What is 4.5pi minus pi/0.5?

The triangular prism has a lateral area of 84 square inches. (Correct choice: D)

In this problem we find the case of right prism with two right triangular bases, then the lateral area is the sum of the area of three rectangles. The area formula for a rectangle is:

A = w · l

Where:

Finally, we determine the lateral area of the triangular prism is:

A = (4 cm) · (7 cm) + (3 cm) · (7 cm) + (5 cm) · (7 cm)

A = 28 cm² + 21 cm² + 35 cm²

A = 84 cm²

The lateral area of the triangular prism is equal to 84 square centimeters.

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a. The percentile rank for a fare of $119 is 30%.

b. The percentile rank for a fare of $227 is 91.11%.

c. Based on your first two answers, for $173 train fare would have a percentile rank of approximately 82%.

a. We have to determine the percentile rank for a fare of $119.

Total number of fare below and at the fare $119 = 27

Total fare = 90

The percentile rank for a fare of $119 = Total number of fare below and at the fare $119/Total fare × 100

The percentile rank for a fare of $119 = 27/90 × 100

The percentile rank for a fare of $119 = 0.3 × 100

The percentile rank for a fare of $119 = 30%

b. We have to determine the percentile rank for a fare of $272.

Total number of fare below and at the fare $272= 82

Total fare = 90

The percentile rank for a fare of $272 = Total number of fare below and at the fare $272/Total fare × 100

The percentile rank for a fare of $272 = 82/90 × 100

The percentile rank for a fare of $272 = 0.911 × 100

The percentile rank for a fare of $272 = 91.11%

c. Based on your first two answers, We have to determine which train fare would have a percentile rank of approximately 82%.

The percentile rank for a fare of $119 is 30%.

The percentile rank for a fare of $272 is 91.11.

There are three pricing ranging from $119 to $272. The percentile rank of 82% for the $272 response to section B is closer to 91.11%. $173 is the cost next to $272. Therefore, it makes the most sense that $173 would have a percentile rank of about 82%. Determine how many fares there are

= 12 × 6 + 2

= 72 + 2

= 74 fares

The percentile rank = 74/90 × 100%

The percentile rank = 82.22%

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The complete question is:

Shannon is traveling from New York City to Washington, D.C. She wants to go by train so she can see the views. Since she will be driving home with a family member, she only priced the cost of a one-way ticket on Amtrak for any time of day on February 15. Below is an ordered listing of all fares that were available for selection on that day.

49  88  88  88  119  133  133  133  161  171  173  173  173  272  284

49  88  88  88  119  133  133  161  161  173  173  173  173  272  284

88  88  88  119  119  133  133  161  161  173  173  173  272  272  284

88  88  88  119  133  133  133  161  171  173  173  173  272  272  284

88  88  88  119  133  133  133  161  171  173  173  173  272  284  284

88  88  88  119  133  133  133  161  171  173  173  173  272  284  284

a. Find the percentile rank for a fare of $119.

b. Find the percentile rank for a fare of $272.

c. Based on your first two answers, which train fare would have a percentile rank of approximately 82%?

The multiplication and division of the numbers 2 and 2 will be 4 and 1, respectively.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The numbers are given below.

6/3 and 2

2 and 2

Then the multiplication of the numbers 2 and 2 is given as,

⇒ 2 x 2

⇒ 4

Then the division of the numbers 2 and 2 is given as,

⇒ 2 / 2

⇒ 1

The multiplication and division of the numbers 2 and 2 will be 4 and 1, respectively.

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Answer:

6d+4 seeds

Step-by-step explanation:

d+5d+4=6d+4

The solution to the system of equation is (4, 1).

System of equation can be solved using different method such as elimination method, substitution method and graphical method. Therefore, the system of equations have been solved using graphical method.

Therefore, the point where the lines or graph intersect is the solution of the system of equation.

Hence, let's find the coordinates where the lines intersect as follows:

The lines intersect at (4, 1)

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The amount of money that I will have at the end of 20 years would be =$4,480. That is option D

Compound interest is defined as the interest that is being earned on an account which is based on the rate and the time the investment was made.

