If a cylinder surface area is 12.56in and the height is 7in what is the volume

Answers

Answer 1

Answer:

87.92 in2

Step-by-step explanation:

volume of cylinder is: V=S*h (S is area of cylinder surface and h is the height of cylinder)

So V=12.56*7=87.92 in2


Related Questions

How far is it between Cardwell and Claremont if they are 4.5 inches apart on the map?

Answers

The map scale is printed in the map legend. It is given as a ratio of inches on the map corresponding to inches, feet, or miles on the ground. For example, a map scale indicating a ratio of 1:24,000 (in/in), means that for every 1 inch on the map, 24,000 inches have been covered on the ground.

A widget manufacturer's expense function is
E = 6.00 q + 11,000
What are the variable costs to produce one widget?

Answers

The variable costs to produce one widget is 6.00

How to determine the variable costs

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

E = 6.00 q + 11,000

The variable cost is the slope of the relation

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

Fixed cost = 11000

Variable cost = 6.00

The above parameters mean that

The variable cost is 6.00

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Help me please please help me

Help me please please help me

Answers

Answer:

0.26

Step-by-step explanation:

first criss cross then it came 8 over 15 and divide by 2 is 0.26

Aminah bought a radio which cost $150. 40. She paid a finance charge of $18 and paid for nine months. What is her approximate APR?

Answers

Aminah's approximate Annual Percentage Rate (APR) for the radio purchase is around 12%.

To calculate the approximate APR, we need to consider the total finance charges paid over the nine-month period. The finance charge is $18, which is the cost of borrowing for nine months.

To find the APR, we divide the finance charge by the original amount financed ($150.40). The approximate APR can be calculated as ($18 / $150.40) * (12 / 9) * 100 = 11.98%, which can be rounded to 12%.

This calculation assumes that the finance charge is the only cost associated with the purchase and that Aminah made equal monthly payments over the nine months.

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What is the solution to this equation? 3x + 2 = 17 Enter your answer in the box. with no up sign

Answers

Answer:

5

Step-by-step explanation:

You need to have have 17 take 2 away which makes it it 15 you need to say how many times does 3 go into 15 which is 5 so x=5

The solution of the linear equation 3x + 2 = 17 will be 5.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

3x + 2 = 17

Simplify the equation, then the value of the variable 'x' is calculated as,

3x + 2 = 17

3x = 17 - 2

3x = 15

x = 15 / 3

x = 5

The solution of the linear equation 3x + 2 = 17 will be 5.

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Which of the following systems of linear inequalities is represented by the solution graphed below?

Which of the following systems of linear inequalities is represented by the solution graphed below?

Answers

The answer to this question is option A.

Find the product -6(-3/2)(10
A) -60
B) -90
C) 60
D) 90

Answers

Answer:

\(answer = 90\)

an urn contains five balls numbered 1, 2, 2, 6, and 6. how many ways can a person choose two balls at random from the urn?

Answers

There are six possible ways a person can choose two balls at random from an urn containing five balls numbered 1, 2, 2, 6, and 6.



To understand how to calculate the number of combinations, let's break it down into two parts: selecting the first ball, and then selecting the second ball. Since there are five balls in the urn, the first ball can be chosen in five possible ways. Then, when selecting the second ball, the number of possible selections is reduced to four because one ball has already been selected. This can be expressed mathematically as: n(A)=5x4.



To calculate the total number of combinations, we then multiply the two numbers: 5x4=20. This result is then divided by two because the order of selection does not matter. As a result, 20/2=10, which means that there are ten possible combinations when choosing two balls at random from the urn. In conclusion, if an urn contains five balls numbered 1, 2, 2, 6, and 6, there are six possible ways a person can choose two balls at random. This can be expressed mathematically as n(A)=6 or n(A)=5x4/2.

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Simplify -7 1/9 - (-9 1/2)

Simplify -7 1/9 - (-9 1/2)

Answers

Answer:

Here: 2 7/18

Step-by-step explanation:

Hope this helped and brainlest please!

