four ambassadors and one advisor for each of them are to be seated at a round table with 12 chairs numbered in order 1 to 12. each ambassador must sit in an even-numbered chair. each advisor must sit in a chair adjacent to his or her ambassador. there are $n$ ways for the 8 people to be seated at the table under these conditions. find the remainder when $n$ is divided by $1000$.

A controlled experiment is a scientific test conducted under controlled conditions. That is, change only one (or a few) factors at a time and keep all others constant.

Control Experiment:

Controls eliminate alternative explanations for experimental results, particularly experimental error and experimenter bias. Many controls, like molecular markers used in SDS-PAGE experiments, are specific to the type of experiment being performed and may simply have the purpose of confirming that the instrument is functioning properly. I have. Choosing and using appropriate controls and ensuring that experimental results are valid (eg, no confounding variables) can be very difficult. Control measurements can also be used for other purposes. For example, measuring the background noise of a microphone in the absence of a signal allows the noise to be subtracted from later signal measurements to produce a higher quality processed signal.

For example, if a researcher fed a laboratory artificial sweetener to 60 laboratory rats and observed that 10 of them subsequently became ill, the underlying cause could be the sweetener itself or could be something else. Other variables that may not be immediately apparent can interfere with experimental design. For example, an artificial sweetener can be mixed with a diluent, and it could be the diluent that causes the effect.To see the effect of the diluent, he does the same test twice. A diluent with artificial sweeteners and a diluent-only version in the same way. Here the experiment is checked for diluent and the experimenter can distinguish between sweetener, diluent and no treatment. Controls are usually required when confounding factors cannot be easily separated from the primary treatment. For example, a tractor may need to be used to spread manure when there is no other practical way to spread it. The simplest solution is for the tractor to drive over the plot without spreading fertilizer and control the effects of tractor traffic.

The simplest types of controls are negative and positive controls, both of which are found in many different types of experiments. If both are successful, these two controls usually have the most latency. sufficient to eliminate significant confounding variables. That is, an experiment produces a negative result when a negative result is expected and a positive result when a positive result is expected.

Learn more about Control Experiments:

https://brainly.com/question/16171570

#SPJ4

Answer: y=18

Step-by-step explanation:

The equation that has 2 as its root is 2x² - 7x + 6 = 0 (option A)

The roots of a quadratic equation is equal to its solution.

If x = 2 is the solution of an equation, then f(2) = 0.

Let's check for the given functions:

A. 2x² - 7x + 6 = 0

f(2) = 2(2)² - 7(2)+ 6

f(2) = 2(4) - 14 + 6 = 0

Hence, x = 2 is its root.

B.  x² - 4x + 5 = 0

f(2) =  2² - 4(2) + 5

f(2) = 4 - 8 + 5 = 1

Since f(2) ≠ 0, hence 2 is not its root.

C. x² + 3x - 12 = 0

f(2) = 2² + 3(2) - 12

f(2) = 4 + 6 - 12 = -2

Since f(2) ≠ 0, hence 2 is not its root.

D. 3x² - 6x - 2 = 0

f(2) = 3(2)² - 6(2) - 2

f(2) = 12 - 12 - 2 = -2

Since f(2) ≠ 0, hence 2 is not its root.

Hence, the correct option is A.  2x² - 7x + 6 = 0

Learn more about quadratic equation here:

https://brainly.com/question/24334139

#SPJ4

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other

What is an equivalent ratios?

A ratio compares two quantities named as antecedent and consequent, by the means of division. For example, when we cook food, then each ingredient has to be added in a ratio. Thus, we can say, a ratio is used to express one quantity as a fraction of another quantity.

Two ratios are equivalent to each other if one of them can be expressed as the multiple of the other. Hence, to get the equivalent ratio of another ratio, we have to multiply the two quantities (antecedent and consequent) by the same number.

Given ratios are 2:1 and 3:1

we can write it as 2/1 and 3/1.

The lcm of 2 and 3 is 6.

Multiply denominator of both ratio with 6, we get

2/6 and 3/6 And we can see both the ratios are not equal.

Hence, there are not equivalent ratios.

