Describe geometrically (line, plane, or all of R^3) all linear combinations of (a) [1 2 3] and [3 6 9] (b) [1 0 0] and [0 2 3] (c) [2 0 0] and [0 2 2] and [2 2 3]

From the graph given the constant of proportionality which is the intercept of the graph is 0.

In the slope - intercept equation , y = bx + C, the constant of proportionality is denoted as C which is also the intercept value of the graph.

The constant of proportionality doesn't change in an equation. For the graph attached , the point where the fitted line crosses the y-axis is the intercept which is 0.

Hence, the constant of proportionality is 0.

Learn more on constant of proportionality:https://brainly.com/question/1835116

#SPJ1

Answer:

$4$3,25-(12.50+$15,50 )=$15 25

Step-by-step explanation:

1shirt and 1 pants and a change of$15,25

Answer: 16.77363782

Step-by-step explanation:

Answer:

x > 14/3

Step-by-step explanation:

3x > 8 + 6

3x > 14

x > 14/3

Answer:

x > 14/3

Step-by-step explanation:

\(3x-6 > 8\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x > \frac{14}{3}\:\\ \:\mathrm{Decimal:}&\:x > 4.66666\dots \\ \:\mathrm{Interval\:Notation:}&\:\left(\frac{14}{3},\:\infty \:\right)\end{bmatrix}\)

\(\mathrm{Add\:}6\mathrm{\:to\:both\:sides}\)

\(3x-6+6 > 8+6\)

\(\mathrm{Simplify}\)

\(3x > 14\)

\(\mathrm{Divide\:both\:sides\:by\:}3\)

\(\frac{3x}{3} > \frac{14}{3}\)

\(\mathrm{Simplify}\)

\(x > \frac{14}{3}\)

[RevyBreeze]

Answer:

2 games for both bowling alleys to cost the same amount

the value of δz is smaller than the value of dz in this case.

To compare the values of δz and dz, where z = 9x^2y^2 and (x, y) changes from (1, 1) to (0.95, 0.9), we need to calculate both δz and dz.

δz represents the change in z, and dz represents the total differential of z.

Let's calculate δz:

δz = z(x+Δx, y+Δy) - z(x, y)

Substituting the given values:

Δx = 0.95 - 1 = -0.05

Δy = 0.9 - 1 = -0.1

δz = z(1 - 0.05, 1 - 0.1) - z(1, 1)

Calculating the values:

z(0.95, 0.9) = 9(0.95^2)(0.9^2) ≈ 7.7894

z(1, 1) = 9(1^2)(1^2) = 9

δz = 7.7894 - 9 ≈ -1.2106

Now let's calculate dz:

dz = (∂z/∂x)dx + (∂z/∂y)dy

Taking the partial derivatives of z:

∂z/∂x = 18xy^2

∂z/∂y = 18x^2y

Substituting the given values:

x = 1

y = 1

dx = 0.95 - 1 = -0.05

dy = 0.9 - 1 = -0.1

dz = (18(1)(1^2))(-0.05) + (18(1^2)(1))(-0.1)

Calculating the values:

dz = -0.9 - 1.8 = -2.7

Rounding the answers to four decimal places:

δz ≈ -1.2106

dz ≈ -2.7000

Comparing the values, we have:

δz < dz

To know more about differential visit:

brainly.com/question/29165531

#SPJ11

0.636  is the probability that the ball chosen from urn .

What is probability ?

Urn A contains 2 W, 4 R

Urn B contains 8 W, 4 R

Urn C contains 1 W,  3 R

Probability of selecting 3 balls out of which 2 are white

P(J)=P(WWR)+P(WRW)+P(RWW)

      = 2/6 * 8/12 * 3/4 + 2/6 * 4/12 * 1/4 + 4/6 * 8/12 * 1/4 = 88/288

  Probability that the ball chosen from Urn A was white given that exactly 2 white balls  were selected

  P(A/J) = P(A ∩ J)/P(J)

            = 56/288/88/288

             = 0.636

Learn more about probability

brainly.com/question/11234923

#SPJ4

The graph of the inequality y ≥ (1/2)x - 1 and x - y > 1 is attached. Shannon's graph is correct.

