Malcolm and his father want to build a frame for their favorite poster. What strategy could they use to find out how much framing material they will need?

The results from Part B support the hypothesis from Part A, indicating that the students scored better on the Unit 1 test and that the Unit 1 test has more variation than the Unit 2 test.

Part 1: Looking at the data plots, it appears that the students scored better on the Unit 1 test than on the Unit 2 test. The Unit 1 test has more variation than the Unit 2 test, as there are more scores clustered towards either end of the scale, with fewer scores in the middle.

Part 2: The mean of the Unit 1 test is 77 and the mean absolute deviation is 11. This was calculated by adding up all of the scores and dividing by the total number of scores, which was 11. The mean absolute deviation was calculated by subtracting the mean from each score, taking the absolute value, and then taking the average of all of the absolute values.

Part 3: The results from Part B do support the hypothesis from Part A, as the mean score for the Unit 1 test is higher than the mean score for the Unit 2 test, as well as the mean absolute deviation for the Unit 1 test is higher than the mean absolute deviation for the Unit 2 test. This indicates that the Unit 1 test has more variation than the Unit 2 test, suggesting that the students scored better on the Unit 1 test.

The results from Part B support the hypothesis from Part A, indicating that the students scored better on the Unit 1 test and that the Unit 1 test has more variation than the Unit 2 test.

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Answer:

x>-3

Step-by-step explanation:

Divide both sides by 5

x > -3

-15/5 = -3

100 kilograms (kg) converts to 220.463 pounds (lb).

Conversion. 100 kilograms (kg) converted to pounds (lb). 100 kilograms (kg) equals 220.463 pounds (lb). A kilogram weighs approximately 2.2046226218 pounds. The method for converting kilos to pounds is pretty straightforward. All you have to do is multiply the kilogram amount by 2.2046226218.

The term “pound” derives from the ancient Roman libra pondo, which means “a pound by weight.” According to the BBC, the English term “pound” is derived from the pondo component of the sentence. However, the abbreviation “lb” is taken from the word libra.

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The slant height of the right cone is 24.2 units, rounded to the nearest tenth.

What is the Pythagorean Theorem?

The Pythagorean theorem is a mathematical theorem that states that in a right 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. It can be expressed as c² = a²+ b².

The slant height of a right cone can be found by using the Pythagorean Theorem. The radius of the circular base is half the diameter, which is 6/2 = 3 units. The volume of the cone can be found using the formula:

V = (π/3)r²h

Where r is the radius, and h is the height of the cone. Plugging in the given values, we have:

72π = (π/3)r²h

72π = (π/3)3²h

72π = (π/3)9h

72π = 3πh

24 = h

Using the Pythagorean Theorem, we can find the slant height as follows:

c² = a² + b²

Where a and b are the height and radius of the cone, and c is the slant height. Plugging in the values we have:

c² = 24² + 3²

c² = 576 + 9

c² = 585

c = 24.2

Hence, the slant height of the right cone is 24.2 units, rounded to the nearest tenth.

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Arrays in C and Java are similar in that they are used to store collections of elements, but the way they are passed, stored, and manipulated is different.

Arrays are a fundamental data structure in C and Java programming languages. In both languages, arrays are used to store a collection of elements with the same data type.

However, arrays can also be passed by reference using pointer notation.

This means that changes made to the array in the function are reflected in the original array.

When swapping two elements of an array in C, an entire array must be passed to a function, as there is no other way to write this procedure.

The stack is a portion of memory that is used for storing function calls and variables declared inside functions.

When a function is called, the stack grows and when the function returns, the stack shrinks.

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The sample space may be limited or infinite, depending on the nature of the experiment. A sample point is a component of the sample space that symbolizes one potential experiment result.

The sample space may be limited or infinite, depending on the nature of the experiment. A sample point is a component of the sample space that symbolises one potential experiment result.

The sample space is a set in probability theory that includes all potential results of a random experiment. The set of all potential outcomes or outcomes of a random experiment is referred to as a sample space. The set 1, 2, 3, 4, 5, and 6 might be the sample space, for instance, if we are rolling a die.

A sample space is a group of items that in set theory represents all potential outcomes of a random event. Depending on the situation, either a finite or infinite sample space

A sample space is a group of items that in set theory represents all potential outcomes of a random event. Depending on the nature of the experiment, the sample space may be either finite or limitless. A sample point is a component of the sample space that symbolises one potential result of the experiment. As it offers a framework for defining and computing probabilities, the sample space is a basic idea in probability theory.

