Given a circle with the radius of 9.42ft. Find the circumference of this circle.
Answers
Answer:
C≈59.19
Step-by-step explanation:
I hope this helps! ^^
☁️☁️☁️☁️
Answer:
Roughly 59.2 feet
Step-by-step explanation:
Since there is already and answer, I want to go more in depth and explain how to get that answer.
The formula for the circumference of a circle is 2*pi*r
Plug in what we are given...
2*pi*9.42
18.84*pi
59.187, or 59.2 feet
Related Questions
Please help fast! Calculate the mean and explain the mean that would signify the entire population of fish by using this sample
Answers
The answer is 2
You're working late one night and notice that the hard drive on your new computer is very active even though you aren't doing anything on the computer and it isn't connected to the Internet. What is the most likely suspect?
Answers
Answer:
The most likely suspect for the hard drive being very active even though the computer is not being used and is not connected to the Internet is malware. Malware is a type of software that is designed to cause harm to a computer system, and it can often run in the background without the user's knowledge.
When an alternating current of frequency f and peak current I_0 passes through a resistance R, then the power delivered to the resistance at time t seconds is P = I^2_0 R sin^2 2 pi ft. Write an expression for the power in terms of csc^2 2 pi ft. P = I^2_0 R/(csc^2 2 pi ft) P = I^2_0 R (csc^2 2 pi ft) P = I^2_0/(1 - csc^2 2 pi ft) P = I^2_0 R(1 - csc^2 2 pi ft)
Answers
The expression for the power delivered to a resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).
According to the given information, the power delivered to a resistance R when an alternating current of frequency f and peak current I_0 passes through it is represented by the equation P = I^2_0 R sin^2 2 pi ft.
To express this equation in terms of csc^2 2 pi ft, we can use the trigonometric identity csc^2 x = 1/sin^2 x. Substituting this identity into the equation, we get P = I^2_0 R (1/sin^2 2 pi ft).
Since csc^2 x is the reciprocal of sin^2 x, we can rewrite the equation as P = I^2_0 R (csc^2 2 pi ft). This expression represents the power delivered to the resistance in terms of csc^2 2 pi ft.
Therefore, the correct expression for the power delivered to the resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).
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solve for x in the diagram below
Answers
The value of x in the given diagram is x = 20
Calculating the value of xFrom the question, we are to determine the value of x in the given diagram
In the given diagram,
We have a right angle
Thus,
The angles sum up to a right angle
That is,
x° + 2x° + (x + 10)° = 90°
x° + 2x° + x° + 10° = 90°
4x° + 10° = 90°
Subtract 10° from both sides of the equation
4x° + 10° - 10° = 90° - 10°
4x° = 80°
Divide both sides by 4
4x°/4 = 80°/4
x° = 20°
Hence, x = 20
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which statements correctly compare the sum and product?
Answers
Answer:
B) The sum is linear and the product is quadratic.
D) The sum has one y-intercept and the product has two x-intercepts.
Step-by-step explanation:
The sum of two linear functions products another linear function. Therefore, s(x) is a linear function.
The product of two linear functions produces a quadratic function. Therefore, p(x) is a quadratic function.
The rate of change of a quadratic function is not constant because its graph is a curve, so both functions do not have a constant rate of change.
From the given table, we can see that the values of s(x) are the same for all values of x. This indicates that the sum of the two linear functions produces a horizontal line (parallel to the x-axis), at y = -1. Therefore, s(x) does not intercept the x-axis at all.
As s(x) is a horizontal line at y = -1, it has one y-intercept at y = -1.
The x-intercepts are the values of x when y = 0. From the given table, we can see that there are two points when p(x) = 0. Therefore, p(x) has two x-intercepts.
As s(x) is a horizontal line, it is constant for all values of x. Therefore, it does not decrease for x ≥ 2.
Therefore, the statements that correctly compare the sum and product are:
B) The sum is linear and the product is quadratic.D) The sum has one y-intercept and the product has two x-intercepts.cual es la respuestaaa
Answers
Answer:
48
Step-by-step explanation:
a² - 16 a = 8
8² - 16
= 64 - 16
= 48
This means that the percentage of male students with scores between 162 and 366 is .