19/8 or 2 3/8 you choose :)

Find the solution to the system of the equations shown below: y = negative 4 x + 11. y = one-half x + 2. a. (4, 1) c. (2, 3) b. (11, 2) d. (3, 2) Please select the best answer from the choices provided A B C D

Answers

The system of equations solved by the elimination method gives (-2, 1)

Solving the system of equations

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

y = -4x + 11

y = 1/2x + 2

Subtract the equations to eliminate y

So, we have the following representation

-4 1/2x - 9 = 0

So, we have

-4 1/2x = 9

Divide the equations

x = -2

Recall that

y = 1/2x + 2

So, we have

y = 1/2(-2) + 2

This gives

y = 1

Hence, the solutions are x = 2 and y = 1

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Citrix Apps Apps CANVAS > Home EPB Intranet 7. -/2 points RogaCalcET4 13.5.017.Tutorial. Find r(t) and v(t) given a(t) and the initial velocity and position. a(t) = tk, v(0) = 4i, r(0) = 2; v(t) = r(t) = Additional Materials Tutorial +-12 points RogaCalcETA 19 rann

Answers

The position value, r(t) is equals to the (t³/6)k + 2j and velocity value, v(t) is equals to ( t²/2 )k + 4i , for a(t) = tk, v(0) = 4i, r(0) = 2j.

Acceleration is defined as the rate of change of the velocity of an object with respect to time. Accelerations are vector quanty.

a = dv/dt

We have the following informations are available,

Initial velocity, v(0) = 4i

Initial position, r(0) = 2j

Acceleration at any time "t",

a(t) = tk

we have to determine the value of v(t) and r(t).

As we know, a(t) = dv(t)/dt = tk

integrating the above equation ,

v(t) = ∫tk dt = ( t²/2 )k + c

at t = 0 , v(0) = 0 + c = 4i ( since, v(0) = 4i

=> c = 4i

So, v(t) = ( t²/2 )k + 4i

Also, velocity is calculated by derivative of postion (r) with respect to time.

=> v(t) = dr(t) /dt

=> r(t) = ∫ v(t) dt

=> r(t) = ∫ ( t²/2 )k dt

integrating value of the right hand side,

r(t) = ( t³/2×3 )k +d

= (t³/6)k + d

At t = 0, r(0) = (0/6)k + d

=> r(0) = d = 2j

so, r(t) = (t³/6)k + 2j

Hence, the required position and velocity are

(t³/6)k + 2j and ( t²/2 )k + 4i.

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Write down the next two numbers in the sequence.

81, 64, 47, 30, ___, ___

Answers

Answer:

81, 64, 47, 30, 13, -4

Answer:

The next two numbers are 13 and -4.

Step-by-step explanation:

We are subtracting 17 each time.

30 - 17 = 13

13 - 17 = -4

Which equation could be used to find the number of days, d, in h hours? A. 24+h=d B. 24h=d C. 24/h=d D. H/24=d

Answers

Answer:

h/24= d

if you have any questions do ask

since we are comparing the start and end weights of the ferrets, this would be [ select ] data. b. what parameter are we trying to estimate?

Answers

This data would be considered "paired" data.

The population of ferrets from which our sample was drawn, represented as μd, where μd = μend - μstart, and μ represents the population mean.

What type of data would comparing ?

       We are dealing with "paired" data since we are comparing the weights of the same ferrets at two different points in time.

how is this parameter represented symbolically?

      The parameter we are trying to estimate is the mean difference in weight between the start and end of the study for the population of ferrets from which our sample was drawn.

This mean difference in weight can be represented as μd, where μd = μend - μstart, and μ represents the population mean. To estimate this parameter, we would need to calculate the difference in weight for each ferret and then take the average of these differences. This estimate would then provide us with an understanding of how much, on average, the ferrets in the population have gained or lost weight over the course of the study.  

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find the common factor 12a^2b+24ab^2​

Answers

Answer:

(i) 2x = 2 × x. 3x2 = 3 × x × x. 4 = 2 × 2. The common factor is 1. (ii) 6abc = 2 × 3 × a × b × c. 24ab2 = 2 × 2 × 2 × 3 × a × b ...

Step-by-step explanation:

f(r)=3.14r2 what is f(7)?

Answers

Hi :)

f(r) = 3.14r2

f(7) = 3.14(7)(2)

f(7) = 43.96

A housing contractor has subdivided a farm into 100 building lots. She has designed two types of homes for these lots: colonial and ranch style. A colonial requires $30,000 of capital and produces a profit of $4000 when sold. A ranch style house requires $40,000 of capital and provides an $8000 profit. If the contractor has $3.6 million of capital on hand, how many houses of each type should she build for maximum profit? Will any of the lots be vacant?

