Figure R S T U V is reflected across a point of reflection n to form R prime S prime T prime U prime V prime. Figure R prime S prime T prime U prime V prime is rotated 270 degrees about point P to form R double-prime S double-prime T double-prime U double-prime V double-prime
Which composition of transformations maps figure RSTUV to figure R"S"T"U"V"?

a reflection across line n followed by a translation down and to the right
a reflection across line n followed by a 270° rotation about point P
a translation down followed by a 270° rotation about point P
a translation down followed by a reflection across line n

Therefore, we need 40 workers to complete the work in 15 days.

Let's assume that the amount of work required to build the house is the same, regardless of the number of workers. This means that the number of workers and the time required to complete the work are inversely proportional to each other. We can use the following formula:

n1 × d1 = n2 × d2

where n1 is the initial number of workers, d1 is the initial number of days, n2 is the new number of workers, and d2 is the new number of days.

Substituting the given values, we get:

20 × 30 = n2 × 15

Simplifying the equation, we get:

n2 = (20 × 30) ÷ 15

n2 = 40

To know more about equation,

https://brainly.com/question/28243079

#SPJ11

Answer:

This statement is true.

In the simplex method, choosing the pivot row involves selecting a row with a negative value in the right-hand column and dividing the elements in the last column by the corresponding elements in the selected row to obtain the ratios. The row with the smallest non-negative ratio is then chosen as the pivot row.

By choosing the pivot row in this way, we ensure that the new solution will still be feasible, meaning that all the constraints will still be satisfied. This is because choosing the smallest non-negative ratio ensures that the new solution will not violate any of the non-negativity constraints.

Therefore, requiring that the ratio associated with the pivot row be the smallest non-negative number is an important step in the simplex method to ensure that the iteration will not take us from a feasible point to a non-feasible point.

Step-by-step explanation:

This statement is true when using the simplex method to solve a linear programming problem.

In the simplex method, we start with a feasible solution and iteratively improve it until we reach an optimal solution. At each iteration, we choose a pivot row and a pivot column to pivot around. The pivot row is chosen based on the ratio of the right-hand side value to the coefficient of the entering variable in that row. This ratio is called the pivot ratio.

Choosing the pivot row with the smallest non-negative pivot ratio ensures that we pivot to a new feasible solution. This is because the pivot row represents a constraint in the linear programming problem, and the pivot ratio represents how much we can increase the value of the entering variable while still satisfying that constraint. If the pivot ratio is negative, it means that increasing the entering variable would violate the corresponding constraint, and so we cannot pivot in that direction.

Therefore, by choosing the pivot row with the smallest non-negative pivot ratio, we ensure that we pivot in a direction that preserves feasibility and does not take us to a non-feasible point.

Visit to know more about Simplex method:-

brainly.com/question/30387091

#SPJ11

Answer:

$39.75

Step-by-step explanation:

First, you find the tax by dividing the cost of the plate by 100, and then multiplying your answer by the tax, 6.:

375/100 = 3.75

3.75*6 = 22.5.

Then add the shipping charges, 375 + 22.5 = 397.5. This is the total cost. SInce Frank sold the plate three years later for 10% more than the total cost, you find 10% of the total cost, and then add that 10% to $397.5

397.5/100 = 3.975

3.975*10 = 39.75

39.75 + 397.5 = 437.25.

To find the profit, subtract 397.5 from $437.25:

437.25 - 397.5 = 39.75.

The total profit is $39.75

The amount of mesh required is: 1686.24cm²

The volume is: 5934.66cm³cm³

To calculate the amount of mesh we say

L = πrℓ

where r is the radius of the base, ℓ is the generatrix, and π is approximately 3.14.

Given the diameter of the cone, we can calculate the radius as follows

r = d/2 = 22/2 = 11 cm

We are also given that the generatrix ℓ is 48 cm.

Therefore, the lateral surface area of the cone i is

L = πrℓ = 3.14 x 11 x 48 = 1657.92cm²

To find the volume of the cone, we can use the formula

V = (1/3)πr²h

where h is the height of the cone.

We can use the Pythagorn theorem to find the height of the cone as shown below

h² = ℓ² - r²

h² = 48² - 11²

h² = 2197

h = √2197

h ≈ 46.86 cm

Now we can find the volume of the cone whic is

V = (1/3)πr²h = (1/3) x 3.14 x 11² x 46.86 ≈ 5934.66cm³

Learn more about volume:
https://brainly.com/question/13338592
#SPJ4

Translation:

Calculate the amount of mesh we will need to build a cone-shaped strainer with a diameter of 22cm and a generatrix of 48cm. What is its volume?