Answers
1. The probability is approximately 0.0003.
2. The probability is approximately 0.2743.
3. The probability is approximately 0.0668.
4. The probability is approximately 0.0501.
5. The probability is approximately 0.6811.
The given information is about the National Assessment of Educational Progress (NAEP) scores for male students in geography in 2001. The mean score for male students was 264, with a standard deviation of 34. The scores are assumed to be normally distributed.
1. To find the probability that a z-score is greater than 3.6, we can use the unit normal tables. Looking up the z-score of 3.6 in the table, we find that the area to the left of this z-score is approximately 0.9997. Since we want the probability of the z-score being greater than 3.6, we subtract this value from 1. So, the probability is approximately 1 - 0.9997 = 0.0003.
2. To find the probability that a z-score is less than -0.6, we can again use the unit normal tables. Looking up the z-score of -0.6 in the table, we find that the area to the left of this z-score is approximately 0.2743. So, the probability is approximately 0.2743.
3. To find the probability that a z-score is greater than 1.5, we can use the unit normal tables. Looking up the z-score of 1.5 in the table, we find that the area to the left of this z-score is approximately 0.9332. Since we want the probability of the z-score being greater than 1.5, we subtract this value from 1. So, the probability is approximately 1 - 0.9332 = 0.0668.
4. To find the probability that a z-score is between 1.6 and 2.6, we can use the unit normal tables. Looking up the z-scores of 1.6 and 2.6 in the table, we find that the area to the left of 1.6 is approximately 0.9452 and the area to the left of 2.6 is approximately 0.9953. To find the probability between these two z-scores, we subtract the smaller area from the larger area. So, the probability is approximately 0.9953 - 0.9452 = 0.0501.
5. To find the probability that a z-score is between -1.7 and 0.6, we can use the unit normal tables. Looking up the z-scores of -1.7 and 0.6 in the table, we find that the area to the left of -1.7 is approximately 0.0446 and the area to the left of 0.6 is approximately 0.7257. To find the probability between these two z-scores, we subtract the smaller area from the larger area. So, the probability is approximately 0.7257 - 0.0446 = 0.6811.
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10m and width of 5m is surrounded by a concrete patio. The patio is a uniform 3m width around the entire pool. What is the area of the patio
Answers
The area of the patio is equal to the total area of the patio and the pool combined minus the area of the pool.
So, the area of the patio is 176m² - 50m² = 126m².
To find the area of the patio, we need to subtract the area of the pool from the total area of the patio and the pool combined.
Start by calculating the area of the pool:
- The length of the pool is 10m and the width is 5m, so the area of the pool is 10m * 5m = 50m².
Next, calculate the total area of the patio and the pool combined:
- The length of the patio and the pool combined is 10m + 2 * 3m = 16m.
- The width of the patio and the pool combined is 5m + 2 * 3m = 11m.
- Therefore, the total area of the patio and the pool combined is 16m * 11m = 176m².
Finally, calculate the area of the patio:
- The area of the patio is equal to the total area of the patio and the pool combined minus the area of the pool.
- So, the area of the patio is 176m² - 50m² = 126m².
The area of the patio is 126m².
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The area of the patio surrounding the pool is 126 square meters.
To calculate the area of the patio surrounding the pool, we need to find the total area of the larger rectangle (pool + patio) and then subtract the area of the pool.
Given:
Length of the pool = 10mWidth of the pool = 5mWidth of the patio = 3m (uniform around the pool)Calculate the length and width of the larger rectangle (pool + patio).
The length of the larger rectangle will be the length of the pool plus twice the width of the patio (since there are two sides of the patio along the length).
The width of the larger rectangle will be the width of the pool plus twice the width of the patio (for the two sides of the patio along the width).
Length of the larger rectangle = Length of pool + 2 x Width of patio
Length of the larger rectangle = 10m + 2 x 3m = 10m + 6m = 16m
Width of the larger rectangle = Width of pool + 2 x Width of patio
Width of the larger rectangle = 5m + 2 x 3m = 5m + 6m = 11m
Calculate the area of the larger rectangle (pool + patio).
Area of the larger rectangle = Length * Width
Area of the larger rectangle = 16m * 11m = 176 square meters
Calculate the area of the pool.
Area of the pool = Length of pool * Width of pool
Area of the pool = 10m * 5m = 50 square meters
Calculate the area of the patio.
Area of the patio = Area of the larger rectangle - Area of the pool
Area of the patio = 176 square meters - 50 square meters = 126 square meters
Therefore, the area of the patio surrounding the pool is 126 square meters.
