Samuel rotated PLUTO 90° clockwise about the origin to generate P'L'U'T'O'.
with vertices at P (2,-3), L'(-2,-5), U'(-6,-1), T'(-2,3), and O'(1,1). What
are the coprdinates for PLUTO?​

FALSE. The number of degrees of freedom in cross-tabulation data is calculated by subtracting 1 from the product of the number of rows and columns.

Therefore, in this case, the number of degrees of freedom would be (3-1) x (4-1) = 6.

Degrees of freedom refer to the number of independent pieces of information in a data set, which can be used to calculate statistical significance and test hypotheses.

In cross-tabulation, degrees of freedom indicate the number of cells in the contingency table that are not predetermined by the row and column totals.

To learn more about : cross-tabulation

https://brainly.com/question/13513919

#SPJ8

Using the formula for area of rectangle and from the provided conditions,

The required expression is: (2*b+5)*b

A plane shape, as opposed to a square, with four straight sides and four right angles, particularly one with uneven neighboring sides.

The required expression is :

A = L* B

width = b

length = 2b+5

A = (2*b+5) * b

To learn more about rectangles visit :

https://brainly.com/question/29123947

#SPJ4

the customer saved 45% on the price of the radio compared to the original price.

25%

The original price of the radio = 100%

The 20% discount = 100%-20% = 80%

The 25% discount = 80%-25% = 55%

Overall percentage reduction = 100%-55% = 45%.

The original price of the radio was 100%. On the final day, the ale was discounted by 25%, which reduced the price to 80%. This was then further discounted by 20%, bringing the price to 55%. Therefore, the overall percentage reduction on the price of the radio was 45%. This means that the customer saved 45% on the price of the radio compared to the original price.

Learn more about price here

https://brainly.com/question/8082054

#SPJ4

The shortest total length of fence this can be done with will be 440 m as the total area is 2000 m².

The length of a shape's outline is its perimeter. You must add the lengths of all four sides of a rectangle or square to determine its perimeter. In this instance, x represents the rectangle's length and y its width. The distance around an object is called the perimeter. For instance, the yard of your home is fenced in. The fence's length serves as the perimeter. Your fence is 200 feet long if the yard is 50 feet by 50 feet.

Here,

The area=2000 m²

xy=2000

x=2000/y

p=4x+2y

p=4*(2000/y)+2y

=8000/y+2y

p'=-8000/y²+2

-8000/y²+2=0

2y²-8000=0

y²-4000=

y²=4000

y= 20 m

p=8000/20+2*20

p=400+40=440 m

Given that the total area is 2000 m², the shortest total length of fence that can be used is 440 m.

To know more about perimeter,

https://brainly.com/question/6465134?referrer=searchResults

#SPJ4

Answer:

1 620 minutes or 27 hrs

Step-by-step explanation:

look at attachment

If you are buying tickets for rides at a carnival. Tickets cost $2 each. you want to spend no more than $30 on tickets. The  inequality is 2x ≤ 30.

Let x represent the number of tickets you want to buy

Since the  cost of each ticket is $2 which implies that the total cost of "x" tickets can be calculated as 2x.

You  as well want to spend no more than $30 on tickets,

So the inequality is:

2x ≤ 30

According to this inequality the sum of the number of tickets (2x) and the product of 2 should be no greater than 30.

Therefore the inequality  is  2x ≤ 30.

Learn more about inequality here:https://brainly.com/question/30238989

#SPJ1

Answer:

To determine if the point (2, -8) is a solution to the system of inequalities:

y < x - 1 ----(1)

y > -x + 2 ----(2)

We need to check if the point (2, -8) satisfies both inequalities.

First, let's check inequality (1):

y < x - 1

Substituting x = 2 and y = -8, we get:

-8 < 2 - 1

-8 < 1

The inequality is true.

Now, let's check inequality (2):

y > -x + 2

Substituting x = 2 and y = -8, we get:

-8 > -2 + 2

-8 > 0

The inequality is false.

Since the point (2, -8) satisfies inequality (1) but not inequality (2), it is not a solution to the system of inequalities.

Therefore, the point (2, -8) is not a solution to the system of inequalities y < x - 1 and y > -x + 2.

A graph which shows the triangle when it is translated two units down include the following: D. On a coordinate plane, triangle A prime B prime C prime has points (2, negative 1), (2, negative 3), (0, negative 3).

In Mathematics, the translation a geometric figure or graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image or function.

Next, we would translate the parent graph of triangle ABC downward by two units;

(x , y)                             → (x, y - 2)

Coordinate A = (2, 1)   →    Coordinate A' (2, 1 - 2) = (2, -1)

Coordinate B = (0, -1)   →    Coordinate B' = (0, -1 - 2) = (0, -3)

Coordinate C = (2, -1)   →     Coordinate C' = (2, -1 - 2) = (2, -3)

Read more on translation here: https://brainly.com/question/24256387

#SPJ1

Answer:

C.

Step-by-step explanation:

edge 2023

The sine ratio of for angle A is 4/5 and the right option is B. 4/5.

