There are y learners in class 9T. Mrs. Leclerc shares 85 pencils between the learners in class 9T. Each learner gets 5 pencils. Write an equation to represent this situation​

The correct answer is: allows for the construction of meaningful ratios between the data values.

The interval scale of measurement allows for the construction of meaningful ratios between the data values. This means that not only can we determine the order and the difference between values, but we can also compare values in terms of their relative magnitude using ratios. However, it does not have a true zero point and therefore does not allow for the use of negative values or the construction of absolute ratios. The nominal scale, on the other hand, is the weakest scale of measurement as it only allows for categorization or naming of data without any numerical significance. The correct answer is: allows for the construction of meaningful ratios between the data values.

The interval scale of measurement allows for the construction of meaningful ratios between the data values. This means that not only can we determine the order and the difference between values, but we can also compare values in terms of their relative magnitude using ratios.

However, it does not have a true zero point and therefore does not allow for the use of negative values or the construction of absolute ratios. The nominal scale, on the other hand, is the weakest scale of measurement as it only allows for categorization or naming of data without any numerical significance.

To know more about categorization visit-

brainly.com/question/17356024

#SPJ11

The answer to the question is [insert number here] observations.

The accompanying data set contains three numerical variables, x1, x2, and x3. To find the number of observations with x1 values greater than 30, we need to look at the data set and count the number of observations that meet this criteria.

To do this, we can look at the x1 column of the data set and count the number of values that are greater than 30. Each value in the x1 column corresponds to one observation, so by counting the number of values greater than 30, we are also counting the number of observations that meet this criteria.

Once we have counted the number of observations with x1 values greater than 30, we can report this number as the answer to the question.

In this case, the number of observations with x1 values greater than 30 is [insert number here].

Therefore, the answer to the question is [insert number here] observations.

Learn more about Variables

brainly.com/question/17344045

#SPJ11

Answer:

See below

Step-by-step explanation:

Comment

This is a good question. It makes you think about when you should round and maybe when you shouldn't.

You have a building side that is 38 square yards. You want to know how much paint to buy to cover the given side.

Let us say that each can of paint could cover 5 square yards. You cannot buy any can that might be smaller to take care of the 3 remaining square yards.

You have no choice. You have to round the answer from 7 R 3 to 8.

The transfer function 3(s)/s using the following procedure.

Step 1: Start with the equation Y(s) = (3/s)X(s) where Y(s) and X(s) are the Laplace transforms of the output and input signals, respectively.

Step 2: Rewrite the equation to solve for X(s)/Y(s):X(s)/Y(s) = s/3

Step 3: The transfer function is X(s)/Y(s), so the transfer function for 3(s)/s is s/3.

To find the transfer function X3(s)/F(s), follow these steps.

Step 1: Start with the equation X3(s) = (1/s^2)F(s) where X3(s) and F(s) are the Laplace transforms of the output and input signals, respectively.

Step 2: Rewrite the equation to solve for X3(s)/F(s):X3(s)/F(s) = 1/s^2

Step 3: The transfer function is X3(s)/F(s), so the transfer function for X3(s)/F(s) is 1/s^2.

To know more about transfer function visit:
brainly.com/question/33196132

#SPJ11

Answer:
45.2x0.784

Step-by-step explanation:

This problem equals 35.4368, which has four decimal points

Answer:

y=85

Step-by-step explanation:

The required standard form is Maximiz \(e 2x1 + 5x2 + 0x3 + 0x4\) Subject to \(3x1 + 2x2 + x3 ≤ 12 -2x1 - 3x2 + x4 ≤ -6 x1, x2, x3, x4 ≥ 0.\)

The given problem is:

Maximize \(2x1 + 5x2\) subject to\(3x1 + 2x2 ≤ 12, -2x1 - 3x2 ≤ -6\) and\(x1 ≥ 0\)

The given problem is already in inequality form, which we need to convert into the standard form of Linear Programming (LP).

The standard form of LP is defined as:

Maximize: CX

Subject to: \(AX ≤ BX1 ≥ 0\)

Where A is a matrix, B is a matrix, C is a vector, and X is the vector we need to find.

The given problem has a maximum objective, therefore we need to change all inequality constraints into equality constraints.

To change inequality constraints into equality constraints, we introduce slack variables.

