R/3 =16 what is R ??????????????????

The fraction which is equivalent to 6/12 is 1/2

What does a fraction mean?

In the first place, fraction is a numerical quantity or relationship where one number is expressed in terms of another.

In order to determine the equivalence of 6/12 in fraction , we need reduce 6/12 to the lowest term, since 6 is common to 6 and 12 and that 6 divided by gives 1 and 12/6 gives 2, which means that we are left 1/2

The correct fraction which is equivalent to 6/12 is 1/2

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Full question:

A group of 12 students goes on a school field trip, 6 are in third grade. which fraction is equivalent to 6/12?

(A) 1/3

(B)1/4

(C) 1/6

(D) 1/2

Answer: The answer is $40 per ticket.

Step-by-step explanation: Divide 120 by 3 to get 40. Hope this helps!

Answer:

$40

Step-by-step explanation:

3 tickets cost : 120

1 ticket cost : 120 ÷ 3

= 40

The Binary Search Tree is as follows:

                                                   E

                                            /            \

                                         S                T

                                        /                    \

                                      I                       W

                                   /                            \

                                A                               M

                              /                                    \

                             C                                     G

                              \

                                D

The set of letters is {I, D, S, A, E, T, C, G, M, W} and len (I, D, S, A, a) = 5

Binary Search Tree:The binary search tree based on the alphabetical ordering of the letters is:

post-order sequence is: C, D, A, G, M, I, W, T, S, E.

To draw the binary search tree for the given post-order sequence, follow the steps below:

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We have:tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)(7/2)

To prove the equation tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2) without using a calculator, we can utilize the trigonometric properties and identities to simplify the expression.

Let's start by using the addition formula for the tangent function:

tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A) * tan(B))

We can rewrite the given expression as:

tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2)

Using the addition formula, we can combine the first two terms:

tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)((1/11 + 5/6) / (1 - (1/11)*(5/6)))

Simplifying further:

tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)((11/66 + 55/66) / (1 - 5/66))

tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)(66/66 / (61/66))

tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)(1)

Using the same approach, we can combine the remaining terms:

tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)((1/3 + 1/2) / (1 - (1/3)*(1/2)))

tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)((5/6) / (3/2))

tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)(5/9)

Now, we have:

tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)(1) + tan^(-1)(5/9)

Using the addition formula again:

tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)((1 + 5/9) / (1 - (1)*(5/9)))

tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)((14/9) / (4/9))

tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)(14/4)

tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)(7/2)

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The best recommendation in this scenario would be to increase the sample size.

Increasing the level of confidence for the interval (option a) would actually make the interval wider, which is the opposite of what the user wants.

Reducing the population variance (option b) might help in reducing the width of the interval, but it is not something that can be easily controlled or manipulated.

Decreasing the sample size (option c) would likely result in a less precise estimate and potentially wider intervals.

On the other hand, increasing the sample size (option d) would generally lead to a more precise estimate. As the sample size increases, the standard error of the estimate decreases, resulting in narrower confidence intervals.

By increasing the sample size, the user would be able to obtain more data points and reduce the uncertainty associated with the estimate, leading to narrower confidence intervals and potentially more meaningful results.

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One way to simplify variables with many levels (or decimal places) when creating a frequency distribution is to organize the data into class intervals (option B).

By grouping the data into intervals, the frequency distribution becomes more manageable and easier to interpret. This process involves dividing the range of values into distinct intervals or categories and then counting the number of observations falling within each interval. Class intervals provide a summary of the data by grouping similar values together, reducing the complexity of individual levels or decimal places.

This simplification technique is particularly useful when dealing with large datasets or continuous variables that have numerous levels or decimal values, allowing for a clearer representation and analysis of the data.

Option B holds true.

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Efficiency function can be illustrated by a motor that delivers the specified output while consuming less energy than similar motors on the market.

Maintenance is the processes undertaken to ensure that a plant, equipment, or facility is running correctly. Reliability means maintaining assets or equipment in a state of readiness such that they can function at their highest level of expected effectiveness or efficiency.

Reliability-Centered Maintenance (RCM) is a method used to develop scheduled maintenance strategies for machinery by defining all the functional requirements for the equipment. The primary objective is to ensure that the physical assets of the business continue to function as intended and deliver the desired outcomes to achieve the company's goals.

A visible function is a function that can be seen, whereas a hidden function is one that cannot be seen but is nonetheless critical to the asset's efficient operation.

Example of evident function - Water pump that is visible and can be seen working.

Example of a hidden function - Fuel pump that is hidden and cannot be seen working.

The function of containment can be illustrated by the example of an oil tanker. If an oil tanker were to leak, the containment function would serve to ensure that the oil remains in the tanker and does not spill into the environment.

Appearance function can be illustrated by a building whose exterior has been well maintained, such that it appears pleasing to the eye and gives a positive impression of the organization

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Answer: -1.9f - 21

Step-by-step explanation:

Combined the like terms.

Correct me if I am incorrect.