An equation is an expression that shows the relationship between two or more numbers and variables. Equations can either be linear, quadratic, cubic and so on depending on the degree.

Inequalities are used for the non equal comparison of numbers and variables.

Given the inequalities:

y ≥ (1/2)x - 1     (1)

and

x - y > 1     (2)

The graph of the inequality is attached. Shannon's graph is correct.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Since there are no lines in one point geometry, none of the incidence axioms are satisfied because all of them need multiple points and lines.

Along with addition, subtraction, and division, multiplication is one of the four arithmetic operations. Multiplication in math refers to regularly adding groups of the same size. The formula for multiplication is multiplicand multiplier Equals product. Specifically, multiplicand: First number (factor). divider: Second number (factor). After multiplying the multiplicand and the multiplier, the result is known as the product. Multiple additions are made while adding numerals. as in 5 times 4 Equals 5 + 5 + 5 + 5 = 20. I multiplied 5 by 4 times. Multiplication is frequently referred to as "doubling" because of this.

Choosing two out of four is a combination issue since the order is irrelevant (no indication concerning order is given in the problem). A sample of A, B is equivalent to a sample of B, A if the population of 4 is A, B, C, and D.

There are 4C2 = 6 potential samples.

For such a tiny population, you may also list all potential samples as "A, B," "A, C," "A, D," "B, C," "B, D," and "C, D."

To know more about multiply visit:

https://brainly.com/question/23536361

#SPJ4

The variance of the sample means will be 0.3428.

What is Variance of sample means?

The variance of the sampling distribution of the mean is the population variance divided by the sample size.

Given that;

A uniform continuous distribution has a maximum of 14 and a minimum

of 2.

Samples of size 36 are drawn from the distribution.

Now,

The population variance = 14 - 2

                                      = 12

And, Sample size = 36

Since, The variance of the sample means is defined as;

= Population variance / Sample size

Substitute all the values, we get;

= 12 / 35

= 0.3428

Thus, The variance of the sample means will be 0.3428.

Learn more about the Variance of sample means visit:

https://brainly.com/question/28213657

#SPJ1

The statement (∀z)(∀y)[(G(z) & W(y)) → E(y,z)] would be false under the circumstance described in option d, i.e., if there is a single wolf that has eaten every goat.

The given statement can be translated as "For all z (goats) and y (wolves), if z is a goat and y is a wolf, then y has eaten z." In other words, it asserts that every goat is eaten by a wolf.

Option d contradicts this statement by stating that there is a single wolf that has eaten every goat. If there exists a wolf that has consumed all the goats, then the statement (∀z)(∀y)[(G(z) & W(y)) → E(y,z)] would be false because not every goat is eaten by a wolf in that scenario. Therefore, option d represents the circumstance in which the statement would be false.


To learn more about statements click here: brainly.com/question/29751060

#SPJ11

The true statements for the given function f(x) are:

The value of g(1) is 3 and the y- intercept of g(x) is at the point (0, 1) .

The function g(x) = f( x - 3 )

g (1) = f (1 -3 )

       = f (-2 )

       = 3

g (-1) = f (-1 -3)

       = f (-4)

       = - 1

Substituting , x = 0 to find the y intercept of g(x)

g ( 0 ) = f ( 0 - 3)

          =f (-3)

          =1

The y intercept of g(x) is at the point (0, 1)

Thus, options 1 and 4 are the true statements for the given function.

To learn more about functions, refer:

https://brainly.com/question/25638609

#SPJ1

Answer:

This property is known as the associative property

Step-by-step explanation:

In the associative property, you rearrange the numbers so they make the most sense in what position they are in.

