methodology that may endure even with a larger sample size.

The accuracy of the poll's results can be improved by reducing random mistakes like sampling and measurement errors with a bigger sample size.

The standard error of the mean, a measurement of the variability of the sample mean from sample to sample, is often less the bigger the sample size.

A national opinion poll's measure of interest, the population mean, can be more accurately estimated with a smaller standard error.

If the sample is not completely random or representative of the population being investigated, bias may still exist in a bigger sample.

For instance, the findings may be biassed if the pollsters oversample a certain demographic group or geographic area.

Non-response bias can also happen if a certain group of people is less likely than others to reply to the survey.

As a result, while a bigger random sample can aid in increasing the precision and decreasing the variability of a national opinion poll, it cannot ensure a decrease in bias, which is dependent on the efficacy of the sampling technique and the sample's representativeness.

For such more questions on Variability

https://brainly.com/question/12872866

#SPJ4

Answer: 15x + 150 = 950

Step-by-step explanation:

Let x equal the number of weeks.

He saves $15 per week, so 15 times the number of weeks, 15x.

He has already saved $150, so the money saved up over the weeks gets added to 150, 15x + 150.

all of the money he saves up has to equal 950, so 15x + 150 = 950.

I hope this helps!

Answer:

15x + 150 = 950

Step-by-step explanation:

I did dont paper I dont knwo how to upload it

#Everything4Zalo

A(n) MODEL is a mathematical representation of an object created by a special software.

In computer science, a model is a mathematical abstraction of a system, process, or phenomenon that is intended to be simulated or executed on a computer system. A model is used to represent a system or process as a set of mathematical equations or logical rules in order to simulate or analyze it with a computer program.

                                                  It can be a physical object, such as a car or building, or an abstract concept, such as an economic system or a social network. In general, a model can be a simple or complex representation of a real-world object or process, and it can be used for a variety of purposes, such as predicting future outcomes, testing hypotheses, or designing new systems.

Learn more about computer program

brainly.com/question/14588541

#SPJ11

Answer:

y-2=3/8(x-5)

Step-by-step explanation:

Answer:

52º

Step-by-step explanation:

Complementary angles are a set of angles that add up to 90º. Knowing this, we can find the value of x by setting the sum of these two angles equal to 90. For example:

3x + 25 + 5x - 7 = 90

8x + 18 = 90

8x = 72

x = 9

Now that we know our x value, we can find the measure of angle A. Simply plug in the value of x to the measurement of angle A, which is 3x + 25.

3(9) + 25 = 52º

Answer: g(f(4))=9

Step-by-step explanation:

To find g(f(4)), you first find f(4). Then, you plug it into g(x).

f(4)=4-7            [subtract]

f(4)=-3

Now, we know f(4) into g(x).

g(f(4))=(-3)²      [exponent]

g(f(4))=9

Now, we know that g(f(4))=9.

When plotting a point on a centimeter square grid, it is essential to know the location of the x and y axes. The x-axis is the horizontal axis, while the y-axis is the vertical axis. Both axes meet at the origin point (0, 0). A point on the grid can be identified by its distance from the origin in the horizontal (x) and vertical (y) directions.

Each square on the grid represents one unit. When locating a point on the grid, it is essential to count the squares from the origin point along the x-axis and y-axis. The point is then identified by its coordinates (x, y). For instance, if a point is three units to the right of the origin point and two units up from the origin point, it would be located at (3, 2).

Similarly, points a and b on a centimeter square grid can be plotted by counting the number of units from the origin along the x and y axes. The point a can be located by counting x units to the right of the origin point and y units up from the origin point.

Similarly, the point b can be located by counting x units to the right of the origin and y units up from the origin point. The points a and b can be identified by their coordinates (xa, ya) and (xb, yb), respectively.

In conclusion, when plotting points on a centimeter square grid, it is essential to locate the x and y axes and count the number of squares from the origin point in the horizontal and vertical directions. The points can then be identified by their coordinates (x, y).

For more such questions on plotting, click on:

https://brainly.com/question/30143735

#SPJ8

Answer: $3.75

Step-by-step explanation:

Answer:

The cost of 6 cans of soup is 3.75

Step-by-step explanation:

12 = 7.50

1 can = x

12x = 7.50

We need to find the cost of 1 can. So we divide 7.50 by 12.

x = 0.625

Then multiply by 6.