4:1 and 8:3 are equivalent ratios -----> is false, because 4:1 is equivalent to 8:2

11:2 and 2:11 are equivalent ratios------> is false (because, are reciprocal ratios, not equivalent ratios)

3:1 and 9:3 are equivalent ratios ------> is true

because 3:1 multiply both sides by 3 -----> 3*3:1*3=9:3

learn more about of ratio here

brainly.com/question/29201784

#SPJ4

A formula answer is a mathematical expression or equation that provides a specific result or solution to a problem.

A formula is a mathematical equation or expression, or a set of them, which is used to calculate or predict a specific result or solution. They often involve a combination of numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.

Formulas can be used in a wide range of fields such as science, engineering, finance, and statistics to make calculations and predictions based on known information. They can also be used to simplify complex calculations or to express complex relationships in a clear and concise way. They can be simple or complex, and are often represented using mathematical notation such as equations or graphs.

One example of a formula is the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

The formula for the Pythagorean theorem is: c^2 = a^2 + b^2 where c is the length of the hypotenuse and a and b are the lengths of the other two sides. This formula can be used to calculate the length of the hypotenuse in a right-angled triangle, given the lengths of the other two sides.

Learn more about Formula answer here:

https://brainly.com/question/30098455

#SPJ4

As per the concept of integration, the value of the function [tex].\int_{5}^{x}u^{3} du[/tex] is [(x⁴/4) - (625/4)]

The term integration in math is defined as the method of adding or summing up the parts to find the whole and the reverse process of differentiation that is we reduce the functions into parts.

Here we have given that [tex].\int_{5}^{x}u^{3} du[/tex]

And now we have to perform the integration operation on it and then we have to find the simplified version of the function.

As we all know the formula of the integration concept, that is written as,

=> [tex]\int {x^{n}} \, dx =\frac{x^{n+1}}{n+1}[/tex]

Based on these details, we have simplify the expression as,

[tex]= > \mathrm{[\frac{u^{4}}{4}]}_{5}^{x}[/tex]

Now, we have to apply the value of u with the given limit values, then we get the expression like the following,

=> [(x⁴/4) - (5⁴/4)]

When we simplify this one then we get,

=> [(x⁴/4) - (625/4)]

To know more about integration here.

https://brainly.com/question/18125359

#SPJ4

The Venn diagram that indicates the number of students that study a language and the probability of two student chosen study Spanish are as follows;

a) Please find attached the drawing of the completed Venn diagram created with MS Word

b) The probability that two student chosen at random study Spanish is 17/66

The probability of the occurrence of an event is the likelihood that an event takes place from within a number of possible event.

The probability that two student

a) The number of students that study French and Spanish but not German = 18 - 13 = 5

The number of students that study only French = 0

The number of student that study only French and German = 25 - 13 - 5 = 7

Number of students that study only only German = 40 - 19 - 13 - 7 = 1

The number of students that study only Spanish = 100 - 19 - 13 - 5 - 1 - 7 - 41 = 14

Please find attached the completed Venn diagram created with MS Word

b) The number of students that study Spanish = 19 + 13 + 5 + 14 = 51

The probability that the first student chosen studies Spanish = 51/100

The probability that the second student chosen = 50/99

Therefore, the probability that the two student chosen at random, without replacement, study Spanish = (51/100) × (50/99) = 17/66

Learn more about Venn diagrams here: https://brainly.com/question/2099071

#SPJ1

The size of the random sample needed to obtain a margin of error of at most 0.03 with 95% confidence would be around 1,912 people.

Error in math is a mistake made in a mathematical process or calculation. It can be caused by a single incorrect step or an incorrect understanding of a concept. Error in math can take many forms, such as incorrect answers, incorrect equations, wrong calculations, and incorrect logic. It is important to identify and address errors in math in order to get the correct answer or solution.

This is because the formula for calculating the sample size for a given margin of error is:

Sample size = (Zα/2)2 * p*(1-p) / m2

Where Zα/2 is the critical value for a 95% confidence level (1.96), p is the estimated proportion of the population that doesn’t like cilantro (34%), and m is the margin of error (0.03).