Answer:

50/77

Step-by-step explanation:

(1÷2 3/4)+(1÷3 1/2)

2 3/4 is same as 11/44

1/2 is same as 7/2

so to divide fraction you have to flip the second number and multiply

so 1 times 4/11=4/11

and 1 times 2/7=2/7

4/11 +2/7=28/77+22/77=50/77

The answer to the question is 17. 4°.

New Horizons is a spacecraft that was launched by NASA in 2006. It flew past Pluto in July 2015, and then went to study Kuiper Belt objects. In 2019, it flew by Arro Koth, the farthest object ever visited by a spacecraft from Earth. New Horizons carries scientific instruments that study the environment around Pluto, as well as cameras that take images of the surface of Pluto and its moons. It is the first spacecraft to visit Pluto.

Arc degrees of Pluto that are visible to the New Horizons space probe while approaching the dwarf planet is 17. 4°.

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The equation of a line of best-fit that reflects a negative correlation is y = mx + b, where the slope m is negative.

When analyzing a scatter plot, a negative correlation indicates that as the independent variable increases, the dependent variable decreases. In the equation y = mx + b, the negative slope m represents the rate of decrease in the dependent variable for each unit increase in the independent variable. A negative slope means that as the x-values increase, the corresponding y-values decrease. The y-intercept b represents the value of the dependent variable when the independent variable is zero. Thus, the equation y = mx + b with a negative slope indicates a negative correlation between the variables being studied.

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"What is the equation of the line of best fit that represents a negative correlation between two variables?"

1. HK is a perpendicular bisector

2. LP

3. HF is an angle bisector.

4.  HK shows the distance from point to a side of the triangle.

Angle bisector is a segment that divides an angle into two congruent parts.

A perpendicular bisector is a line segment that forms a right angle at the point it intersects another segment.

1. A perpendicular bisector is: HK

2. A vertex of the triangle is P, so, LP shows the distance from point L to vertex P of the triangle.

3. Angle F is divided into two equal parts by segment HF. HF is an angle bisector.

4. A side of the triangle is GF. HK shows the distance from point to side GF.

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Given

The data is given

10,13,14,15,17,18,20,30,35

Answer: 4,000

Step-by-step explanation:

The solution is Option A.

The rate at which the swimming pool is being filled is 66.6 gallons per hour

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number of gallons be = y

Let the time taken be = x

The total volume of the pool = 15000 gallons

The pool is filled at constant rate

Now ,

The coordinate data is given as

The value of A = A ( 15 , 1000 )

The value of B = B ( 30 , 2000 )

The value of C = C ( 45 , 3000 )

Now , the rate at which the swimming pool is filled is given by the slope of the points in the line

So , the slope of the 2 points is given by the formula

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 2000 - 1000 ) / ( 30 - 15 )

On simplifying the equation , we get

Slope m = 1000 / 15

Slope m = 66.66 gallons per hour

Therefore , the value of A is 66.6 gallons per hour

Hence ,

The rate at which the swimming pool is being filled is given by the slope of the line where slope m = 66.6 gallons per hour

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Answer:

I think it is complement. Not so sure so sorry If i get it wrong I haven't done this in 2 or 3 years

Step-by-step explanation:

a. The number of ways to arrange the ten beads in a line with no other restrictions is 10! (10 factorial), which is equal to 3,628,800.

When arranging the beads in a line with no restrictions, the first bead can be chosen in 10 ways, the second bead in 9 ways (as one bead has already been placed), the third bead in 8 ways, and so on until the last bead, which has only 1 choice.

Therefore, the total number of arrangements is the product of all these choices, which is 10! = 10 × 9 × 8 × ... × 2 × 1 = 3,628,800.

b. If B must be placed somewhere to the right of A and also somewhere to the left of C, the arrangement of the beads is restricted. In this case, there are 8! (8 factorial) ways to arrange the remaining 8 beads.

Since B must be placed somewhere to the right of A and also somewhere to the left of C, we can treat A, B, and C as a single unit. This unit can be arranged in 3! = 3 × 2 × 1 = 6 ways (ABC, ACB, BAC, BCA, CAB, CBA). The remaining 8 beads can then be arranged in 8! ways.

Therefore, the total number of arrangements is 6 × 8! = 241,920.

c. When arranging the beads in a necklace with no other restrictions, the total number of ways is (10!)/(10) = 9!, which is equal to 362,880.

Arranging the beads in a necklace means that rotations of the same arrangement are considered equivalent.

So, we divide the total number of linear arrangements (10!) by the number of possible rotations (10). This gives us (10!)/(10) = 9!.

d. If we arrange the beads in two necklaces of five beads each, the number of ways is [(10!)/(2 * 5!)]/2, which simplifies to 181,440.

Since each necklace contains five beads, we divide the total number of linear arrangements of 10 beads (10!) by the number of ways we can arrange the beads within each necklace (5!).

However, we divide by 2 since the order of the two necklaces does not matter.

Therefore, the total number of ways to arrange the beads in two necklaces of five beads each is [(10!)/(2 * 5!)]/2 = 181,440.