The total amount invested (p)= $2,000

The rate of investment (r) = 5%

The time of investment(t)= 12 year

The compound interest warm from that account;

= P×T×R/100.

= 2,000×12×5/100

= 120000/100

= $1200

For the next 8 years with the rate of 8% ;

= 2,000×8×8/100

= 128000/100

= $1280

The total compound interest = $1200+$1280= $2,480

Therefore, the amount of money that I will have at the end of 10 years would be = 2000+2480 = $4,480

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The probability of drawing a heart as the first card is 1/52.

The probability of drawing a jack as the second card given that the first card is a heart is 4/51 (since there are 4 jacks and 51 remaining cards after one heart is drawn). The probability of rolling the same number twice with a fair six-sided die is 1/6. The total probability is (1/52) * (4/51) * (1/6) = 1/1098.

Assume that there are a finite number of elementary events that are all equally likely to occur in the sample space of the experiment under consideration.

Where total cases equal the extent of the sample space, and favorable instances are those elementary occurrences that belong to E.

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Answer:

option A

Step-by-step explanation:

27.5° will be the value of m∠C. Thus option A is correct.

What is an angle sum property?

A closed shape with both inner and exterior angles, a triangular is created by three lines. Because when measurements of the additional two angles are known, one can utilize the angle sum property to determine the measure of an undetermined interior angle. To calculate the third angle's measurement, add the first two angles together and reduce their combination from 180 degrees.

The information that is provided is with respect  to the triangle ΔABC

In which the value of the two triangles is given as m∠A = 28.7° and m∠B = 123.8°

To determine the third angle m∠C angle sum property will be used.

180 = m∠A + m∠B + m∠C

180 = 28.7° + 123.8° +  m∠C

180 = 152.5 +  m∠C

m∠C = 180 - 152.5

m∠C = 27.5°

The reaming angle will be 27.5°. Therefore, option A is the correct option.

Kristin bought 4 fancy shirts and 3 plain shirts.

Let's assume Kristin bought "x" fancy shirts and "y" plain shirts.

We know that:

x + y = 7 (the total number of shirts Kristin bought)

28x + 15y = 131 (the total amount of money she spent)

We can use the first equation to solve for one of the variables in terms of the other.

For example: y = 7 - x

Substituting this into the second equation:

28x + 15(7 - x) = 131

28x + 105 - 15x = 131

13x = -74

x = -5.692307692 (approximately)

Since x must be a positive integer (the number of fancy shirts cannot be negative or a fraction), this solution is not valid.

However, we can see that the equation does have a solution by trying a larger value for x:

x = 1

y = 6

This gives us:

28 * 1 + 15 * 6 = 131

28 + 90 = 131

118 = 131

This solution is not valid either, since the total amount spent cannot be less than the cost of the shirts.

By repeating this process, we can find that the solution is x = 4 and y = 3.

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Based on a control chart analysis, the process with 11.8 hits per minute would be considered out of control.

In order to determine whether the process is in control or out of control, we can use a control chart.

A control chart is a graphical representation of process data that shows the behavior of the process over time and allows us to determine whether the process is in control or out of control.

The first step in creating a control chart is to calculate the control limits. In a normal distribution, control limits are set at +/- 3 standard deviations from the mean.

For this process, the mean is 10.6 hits per minute and the standard deviation is 0.49 hits.

The control limits would be:

Upper control limit (UCL) = 10.6 + (3 * 0.49) = 11.57 hits

Lower control limit (LCL) = 10.6 - (3 * 0.49) = 9.63 hits

Next, we compare the data point of 11.8 hits to the control limits.

If the data point falls outside of the control limits, the process is considered out of control.

If the data point falls within the control limits, the process is considered in control.

In this case, the data point of 11.8 hits is outside of the control limits and is higher than the upper control limit of 11.57 hits.

This means the process is considered out of control.

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The correct answer is option b) Bacteria in samples 2 and 3 mutated quickly to adjust to temperature change.

From the given graph it is seen that sample 1 is not showing any growth or decline despite of the temperature change. One cannot ascertain its gene expression. On the other hand, Sample 2 shows a slight change from 4cm² to 7cm² bacteria count and Sample 3 shows a wide change as per temperature change from 8cm² to 12cm². Hence it can be said that samples 2 and 3 mutated to adjust to the temperature compared to sample 1 which showed no changes.