To know more about error click-
https://brainly.com/question/28001423
#SPJ4

The required number of points win by the player on correctly solve the puzzle are 1176.

Games referred to as "online" are those that are played through a computer network, most frequently the Internet. Online games can range from straightforward text-based games to those with intricate visuals and multiplayer virtual worlds.

Player is getting 12 points on correctly solving the puzzle,

He plays 98 puzzle games,

Total number of points

98(12)

= 1176 points

Thus, required number of winning points are 1176.

To know more about Multiplication visit:

brainly.com/question/5992872

#SPJ4

Answer:

The function f(x) = x^0 when x = 129 would be equal to 1.

The exponent of 0 for any value of x, means that the result will always be 1.

Answer:

well my sweet wife

any thing with power zero always equal to 1.

Answer:

Step-by-step explanation:

Let the height be h units

then the base is h+3 units

Area = (1/2)(base)(height)

= (1/2)(h)(h+3) or (1/2)(h^2 + 3h)

Managers must make all the given vital decisions from the options, hence, d) All of the above is the correct answer.

Managers must make a number of important decisions about the use of control charts, some of which include:

These are all important decisions that managers need to make when using control charts to monitor and improve processes in an organization. The right decisions can help ensure that control charts are effective in detecting and addressing issues with processes, while the wrong decisions can lead to control charts being ineffective or even counterproductive.

Read more about managers:

brainly.com/question/24553900

#SPJ4

The complete question is -

Managers must make a number of important decisions about the use of control charts. what are they?

multiple select questions.

a) what size samples to take and how often samples should be taken.

b) how many control charts to use to monitor the process.

c) what type of control chart to use.

d) what tools to use to take measurements at what points in the process to use control charts.

e) All of the above.

Answer: 20

Step-by-step explanation:

I expect the histogram be symmetric because, the trees are same species and all are planted at the same time.

The given information is:

Suppose that someone sampled 100 palm trees of the same species, all planted at the same time.

They recorded the height for each tree.

To find the what shape expect the histogram of this data to be?

Now, According to the question:

I expect the histogram be symmetric because, the trees are same species and all are planted at the same time.

There is no tree treated differently during planting or affected by an isolated factor.  

Therefore, we should expect the differences in the height of the trees has a normal distribution.

Learn more about Histogram at:

https://brainly.com/question/16819077

#SPJ4

Answer: A

Step-by-step explanation:

A.

It makes an AA similarity(both share 1 angle, and both have right angles)

The total number of sides and diagonals for a polygon with n sides is given by the equation n(n - 3)/2.

In geometry, a polygon is a two-dimensional closed object with straight sides that is flat or planar. It doesn't have any curved edges. A polygon's sides are also known as its edges. The vertices (or corners) of a polygon are the spots where two sides meet.

Here,

A square has 4 sides and 2 diagonals.

Now, a pentagon will have 5 sides and 5 diagonals

A hexagonal when drawn will have 6 sides and 9 diagonals

Thus, we see that;

When n = 4, d = 2

When n = 5, d = 5

When n = 6, d = 9

Using combination, we will find number of pairs of 2 vertices that can possibly be formed from n-vertices. Thereafter we will subtract n from that since it's neighboring vertices can't combine with the current one.

Thus, we have;

C(n, 2) - n

This gives s;

(n(n-1)/2) - n

Simplifying this gives;

(n(n - 1) - 2n)/2

(n² - n - 2n)/2

(n² - 3n)/2

n(n - 3)/2

The expression that would give you the total number of sides and diagonals for a polygon with n sides is n(n - 3)/2.

To know more about polygons,

https://brainly.com/question/23366307

#SPJ4

The combination is the way to find a number of different committees. The different number of committees is 120.

What is the combination?

A combination is a method of selecting items from a collection where the order of selection is irrelevant.

The combination is defined as "an arrangement of objects in which the order in which the objects are chosen is unimportant." The combination means "selection of things," where the order is irrelevant.

Given that the total number of teachers is 10.

The number of members of the committee is 3.

