How to Graph y=1/2x-3/2

The number of times the point R ( 120° , P ) needs to be rotated so that the figure is mapped to itself is 3 times

What is Rotation?

The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.

90° clockwise rotation: (x,y) becomes (y,-x)

90° counterclockwise rotation: (x,y) becomes (-y,x)

180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

270° clockwise rotation: (x,y) becomes (-y,x)

270° counterclockwise rotation: (x,y) becomes (y,-x)

Given data ,

Let the number of rotation be = n

Let the point be R

Now , the coordinates of the point R is

R ( 120° , P )

Now , to map the figure onto itself it needs to rotate 360°

So ,the number of times 120° needs to rotate to reach 360° is calculated as

n x 120° = 360°

Divide by 120 on both sides , we get

n = 360 / 3

n = 3 times

Therefore , the value of n is 3

Hence ,  The number of times the point R ( 120° , P ) needs to be rotated so that the figure is mapped to itself is 3 times

To learn more about rotation click :

https://brainly.com/question/13663908

#SPJ1

One or more of the mean differences are statistically significant, but not the precise location of the group differences.

In mathematical modeling, statistical modeling, and experimental sciences, there are dependent and independent variables. A variable that is independent is precisely what it sounds like. It is a stand-alone variable that is unaffected by the other variables you are attempting to assess. Age, for instance, might be an independent variable.

Dependent variables are so-called because, during an experiment, their values are examined on the assumption or presumption that they are governed by the values of other variables.

For more questions like Independent variable click the link below:

https://brainly.com/question/17087252

#SPJ4

The probability for the given condition is, 0.56.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Given:

11 black balls and 14 white balls are placed in an urn. two balls are then drawn in succession.

We have to find the probability that the second ball drawn is a white ball if the second ball is drawn without replacing the first ball.

P(white ball) = 14 / (11 + 14) = 14 / 25

P(2nd ball is white) = P(first ball is white)*P(2nd ball is white) + P(first ball is black)*P(2nd ball is white)

= (14 / 25) * (13 / 24) + (11 / 25) * (14 / 24)

=0.56

Hence, the probability for the given condition is, 0.56.

To know more about probability, click on the link

https://brainly.com/question/24756209

#SPJ4

Answer:The property used in 7 + 8 = 8 + 7 is Commutative property under addition

Step-by-step explanation:

Answer:

The identity property is a=a, so it is identity property

Step-by-step explanation:

???

A linear problem is always convex, because anything linear is convex.

What is linear programming?

A mathematical model whose requirements are expressed by linear connections can be optimized using a technique known as linear programming. A particular type of mathematical programming is linear programming.

A convex function is a real-valued function defined on an interval with the property that its epigraph (the set of points on or above the graph of the function) is a convex set. Convex minimization is a subfield of optimization that studies the problem of minimizing convex functions over convex sets.

Every linear function has a concave shape. However, only convex polygons (possible sets of linear programs) exist.

A linear problem is always convex, because anything linear is convex.

To know more about linear programming visit,

brainly.com/question/25828237

#SPJ4

Answer:

the answer is $6

Step-by-step explanation:

This is because there are 1000g in 1kg, so 500g is half of that and half of 12 is 6.

Answer: =3x+6

Step-by-step explanation:

Answer:

Step-by-step explanation:

574.35/35=16.41

276.16/32=8.63

16.41 + 8.63 = 25.04

Answer:

A is (3,4) B. is 18,4

Step-by-step explanation:

Check the picture below.

The  frequency table formed using tally marks can be analyzed by using the numbers indicated by the tally  marks as follows;

The true statements are as follows;

Tally marks makes use of vertical lines to represent data, in which the fifth count is represented by a diagonal line across four vertical lines;

The data in the table are as follows

The number of students that prefer red = 5 + 1 = 6

The number of students that prefer yellow = 2

The number of students that prefer Blue = 5

The number of students that prefer purple = 3

The number of students that prefer Green = 6

Therefore;

Learn more about frequency tables in statistics here:

https://brainly.com/question/15422753

#SPJ1

Answer: I believe it is 2/12. tell me if I am wrong.

Step-by-step explanation: Hope this helps!