Therefore the given problem becomes:

Maximize \(2x1 + 5x2\) subject to\(3x1 + 2x2 + x3 = 12 -2x1 - 3x2 + x4 = -6 x1, x3, x4 ≥ 0\)

Now we arrange all the variables in the following form, Maximize CX subject to\(AX = B\) and \(X ≥ 0.\)

We can do this by writing the slack variables at the end of the problem and combining the constraints to form the A matrix and B vector.

The new form is given by:

Maximize \(2x1 + 5x2\) subject to \(3x1 + 2x2 + x3 = 12 -2x1 - 3x2 + x4 = -6x1 ≥ 0, x2 ≥ 0, x3 ≥ 0, x4 ≥ 0\)

Now, we can form the matrices and vectors A, B, and C in the standard form of LP as follows:

\(C = [2 5 0 0]A \\= [3 2 1 0 -2 -3 0 1]B \\= [12 -6]X = [x1 x2 x3 x4]\)

The standard form of LP is as follows:

Maximize \(2x1 + 5x2 + 0x3 + 0x4\)

Subject to: \(3x1 + 2x2 + x3 + 0x4 ≤ 12 -2x1 - 3x2 + 0x3 + x4 ≤ -6x1 ≥ 0, x2 ≥ 0, x3 ≥ 0, x4 ≥ 0\)

Know more about Linear Programming (LP) here:

https://brainly.com/question/14309521

#SPJ11

Using the slope formula, we know that the relationship between AB and CD is that they are (C) parallel.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

A line's steepness can be determined by looking at its slope.

The slope is calculated mathematically as "rise over run" (change in y divided by change in x).

So, formula: m = y2 - y1/x2 - x2

For AB:

m = y2 - y1/x2 - x2

m = -5+2/3-1

m = -3/2

For CD:

m = y2 - y1/x2 - x2

m = 5-2/5-7

m = -3/2

The two lines have equal slopes, and when slopes are equal, lines are said to be parallel.

Therefore, using the slope formula, we know that the relationship between AB and CD is that they are (C) parallel.

Know more about a slope here:

https://brainly.com/question/29280886

#SPJ1

Correct question:
Determine the relationship of AB and CD gave the following points: A (1, -2), B (3, -5), C (7, 2), and D (5, 5).

a. Neither

b. Perpendicular

c. Parallel

Answer: 1 inch : 4 feet

Step-by-step explanation:

Given: A room in the hotel is 6 inches long in the drawing.

The actual room is 24 feet long.

i.e. 6 inches in the drawing = 24 feet (in actual)

1 inch in drawing = \(\dfrac{24}{6}\) feet

i.e. 1 inch in drawing = 4 feet

The scale of drawing Percy used for the drawing:

1 inch : 4 feet

The calculated value of the surface area of the cone is 36π

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

Radius, r = 4 meters

Slant height, l = 5 meters

using the above as a guide, we have the following:

SA = πr(r + l)

Substitute the known values in the above equation, so, we have the following representation

SA = π * 4 * (4 + 5)

Evaluate

SA = 36π

Hence, the surface area of the cone is 36π

Read more about surface area at

https://brainly.com/question/16519513

#SPJ1

Using proportions, some equivalent measurements are given as follows:

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, that can be either direct(cross multiplication) or inverse(line multiplication), deriving from proportional relationships. One example of application of proportions is for unit conversion problems, as unit conversion involve rates between the variables.

Each meter has 100 centimeters, hence:

1 centimeter - 0.01 meters.

Each hour has 60 minutes, hence:

Each feet has 12 inches, hence:

3 and 1/3 feet - 40 inches.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

The missing numbers are 14 and 17. there are 50 steps taken to reach the last pebble on this part of the path.

What is the missing number?

Missing numbers are the numbers that have been missed in the given series of a number with similar differences among them.

let's take a look at pebbles along each part of the path, there is 1 number of addition to each pebble number to go on next pebble.

i.e. 12, 13, 14, 15, 16, 17

so, the missing numbers are 14 and 17.

now, as given Hansel and Gretel used a pebble to mark every 10 steps as they walked along the path. How many steps have they taken when they get to the last pebble on this part of the path?

so, to go on next pebble there are 10 steps to walk.

therefore, from starting pebble  number 12 to last pebble number 17, there are 50 steps ( difference between two pebbles is 10 steps).

hence, the missing numbers are 14 and 17. there are 50 steps taken to reach the last pebble on this part of the path.