The formula of combination is nCr = n!/[r!(n-r)!]

Where n is the total number of objects and r is the number of objects those are selected.

In the question, n=10, r=3

The different committees is ₁₀C₃

=10!/3!(10-3)!

=10!/3!7!

=120

To learn more about permutation and combination, click on the below link:

https://brainly.com/question/28965250

#SPJ4

The number of ways that can she rank 9 applications should be 126.

What is the definition of combination in math?

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.

Calculation of the number of ways:

Since A manager receives 9 applications for a specific position. She wants to narrow it down to 4.

So here we do apply the permutation here:

9*8*7*6/ 4*3*2

=126

Hence, The number of ways that can she rank 4 applications should be 126

Learn more about ways here:

brainly.com/question/18988173

#SPJ4

The starting value of the noisy at the y-axis is represented by the equation's 22.7 y-intercept.

To calculate the % slope, multiply the percent elevation difference between two locations by the distance between them. The change in grade between two places is referred to as a "rise." The distance between the sites is known as the run. Therefore, the formula for percent slope is (increase/jog) x 100.

Given that such scatter plot depicts the stadium's loudest conditions depending on the amount of spectators present The linear model is provided more by equation y=1.5x+22.7, where x is the number of spectators in the stadium, expressed in thousands, and y is the maximum noise level. y=1.5x+22.7

y=1.5x+22.7 is the expression for the highest noise. The gradient in the following equation is 1.5. The starting value of such noise somewhere at y-axis is represented by the y-intercept of something like the equation, which is 22.7.

To know more about Slope visit:

https://brainly.com/question/16949303

#SPJ4

Each goldfish cost less than $3.

Now, According to the question:

As per the question information:

Tyrone went to the pet store to buy 5 goldfish for his fish tank.

He spent less than $15 in all to buy the fish.

Let x represent how much each goldfish cost.

which inequality describes the problem?

5x < 15 ,    5x ≤ 15

To solve the inequality :

Based on the given condition :

Formulate:

x = 15 ÷ 5

Reduce the fraction :

x = 3

Hence, Each goldfish cost less than $3.

Learn more about Inequality at:

https://brainly.com/question/30231190

#SPJ4

The given question is incomplete, the complete is :

Tyrone went to the pet store to buy $5 goldfish for his fish tank. He spent less than$15  in all to buy the fish. Let x represent how much each goldfish cost. Which inequality describes the problem?

5x < 15 ,    5x ≤ 15

Solve the inequality. Then, complete the sentence to describe the solution. Each goldfish cost less than $

The possible values of the given expression are defined by the inequality below.

1/5 < b/2a < 1/2

Here we want to get the possible values of the expression below:

b/2a

Where we have the restrictions:

4 < a < 5

2 < b < 4

The minimum value of the expression is when a takes it maximum value, and b takes its minimum value, it gives:

2/(2*5) = 2/10 = 1/5

The maximum value of the expression is what we get when a takes its minimum value, and b takes its maximum value:

4/(2*4) = 4/8 = 1/2

These are the bound of the expression, we can write:

1/5 < b/2a < 1/2

These are all the possible values of the expression.

Learn more about inequalities at:

https://brainly.com/question/24372553

#SPJ1

To optimize his long-term predicted profit percentage, he should select 20.567%.

Both decimal and fractional forms of the expression are acceptable.

Given, The boat's daily running expense is $2,250.

$1.50 is the minimal amount.

a maximum of $5.50

Most likely value is $3.50. Now, each day's conclusion.

More lobsters mean a lower price per pound which the grocery shop will accept ($3.85 - $0.0005). × y,

Amir's daily haul of lobster has a normally distributed with a mean of 1,500 pounds and a standard deviation of 12,500 pounds.

He should therefore select 20.567% to increase his anticipated profit in the long run.

To know more about percentage visit:

https://brainly.com/question/14695543

#SPJ4

Answer:

I think of philosophy as how we view the world and understand it. It is like thinking out of box, questioning our existence, and morals. What is good? What is bad?