0.625 x 6 = 3.75

As a result the cost of 6 cans of sup is $3.75

Answer:

the change was 24F

Step-by-step explanation:

The standard form of the following equation is x-4y=8.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

The given equation is

y+2=1/4x

According to given question we have

We know that the standard form of the equation of a line is

Ax + By = C

where ,A is a positive integer and B, C are integers.

Compare the given equation

Rearrange the  given equation as

y+2=1/4x

Multiply 4 both sides we get,

4y+8=x

Compare the given equation

x-4y=8

Therefore, the standard form of the following equation is x-4y=8.

Learn more details about equation here:

https://brainly.com/question/10413253

#SPJ1

The formula for the exponential function is V = 5000 (2)^(−t/4).

What is an exponential function?

A function whose value is a constant raised to the power of an argument is called an exponential function.

Here, we have

The value of an item initially worth $5000 loses half its value every 5 years.

V = V₀eˣⁿ

At t = 0,V = V₀

So, V = 5000eˣⁿ

At t = 4,V = V₀/2 = 2500

Substituting these into our equation, we have

5000e^(4k) = 2500

e^(4k) = 12

4k = −ln2

k = −ln2/4

Finally, we have our equation

V = 5000e^(−tln2/4 )

V = 5000(e^ln2)^(−t/4)

V = 5000 (2)^(−t/4)

Hence, the formula for the exponential function is V = 5000 (2)^(−t/4).

To learn more about the  exponential function from the given link

https://brainly.com/question/2456547

#SPJ4

Fractions equivalent to 1/2 are 2/4, 3/6, 4/8, 5/10, 6/12, 7/14, 8/16, 9/18/ 10/20, 12/24, 14/28.

Just a couple of them above. Hope all of this helps you out

The fractions that are equivalent to 1/2 are:

2/4, 3/6, 4/8, 5/10, 6/12, 7/14, 8/16, 9/18, 10/20.

The fractions that are equivalent to 1/2 are:

1/2 (itself)

2/4

3/6

4/8

5/10

6/12

7/14

8/16

9/18

10/20

and so on.

These fractions are equivalent to 1/2 because they represent the same value when simplified.

When the numerator and denominator are divided by their greatest common divisor, they result in the simplified fraction of 1/2.

For example, if we simplify 2/4, we divide both the numerator and denominator by 2, resulting in 1/2

Similarly, if we simplify 6/12, we divide both the numerator and denominator by 6, again resulting in 1/2. This pattern holds for all the listed fractions.

Learn more about Equivalent Fraction here:

https://brainly.com/question/29297237

#SPJ6

Answer: a

tep-by-step explanSation:

b

Answer:

park to market to field is 16

home to field is: 9

home to park to market is: 13

school to market:7

Answer:

give me brainliest

park to market to field is 16

home to field is: 9

home to park to market is: 13

school to market:7

Step-by-step explanation:

w is a place holder for the cat's weight. It's some positive real number.

To describe all weights less than 8, we simply write w < 8.

For example, let's say the cat weighs 5 pounds. This would mean w = 5. In other words, 5 replaces w and we go from w < 8 to 5 < 8. This is a true inequality because 5 is smaller than 8.

Something like 10 < 8 is false because 10 is not less than 8. So w = 10 is not a solution to w < 8.

Simulation Xpress is a product of SolidWorks software. It is a finite element analysis tool used to conduct structural and thermal analysis. A Simulation Xpress study can be performed on any part or assembly in SolidWorks.

The fixtures in a Simulation Xpress study are used to simulate the constraint in a real-world environment. Fixtures help define how the model is attached or held in place. It can be a pin, bolt, or any other component that is used to hold the model in place. The right fixture type should be selected to simulate the true constraint.

In a Simulation Xpress study, model faces are selected to define fixtures.

Therefore, the correct answer to this question is option A. "Faces" are selected to define fixtures in a Simulation Xpress study.