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More than 25 percent of American adults are victims of identity theft each year.

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Answer:

f'(x)=16x³+69x²+86x+33

The study design of selecting 50 trees using random latitude/longitude coordinates may result in sampling error and measurement error, which could affect the accuracy of the results.

The error that is likely to result from this study design is known as "sampling error" because the sample of 50 trees is not necessarily representative of the entire population of white pine trees in the national forest as these trees were selected by chance.

If the sample of 50 trees were selected from a particular area of the forest where the trees were smaller in diameter, the study results would not accurately reflect the average diameter of all the white pine trees in the forest.

Moreover, there is a possibility of measurement error if the diameter of the trunks were not measured consistently. This could also contribute to the overall error in the study results.

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Fe-59 concentrates in the spleen with a biological half life of approximately 600 days, and an effective half life of approximately 42 days.

Define half life?

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The 95% confidence interval for the mean number of shoes owned by female students is (95.58, 195.14).

Calculate the sample mean:  

Total number of shoes = 45+31+3125+62+15+29+27+28+35+18+55+18+39+28+35+44+18+10+55+50+40+38+22+16 = 3634

Sample mean = 3634/25 = 145.36

Calculate the standard deviation:

Standard deviation = √[(45-145.36)² + (31-145.36)² + (3125-145.36)² + … + (16-145.36)²]/24 = 586.33

Calculate the margin of error:

Margin of error = 1.96∗586.33/√25 = 49.78

Calculate the 95% confidence interval:

Lower bound = 145.36 - 49.78 = 95.58

Upper bound = 145.36 + 49.78 = 195.14

Since the sample mean is not an integer, we must round the lower and upper bounds to the nearest integer, which gives us (29.73, 40.27) as the 95% confidence interval for the mean number of shoes owned by female students.

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The light post's height is 21 metres higher than the structure,

A lamp post is 45 feet away from where you are. You are standing at a 36" angle and are 5 feet tall as you stare up at the top of the light post.

tan 60 degrees is equal to 36/x sqrt(3),

36/x, and 36/(sqrt(3))*m. sqrt (3)

36/3 = 36 - h

h = 36 - 12

h = 24m

The distance between AB and CD is thus

60/(sqrt(3)) * 1.

The light post is 24 metres tall.

The light post's height is 45 -24 =21 metres higher than the structure, which is 21 metres higher.

The light post's height is 21 metres higher than the structure,

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The maximum number of bags Bob can pack with each bag having the same amount of items will be 16.

The largest common factor between two or more numbers is known as the GCF (Greatest Common Factor). We will identify the few factors that are shared by the given numbers once all the factors of the two or more numbers have been eliminated or recorded. The greatest common factor is the one with the highest number of common factors.

Given that Bob is packing gift bags for a different party. Each gift bag must

include the same amount of each item. He has 96 glow sticks, 80 trading

cards, and 48 stickers.

The maximum number of bags Bob can pack with each bag having the same amount of items is calculated as;-

96 = 2 x 2 x 2x 2x2x 3

80 = 2x 2x 2x 2x 5

48= 2x 2x 2x 2x 3

The GCF = 2 x 2x 2x 2 = 16

Hence, the maximum quantity of bags Bob can pack with the same number of items in each bag, making a total of 16.

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Therefore , the solution of the given problem of triangle comes out to be it is unsolvable as the all the information is not given option A is correct.

Polygons include triangles since they have four sides or more. It has a simple, geometric shape. The letters ABC make up a triangle, which is a square angle. Euclidean geometry results in a single rectangle or square so when sides remain not coincident. Because they have 3 components and three corners, triangles are polygons. A triangle's corners are where its three sides meet. The total of the angles in a triangle is 180 degrees.

Here,

Given :

=> α = 60°

=> β = 60°

=> γ = 60°

To solve the triangle we need to know the angles,

Since all the angles are equal to 60 degree

it seems it is an equilateral triangle having all the same sides

So,

it can be option b,c and d

but here is not mentioned the side length.

Thus, it is unsolvable.

Therefore , the solution of the given problem of triangle comes out to be it is unsolvable as the all the information is not given option A is correct.

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Hz (Hertz) is a unit of frequency, which measures the number of events or occurrences of a certain phenomenon per second. In this case, the tape timer creates 28 dots per second, which means that the frequency of dot creation is 28 Hz.

To find the time interval between 3 successive dots, we need to calculate the time it takes for the tape timer to create 3 dots. This can be done by dividing the total time by the number of dots created.