Answer:

2,200 cm²

Step-by-step explanation:

The surface area equation:

[tex]SA=2lw+2lh+2wh[/tex]

substitute in our given values:

[tex]SA=2(90)(2)+2(90)(10)+2(2)(10)\\=2200\\[/tex]

The surface area is 2,200

hope this helps :)

Answer:

x=36 y=71

Step-by-step explanation:

for x use the Z alternate angle

for y use 180 -73-36=71

Answer: 1,800 people said they like playing golf

Step-by-step explanation:

    First, we will turn 60% into a decimal. A percent divided by 100 becomes a decimal.

60% / 100 = 0.6

    Next, "of" means multiplication in terms of mathematics. We will multiply 3,000 by 0.6.

3,000 * 0.6 = 1,800 people

Answer:

2/3.

Step-by-step explanation:

Total number of possible outcomes on one spin = 9.

Total of non multiples of 3:

1, 2, 4, 5,7 and 8

= 6

Answer is 6/9 = 2/3.

Answer:

B. 2/3

Step-by-step explanation:

Probability is written like a fraction where on the bottom you have ALL the possibilities. There's 9 numbers on the spinner, so there's a total of 9 different ways for it to land.

9 ways total. That goes on the bottom of the fraction.

On top of the fraction you put however many number of ways the event in question can happen. That goes on top.

A multiple of three is 3, 6, 9. There are 3 ways the spinner can land on a multiple of three. So there are 6 ways to land on NOT a multiple of three (1, 2, 4, 5, 7, 8) 6 ways, so 6 goes on top.

6/9 is the answer. But always simplify fractions first, like you do.

6/9 simplifies to 2/3

The answer is

B. 2/3

The correct option is D, Per the Central Limit Theorem the mean of the sampling distribution of the sample mean is equal to the population Mean.

The Central Limit Theorem (CLT) is a fundamental concept in probability theory and statistics. It states that if you take repeated random samples of a population, the sample means will follow a normal distribution, regardless of the shape of the population distribution, provided the sample size is large enough. This means that as the sample size increases, the sample mean becomes more and more normally distributed.

The CLT is important because it helps us to understand the properties of large samples, even when the population is not normally distributed. It is used in many areas of research, including social sciences, finance, engineering, and more. The theorem provides a powerful tool for estimating population parameters, such as the mean or variance, and for testing hypotheses about them. It also helps to explain why the normal distribution is so commonly observed in real-world data, and why it is often used as a model for statistical analysis.

To learn more about Central Limit Theorem visit here:

brainly.com/question/30764658

#SPJ4

Complete Question:-

Per the Central Limit Theorem the mean of the sampling distribution of the sample mean is equal to the population:

a. Standard deviation divided by n

b. Mean divided by n

c. Standard Deviation divided by the square root of n

d. Mean

First, we need to convert feet to miles and seconds to hours.

1 mile is equal to 5280 feet.

So, 1716 feet is equal to (1716/5280) miles or 0.325 miles.

1 hour is equal to 3600 seconds.

So, 3 seconds is equal to (3/3600) hours or 0.00083333 hours.

Now we can calculate the speed of the plane in miles per hour by using the formula:

Speed (in miles per hour) = Distance (in miles) / Time (in hours)

Speed = 0.325 miles / 0.00083333 hours

Speed = 390 miles per hour (rounded to the nearest whole number)

Therefore, the speed of the plane is 390 miles per hour.

The apple will be at the same height of 20ft as the construction worker at t = 3/4sec and t = 5/4sec.

It is given that h = -16t^2 + vt +c

v = 32ft/sec , c = 5ft , h =20ft

So plugging in these values into the formula we have

20 = -16t^2 + 32t + 5

[tex]$\Rightarrow 16t^2 -32t + 15 =0[/tex]

[tex]$\Rightarrow 16t^2 -20t - 12t + 15 =0[/tex]

[tex]$\Rightarrow 4t(4t - 5) -3(4t - 5) = 0[/tex][tex]$\,\,\,\Rightarrow (4t-3)(4t-5) = 0[/tex][tex]$\Rightarrow 4t-3 =0 \Rightarrow t = 3/4\,\,\textrm{ and } \,\, 4t-5 =0 \Rightarrow t = 5/4[/tex]

So t = 3/4 and at t = 5/4 are two times when the apple will be at an elevation of h = 20ft.

The motion of an object launched into free motion under gravity is called projectile motion. During this motion, the only force acting on the object is gravity, whose value is -32ft/sec^2. During this motion, the y coordinate is given by [tex]y = u_yt -(1/2)gt^2 + y_0 = u_yt - 16t^2 + y_0[/tex]. here  [tex]u_y[/tex] is the vertical component of the initial velocity and [tex]y_0[/tex] is the initial y coordinate. The value of the x coordinate is given by [tex]x = u_xt[/tex], where [tex]u_x[/tex] is the horizontal component of the initial velocity.