Sine ratio is the ratio of the length of the opposite side divided by the length of the hypotenuse.

The formula for the sine ratio of angle A is given in the formula below

Formula:

From the diagram.

Given:

Substitute these values into equation 1

Hence, the right option is B. 4/5.

Learn more about Sine ratio here: https://brainly.com/question/30264534

#SPJ1

Complete Question:

A function is expressed by the equation y = 0.3x − 6. For what value of the independent variable will the value of the function be equal to −6; −3; 0?

Answer:

If the value of the function is equal to −6, the value of the independent variable is equal to 0. If the value of the function is equal to −3, the value of the independent variable is equal to 10. If the value of the function is equal to 0, the value of the independent variable is equal to 20.

Step-by-step explanation:

Given:

\( y = 0.3x - 6 \)

Required:

Find x, if y = -6; -3; and 0.

SOLUTION:

x = the independent variable

y = dependent variable

To find x (independent variable), when the value of the function (y) is -6, substitute y = -6 into the equation of the function:

\( y = 0.3x - 6 \)

\( -6 = 0.3x - 6 \)

\( -6 + 6 = 0.3x \) (addition property of equality)

\( 0 = 0.3x \)

\( \frac{0}{0.3} = \frac{0.3x}{0.3} \)

\( 0 = x \)

\( x = 0 \)

To find x (independent variable), when the value of the function (y) is -3, substitute y = -3 into the equation of the function:

\( y = 0.3x - 6 \)

\( -3 = 0.3x - 6 \)

\( -3 + 6 = 0.3x \) (addition property of equality)

\( 3 = 0.3x \)

\( \frac{3}{0.3} = \frac{0.3x}{0.3} \)

\( 10 = x \)

\( x = 10 \)

To find x (independent variable), when the value of the function (y) is 0, substitute y = 0 into the equation of the function:

\( y = 0.3x - 6 \)

\( 0 = 0.3x - 6 \)

\( 0 + 6 = 0.3x \) (addition property of equality)

\( 6 = 0.3x \)

\( \frac{6}{0.3} = \frac{0.3x}{0.3} \)

\( 20 = x \)

\( x = 20 \)

There is a change of 1/2 for Adam to get strictly more heads than Ben.

The likelihood that Ben will get more heads than Adam is equal to the likelihood that Ben will get more tails than Adam. (by symmetry)

If Ben and Adam each have n+1 (101) coins, then Ben will receive more heads or even more tails than B, but never both.

Considering (1) and (2), we find that there is a 50% chance that Adam will get more heads than Ben.

Thus, there is a change of 1/2 for Adam to get strictly more heads than Ben.

To know more about the probability, here

https://brainly.com/question/13604758

#SPJ4

Step-by-step explanation:

6x + 3 = 5x - 8

x = -11

Bring x terms to LHS and constant terms to RHS

Topic: Algebraic equations

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

Answer:

-11

Step-by-step explanation:

The probability that the artist chosen will be a painter or a photographer is 3/4

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

To solve this exercise the formula and the procedure that we have to use for probability is:

probability= (achieving success / possible outcomes)

Achieving success = 7 painters + 5 photographer = 12

Possible outcomes = 7 painters + 5 photographer + 4 sculptors = 16

Applying the formula to calculate the probability we get:

probability= (achieving success / possible outcomes)

probability= 12/16

Simplifying:

probability= 3/4

Learn more about probability at: brainly.com/question/251701

#SPJ4

The given information is,

→ Length (l) = 7 ft

→ Breadth (b) = 4 ft

→ Height (h) = 4 ft

Formula we use,

→ l × b × h

The volume of cuboid will be,

→ l × b × h

→ 7 × 4 × 4

→ [ 112 ft³ ]

Hence, the volume is 112 ft³.

The sine of 0 radians is 0.

In trigonometry, the sine of an angle is defined as the ratio of the length of the side opposite to the angle to the length of the hypotenuse of a right-angled triangle.

When the angle is 0 degrees (or 0 radians), the opposite side has a length of 0, and thus the ratio is also 0. Therefore, the sine of 0 radians is 0.

In a circle with the radius r, the horizontal axis x, and the vertical axis y, 0 is the angle formed by the two sides x and r; r moving counterclockwise is the positive angle.

Note that, the sine function maps an angle to a value which is between -1 and 1, with a periodic nature, meaning that the values repeat in a cycle as the angle increases.

Know more about sine here:

https://brainly.com/question/12595712

#SPJ11

Answer:

Yes, you have enought money

Step-by-step explanation:

45 times 107% (100 for the total cost and and 7 for the tax) is equal to 48.15. You have 50 dollars, therefore you can buy your shoes.

Answer:

1. the square root of 89 or 9.4

2. the square root of 197 or 14.0

X is the amount of time individual waits at the courthouse to be called for service. X-bar is the mean wait time for a sample of individuals.

What is a random variable?

A random variable is a mathematical representation of a quantity or object that is affected by random events. It is a mapping or function from possible outcomes in a sample space to a measurable space, which is frequently real numbers.