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Rounded to the nearest cent, the total job cost for Randi is $6,138.99.

To calculate the total cost for Randi's carpeting job, we need to consider the cost of the carpet, foam padding, and labor.

1. Carpet cost:

The total square yards of carpet needed is:

Downstairs: 109.41 square yards

Halls: 30.41 square yards

Upstairs bedrooms: 160.51 square yards

The total square yards of carpet required is the sum of these areas:

109.41 + 30.41 + 160.51 = 300.33 square yards

The cost of the carpet per square yard is $13.60.

Therefore, the cost of the carpet is:

300.33 * $13.60 = $4,080.19

2. Foam padding cost:

The total square yards of foam padding needed is the same as the carpet area: 300.33 square yards.

The cost of the foam padding per square yard is $3.10.

Therefore, the cost of the foam padding is:

300.33 * $3.10 = $930.81

3. Labor cost:

The labor cost is quoted at $3.75 per square yard.

Therefore, the labor cost is:

300.33 * $3.75 = $1,126.99

4. Total job cost:

The total cost is the sum of the carpet cost, foam padding cost, and labor cost:

$4,080.19 + $930.81 + $1,126.99 = $6,138.99

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\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)

The expression which is equivalent to -10 is the option b, -3 - 7.

Explanation:

We can use subtraction and addition of integers to get the value of the given expression. We can write the given expression as;

-3 - 7 = -10 (-3 - 7)

The addition of two negative integers will always give a negative integer. When we subtract a larger negative integer from a smaller negative integer, we will get a negative integer.

If we add -3 and -7 we will get -10. This makes the option b the correct answer.

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Answer:

11) -11

12) -12

13) 7

14) -60

15) -56

16) -378

17) -126

18) -4

19) -3

20) -12

Answer:

see below

Step-by-step explanation:

1.  75

2.  -14

3.  91

4.  67

5.  24

6.  112

7.  91

8.  44

9.  15

10.  -11

11.  -11

12.  -12

13.  7

14.  -60

15.  -56

16.  -378

17.  -126

18.  -4

19.  -3

20.  -12

Answer:

The correct option is (B) 69.7%.

Step-by-step explanation:

The table provided represents the probabilities of a positive response to two government programs from citizens in eight cities.

The probabilities mentioned in the table are conditional probabilities, i.e. the probability of a positive response for program 1, given that the individual is from city x.

The probability a positive response for program 1 from an individual from Houston is 69.7%.

Then the conditional probability of a positive response for program 1, given that the individual is from Houston is 69.7%.

Thus, the correct option is (B).

CBT (Computer-Based Training) or WBT (Web-Based Training) are highly recommended courses for individuals preparing for certification exams. These interactive and accessible courses provide a flexible learning experience tailored to the needs of exam candidates.

CBT and WBT courses offer numerous advantages for certification exam preparation. Firstly, they allow learners to study at their own pace and convenience, as the materials are available online and can be accessed from anywhere with an internet connection. These courses often include interactive elements such as quizzes, simulations, and practice exams, enabling candidates to assess their knowledge and track their progress. Additionally, CBT and WBT courses are often designed by experts in the field, ensuring the content is comprehensive and up-to-date.

By utilizing CBT or WBT courses, certification exam candidates can enhance their understanding of the exam topics, improve their retention of key information, and develop essential skills required for success. The interactive nature of these courses promotes active learning, engagement, and the opportunity to apply theoretical knowledge in practical scenarios. Ultimately, CBT and WBT courses empower individuals to approach certification exams with confidence and increase their chances of achieving positive outcomes.

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Answer:

14.29%

Step-by-step explanation:

You would do 84 -72. You should get 12. Then you would do 12/84 to get the discount percentage.

If you round to the hundredths, then your answer would be 14.29%.

The algebraic expression that is equivalent to (4x + 12) + 9x is:  C. (4x + 9x) + 12.

Algebraic expressions are equivalent to each other if they have he same value when simplified or evaluated.

Given the expression, (4x + 12) + 9x, we have:

4x + 12 + 9x

Add like terms

13x + 12

Also, simplifying (4x + 9x) + 12, we give us the following:

4x + 9x + 12

13x + 12

Therefore, the algebraic expression that is equivalent to (4x + 12) + 9x is:  C. (4x + 9x) + 12.

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Answer:

Step-by-step explanation:

4 x 5 = 20 ft²

The correct option is C: Cluster around a horizontal line when graphed are distributed equally along both axes.

A level within a phase is defined as a set of observations that cluster around a horizontal line when graphed. This means that the data points tend to remain relatively constant or steady during that particular phase.

When plotted on a graph, these observations form a horizontal line, indicating little variation or change. This stability implies that the system or process being observed is in a balanced state, with minimal fluctuations or disturbances.

The horizontal line represents a steady state, indicating that the system or process being observed is maintaining a consistent level without significant fluctuations or trends.

A stable level is characterized by a consistent and predictable pattern, which can be useful in analyzing and understanding the behavior of the system or process over time.

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