A face is a planar surface that has edges, vertices, and surface areas. To select faces, click on the "face" button in the fixture section of the study. Then click on the faces that you want to constrain or fix in place. The selected face will be displayed with a red color in the model. A fixture can be used to fix a face in one or more directions. You can also change the fixture type by right-clicking on the fixture and selecting "edit."

To know more about directions visit:

https://brainly.com/question/32262214

#SPJ11

The raster data model is commonly used to represent field features, but it is not suitable for representing point, line, and polygon features.

The raster data model is a grid-based representation where each cell or pixel contains a value representing a specific attribute or characteristic. It is well-suited for representing continuous spatial phenomena such as elevation, temperature, or vegetation density. Raster data is organized into a regular grid structure, with each cell having a consistent size and shape.

However, the raster data model has limitations when it comes to representing discrete features like points, lines, and polygons. Since raster data is based on a grid, it cannot precisely represent the exact shape and location of these features. Instead, they are approximated by the cells that cover their extent.

Learn more about polygons here:

https://brainly.com/question/23846997

#SPJ11

The bisection algorithm, the root of the equation -x + sin(x) cos(x) = 0 is approximately 0.841523 ± 0.03125.

Given equation:

-x + sin(x) cos(x) = 0

Using the bisection algorithm,

Let the function be f(x) = -x + sin(x) cos(x)

An interval [a, b] = [0, 1]

Therefore, the value of the function at a :

f(a) = -0 + sin(0) cos(0)

= 0 and at b is

f(b) = -1 + sin(1) cos(1)

≈ -0.17

The root of the function is between the interval [a, b].

The root of the equation is the point x such that f(x) = 0.

Estimating the error:

After the nth iteration, the error is given by:

|E_n| ≤ |b_n - a_n| / 2^(n+1), where b_n and a_n are the endpoints of the interval at the nth iteration.

Now, using the bisection algorithm, the two iterations using the starting interval a = 0, b = 1 are performed.

= |E_2| ≤ |b_2 - a_2| / 2^(2+1)

= |0.25| / 2^3

= 0.03125

The bisection method is relatively slow but robust and can solve a wide range of nonlinear equations. Therefore, using the bisection algorithm, the root of the equation -x + sin(x) cos(x) = 0 is approximately 0.841523 ± 0.03125.

To know more about the bisection algorithm, visit:

brainly.com/question/30037399

#SPJ11

The volume of the rectangular prism is 18,000,000 cm³.

To calculate the volume of the rectangular prism, we need to determine the number of cubes that fit inside it and then multiply it by the volume of each cube.

Given that the rectangular prism is filled exactly with 8,000 cubes and each cube has an edge length of 15 cm, we can calculate the volume of each cube:

Volume of each cube = (15 cm)³ = 15 cm * 15 cm * 15 cm = 3,375 cm³

Since there are 8,000 cubes, we can multiply the volume of each cube by the number of cubes to find the total volume of the rectangular prism:

Volume of rectangular prism = 8,000 cubes * 3,375 cm³/cube = 27,000,000 cm³

Therefore, the volume of the rectangular prism is 27,000,000 cm³ or 18,000,000 cm³.

To learn more about Rectangular Prism

brainly.com/question/32444543

#SPJ11

Answer:

Question 9

Name the ordered pairs in the table: 3, 4, 5, 6, 7

Ordered pairs: (1,3), (2,4), (3,5), (4,6), (5,7)

Graph the equation: the attachment

Step-by-step explanation:

I don't know how to do questions 11 and 12.

Also sorry if these aren't correct.

Answer:

it is b.

Step-by-step explanation:

hope this helps

Answer:

H.  13

Step-by-step explanation:

To find the output of a function, substitute the value given in parentheses for x, and do the operations.

Given f(3)

f(3) = 5(3) - 2

f(3) = 15 - 2

f(3) = 13

Answer:

its 13 ^^

Step-by-step explanation:

Answer:

-30, 210 and 330 degrees

Step-by-step explanation:

Given the expression Sin x = - 1/2

x = arcsin(-1/2)

x = -30 degrees

Since sin is negative in the third and fourth quadrant

x = 180 + 30

x = 210 degrees

In the fourth quadrant

x = 360 - 30

x = 330

Hence the value of x within the interval -360 < x < 360 are -30, 210 and 330 degrees