The largest possible value of the expression (12 - x)/3x is 3.

Expression

In algebra, expression is the combination of variables, numbers and constants.

Given,

Here we have the expression (12 - x)/3x.

Now we have to find the  largest possible integer value.

As we have given in the question that the x takes only the non negative integer, then the values must be 1, 2, 3, ….

So, we have to apply the values on the given expression ,

Then we get the values,

=> x = 1 = > (12 - 1)/3(1) = 11/3 = 3.6

=> x = 2 => (12 - 2) / 3(2) = 10/6 = 1.6

=> x = 3 => (12 - 3) / 3(3) = 9/9 = 1

Therefore, the resulting value is 3.

To know more about expression here.

https://brainly.com/question/14083225

#SPJ4

Answer:

Step-by-step explanation:

(3x-2)(3x+1)

Answer:

(3x - 2)(3x + 1)

Step-by-step explanation:

9x^2 - 3x - 2 = 9x^ 2 - 6x  + 3x - 2 =

=3x(3x - 2) + (3x - 2) = (3x - 2)(3x + 1)

For the correct statement of the p-value, we would reject the null hypothesis.

There are two main methods for interpreting the statistical significance of a hypothesis test;

1) compare the p-value to the level of significance or

2) compare test statistics to a critical value.

Either method is acceptable, and is chosen by the researcher based upon which one is most typical in their field of research.

Under a hypothesis test we reject the null hypothesis if our p-value is less than the level of significance (p<α), and fail to reject the null hypothesis otherwise. Under the question, we are given a level of significance of 0.05 and a p-value of 0.01, where

p = 0.01 <α = 0.05

hence we would reject the null hypothesis. Thus the statement is TRUE.

To know more about  Hypothesis test here.

brainly.com/question/29576929

#SPJ4

The area of the polygons arranged in order of increasing Area is:

A polygon is a planar figure characterized by a limited number of straight line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both. A polygonal circuit's segments are known as its edges or sides.

The area of the triangle is given as:

[Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By)]/2

Where Ax and Ay are the x and y coordinates for the vertex of A. The same applies for the x and y notations of the B and C vertices.

Hence given:

A(-4-3), B(1, -3), C(-1,2)

we have

[-4(-3-2) + (1(2-(-3)) + (-1(-2-(-3))]/2

= 24/2

= 12

Hence the area of the triangle is 12.

To calculate the area of the rectangle, we use the distance formula. The equation for this is given as:

d² = (x₂ - x₁)² + (y₂-y₁)²

Where (x₁, x₂) are the coordinates of the first point and

(y₁, y₂) are the coordinates of the second point.

Assuming that the vertices are labeled as follows:

A (7,9), B(6,9), C(6,5), D(7,5), then

AB² = (6-7)² + (9-9)²
AB² = 1 + 0

AB = 1

BC² = (6-6)² + (5-9)²

BC² = 0² + -4²

BC = 4

CD² = (7-6)² +(5-5)²

CD² = 1² + 0²

CD = 1

DA² = (7-7)² + (9-5)²

DA² = 0² +4²

DA = 4

From the above, we can tell as is typical of a rectangle, that AB = CDand BC = DA

Since the Area of the rectangle is AB x CD OR BC x DA

The area of the rectangle =

4 x 1 = 4

Using the distance methods we can also arrive at the length of the sides of the square.

Since the area of a square is given as L² we only need the lenght one one side.

Hence,

AB = 3.60555

Hence the area of the square =

3.60555²

= 12.9999908025

Area of the square [tex]\approx[/tex] 13.

Thus the polygons arranged in order of increasing area are:

Learn more about Polygons;
https://brainly.com/question/24464711

#SPJ1

Answer:

Its the second one

Step-by-step explanation:

.

The volume of the solid tetrahedron is [tex]\frac{1}{144}[/tex] cubic units.

T's base is a triangle in the xy-plane (z= 0), with one edge being the line y=x, z= 0; the front side is a triangle in the vertical plane x= 1; the left side is a triangle in the xz-plane (y= 0); and the top is the plane xyz= 0 (this plane contains the three points (0,0,0), (1,1,0), (1,0,1).