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whats thw ansewr plese help me
Answers
The table of values is a linear equation which is given as y = -7/2x + 2
What is a linear function?A linear function is a mathematical function that represents a straight line when graphed on a coordinate plane. It is a type of function where the independent variable (usually denoted as x) has a constant rate of change with respect to the dependent variable (usually denoted as y).
The slope-intercept form of a linear equation is given as;
y = mx + c
From the table of value given;
f(x) = mx + c
Let's calculate the slope of the equation;
m = y₂ - y₁ / x₂ - x₁
m = 2 - 9 / 0 - (-2)
m = -7 / 2
The slope is -7/2
Taking the slope to find the linear equation;
y = mx + c
Taking any point;
9 = -7/2(-2) + c
9 = 7 + c
c = 2
The equation is y = -7/2 + 2
Taking another point to confirm our answer;
2 = -7/2(0) + c
c = 2
This shows the values is a linear equation;
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giving brainliest for who gets it right
Answers
Answer:
\(35\)
Step-by-step explanation:
From the information given we can solve for x using the larger triangle
we know that the angle at the top is 45 degrees and the side opposite of it is 35, in other words we need to find the adjacent, or rather, x
Since we have angle, an opposite side, and we need the adjacent. The trig function we need to use is \(tan\), the formula is
\(tan0\)\(=\frac{opposite}{adjacent}\)
we need to rearrange this to solve for the adjacent
\(adjacent=\frac{opposite}{tan(0)}\)
\(x=\frac{15}{tan(45)}\)
\(x=35\)
plz mark me brainliest. :)
A horse's lifespan is about 30 years. A horse's lifespan is
56 years less than that of an elephant. Write a
subtraction equation and solve to find the lifespan of an
elephant.
Answers
Answer:
x = 30 + 56
The lifespan of an elephant is 86 years
Step-by-step explanation:
a bag contains 4 white 5 red and 6 blue balls three balls are drawn at radon from the bag the probality that all of them are red is
Answers
The probability that all three balls drawn from the bag are red is 6/273.
What is probability?Prοbability is a measure οf the likelihοοd οr chance that a particular event will οccur. It quantifies the uncertainty assοciated with an οutcοme in a given situatiοn οr experiment.
Given:
- Total number of balls in the bag: 4 white + 5 red + 6 blue = 15 balls
- Number of red balls: 5
For the first draw, the probability of selecting a red ball is 5 red / 15 total balls = 1/3.
After the first red ball is drawn, there are 4 red balls left and 14 total balls remaining in the bag. Therefore, for the second draw, the probability of selecting another red ball is 4 red / 14 total balls = 2/7.
After the second red ball is drawn, there are 3 red balls left and 13 total balls remaining in the bag. Therefore, for the third draw, the probability of selecting the final red ball is 3 red / 13 total balls.
To find the probability of all three balls being red, we multiply the individual probabilities together:
P(all red) = (1/3) * (2/7) * (3/13)
Simplifying the expression, we get:
P(all red) = 6/273
Therefore, the probability that all three balls drawn from the bag are red is 6/273.
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the endpoints of the diameter of a circle have the coordinates (3,8) and(9,16) what are the coordinates of the center
Answers
C = ( (xo+x1)/2 , (yo+y1)/2)
Where,
xo = 3 and x1 = 9
yo = 8 and y1 = 16
Then us stay with"
C = ( (3+9)/2 , (8+16)/2)
C = ( 12/2 , 24/2)
C = ( 6 , 12 )
A recipe needs 4/5 cup of butter for every 2 cups of flour. If you plan to use 3 cups of flour, how much butter will you need?
Answers
Answer:
Step-by-step explanation:
2.4 cups
Which statement is true?
x = 157, because 180 - 23 = 157
x = 33, because 180 - (124 + 23) = 33
x = 56, because 180 - 124 = 56
x = 147, because 23 + 124 = 147
PLEASE ANSWER FAST!!!!
Answers
Answer:
x = 33
Step-by-step explanation:
forgive me if im wrong but I've had this question before and i got that right.
Answer:
x = 33, because 180 - 124 + 23
!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Please help!
Answers
Answer:
Step-by-step explanation:
So first you have to divide the monkey by the + sign then when you did that you take the exponent and turn it into a ratio. When you are done doing that you have to multiply and divide and then you have your answer.