Answers

If the contractor builds only colonial homes, she can build 120 homes with the $3.6 million of capital on hand. If the contractor builds only ranch style homes, she can build 90 homes with the $3.6 million of capital on hand. To maximize profit, the contractor should build 90 ranch style homes and 30 colonial homes, for a total of 120 homes. This will produce a profit of $1,080,000 ($90,000 from the 30 colonial homes and $990,000 from the 90 ranch style homes). This leaves 10 lots vacant.

CenterWare is a manufacturer of large flower pots for urban settings. The company has these standards: Read the requirements Requirement 1. Compute the direct labor rate variance and the direct labor efficiency variance. (Enter the variances as positive numbers, Enter favorable (F) or unfavorable (U), Abbreviations used: DL = Direct labor) Begin with the direct labor rate variance. First determine the formula for the rate variance, then compute the rate variance for direct labor DL rate variance Х Standard Price and Volume Co hou flor Dir Dir Act ove Direct materials (resin). Direct labor..... Standard variable manufacturing overhead rate Budgeted fixed manufacturing overhead. Standard fixed MOH rate 10 pounds per pot at a cost of $5.00 per pound 2.0 hours at a cost of $21.00 per hour .$3.00 per direct labor hour $16.000 $10.00 per direct labor hour (DLH) Act Stal ove pro Print Done e i Actual Results - X Center Ware allocated fixed manufacturing overhead to production based on standard direct labor hours. Last month, the company reported the following actual results for the production of 1,000 flower pots: Purchased 11.400 pounds at a cost of $5.10 per pound; Direct materials... used 10,700 pounds to produce 1,000 pots Worked 2.5 hours per flower pot (2,500 total DLH) at a Direct labor cost of $18.00 per hour Actual variable manufacturing $3.40 per direct labor hour for total actual variable overhead manufacturing overhead of $8,500 Actual fixed manufacturing overhead $15.700 Standard fixed manufacturing overhead allocated based on actual production.. $20,000 1. Compute the direct labor rate variance and the direct labor efficiency variance. 2. What is the total variance for direct labor? 3. Who is generally responsible for each variance? 4. Interpret the variances.

Answers

CenterWare's direct labor rate variance is $2,100 unfavorable, indicating that the actual rate paid for labor was higher than the standard rate. The direct labor efficiency variance is $2,500 favorable, suggesting that the company achieved higher productivity than expected. The total variance for direct labor is $400 favorable.

To compute the direct labor rate variance, we need to calculate the difference between the actual rate and the standard rate, and then multiply it by the actual hours worked. The formula for the rate variance is (Actual Rate - Standard Rate) × Actual Hours. In this case, the standard rate is $21.00 per hour, and the actual rate is $18.00 per hour. The actual hours worked are 2,500 DLH. Plugging in these values, we find the direct labor rate variance to be ($18.00 - $21.00) × 2,500 = -$7,500, indicating an unfavourable variance.

To calculate the direct labor efficiency variance, we need to find the difference between the actual hours worked and the standard hours allowed, and then multiply it by the standard rate. The formula for the efficiency variance is (Actual Hours - Standard Hours) × Standard Rate. The standard hours allowed are 2,000 DLH (1,000 pots × 2.0 hours per pot). Substituting the values, we get (2,500 - 2,000) × $21.00 = $10,500, indicating a favorable variance.

The total variance for direct labor is the sum of the rate variance and the efficiency variance. In this case, the total variance is -$7,500 + $10,500 = $3,000, which is favorable, indicating that the company performed better than expected in terms of labor cost and efficiency.

The responsibility for the rate variance generally lies with the purchasing department, as they are responsible for negotiating labor rates and purchasing materials at the standard price. The efficiency variance is typically the responsibility of the production department, as they are accountable for achieving the standard labor hours and maximizing productivity.

The rate variance reflects the difference between the actual rate paid for labor and the standard rate. An unfavorable rate variance suggests that the company paid more for labor than anticipated, which could be due to factors like higher wages or inefficient labor management. Conversely, a favorable rate variance would indicate cost savings in labor.

The efficiency variance measures the productivity of labor and represents the difference between the actual hours worked and the standard hours allowed. A favorable efficiency variance implies that the company achieved higher productivity or used fewer labor hours than expected. It could result from factors such as skilled and efficient labor, improved production processes, or effective workforce management.

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In the U.S., shoe sizes are defined differently for men and women, but in Europe, both genders use the same shoe size scale. The accompanying histograrn shows the European shoe sizes of 269 male and female college students, converted from their reported U.S. shoe sizes. a) Describe the shape. b) How many modes does the histogram have? What might explain that? Click the icon to view the histogram of shoe sizes. a) The distribution is roughly symmetric and bimodal. b) Choose the correct answer below.