The equation must be ax+by+cz+d=0 and must be satisfied by the three points as well as the edge (x=y, z=0).

T is thus described as 0≤z≤(xy), 0≤y≤x, 0≤x≤1.

for which it is suitable to used V=dzdydx.

[tex]\int\limits\int\ \int\limits{xyz} \, dV=\int\limits^1_0 \int\limits^x_0 \int\limits^{x-y}_0 {xyz} \, dxdydz\\ \\ =\int\limits^1_0 \int\limits^x_0[\frac{1}{2}xyz^2]\limits^{x-y}_0 dydx\\\\=\frac{1}{2}\int\limits^1_0 \int\limits^x_0(x^3y-2x^2y^2+xy^3)dydx\\\\=\frac{1}{2}\int\limits^1_0 [\frac{1}{2}x^3y^2-\frac{2}{3}x^2y^3+\frac{1}{4}xy^4]\limits^x_0dx\\\\=\frac{1}{2}\int\limits^1_0\frac{1}{12}x^5dx\\\\=\frac{1}{2}[\frac{1}{72}x^6]\limits^1_0\\\\=\frac{1}{144}[/tex]

Thus, the volume of the solid tetrahedron is [tex]\frac{1}{144}[/tex] cubic units.

To learn more triple integration refer here

https://brainly.com/question/29418559

#SPJ4

The commutative law of addition makes the expressions as,

35 + 82 → 82 + 35

7 + (-3) → (-3) + 7

15 - 9 = 6 → -9 + 15 = 6

27 + 13 = 40 → 13 + 27 = 40

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The commutative law of addition states that,

a + b = b + a

Now,

Using the commutative law we get,

35 + 82 = 82 + 35

7 - 3:

7 + (-3) = (-3) + 7

15 - 9 = 6

15 + (-9) = 6

(-9) + 15 = 6

-9 + 15 = 6

27 + 13 = 40

13 + 27 = 40

Thus,

The commutative law of addition makes the expressions as,

35 + 82 → 82 + 35

7 + (-3) → (-3) + 7

15 - 9 = 6 → -9 + 15 = 6

27 + 13 = 40 → 13 + 27 = 40

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Answer:

y = -x + 8

Step-by-step explanation:

x + y = 5

y = -x + 5

y = -x + b

0 = -(8) + b

b = 8

y = -x + 8

Could you please give me brainliest for this? Thank you!

The percentage is 10% who did not complete the marathon. It can be calculted using the formula of percentage.

What is percentage?

It is way of writting any number as a fraction of 100. Its symbol is % . It is a dimention less qunatity.

Total participants = 270

Number of participants completed the marathon = 243

Number of participants gave up = 19

Number of participnats disqualified = 8

Total number of participants who did not completed the merathon is the sum of participants who gave up and who did not qualified = 19 + 8 =27

Now, percentage of participants who did not complete the marathon is,

[tex]\frac{\text{Number of participants did not complete}}{\text{Total participants}}\times100\\=\frac{27}{270}\times100\\=10\%[/tex]

Hence, 10% did not complete the marathon.

Learn more about percentage from the following link:

https://brainly.com/question/843074

#SPJ4

Answer:

  45 eggs

Step-by-step explanation:

You want to know the number of eggs left after 27 have been eaten from a supply of 6 crates having 12 eggs each.

If each of 6 crates had 12 eggs, the number of eggs bought was ...

  (6 crates) × (12 eggs/crate) = 72 eggs

If 27 of those 72 were eaten, the number remaining is ...

  72 -27 = 45

45 eggs are left.

The probability that marksman will hits the target at most 13 times is  27.92%.

The number of successes ("x") is the probability mass function for such binomial distribution.

P(X = x) = ⁿCₓ . pˣ . qⁿ⁻ˣ

We are interested in the likelihood that the target will be struck exactly five times, therefore the desired number of successes is five (i.e., x = 13).

P(X = 13) =  ¹⁵C₁₃. (0.89)¹³ (0.11)²

P(X = 13) = 0.2792

P(X = 13) = 27.92%

Thus, the probability that marksman will hits the target at most 13 times is  27.92%.