Move the center of rotation back to the origin (0, 0) of the coordinate plane. Now alter pentagon ABCDE by moving one or more line segments on the pentagon to a different location. Rotate the pentagon using the slider. How many times does the pentagon map back onto itself in this situation? What can you conclude about the kinds of polygons that can map back onto themselves? Describe them.
Answers
The changed pentagon maps back onto itself only one time, when the value of α is 360°. A polygon must be regular to map back onto itself more than once. In a regular polygon, all of the sides are equal and all of the angles are equal.
Step-by-step explanation:
Answer:
The changed pentagon maps back onto itself only one time, when the value of α is 360°. A polygon must be regular to map back onto itself more than once. In a regular polygon, all of the sides are equal and all of the angles are equal.
Step-by-step explanation:
Sample Answer
A
B
C
D
19.86 m
23.78 m
16.31 m
39.42 m
Answers
The measure of the side 'x' is 16.31 m. The correct option is C.
Trigonometry is a branch of mathematics that deals with the study of the relationships between the sides and angles of triangles. It is a fundamental part of geometry that has many practical applications in fields such as physics, engineering, navigation, and surveying.
Given that in a right-angled triangle, the value of side RS is x, angle R is 25° and the side RT is 18 m.
The value of x will be calculated as,
sin65° = x / 18
x = 18 x sin65°
x = 16.31 m
Hence, the correct option is C.
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A class is divided into teams for small group work. There are six tearns and each has five students. Use the equation (s)/(5)=6 to find the total number of students in the class. A 11 students B 25 students C 30 students D 3 students
Answers
The correct answer is C) 30 students i.e the total number of students in the class is 30.
To find the total number of students in the class, we can solve the equation (s) / 5 = 6, where (s) represents the total number of students.
Multiplying both sides of the equation by 5, we get:
s = 5 * 6
s = 30
Therefore, the total number of students in the class is 30.
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50 pts. & will give brainliest! use the rational root theorem to list all possible rational roots of the polynomial equation x^3 - x^2 - x - 3 = 0. do not find the actual roots. (1 point)
a. -3, -1, 1, 3
b. 1, 3
c. -3, 3
d. no roots
Answers
Answer:
The Cubic Polynomial given here is
x³ - x² - x -3 =0
Rational root theorem :
Consider any polynomial
\(→ Ax^n +A_{1}x^{n-1}+A_{2}x^{n-2}+.................+A_{n}=0Axn+A1xn−1+A2xn−2+.................+An=0\)
So, the factors of this polynomial is those number which divides An/A which are ±1, An/A.
Applying the same method the number which divides (-3) are,-3,+3,-1,+1. So By rational root theorem all the factors of this cubic polynomial is 3,±1,±3 .
Option 1. -3,-1,1,3 is correct optionAnswer:
-3, -1 , 1, 3
Step-by-step explanation:
Constant factors: 1, -1, 3, -3
Coefficient factors: 1, -1
Lasandra wants to center a towel bar on her door that is 29 inches wide. She determines that the distance from each end of the towel bar to the end of the door is 7. 75 inches. Write and solve an equation to find the length of the towel bar. Which of the following equations represents the situation? Let r represent the length of the towel bar
Answers
The equation "r = 29 - 2(7.75)" represents the situation accurately.To find the length of the towel bar, we can set up an equation based on the given information.
Let's consider the distance from each end of the towel bar to the end of the door, which is 7.75 inches. Since the towel bar will be centered, this distance will be the same on both sides.
The length of the towel bar (r) can be represented as:
r = 29 - 2(7.75)
Explanation: We subtract twice the distance from each end to the end of the door from the total width of the door (29 inches) to find the length of the towel bar.
Simplifying the equation:
r = 29 - 15.5
r ≈ 13.5 inches
Therefore, the length of the towel bar is approximately 13.5 inches.
Among the given equations, the equation "r = 29 - 2(7.75)" represents the situation accurately.
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What is the simplified form of (x^2 yz)^2(xy^2 z^2)^2/(xyz)^2?
A. (xyz)^2(xyz)/x
B. 1/(xyz)^2
C. x^3 y^2 z^2
D. x^4 y^4 z
Answers
The expression is simplified to x⁴y⁴z⁴
What are algebraic expressions?
Algebraic expressions are defined as expressions that are made up of coefficients, terms, variables, constants and factors.