Hope this helps :)

Honestly, philosophy is hard to understand

Have a great day

TSA = 2πrh + πr² (r = 40/2 = 20)

4715 = 40πh + 400π

4715/(40π) = h + 10

≈ 37.5 = h + 10

h = 27.5 cm

Hope this helped.

Answer:-

h = 17.52cm

Step-by-step explanation:

To find the height, we'll use the formula for a surface area of a cylinder.

[tex]\boxed{\sf SA=2\pi rh+2\pi r^2}[/tex]

Since the diameter is 40 cm, than the radius is :-

Now, let's substitute the values to the SA formula:-

[tex]\sf 4715\;cm^2=2\pi (20cm)h+2\pi (20cm)^2[/tex]

[tex]\sf 4715cm^2=40\pi cmh+800cm^2\pi[/tex]

[tex]\sf \cfrac{4715cm^2-800cm^2\pi }{40\pi cm} =\cfrac{40\pi cm(h)}{40\pi cm}[/tex]

[tex]\sf h=\cfrac{2,201.725877cm^2}{40\pi cm}[/tex]

[tex]\sf h=17.52\; cm[/tex]

____________________

Hope this helps!

Have a great day!

This is all I coulf find hope it helps! :')

The measure of the other two angles of the quadrilateral are 15 and 85.

What are the angles of a quadrilateral?

Angles in a quadrilateral are the four angles that occur at each vertex within a four-sided shape; these angles are called interior angles of a quadrilateral. The sum of the interior angles of any quadrilateral is 360 360°. We can prove this using the angle sum of a triangle.

A quadrilateral is a polygon having four sides, four angles, and four vertices.  When we draw the diagonals to the quadrilateral, it forms two triangles. Both these triangles have an angle sum of 180°. Therefore, the total angle sum of the quadrilateral is 360°

Given, two angles of quadrilateral as  175° and 85°.

Let other 2 angles be x and y.

x + y + 175 + 85 = 360

x + y = 100

Given x/y = 3/17

x= 3/17(y)

So,

3y/17 + y = 100

20y = 1700

y = 85

x = 100 - 85 = 15

Hence other two angles of the quadrilateral are 15 and 85.

To learn more about  quadrilateral refers to:

brainly.com/question/26690979

#SPJ1

Answer:

0.0021645

Step-by-step explanation:

The total milliliters of punch is 2x + y.

To find the total amount of milliliters of punch, we need to add together the amount of water, apple juice, and grape juice used to make it. Since the punch is made up of "water by volume" and "the rest is grape juice," we know that the ratio of water to grape juice is 1 : 1. If we know the amount of grape juice used in milliliters, we can use that to find the amount of water and apple juice used, and then add all three amounts together to find the total amount of milliliters of punch.

Let's say that "x" milliliters of grape juice were used to make the punch. Since the ratio of water to grape juice is 1 : 1, we know that the same amount of water, "x" milliliters, were used. To find the total amount of milliliters of water and grape juice, we add x + x = 2x milliliters.

However, the prompt also mention "apple juice" is also included in the punch, so we need to add the amount of apple juice used in the punch to find the total milliliters of punch. If the amount of apple juice used is "y" milliliters, then the total milliliters of punch is 2x + y.

Learn more about Milliliters Calculation here:

https://brainly.com/question/14274052

#SPJ4

Answer:

Randall's wage is the dependent variable. The hours he works is the independent variable.

Step-by-step explanation:

The time at which the car is 0.1 miles from the checkpoint is 95.1s and 108.7s.

The speed of the car is 53 miles per hour.

The distance of the car from the checkpoint is given by d = |1.5 - 53t|

To be 0.1 miles away from the checkpoint, the car has to travel 1.4 miles OR 1.6 miles. 

53 miles = 60 minutes 

1.4 miles = 1.4 / 53 × 60

= 1.5849056 minutes

= 1.5849056 × 60 seconds

= 95.1 seconds 

1.6 miles = 1.6 /53 × 60

= 1.8113207 minutes

= 1.8113207 × 60 seconds

= 108.7 seconds 

So the required time is 95.1s and 108.7s.

To know more about distance, here

https://brainly.com/question/15172156

#SPJ4