Hope this helps! :)

Answer:

associate property

:<

Answer:

x= 115

Step-by-step explanation:

hope it helps

Answer:

12b(5a-6)

Step-by-step explanation:

60ab-72b and 12b has a common factor. Hence, divide 12b into 60ab and -72b. Which you get 12b(5a-6)

Answer:

B: 12b(5a - 6)

Step-by-step explanation

Edge 2021

The three methods for the evaluation of the accuracy of a classifier are Hold-out method, Cross-validation, and Bootstrap. The major differences among the three methods are explained below:a) Hold-out method:This method divides the original dataset into two parts, a training set and a test set.

The training set is used to train the model, and the test set is used to evaluate the model's accuracy. The advantage of the hold-out method is that it is simple and easy to implement. The disadvantage is that it may have a high variance, meaning that the accuracy may vary depending on the particular training/test split.b) Cross-validation:This method involves dividing the original dataset into k equally sized parts, or folds. This process is repeated k times, with each fold used exactly once as the test set.

The advantage of cross-validation is that it provides a more accurate estimate of the model's accuracy than the hold-out method, as it uses all of the data for training and testing. The disadvantage is that it may be computationally expensive for large datasets, as it requires training and testing the model k times.c) Bootstrap:This method involves randomly sampling the original dataset with replacement to generate multiple datasets of the same size as the original. A model is trained on each of these datasets and tested on the remaining data.

In conclusion, the hold-out method is the simplest and easiest to implement, but may have a high variance. Cross-validation and bootstrap are more accurate methods, but may be computationally expensive for large datasets.

To know more about bootstrap visit :

https://brainly.com/question/13014288

#SPJ11

Answer:

I think is -x + 105/42y

Step-by-step explanation:

2(3/10)x - 5/7y - 4(5/6)y - 2(4/5)x

6/10x - 5/7y - 20/6y - 8/5x

6/10x - 8/5x - 5/7y - 20/6y

6-16/10x - 35+140/42y

-10/10x + 105/42y

-x + 105/42y

Answer:

y=1/3x+6

Step-by-step explanation:

Answer:

y=1/3x+6

Step-by-step explanation:

The exponential equation is y = 2,642(2.5)^x. x represents the number of days.

What is a function?

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two varying quantities.

Given that a video was released to the public, it already had 2,642 views.

One day later, the number of views increased to 3,963.

The number of viewers after one day is ( 3,963 + 2,642 ) = 6,605

Assume that the exponential function y = a(b)^x represents the number of viewers. x represents the number of days.

Putting x = 0 and  y = 2,642 in y = a(b)^x:

2,642 = a(b)⁰

a = 2,642

Putting x = 1 and  y = 6,605 in y = a(b)^x:

6,605 = a(b)¹

Putting a = 2,642:

6,605 = 2,642(b)¹

b = 6,605/2,642

b = 2.5

To learn more about  exponential function, click on the below link:

https://brainly.com/question/27733251

#SPJ1

Answer:

I'm gonna say false

GDP or Gross Domestic Profit is the money that is being spent/made inside the country. So it stands to reason that if people are spending more, the GDP would go up.

Hope this helps!

The length of the compass so that ΔXYZ is isosceles and not equilateral could be;

Option C; between ¹/₂XY and XY

Option E; greater than XY

We are told that;

Student has drawn a line XY

Now the student opened the compass with a set length to draw two intersecting arcs with X and Y as centers.

Now, for these two arcs to meet, the compass has to be opened to a length that is more than half of segment XY.

Secondly, since the triangle is not equilateral, it means the compass cannot be opened to length AB.

The next step would be t open the compass to a length slightly bigger or slightly smaller than AB.

Finally, the options that apply are Options C and E.

Read more about construction of Isosceles triangles at; https://brainly.com/question/2520169

The time taken by Ms. Peters to drive from the park to her home is 14.4 minutes at the average speed of 40 miles per hour.

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in ordinary language (e.g. "two counties over"). The term is frequently used metaphorically to refer to a measurement of the distance between two common pieces (such as numerical distance between probabilities or edit location between strings of text) or a degree of separation because space - time cognition is a rich source of conceptual metaphors in human thought.