These expressions are also made up of arithmetic operations or mathematical operations.
These operations are listed thus;
SubtractionAdditionBracketParenthesesDivisionMultiplicationFrom the information given, we have that;
(x²yz)²(xy²z²)²/(xyz)²
expand the bracket, we get;
(x⁴y²z²)(x²y⁴z⁴)/x²y²z²
Factor the common terms, we get;
x²y²z²(x²)(y²z²)
Multiply the values, and expand the bracket, we have;
x⁴y⁴z⁴
Hence, the expression in its simplified form is given as x⁴y⁴z⁴
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Can someone help me with this
Answers
Step-by-step explanation:
please give me brainlest
Answer:
\( \frac{3}{4} {k}^{2} + 2k - 29 \\ \\ \frac{3}{4} {( - 12)}^{2} + 2( - 12) - 29 \\ \\ \frac{3}{4} (144) - 24 - 29 \\ \\ 3(36) - 24 - 29 \\ \\ 108 - 24 - 29 = 55\)
I hope I helped you^_^
Sabiendo que la velocidad del sonido es de 343. 2 m/s, ¿a cuántos kilómetros de distancia se produce un trueno que tarda 6 segundos en oÃrse?
Answers
2.0592 kilometers away is a clap of thunder that takes 6 seconds to be heard.
When you hear thunder, you are actually hearing sound waves created by lightning.
Light travels much faster than sound, so you usually see lightning first and hear the thunder a few seconds later. By measuring the time between lightning strikes, you can estimate how far lightning has struck.
The speed of sound is approximately 343.2 meters per second in dry air at 20 degrees Celsius. So if it takes him 6 seconds for lightning to reach him, the lightning will be:
distance = speed x time
Distance = 343.2m/s x 6s
distance = 2059.2 meters
So the lightning struck about 2059.2 meters away from you. To convert this to kilometers, divide by 1000.
Distance = 2059.2m / 1000
distance = 2.0592 km
Therefore, lightning struck about 2.0592 kilometers away.
the question in English:
Knowing that the speed of sound is 343.2 m/s, how many kilometers away is a clap of thunder that takes 6 seconds to be heard?
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What is 7 x 10,000 + 4 x 1,000 + 3 x 100 + 7 x 10 + 7 x 1 written in standard form?
Answers
Answer:
74,377
Step-by-step explanation:
Compute the effective annual rate of interest at which $ 2,000
will grow to $ 3,000 in seven years if compounded quarterly Express
the final answer as a % rounded to 2 decimal places .
Answers
The formula for calculating the effective annual rate of interest with quarterly compounding is:
(1 + r/4)^4 - 1 = A/P
where r is the quarterly interest rate, A is the final amount, and P is the principal.
In this case, P = $2,000, A = $3,000, and the time period is 7 years or 28 quarters.
So we have:
(1 + r/4)^4 - 1 = 3000/2000
(1 + r/4)^4 = 1.5
1 + r/4 = (1.5)^(1/4)
r/4 = (1.5)^(1/4) - 1
r = 4[(1.5)^(1/4) - 1]
To get the effective annual rate, we need to convert the quarterly rate to an annual rate by multiplying by 4:
effective annual rate = 4[(1.5)^(1/4) - 1] ≈ 8.84%
Therefore, the effective annual rate of interest at which $2,000 will grow to $3,000 in seven years if compounded quarterly is approximately 8.84%, rounded to 2 decimal places.