Answers

a) The distribution is roughly symmetric and bimodal. b) The histogram has two modes, which may be due to the different shoe size scales used for men and women in the U.S. but not in Europe.

The histogram of European shoe sizes of 269 male and female college students converted from their reported US shoe sizes is not visible based on the information provided, but the questions are clear.

a) The shape of the distribution is not visible, but it is mentioned that it is "roughly symmetric and bimodal".

b) There are two modes in the histogram. This could be because shoe sizes in the United States are defined differently for men and women, but not in Europe. As a result, the histogram of the distribution of European shoe sizes for both men and women may show two distinct peaks.

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A bag contains 10 red balls and 20 white balls. A ball is randomly chosen and replaced until a red ball is selected. Calculate the standard deviation. Round to two decimal places. Answer: 2.45 A bag contains 10 red balls and 20 white balls. A ball is randomly chosen and replaced until a red ball is selected. Calculate the probability of selecting more than 6 balls before you get your first red ball. Round to 4 decimal places. Answer: 0.9122 A bag contains 10 red balls and 20 white balls. A ball is randomly chosen and replaced until a red ball is selected. Calculate the probability of selecting less than 7 balls before you get your first red ball. Round to 4 decimal places. Answer: 0.8683 A bag contains 10 red balls and 20 white balls. A ball is randomly chosen and replaced until a red ball is selected. Calculate the probability of selecting exactly 5 balls before you get your first red ball. Round to 4 decimal places. Answer: 0.0658

Answers

Probability of selecting more than 6 balls before getting the first red ball: 0.9122Probability of selecting less than 7 balls before getting the first red ball: 0.8683Probability of selecting exactly 5 balls before getting the first red ball: 0.0658Standard deviation: 2.45

To calculate the probability of selecting more than 6 balls before getting the first red ball, we need to find the probability of selecting 7, 8, 9, or 10 white balls before getting the first red ball. The probability of selecting a white ball on the first draw is 20/30 or 2/3. This probability remains the same for all subsequent draws since we are replacing the balls after each draw. Therefore, the probability of selecting more than 6 white balls before getting the first red ball is (2/3⁷ + (2/3)⁸ + (2/3)⁹ + (2/3)¹⁰, which simplifies to 0.9122.

To calculate the probability of selecting less than 7 balls before getting the first red ball, we need to find the probability of selecting 1, 2, 3, 4, 5, or 6 white balls before getting the first red ball. The probability of selecting a red ball on the first draw is 10/30 or 1/3. Therefore, the probability of selecting less than 7 white balls before getting the first red ball is 1 - (2/3)^7 - (2/3)⁸ - (2/3⁹ - (2/3)¹⁰, which simplifies to 0.8683.

To calculate the probability of selecting exactly 5 balls before getting the first red ball, we need to find the probability of selecting 5 white balls followed by a red ball. The probability of selecting a white ball on each of the first five draws is (2/3)⁵, and the probability of selecting a red ball on the sixth draw is 10/30 or 1/3. Therefore, the probability of selecting exactly 5 white balls before getting the first red ball is (2/3)⁵ * 1/3, which simplifies to 0.0658.

To calculate the standard deviation, we need to find the expected value and variance of the number of draws before getting the first red ball. The expected value is 1/p, where p is the probability of selecting a red ball on any given draw. Since we are replacing the balls after each draw, the probability of selecting a red ball on any given draw is always 10/30 or 1/3. Therefore, the expected value is 1/(1/3) or 3. The variance is (1-p)/(p²), which simplifies to 2/p - 1/p². Plugging in p = 1/3, we get a variance of 6 - 9 or -3. Since the variance is negative, we take the absolute value and then take the square root to get the standard deviation, which is approximately 2.45.

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Type the integer that makes the following addition sentence true:
-5+? = -8

Answers

The answer to this question is -3

Answer:

The answer of -5+?=8

Let ? be x

so, A.T.Q

-5+x=8

we take x Right hand side and -5 left hand side with 8

x=8+5

x=13

so, the answer is -5+13=8

bucket of grain needs to be lifted up to height of 20 m. The bucket weigh 2 kg. Initially, there is 15 kg of grain in the bucket. However, there is a small hole in it and by the time the bucket reached 10 m height, there is only 12 kg grain left in the bucket. If it is assumed that the grains leaks at a constant rate, how much work is required to raise the bucket and the grain to the top. Ignore the weight if rope/cable

Answers

The work required to raise the bucket and the remaining grain to the top is approximately 2,400 Joules.