Given that, Ms. Peter drove from her home to the park at an average speed of 30 miles per hour.

S = 30

Time taken = 20 minutes = 0.33 hours

The distance is thus calculated as:

D = S(T)

D = (30)(0.33)

D = 9.9 miles

Now, to return the same distance at the speed of 40 miles per hour the time taken is:

D = S(T)

9.9 = 40 (T)

T = 0.24 hours = 14.4 minutes

Hence, the time taken by Ms. Peters to drive from the park to her home is 14.4 minutes at the average speed of 40 miles per hour.

Learn more about distance here:

https://brainly.com/question/13269893

#SPJ1

Answer:

y=-3+5

Step-by-step explanation:

Setting y=Ax+B we find that the slope A=-3 and -1=-3(2)+B which means that B=5. Thus, the equation of the line is y=-3x+5.

The Kruskal-Wallis test is a non-parametric test used to compare three or more independent groups to determine if there is a significant difference between the medians of the groups. The test statistic used in this test is denoted by the letter "H," which is calculated based on the ranks of the data.

True. The test statistic calculated in the Kruskal-Wallis test is denoted by the symbol H, not to be confused with the Shapiro-Wilk test statistic denoted by W. The Kruskal-Wallis test is a non-parametric test used to compare the median ranks of three or more independent groups. The test statistic H is calculated by comparing the between-group sum of squares to the total sum of squares. H follows a chi-squared distribution with degrees of freedom equal to the number of groups minus one. The p-value obtained from the chi-squared distribution is used to determine whether to reject or fail to reject the null hypothesis that there is no significant difference between the groups.

To learn more about median : brainly.com/question/11237736

#SPJ11

The probability that X is between 57 and 105 is 0.8914.

Given:

* X is normally distributed with mean=90 and standard deviation=12

* P(57 < X < 105)

Solution:

* Convert the given values to z-scores:

   * z = (X - μ) / σ

   * z = (57 - 90) / 12 = -2.50

   * z = (105 - 90) / 12 = 1.25

* Use the z-table to find the probability:

   * P(Z < -2.50) = 0.0062

   * P(Z < 1.25) = 0.8944

* Add the probabilities to find the total probability:

   * P(57 < X < 105) = 0.0062 + 0.8944 = 0.8914

Therefore, the probability that X is between 57 and 105 is 0.8914.

Read more about probability here:

https://brainly.com/question/24756209

#SPJ1

Answer:

a=2.4

b=13.9

c= -8.1

Step-by-step explanation:

a= 3-0.6= 2.4

b= 12.5-(-1.4)= 13.9

c= -5.2-2.9= -8.1

A population has a mean of 180 and a standard deviation of 36. A sample of 84 observations will be taken. The probability that the sample mean will be between 181 and 185 is

Given n(sample size) = 84

Population mean(μ) = 180

Standard Deviation(σ) = 36

Standard error of the mean = σx-bar = σ/√n = 36/√84 = 36/9.165 = 3.927

Standardizing the sample mean we have

Z = (x-bar - μ)/σx-bar = (x-bar - μ)/σ/√n

x-bar = 180

Z(x-bar=185 at point C) = (185 - 180)/3.927 = 5/3.927 = 1.273

Z(x-bar=181 at point D) = (181 - 180)/3.927 = 1/3.927 = 0.254

The area ABCD is the probability that the sample mean will lie between 181 and 185.

The shaded Area ABCD = (Area corresponding to Z = 2 or x-bar = 185) - (Area corresponding to Z = 1 or x-bar = 181)

Area corresponding to Z = 1.273 = 0.898

Area corresponding to Z = 0.254 = 0.598

The shaded Area ABCD = 0.898-0.598 = 0.300

Therefore the probability that the sample mean will lie between 181 and 185 is 0.300.

To learn more about Probability, click here https://brainly.com/question/25870256

#SPJ4