To know more about projectile motion, visit:

https://brainly.com/question/29761109

#SPJ1

Answer:

577.76

Step-by-step explanation:

we know formula for volumne of cylinder

pie × square of radius × height

that is = 3.14× 8^2 × 23

that is = 577.76

Answer: no

Step-by-step explanation:

The required simplified value of x is x > 6 or x ≤ -1.

We have two inequalities here:
5x - 10 > 20 or 5x - 10 ≤ -15

We can start by solving the first inequality:

5x - 10 > 20

5x > 30

x > 6

So x is greater than 6 for the first inequality to hold.

Next, we can solve the second inequality:

5x - 10 ≤ -15

5x ≤ -5

x ≤ -1

So x is less than or equal to -1 for the second inequality to hold.

Putting it all together, the solution to the system of inequalities is:

x > 6 or x ≤ -1

Learn more about solutions to inequality here:

https://brainly.com/question/22010462

#SPJ1

Answer: Always True

Step-by-step explanation:

Answer:

The answer for

x=35

y=15

Step-by-step explanation:

let the first number be x

" second number " be y

x:y=7:3

x-y=20

x=20+y

x:y=7:3

20+y/y=7/3

7y=3(20+y)

7y=60+3y

7y-3y=60

4y=60

divide both sides by 4

y=15

x=20+y

x=20+15

x=35

The vocabulary for the segment "a" is apothem and the area of polygon with five sides is equal to 216 in² to the nearest tenth.

The area of a regular polygon is half the multiple of its apothem and the perimeter

A polygon with five sides will have its area calculated as follows:

apothem = 5√3 in

perimeter = 5 × 10 in = 50 in

Area of the pentagon = (1/2 × 5√3 × 50) in²

Area of the pentagon = (5√3 × 25) in²

Area of the pentagon = 216 in²

Therefore, the area of polygon with five sides is equal to 216 in² to the nearest tenth. And the vocabulary for the segment "a" is apothem .

Read more about area here:https://brainly.com/question/27440983

#SPJ1

Answer:

Parallelogram

Step-by-step explanation:

the quadrilateral is most specifically a parallelogram because

• Opposite sides are parallel

• Opposite angles are congruent

At 100°C, the nitrogen molecules in the container have an rms speed of 576 m/s. The pressure inside the container,

which is at a pressure of 2.4 atm, is a result of the collisions of these fast-moving molecules with the walls of the container. The area of the wall is 13 cm x 13 cm, which means there is a total surface area of 169 cm^2.

The collisions of the nitrogen molecules with this surface area will result in a force on the wall, which is what creates the pressure.

Overall, the properties of the nitrogen molecules, including their speed and number, contribute to the overall pressure inside the container.

To know more about area click here

brainly.com/question/13194650

#SPJ11

The value of length BC is 1.7.

option A.

The value of length BC is calculated by applying the formula for trig ratios.

SOH CAH TOA

SOH = sin θ = opposite /hypothenuse side

TOA = tan θ = opposite side / adjacent side

CAH = cos θ = adjacent side / hypothenuse side

The hypothenuse side is given and the value of BC is calculated as follows;

sin 25 = x/4

x = 4 sin (25)

x = 1.7

Learn more about trig ratios here: https://brainly.com/question/10417664

#SPJ1

The median of the given data is 131, which is the average of the two middle values of the box plot range.

The given box-and-whisker plot represents the average speed of a certain car for several laps. The median value is the middle value of the data when it is arranged in ascending or descending order. In this case, the median is the value that divides the box into two equal halves.

Since the box plot range is from 126 to 131 and 131 to 135, the median value would be the average of the two middle values, which are 131 and 131. Therefore, the median of the given data is (131+131)/2 = 131.

To know more about median:

https://brainly.com/question/28060453

#SPJ4

The correlation between the distance a student sits from the front of the room and their grades in the course is a negative correlation.

Negative correlation is a type of correlation where one variable increases while the other variable decreases. In this case, as the distance of a student in the class increasing, the grades of the student in decreasing.

This shows that distance and grades may not correlate favorably. The professor's discovery of a negative association may therefore reflect the reality that students become less attentive as they grow farther away from their teachers.

To know more about negative correlations, visit,

https://brainly.com/question/16913516

#SPJ4

The expected value of W is Php 4.96. This means that on average, a person who buys a 20-peso raffle ticket from a total of 1000 tickets has a chance to gain Php 4.96 from the raffle.

To find the expected value of W, we need to calculate the probability of each possible outcome and multiply it by its corresponding value.

The cost of a ticket is Php 20, and there are 1000 tickets sold, so the total revenue is 1000 x 20 = Php 20,000.