To learn more about missing numbers visit : brainly.com/question/12750881

#SPJ4

Answer:

Step-by-step explanation:

You are asked for the area and perimeter of a figure comprised of a square and two sectors.

The perimeter of the figure is the sum of the lengths of the outside edges. You recognize vertical edges AD and BC as being the sides of a square that are 4 units long.

The other two sides of the square are AB and CD, but these are not part of the perimeter. The significance of those is that they are radii of the sectors ABE and CDF. The straight segments of AE and CF of those sectors have the same length (4 units) as the side of the square. Those straight segments are part of the perimeter.

In effect, the four straight segments of the perimeter are all 4 units.

The curved edges of the two sectors have a length that is found using the formula ...

  s = rθ

where r is the sector radius, and θ is the central angle in radians.

The angle is shown as 30°, which is 30°(π/180°) = π/6 radians. The radius is the square side length, 4, so each curved line has length ...

  s = (4)(π/6) = 2/3·π

The perimeter of the figure is the sum of the lengths of the straight segments and the curved arcs:

  P = 4(4 units) +2(2/3π units) = 16 +4/3π units ≈ 20.19 units

As with the perimeter, the area is composed of the area of a square and the areas of two sectors.

The area of the square is the square of its side length:

  A = s²

  A = (4 units)² = 16 units²

The area of each sector is effectively the area of a triangle with base equal to the arc length (2/3π) and height equal to the radius of the arc (4 units). The sector area is ...

  A = 1/2rs

  A = 1/2(4 units)(2/3π units) = 4/3π units²

The area of the whole figure is the sum of the area of the square and the areas of the two sectors:

  A = square area + 2×(sector area)

  A = 16 units² + 2×(4/3π units²) = (16 +8/3π) units² ≈ 24.38 units²

__

Additional comment

In general, you find the perimeter and/or area of a strange figure by decomposing it into parts whose perimeter and area you can compute. (When you get to calculus, those parts will be infinitesimally small and there will be an infinite number of them.) At this point, you will generally be making use of formulas that should be familiar.

The formula for the area of a sector is usually written ...

  A = 1/2r²θ

Here, we have made use of our previous computation of s=rθ to write the area formula as A = 1/2rs. The similarity to the triangle area formula is not accidental.

The calculated value of the volume of the prism is 120 cubic cm

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

The triangular based prism

By formula, we have the volume of the prism to be

Volume = base area  * Height

using the above as a guide, we have the following:

Base area = 1/2 * 4 * 5 = 10

Height = 12

substitute the known values in the above equation, so, we have the following representation

Volume = 10 * 12

Evaluate

Volume = 120

Hence, the volume of the prism is 120 cubic cm

Read more about volume at

brainly.com/question/463363

#SPJ1

Answer:

$488.33 monthly savings

Step-by-step explanation:

Parent payment 30% of $21,800 is $6,540.

Subtract all payment from total cost.

21,800−6,540−5,600−3,800=5,680.

Split this into monthly payment by dividing 5,680 by 12 months.

5,680÷12= $488.33

Answer:

Expressions equivalent to 10a-2+5b are (2a-5+b)5, 10x(a-2.5+0.5b), and (-2a+5-b)x(-5)

Answer:  x = 2

=============================================================

Explanation:

Refer to the diagram below.

I've added points D,E,F,G. This helps with labeling the segments and angles, and identifying the proper triangles (to see which are congruent pairs).

Triangle GEA is congruent to triangle GFA. We can prove this using the AAS congruence theorem. We have AG = AG as the pair of congruent sides, and the congruent pairs of angles are marked in the diagram (specifically the blue pairs of angles and the gray right angle markers)

Since triangle GEA is congruent to triangle GFA, this means the corresponding pieces segment GF and GE are the same length.

The diagram shows GF = 3x-4, so this means GE = 3x-4 as well.

----------------------

Through similar steps, we can show that triangle GEC is congruent to triangle GDC. We also use AAS here as well.

The congruent triangles lead to GD = GE. So GD = 3x-4. The diagram shows that GD = 6x-10

Since GD is equal to both 3x-4 and 6x-10, this must mean the two expressions are equal.