To know more about the binomial distribution, here

https://brainly.com/question/9325204

#SPJ4

The dimensions of the box that minimize the total cost of materials used are:

L = W = 16 cm

H =  32 cm

What is the rectangular dimension?

Two dimensions make up a rectangle: the length and, perpendicular to that, the breadth. A triangle's or an oval's interior likewise has two dimensions.

We have,

volume L* W * H = 512 cm³

sides of the box cost = 1 cent/cm²

top and bottom cost 2 cent/cm²

to find out

dimensions of the box that minimize the total cost of material use

we know here,

L* W * H = 512 cm³

where,

L is length and W is width and H is the height

so when we minimize the cost function

C( L, W, H ) = (1) 1 H ( L + W ) + (2) 1 L W

so put here H

substitute  [tex]H = \frac{512}{LW}[/tex] we get,

C(L, W) = 512([tex]\frac{1}{l}, \frac{1}{W}[/tex]) + 2LW

so

minimum cost will be when the two partial derivatives is 0

dC/dL = 2W - 512/L² = 0

so

dC/dW = 2L - 512/W² = 0

L =  256/W²

so

by solving the above equation we get

L = W = (256)⁻³ = 16cm

and

H = 512/16 = 32

H =  32 cm

Hence, the dimensions of the box that minimize the total cost of materials used are:

L = W = 16 cm

H =  32 cm

To learn more about the rectangular dimension visit,

https://brainly.com/question/27404871

#SPJ4

Mia will pay a total of $4.5 for the shipping and handling of the t-shirt

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

Cost of the shirt = $15

shipping and handling = 30%

The amount paid for the shipping and handling of the t-shirt can be calculated using the following equation

Amount paid = original price * + shipping and handling

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

Amount paid = 15 * 30%

Evaluate the products

Amount paid = 4.5

Hence, the amount paid is $4.5

Read more about sales and discounts at

https://brainly.com/question/7459025

#SPJ1

Answer: Quadrant 1, y-axis

Step-by-step explanation:

Using mathematical operation, the value of stock on Friday is $341.04

To find the value of the stock on Friday, the value of the stock on Monday is $24.42. Since he own 12 shares, we can multiply 12 by $24.42.

This can be done using a mathematical operation called multiplication.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

The value of the stock is 12 * 28.42 = 341.04

The stock value on Friday will $341.04

Learn more on multiplication here;

https://brainly.com/question/550188

#SPJ1

Answer:

Step-by-step explanation:

First, Amelia thinks of a number that is a factor of both 18 and 12. This number is odd, so it can't be a whole number. Next, Amelia has to find the largest number that is a factor of both 18 and her chosen number. This number is 36.

Answer:

  3

Step-by-step explanation:

You want the largest odd factor of both 18 and 12.

The greatest common divisor of both 18 and 12 is 6:

  18 = 3·6

  12 = 2·6

This is an even factor, which has two factors: 2 and 3. Only 3 is an odd factor of both 18 and 12.

The largest odd factor of both 18 and 12 is 3.

<95141404393>

The 90 % Prediction interval on the wall thickness of next bottle tested is (4.41, 4.99).

A prediction interval is a form of confidence interval (CI) used with regression analysis predictions; it is a range of values that forecasts the value of a new observation based on your existing model.

Confidence intervals and predictions are frequently used interchangeably. They are not exactly the same thing, though.

A confidence interval is a set of values connected to a population parameter. the population's mean, as an illustration.

Where you anticipate an upcoming number to fall is called a prediction interval.

The Interval Uncertainties

It doesn't imply that you can forecast with confidence where a single number will fall, just like with most things in statistics.

Confidence intervals are usually accompanied with a confidence level, which represents the amount of uncertainty.

How to solve?

X=4.7

s=0.7

n=25

The tabulated value of t at 24 degree of freedom is 2.06

t24=2.064

The 90 % Prediction interval on the wall thickness of next bottle tested is given by:

=(4.7±t24×0.7√25)

=(4.7−2.064×0.75,4.7+2.064×0.75)

=(4.7−0.28896,4.7+0.28896)

=(4.41,4.99)

To learn more about Prediction Interval, visit:

brainly.com/question/15076411

#SPJ4