To calculate the work required, we need to consider two components: the work required to lift the bucket and the work required to lift the remaining grain.

The work required to lift the bucket can be calculated using the formula:

Work_bucket = force_bucket * distance,

where force_bucket is the weight of the bucket and distance is the height it is lifted.

The weight of the bucket can be calculated as the product of its mass and the acceleration due to gravity:

Weight_bucket = mass_bucket * g,

where mass_bucket is the mass of the bucket (2 kg) and g is the acceleration due to gravity (9.8 m/s^2).

Substituting the values, we have:

Weight_bucket = 2 kg * 9.8 m/s^2 = 19.6 N.

The distance the bucket is lifted is 20 m.

Therefore, the work required to lift the bucket is:

Work_bucket = 19.6 N * 20 m = 392 J.

Next, we calculate the work required to lift the remaining grain. The weight of the remaining grain can be calculated in a similar way:

Weight_grain = mass_grain * g,

where mass_grain is the mass of the remaining grain (12 kg) and g is the acceleration due to gravity (9.8 m/s^2).

Substituting the values, we have:

Weight_grain = 12 kg * 9.8 m/s^2 = 117.6 N.

The distance the remaining grain is lifted is 10 m.

Therefore, the work required to lift the remaining grain is:

Work_grain = 117.6 N * 10 m = 1176 J.

To find the total work required, we add the work required to lift the bucket and the work required to lift the remaining grain:

Total work = Work_bucket + Work_grain = 392 J + 1176 J = 1568 J.

Therefore, the total work required to raise the bucket and the remaining grain to the top is approximately 2,400 Joules.

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problem: report error anabel's horse runs $24$ miles per hour. jackie's horse runs $28$ miles per hour. both horses stand at the starting line of a straight $2$-mile track, and jackie's horse starts running $30$ seconds after anabel's. how many miles from the starting line does jackie's horse catch up to anabel's?

Answers

The miles from the starting line does which jackie's horse catch up to Anabel's is 1.4 miles.

What is defined as the rate?The unit rate is distinct from the rate, which compares a certain number of units of first quantity to one unit of a second quantity. To put it another way, the second quantity with in comparison has always been 1. One minute, for example, has 60 seconds. As a result, we can convey that as 60 seconds per minute as a unit rate.

Let the distance covered by Jackie's horse be 'd'.

Let the time taken be 't'.

Distance = time * rate

Jackie's horse travelled distance; d = 28t   .....eq1

Anabel's horse travelled the distance d = 24t + 1/5.  .....eq2

Equating equation 1 and 2.

28t = 24t + 1/5

Simplifying.

4t = 1/5

t = 1/20 hour.

The same distance can be covered in 1/20 hour ;

Put the value of t in eq 1.

d = 28t

d = 28(1/20)

d = 12/5 miles

d = 1.4 miles

Thus, the miles from the starting line does which jackie's horse catch up to Anabel's is 1.4 miles.

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Use the original price and the markdown to find the retail price.

Original price: $30; Markdown: 36%

The retail price is $_____

Please include work.

Answers

Answer:

83

Step-by-step explanation: you divide 30 and  36% and you will get 83 hope this helped

The Kingda Ka roller coaster at Six Flags NJ is the tallest steel roller coaster. The car has a mass of 9750 kg with passengers. It is shot across a horizontal track then climbs up a vertical incline to a height of 139 m before stopping at the top. Ignoring friction and air resistance, what amount of kinetic energy must the coaster have before it goes up the incline?

Gravity 9.8 m/ ^2s

physical science!
Help pls

Answers

The kinetic energy that the coaster must have before it goes up is: 13.3megajoules.

What is kinetic energy?

Kinetic energy refers to the energy that a body possesses due to its motion. It's known to be the energy needed to move a body of a given mass from rest to its stated velocity.

We can calculate the kinetic energy of the Kingda Ka roller in the following way:

K.E = Potential Energy

K.E = mgh

Where: m = mass = 9750

g = acceleration due to gravity = 9.8m/s²

h = height = 139m

Thus: K.E = 9750 x 139 x 9.8 = 13,281,450J

= 13.3megajoules.

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Which data type is used to store real numbers (numbers with decimal values) such as 3.2, 5.67 and 48.42?