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Complete Question

the graph below shows the growth of three samples of the different bacteria on Petri dishes incubated over 24 hours as the temperature was increased 10 degrees every eight hours: (Graph in the figure attachment) which statement best explains the data trend observed in the bacteria samples?

a) All bacteria samples grow better at higher temperatures.

b) Bacteria in samples 2 and 3 mutated quickly to adjust to temperature change.

c) Temperature changes do not affect gene expression for growth in sample 1.

d) Bacteria in sample 1 will eventually die out at higher temperatures.

Answer:

The next number in the sequence is 17/15.

Step-by-step explanation:

To interpret scores on it, he is presently administering the test to a representative sample of all golfers. Dr. zimmer is clearly in the process of validating their test.

Validation refers to the process of evaluating the accuracy and reliability of a test or measurement instrument. When Dr. Zimmer is administering the test to a representative sample of golfers, he is collecting data that will allow him to determine the validity of the test and its ability to accurately measure golfers' knowledge of the sport's history.

This process is important for ensuring that the test results are meaningful and can be used to make accurate inferences about the population being studied.

By comparing the scores on the test to other measures of golfers' knowledge, such as interviews or other tests, Dr. Zimmer can determine the test's ability to accurately measure the construct it is intended to measure. Therefore, Dr. Zimmer is in the process of validating his test by collecting data and evaluating its accuracy and reliability.

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Answer: a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation: the y-intercept is where the line meets the y line which in this case is -3. I used slope formula to find the m of the equation ( slope ) take a look at the attached image to see how I solved it.

Answer:

a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation:

The graph is a solid line and requires no shading, the solution is the point of intersection

There are some points that help in interpreting inequality graphs.

The equation must first be set up in the manner, with y acting as the  subject of the formula and to the left.

Solid or dashed lines.

Solid lines indicate that there is equality in the inequality, while dashed lines indicate that less than or greater than no "equal to"

This equation has only equal to hence no dashed lines

The shaded area is another component.

greater than and less than are defined by shading above and below the line, respectively.

This equation has only equal to hence no shading is required

The point of intersection is the solution of the graph

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The Methods used that summarize or organize characteristics of data is descriptive.

Methods used to summarize or organize characteristics of data are referred to as descriptive methods.

Descriptive methods are used to describe the basic features of a set of data, such as its central tendency (mean, median, mode) and dispersion (range, variance, standard deviation). These methods provide a summary of the data, often through the use of graphical representations such as histograms, bar charts, and scatter plots.

The goal of descriptive methods is to understand the underlying structure of the data, identify patterns, and present the data in a clear and meaningful way.

Descriptive methods do not make inferences about a population based on a sample or draw conclusions about causality.

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keeping in mind that a function does not have any X-Repeats, that is, the 1st coordinate in every pair never repeats, Check the picture below.

The polynomial function is P(n) = n(3n - 1)/2 and the sequence is 1, 5, 12, 22 and 35

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

Sequence of five figurate numbers

An instance of a sequence of figurate numbers is the pentagonal numbers

This is represented as

P(n) = n(3n - 1)/2

For the terms of the sequence, we have

P(1) = 1 * (3 *1 - 1)/2 = 1

P(2) = 2 * (3 *2 - 1)/2 = 5

P(3) = 3 * (3 *3 - 1)/2 = 12

P(4) = 4 * (3 *4 - 1)/2 = 22

P(5) = 5 * (3 *5 - 1)/2 = 35

Hence, the polynomial is P(n) = n(3n - 1)/2

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Answer:

Below

Step-by-step explanation:

1/8 f  /  2/5 hr    =    1/8 * 5/2 = 5/16 fence per hour

The amount of fence completed in 1 hour is A = 5/16

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

1/8 of a fence is built in 2/5 of an hour

Now , the unit rate of work is given by

A = ( 1/8 ) / ( 2/5 )

On simplifying the equation , we get

A = ( 1/8 ) x ( 5/2 )

A = 5/16 per hour

Hence , the amount of fence completed per hour is ( 5/16 )th

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The car will spend 18 minutes to cover 18 km.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Suppose we have two ratio p : q and r : s. If both these ratios are proportional, then we can write it as p : q = r : s or p/q = r/s

Given that,

Time taken to travel 105 km = 1 hr 45 min = 60 min + 45 min = 105 minutes

Time taken to travel 18 km = x

Using the concept of proportion,

105 / 105 = 18 / x

Cross multiplying,

105 x = 18 × 105

x = 18

Hence the time taken to travel 18 km is 18 minutes.