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Determine the derivative with quotient rule and find the equation of the tangent to f(x) at x=0
Answers
ANSWER
\(\text{ The derivative of the function is; }\frac{\text{ dy}}{\text{ dx}}\text{ = }\frac{\text{ -2x}^2\text{ + 2}}{\text{ \lparen x}^2\text{ + 1\rparen}^2}\)EXPLANATION
Given that;
\(\text{ f\lparen x\rparen = }\frac{\text{ 2x}}{\text{ x}^2\text{ + 1}}\)Let U(x) = 2x and V(x) = x^2 + 1
Apply the quotient rule to find the derivative of f(x)
\(\text{ }\frac{\text{ dy}}{\text{ dx}}\text{ = }\frac{\text{ V}\frac{\text{ dU}}{\text{ dx}}\text{ - U }\frac{dv}{\text{ dx}}}{\text{ V}^2}\)Differentiate U and V with respect to x
\(\begin{gathered} \text{ U\lparen x\rparen = 2x} \\ \text{ }\frac{\text{ du}}{\text{ dx}}\text{ = 2} \\ \\ \\ \text{ V\lparen x\rparen= x}^2\text{ + 1} \\ \text{ }\frac{dv}{\text{ dx}}\text{ = 2x} \end{gathered}\)Hence, we have
\(\begin{gathered} \text{ }\frac{\text{ dy}}{\text{ dx}}\text{ = }\frac{(x^2\text{ + 1\rparen}\times2\text{ - 2x\lparen2x\rparen}}{(x^2\text{ + 1\rparen}^2} \\ \\ \text{ }\frac{\text{ dy}}{\text{ dx}}\text{ = }\frac{\text{ 2x}^2\text{ + 2 - 4x}^2}{(x^2\text{ + 1\rparen}^2} \\ \\ \text{ }\frac{\text{ dy}}{\text{ dx}}\text{ = }\frac{\text{ -2x}^2\text{ + 2}}{\text{ \lparen x}^2\text{ + 1\rparen}^2} \end{gathered}\)a market research company wishes to know how many energy drinks adults drink each week. they want to construct a 85% confidence interval for the mean and are assuming that the population standard deviation for the number of energy drinks consumed each week is 0.8 . the study found that for a sample of 159 adults the mean number of energy drinks consumed per week is 7.6 . construct the desired confidence interval. round your answers to one decimal place.
Answers
The desired confidence interval is [7.3, 7.9].
Solution: The given problem can be solved by the formula:
Confidence Interval = [mean – (Za/2 * (σ/√n)),
mean + (Za/2 * (σ/√n))]
Where, Zα/2 is the Z value of alpha by 2.
The formula to find Zα/2 is given as: Zα/2 = InvNorm (1-α/2)
Here, we need to find the confidence interval for the mean number of energy drinks consumed by adults.
Therefore, Mean (μ) = 7.6
Population Standard Deviation (σ) = 0.8
Sample Size (n) = 159
Confidence Level = 85%
Here, we need to construct a 85% confidence interval for the mean.
So, α = 100% – Confidence Level
α = 100% – 85% = 15%
α/2 = 15/2 = 7.5% or 0.075
Using Z Table, the value of Zα/2 can be calculated as:
Zα/2 = InvNorm(1-α/2)
= InvNorm(1-0.075)
= InvNorm(0.925) = 1.44 (rounded off to two decimal places)
Now, we can substitute the given values into the formula for the confidence interval.
Confidence Interval = [mean – (Zα/2 * (σ/√n)), mean + (Zα/2 * (σ/√n))]
Confidence Interval = [7.6 – (1.44 * (0.8/√159)), 7.6 + (1.44 * (0.8/√159))]
Confidence Interval = [7.3, 7.9]
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What is the sum of the absolute values of -14 and 10?
What is the absolute value of the sum of -14 and 10?
Answers
Answer:
|-14| + |10| = 24
|-14 + 10| = 4
Step-by-step explanation:
The sum of each absolute value makes the values positive before adding them together, producing 24.
For the second one, you have to find the sum then take the absolute value afterwards. The sum of -14 and 10 is -4 and the absolute value makes -4 positive, producing 4.
A feed trial to compare three dietary supplements was conducted using 24 pigs of approximately the same body weight. The 24 pigs came from four litters, with each of the four litters containing six pigs. Within a given litter, the six pigs were randomly assigned to the three dietary supplements, with two receiving each supplement. The pigs were housed in 24 identical pens and fed their assigned diets under identical conditions. This is an example of a block design. What are the blocks in this design?
a. The 24 different pigs
b. The three different dietary supplements
c. The four different litters
d. The 24 identical pens
Answers
The answer to the given question is option c) The blocks in this design are the four different litters.
In a block design, the experimental units are grouped into homogeneous sets or blocks based on one or more characteristics that are expected to affect the response variable. The purpose of blocking is to reduce the variability of the response variable by reducing the differences between the experimental units within each block. In this experiment, the four different litters are the blocks. The pigs within each litter are expected to be more similar to each other than to pigs from other litters, so the blocks will reduce the variability of the response variable (e.g. weight gain, feed consumption) by accounting for the differences between the litters. The three different dietary supplements are the treatments that are being compared, and the 24 identical pens are the locations where the treatments are applied.
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