----------------------

Now let's solve for x

6x-10 = 3x-4

6x-3x = -4+10

3x = 6

x = 6/3

x = 2

Answer:

The last option 8x + 4 = 196

Step-by-step explanation:

8x + 4 = 196

8x = 192

x=192/8

x=24

The strategy that can help solve this word problem is : If x represents the number of pencils per box, solve the equation 8x + 4 = 196.

A strategy is an approach that leads someone to the nearest of the solution of a problem.

Soni has 196 pencils.

Let, one box can accommodate x number of pencils.

Therefore 8 boxes can accommodate 8x number of pencils.

But she has 4 more pencils.

Hence, the required equation is 8x+4=196.

Learn more about the equation here :

https://brainly.ph/question/4246696

#SPJ2

Answer:

\(3\)×\(10^{-10\)

Step-by-step explanation:

Expand all the numbers:

Find the biggest number:

The biggest number is the list is 0.0000000003 which is \(3\)×\(10^{-10\) which will be your answer!

Have a lovely day :)

The length of the diagonal of the rectangle is 25cm.

The diagonal of a rectangle is the line segment that connects the two opposite vertices. It can be calculated using the Pythagorean Theorem, which states that the square of the hypotenuse (the longest side of a right triangle) is equal to   the sum of the squares of the other two sides.

In this case, the length of the two sides of the rectangle are 15cm and 20cm. To calculate the diagonal of the rectangle, we need to use the Pythagorean Theorem to solve for the hypotenuse, which is the diagonal of the rectangle.

The formula is: a² + b² = c²

Using the sides of the rectangle, we get: 15² + 20² = c²

Simplifying the equation, we get: 225 + 400 = c²

Then, we take the square root of both sides of the equation to find the length of the diagonal:

√625 = c

The length of the diagonal of the rectangle is 25cm.

Learn more about diagonal of a rectangle here:

https://brainly.com/question/18983839

#SPJ4

You have the following list of numbers:

7, 6, 3, 5, 1, 9, 8

In order to determine which of the previous numbers are prime numbers, you consider that a prime number is a number greater than 1, that ONLY can be divided by itself and 1 (to obtain a whole number).

Due to the previous definition, yuo can notice that from the list of numbers, there are three prime number: 7, 3, 5,

The approximate intensity of the earthquake is (b) 63096

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

M = log(I)

When the magnitude is 4.8

We have the following representation

M = 4.8

Substitute the known values in the above equation, so, we have the following representation

log(I) = 4.8

Take the antilog of both sides

I = 63095.734448

Approximate

I = 63096

Hence, the intensity is 63096

Read more about Richter scale at

https://brainly.com/question/21024695

#SPJ1

Answer:

B

Step-by-step explanation:

Answer:

1. -2

2. -10

3. -8

Step-by-step explanation:

1. you add 4 to -3 which is equal to one then you multiply 1 by -2 which is -2

2. 4-2=2 then 2(-5) is equal to -10

3. -7+3=-4 and 4-5 is equal to -1 then you multiply that by 2 which is equal to -2

The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

Find out more information about geometric sequence here:

brainly.com/question/11266123

Answer:

The graph below shows a proportional relationship between xxx and yyy.

What is the constant of proportionality, \dfrac{y}{x}

x

y

​

start fraction, y, divided by, x, end fraction ?

Step-by-step explanation:

Answer: Option A

Step-by-step explanation:

6x - 12 > -6

6x > 6

x > 1

In situation a, the predictor variable is age, as it is being tested to see if it affects the outcome variable, which is the number of risky behaviors. So, age is the independent variable and the number of risky behaviors is the dependent variable.

In situation b, the predictor variable is the number of family members, as it is being tested to see if it affects the outcome variable, which is the level of education of children. So, the number of family members is the independent variable and the level of education of children is the dependent variable.

It is important to identify the predictor variable and the outcome variable in any study as this helps in understanding the relationship between the two variables and in interpreting the results accurately.

For situation A, the predictor variable is "age," and the outcome variable is "number of risky behaviors." As age increases, the study aims to see if the number of risky behaviors changes.

For situation B, the predictor variable is "number of family members," and the outcome variable is "level of education of children." The study examines whether the children's level of education changes based on the number of family members.

Learn more about independent variable at: brainly.com/question/1479694

#SPJ11