Since the tape timer creates 28 dots per second, the time interval between 3 dots can be calculated as follows:

Time interval = 1 second / 28 dots = 1/28 seconds

So, the time interval between 3 successive dots created by the tape timer is 1/28 seconds, which is the amount of time that elapses between the creation of each dot.

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Answer:

34:33:29

Step-by-step explanation:

all #s can be divided by 3

34:33:29

The series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E' will be Dilation and Reflection.

A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

Then the scale factor about the origin is given as,

Scale factor = 2 / 4

Scale factor = 1/2

The reflection does not change the shape and size of the geometry. But flipped the image.

Reflection of the image over the y-axis.

The series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E' will be Dilation and Reflection.

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The spillage refer to Cyber Awareness Challenge 2022 is explained below.

The Cyber Awareness Challenge 2022 is an important event that focuses on raising awareness about the dangers and risks associated with the use of technology and the internet.

In this context, spillage refers to the accidental or unintentional release of sensitive information. This can be caused by a variety of factors, including human error, technical glitches, and malicious attacks.

In addition, the challenge will explore the consequences of spillage, such as identity theft, financial loss, and reputational damage. This is why it is so important to take the challenge seriously and to understand the importance of cyber awareness and security.

By participating in the Cyber Awareness Challenge 2022, students will gain valuable skills and knowledge that will help them protect themselves and their information in the digital world

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The multiplication of the given expression gives the value 144.

Radicals are defined as the nth root of a number using the symbol [tex]^n\sqrt{x}[/tex].

This is the opposite form of the exponential functions.

Given expression is (4 √9) × (4 √9).

We can write this as (4 √9) × (4 √9) = (4 × 4) × (√9 × √9).

Multiplying the radicals together and whole numbers together,

(4 √9) × (4 √9) = 16 × (3 × 3) = 144

Hence the multiplication of the radicals gives the value 144.

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In addition to M1 (cash and coins held by nonbanks, checkable deposits, and traveler's checks), M2 is a measurement of the amount of money in circulation in the United States.

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If Poolas family hiked the same distance each day for 6 days, traveling a total of 25 miles, the number of miles they hiked every day is:

4 1/6 miles each day.

We are trying to find the distance that the Poolas hiked each day. We know that they hiked a total of 25 miles in 6 days.

To find the distance they hiked each day, we divide the total distance by the number of days:

So the Poolas family hiked 4 1/6 miles each day. This answer can be expressed as a mixed number, where the whole number is 4 and the fraction is 1/6.

A mixed number is a number that combines a whole number and a fraction. In this case, the whole number represents the number of whole miles the Poolas hiked, and the fraction represents the extra distance beyond a whole mile that they hiked.

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47.) The angle between the plane is 0 degrees.

48.) The angle between the plane is 180 degrees.

What is the angle between the plane?

To find the angle between two planes, we need to find the normal vectors of each plane and then find the cosine of the angle between the normal vectors using the dot product.

First, let's find the normal vectors for the two planes:

Plane 1: x + y = 1

The normal vector for this plane can be found by taking the coefficients of x, y, and z and forming a vector:

n1 = ⟨1, 1, 0⟩

Plane 2: 2x + y - 2z = 2

The normal vector for this plane can be found in the same way:

n2 = ⟨2, 1, -2⟩

Next, we will find the cosine of the angle between the normal vectors using the dot product:

cosθ = (n1 • n2) / (|n1| * |n2|)

where |n1| and |n2| are the magnitudes of the normal vectors.

Calculating the dot product and magnitudes:

n1 • n2 = 1 * 2 + 1 * 1 + 0 * -2 = 3

|n1| = sqrt(1^2 + 1^2 + 0^2) = sqrt(2)

|n2| = sqrt(2^2 + 1^2 + (-2)^2) = sqrt(9)

Substituting into the formula:

cosθ = 3 / (sqrt(2) * sqrt(9)) = 3 / (3) = 1

Since cosθ = 1, θ = 0, so the angle between the two planes is 0 degrees or a coincident plane.