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Answer:

1/4n - 6 < 96

Step-by-step explanation:

Im a tutor but the way it is worded hurts my brain

A moving average is used to smooth the option  2) seasonal variation .

Therefore, a moving average which is used to smooth the seasonal variation.

The above question is incomplete , the complete question is:

A moving average can be used to smooth which of the following options?

1) cyclical variation                  2) seasonal variation

3) irregular variation               4) all responses are correct

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The positive integer representing possible values for third side length of the triangle as per given measure of two side length are 45.

Two side length of a triangle be 'x' and 'y'

Side length 'x' = 23

Side length 'y' = 53

Third side length be 'n'

Using triangle inequality we have ,

x + y > n

⇒ 23 + 53 > n

⇒ 76 > n ___(1)

And x + n > y

⇒ 23 + n > 53

⇒ n > 53 - 23

⇒ n > 30 ___(2)

We know 'n' is a positive integer .

30 < n < 76

All the positive integer between 30 and 76 are possible values for 'n'.

Possible values are : 75 - 30 = 45

Therefore, there are 45 possible values for the third side of a triangle.

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The first class, which did not study for the final, is the control group.

The control group serves as a baseline for comparison with the other groups in an experiment. By comparing the outcome of the experimental group(s) with the outcome of the control group, the experimenter can determine if the treatment had an effect.

In this case, the professor can compare the grades of the first class (which did not study) with the grades of the second and third classes (which studied for 5 hours and 10 hours respectively) to see if the amount of time spent studying had an impact on the students' grades.

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The three sources of error that would have contributed to the value obtained for the percent difference or percent error are systematic error, random error, and human error.

Systematic error is an error that occurs in the same direction each time a measurement is made, resulting in a consistent bias in the data. This type of error is caused by a flaw in the measurement process, such as a faulty instrument or a miscalibration. Systematic errors can be difficult to identify and correct, as they are often not obvious.

Random error is an error that occurs in a random direction each time a measurement is made, resulting in a random variation in the data. This type of error is caused by factors that are out of the experimenter's control, such as environmental factors or the natural variability of the system being measured. Random errors can be reduced by taking multiple measurements and averaging the results.

Human error is an error that occurs due to mistakes made by the experimenter, such as misreading a scale or incorrectly recording data. Human errors can be reduced by carefully following the instructions for the experiment and double-checking all measurements and calculations.

In conclusion, the three sources of error that would have contributed to the value obtained for the percent difference or percent error are systematic error, random error, and human error. Each of these errors can be reduced by taking steps to ensure accuracy and precision in the experiment.

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True. Even though the sample is random, it is not representative of the population of interest.

A representative sample is a subset of a population that accurately reflects the total population in terms of the characteristics being measured. In this case, 500 surveys were sent to randomly selected participants in the public recreation program, and only 150 responses were received. This results in a response rate of 30%. The formula for calculating the response rate is (responses/population x 100). By having a low response rate, the sample size is not large enough to accurately reflect the characteristics of the population of interest.

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Refer to the images attached (answers are circled). Let me know if you have any questions.

The probability p of getting heads when tossing this coin is 16

Since you're flipping the coin five times, each outcome will have an odd number of heads and tails: either there will be more heads than tails, or there will be more tails than heads. Because neither heads nor tails are preferred, each outcome will have an equal number of heads and tails.

The simple explanation is that more heads will appear in half of the results. As there are 25=32 possible outcomes, the correct response is 16 divided by 32.

You would have had to take into account that some of the results have the same number of heads and tails if you had indicated the coin was flipped six times.

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