The probability of winning the raffle is 1/1000, and the prize money is Php 5000. So, the value of W in this case is 5000 - 20 = Php 4980.

The probability of losing the raffle is 999/1000, and the value of W in this case is -20.

So, the expected value of W can be calculated as follows

E(W) = (1/1000) x 4980 + (999/1000) x (-20)

E(W) = 4.98 - 0.02

E(W) = 4.96

Therefore, the expected value of W is Php 4.96.

To know more about expected value:

https://brainly.com/question/29574962

#SPJ4

--The given question is incomplete, the complete question is given

" The random variable W represents the amount gain by a person who buys a 20-pesos ticket from the total of 1000 tickets for a raffle whose winner will obtain Php 5,000.00.  what is the expected value of w ?"--

The number of 2-pointers and 3-pointers are 11 and 4, respectively

Given that the pointers are 2 and 3 where

Let x = 2 pointers

Let y = 3 pointers

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

2x + 3y = 34

x + y = 15

Multiply the second equation by 2

So, we have

2x + 3y = 34

2x + 2y = 30

Subtract the equations

y = 4

Recall that

x + y = 15

So, we have

x + 4 = 15

Evaluate

x = 11

Hence, the number of 2-pointers is 11

Read more about system of equations at

https://brainly.com/question/13729904

#SPJ1

To find the area of the tile, we need to first find the length of the top horizontal side.

Using the Pythagorean theorem, we can find the length of the diagonal:

d² = 3² + (5+6)²

d² = 9 + 121

d = √130

Now we can use the fact that the diagonal cuts the rectangle into two right triangles to find the length of the top horizontal side:

5x = 3(6)

x = 18/5

Therefore, the length of the top horizontal side is 18/5 centimeters.

Now we can find the area of the tile:

A = (3 + 18/5) * 5/2

A = 15 + 27/5

A = 102/5

Rounding to one decimal place, we get:

A ≈ 20.4 cm²

Therefore, the closest option to the area of the tile shown is 42.5 cm².

A team which had the best overall record for the season and the best measure of center to compare include the following: B. Falcons; they have a larger median value of 24 points

In Mathematics and Geometry, a median refers to the middle number (center) of a sorted data set, which is when the data set is either arranged in a descending order from the greatest to least or an ascending order the least to greatest.

From the data set for Eagles, we have:

3, 24, 14, 27, 10, 13, 10, 21, 24, 17, 27, 7, 40, 37, 55

Mean of Eagles = [3 +24+ 14 +27 +10+ 13+ 10 +21 +24+ 17+ 27+ 7+ 40+ 37 +55]/15

Mean of Eagles = 329/15

Mean of Eagles = 21.93 ≈ 22.

Median of Eagles = 21.

Median of Falcons = 24.

Since Falcons have both a larger mean and median value, the best measure of center to compare would is the mean.

Read more on median here: brainly.com/question/452652

#SPJ1

The percent increase in the number of subscribers this year as compare to last year is equal to 12%.

Total number of subscribers last year = 6,100

Total number of subscribers this year = 6,832

The percent increase in the number of subscribers,

=  Difference between number of subscribers this year and last year / number of subscribers last year multiply by 100

The difference between this year's and last year's subscribers is equal to

= 6,832 - 6,100

= 732

The percent increase in the subscribers this year compare to last year is,

= (732 / 6,100) x 100

= 0.12  x 100

= 12%

Therefore, the percent increase in the number of subscribers is 12%.

Learn more about percent here

brainly.com/question/30314611

#SPJ4

- Let x be the width of the page in inches.

- Then the length of the page is 1.24x inches.

- The area of the page is x * 1.24x = 1.24x^2 square inches.

- We know that the area is about 621.96 square inches, so we can set up an equation:

- 1.24x^2 = 621.96

- To solve for x, we need to divide both sides by 1.24 and then take the square root:

- x = sqrt(621.96 / 1.24)

- x = sqrt(501.58)

- x = 22.4 (rounded to one decimal place)

- Therefore, the width of the page is about **22.4 inches**.

- The length of the page is 1.24 * 22.4 = 27.8 (rounded to one decimal place)

- Therefore, the length of the page is about **27.8 inches**.

I hope this helps you understand how to solve this problem.

The probability distribution to use in this problem is the binomial distribution and the probability of success is the probability of selecting a woman, which is 4/10.

The probability distribution that should be used to solve the problem of selecting at least one woman from a group of four women and six men for two executive vacancies is the binomial distribution.

The binomial distribution formula is used to calculate the probability of getting a certain number of successes in a fixed number of trials, given the probability of success in each trial. In this case, the probability of success is the probability of selecting a woman, which is 4/10.

Learn more about probability distribution at

https://brainly.com/question/14210034

#SPJ4