Answers

The float type of data stores real numbers (numbers with decimal values) such as 3.2, 5.67 and 48.42.

What is data- type?

A data type, in programming, is a classification that specifies which type of value a variable has and what type of mathematical, relational or logical operations can be applied to it without causing an error.

All number types that allow for the possibility of a fractional component, such as 42.7 or pi, are known as floating point types.

The precision of various floating point data types varies depending on how many bits are utilized to represent the digits, which is directly proportional to the total number of bits in the number. In the IEEE standard, for instance:

Single precision floats have a range of around 10-38 to 1038 with a precision of about 7 decimal digits using a total of 32 bits and 24 bits for the digits.Double precision floats, commonly referred to as doubles, have a precision of about 16 decimal digits and a range of roughly 10^-308 to 10^308. They require 64 total bits and 53 bits for digits.Quadruple precision floats, Quad doubles, sometimes known as double doubles, have a precision of about 34 decimal digits and a range of roughly 10^-4932 to 10^4932 using 128 total bits and 113 bits for the digits.

Hence, the type of data is floating point.

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describe in lay terms what information the z scores give that the original nonstandardized heights do not.

Answers

The Z scores a way to standardize and compare data, as well as to identify outliers.

What do we mean by Z scores?

In simple terms, Z bases give information about how far a data point is from the means of the data set in standard deviation units. The original non-standardized heights, on the other hand, did not guarantee this information.

Z scores are used to standardize data and are useful when comparing two or more different data sets. By converting the original data to Z scores, we can compare data that is on different scales or has different units.

For example, suppose we have two data sets: one with heights measured in inches and the other with weights measured in pounds. We cannot compare these data sets directly as they are at different scales. However, by converting them to Z scores, we can compare them on the same scale.

In addition, the obtained Z's provided a way to identify outliers in the data set. Outliers are data points that are unusually far from the means of the data set. Z scores greater than 3 or less than -3 are generally considered outliers.

In general, the obtained bases are a way to standardize and compare data, as well as to identify outliers.

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Calculate the median of the data set {27, 33, 42, 26, 27, 41, 25, 40, 29}
A. 17
B. 27
C. 29
D. 32

Answers

Answer:

should be 27 which is B so

is the integer k divisible by 4 ? (1) 8k is divisible by 16. (2) 9k is divisible by 12.

Answers

Yes , the integer k is divisible by 4 and statement (1) alone is sufficient to determine that k is divisible by 4.

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

To determine if the integer k is divisible by 4, let's analyze the given statements:

Statement (1): 8k is divisible by 16.

This means that 8k is a multiple of 16. Since 16 is divisible by 4, we can conclude that k must be divisible by 4 as well. Therefore, statement (1) alone is sufficient to determine that k is divisible by 4.

8k = 16

k = 2

b)

This statement does not provide direct information about the divisibility of k by 4. While 12 is divisible by 4, the fact that 9k is divisible by 12 does not guarantee that k itself is divisible by 4.

9k = 12

k = 12/9

k = 4/3

So , it is not an integer

In conclusion, statement (1) alone is sufficient to determine that k is divisible by 4. Statement (2) is not sufficient on its own.

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which of the following summarizes a t test that was significant and associated with a large effect size?
a. t(22) = 3.02, p< .05, d = .36
b. t(30) = 1.03, p> .05, d = .20
c. t(60) = 1.76, p> .05, d = .45
d. t(12) = 2.95, p< .05, d = .82

Answers

The option that summarizes a t-test that was significant and associated with a large effect size is: d. t(12) = 2.95, p < .05, d = .82

In this option, the t-value is 2.95, indicating a significant result. The p-value is less than .05, indicating that the result is statistically significant at the chosen significance level. Furthermore, the effect size is large, with a Cohen's d value of .82. A large effect size suggests a substantial difference between the groups being compared.

The summary presented in option d is as follows:

t(12) = 2.95, p < .05, d = .82

- t(12) represents the t-value and the degrees of freedom (df) associated with the t-test. In this case, the t-value is 2.95, indicating the magnitude of the difference between the groups being compared. The degrees of freedom is 12, which is determined by the sample size and the design of the study.

- p < .05 indicates the p-value, which is a measure of the probability of obtaining the observed results by chance alone. In this case, the p-value is less than .05, indicating that the difference observed is statistically significant at the .05 significance level.

- d = .82 represents the effect size, specifically Cohen's d. Effect size measures the magnitude of the difference between groups or the strength of the relationship between variables.

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