Next, let's find the normal vectors for the two planes:

Plane 1: 5x + y - z = 10

The normal vector for this plane can be found by taking the coefficients of x, y, and z and forming a vector:

n1 = ⟨5, 1, -1⟩

Plane 2: x - 2y + 3z = -1

The normal vector for this plane can be found in the same way:

n2 = ⟨1, -2, 3⟩

Next, we will find the cosine of the angle between the normal vectors using the dot product:

cosθ = (n1 • n2) / (|n1| * |n2|)

Calculating the dot product and magnitudes:

n1 • n2 = 5 * 1 + 1 * (-2) + -1 * 3 = -3

|n1| = sqrt(5^2 + 1^2 + (-1)^2) = sqrt(27)

|n2| = sqrt(1^2 + (-2)^2 + 3^2) = sqrt(14)

Substituting into the formula:

cosθ = -3 / (sqrt(27) * sqrt(14)) = -3 / (3 * sqrt(2)) = -sqrt(2) / sqrt(2) = -1

Since cosθ = -1, θ = 180 degrees, so the angle between the two planes is 180 degrees, or perpendicular.

Hence,

47.) The angle between the plane is 0 degrees.

48.) The angle between the plane is 180 degrees.

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Answer:

the answer is 48 i believe

Step-by-step explanation:

............

(a)The median salary of the 20 data's is 48 (b)The mean salary of the 20 data's is 47.65 which is less than the median due to which the histogram is slightly skewed towards right

(c)The first quartile of the 20 salary will be the first 5 datas = (28, 31, 34, 35, 37)

(d) The interquartile range of the 20 salaries will be the lenght of 2nd and 3rd quartile combined = 5 + 5 = 10 from 6th term to 15th term.

The median value of a data set is the value at which 50% of the data points have values lower than it or equal to it and 50% of the points have values higher than it or equal to it. The median is the value that separates the upper from the lower half of a population, a probability distribution, or a sample of data. For a data collection, it may be referred to as "the middle" value.

In mathematics, particularly in statistics, there are a variety of mean types. Each mean aids in the summary of a particular set of data, frequently serving to assess the overall importance of a given data set.

The interquartile range includes the second and third quartiles, or the middle half of your data set (IQR). The range gives the spread of the full data set, whereas the interquartile range gives the range of the middle half of the data set.

The set of salary (data) :

28, 31, 34, 35, 37, 41, 42, 42, 42, 47, 49, 51, 52, 52, 60, 61, 67, 72, 75, 77.

Since there are 20 datas (even) the median will be the average of the 2 centre data = (47+49)/2 = 48

The mean of the data set = (28+ 31+ 34+ 35+ 37+ 41+ 42+ 42+ 42+ 47+ 49+ 51+ 52+ 52+ 60+ 61+ 67+ 72+ 75+ 77)/20 = 953/20 = 47.65

The first quartile of the 20 salary will be the first 5 datas = (28, 31, 34, 35, 37)

The interquartile range of the 20 salaries will be the lenght of 2nd and 3rd quartile combined = 5 + 5 = 10 from 6th term to 15th term.

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The capacity of the airplane is 105 passengers.

Since 90 passengers is to 6/7 of the capacity, then 90/6 people is 1/7 of the capacity. And, 90 / 6 = 15

So, 15 people is 1/7 of the capacity. It means, the full capacity is 7/7.

Full capacity = 15 * 7 = 105

Hence, the capacity of the airplane is 105 passengers.

Capacity of passengers are the total number of seats and berths and the total number of authorized standing places which available in a passenger vehicle when doing the service for what it is intended. The maximum passenger capacity in airplane means the maximum number of passenger seats for that an aircraft is configured.

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Although part of your question is missing, you might be referring to this full question: An airplane is carrying 90 passengers, which is 6/7 of the capacity of the airplane. What is the capacity of the airplane?

20% of the council members voted in favor of the new tax, which is equal to 0.20 * 85 = 17 council members.

The value of the sum of the series is 160

In an arithmetic series, the sum of the first "n" terms (Sn) is given by the formula:

Sn = n/2 * (a1 + an)

Where "a1" is the first term and "an" is the nth term.

In this series, n = 25, a1 = -20, and an = 148.

Plugging these values into the formula, we get:

Sn = 25/2 * (-20 + 148)

= 25/2 * 128

= 25 * 64

= 1600

So, the sum of the first 25 terms of the arithmetic series is 1600.

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The ratio of smiley face to triangle is 5/2. The ratio of smiley face to square is 5/4. The ratio of triangle to smiley face is 2/5. The ratio of triangle to square is 2/4. The ratio of square to smiley face is 4/5.

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings. For instance, a class has a 12:15 boy-to-girl ratio, whereas the part-to-whole ratio refers to the relationship between a particular group and the entire.

The ratio of smiley face to triangle is 5/2.

The ratio of smiley face to square is 5/4.

The ratio of triangle to smiley face is 2/5.

The ratio of triangle to square is 2/4.

The ratio of square to smiley face is 4/5.

The ratio of square to triangle is 4/2.

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