Assume a committee is investigating whether there is excessive time waste in our judicial system. It is curious about the average amount of time people spend at the courthouse waiting to be called for jury duty. The committee polled 81 people who had recently served as jurors at random. The average wait time for the sample was 4 hours, with a standard deviation of 1.2 hours. In words, define the random variables X and.

X is the amount of time individual waits at the courthouse to be called for service. is the mean wait time for a sample of individuals.

The random variable X is the amount of time for which each of the prospective jurors waits at the courthouse before being called for service. is the mean wait time for the given sample of individuals. In the case given,

Hence, X is the amount of time individual waits at the courthouse to be called for service. X-bar is the mean wait time for a sample of individuals.

To learn more about random variables, visit:

https://brainly.com/question/17217746

#SPJ4

Answer:

C. 212.57

Step-by-step explanation:

Based on the information given Yessenia’s monthly premium is: c. $212.57.

First step is to calculate the annual premium rate per face value

Annual premium rate per face value=$165,000/$1,000

Annual premium rate per face value=165

Second step is to calculate the monthly premium

Monthly premium=(15.46×165)/12

Monthly premium=$2,550.9

Monthly premium=212.57

Inconclusion Yessenia’s monthly premium is: c. $212.57.

Learn more about monthly premium here:https://brainly.com/question/2151013

Answer:

500,200,12,52 this is how you write those numbers

Rounding this to two decimal places, the equivalent nominal interest rate compounded monthly is approximately 2.53%.

To determine the equivalent nominal interest rate compounded monthly for a given nominal interest rate compounded quarterly, we can use the formula for nominal interest rate conversion.

The formula is:

r = (1 + i/n)^n - 1

Where:

r is the nominal interest rate compounded annually (we're looking for this),

i is the nominal interest rate compounded quarterly (2.50% in this case),

n is the number of compounding periods per year (4 for quarterly compounding).

Plugging in the values, we have:

r = (1 + 0.025/4)^4 - 1

Calculating this expression, we find:

r ≈ 0.025335

Rounding this to two decimal places, the equivalent nominal interest rate compounded monthly is approximately 2.53%.

Learn more about conversion:https://brainly.com/question/97386

#SPJ11

Answer:

2.60

Step-by-step explanation:

25+68+147=240

500-240=260

turn into pounds 2.60

Question 1Part A:Total length of two sides, 1 and 2, of the triangle can be found by adding side 1 and side 2 of the triangle which is:(3x2 − 2x − 1) + (9x + 2x2 − 3)Combining like terms:2x2 + 3x − 4Thus, the total length of the two sides is 2x² + 3x - 4.Part B:

The length of the third side of the triangle can be found by using the formula of perimeter of a triangle which states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side:5x³ + 4x² − x − 3 > 2x² + 3x - 4By combining like terms:5x³ + 2x² + 2x - 1 > 0Then solve for x: x > -1/5 Thus, the polynomial for the length of the third side is: 5x³ + 2x² + 2x - 1. Part C: The polynomials are closed under addition and subtraction because the sum and difference of the two polynomials is also a polynomial.

Thus, the answer for part A and part B show that the polynomials are closed under addition and subtraction.Question 2Part A:The expression that represents the area of the rectangle is given by the product of the length and width of the rectangle. So, the area of the rectangle is:(4x + 5)(3x + 10)Which simplifies to:12x² + 55x + 50Part B:The degree of the polynomial obtained in part A is 2, and the classification is quadratic.

Part C:Part A demonstrates the closure property for polynomials as the product of two polynomials of degree one has created a polynomial of degree two, thereby showing that the polynomials are closed under multiplication.

To know more about Combining visit :

https://brainly.com/question/31596715

#SPJ11

Answer:

35

Step-by-step explanation:

The solution to the vector-valued differential equation is: r(t) = \((8 * e^{(5t)}, 2 * e^{(5t)}, 6 * e^{(5t)})\). The general solution can be found by using the exponential function.

To find the solution of the given differential equation r'(t) = 5r(t) with initial condition r(0) = (8, 2, 6), we first recognize that this is a first-order linear homogeneous differential equation.
Let r(t) = (x(t), y(t), z(t)). Then, we have the following three scalar differential equations:
1. x'(t) = 5x(t)
2. y'(t) = 5y(t)
3. z'(t) = 5z(t)
Now, we can solve each equation individually:
1. x(t) = x(0) * \(e^{(5t)}\) = 8 * \(e^{(5t)}\)
2. y(t) = y(0) * \(e^{(5t)}\) = 2 * \(e^{(5t)}\)
3. z(t) = z(0) * \(e^{(5t)}\) = 6 * \(e^{(5t)}\)
Thus, the solution to the vector-valued differential equation is:
r(t) = \((8 * e^{(5t)}, 2 * e^{(5t)}, 6 * e^{(5t)})\)

To learn more about the differential equation, refer:-

https://brainly.com/question/31583235

#SPJ11

Answer:

4 1/6 or 4 2/12 pounds

Step-by-step explanation:

Answer:

pog

Step-by-step explanation: