When experimenters use blocking in their
experimental design, randomization occurs
in the
A. assignment of experimental units to treatments within each
block
B. assignment of experimental units to different blocks
C. assignment of different treatments to different blocks

A polynomial f(x) of degree 4 with real coefficients is P(x) = x³- 10x² + 36x - 40

A polynomial function is a mathematical expression that involves only non-negative integer powers or positive integer exponents of a variable in an equation.

Since 4 - 2i is a zero, 4 + 2i is also a zero.

Then by substitution, we have the following

x = 2, x = 4 - 2i, x = 4 + 2i

x - 2 = 0, x - 4 + 2i = 0, x - 4 - 2i = 0

P(x) = (x - 2)(x - 4 + 2i)(x - 4 - 2i)

P(x) = (x - 2)(x2 - 8x + 20)  

P(x) = x³- 10x² + 36x - 40

Therefore the polynomial function is P(x) = x³- 10x² + 36x - 40

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Bekah has four brass house number digits: 2, 3, 5 and 7, and only has one of each number. She has to determine the number of distinct numbers that can be formed using one or more of the digits.

We need to find the number of distinct numbers that can be formed using one or more of the digits. Let's break down the given information into pieces to simplify our calculation.Bekah has four brass house number digits: 2, 3, 5 and 7.There is only one of each number.The number of digits Bekah has is 4.We need to find the distinct numbers that can be formed by using one or more of these digits.

One way to do this is by using permutations.The number of distinct numbers that can be formed using one or more of the digits is given by: 4P1 + 4P2 + 4P3 + 4P4where P stands for permutations.So, substituting the values, we get:4P1 + 4P2 + 4P3 + 4P4 = 4(1) + 4(3) + 4(6) + 4(24)= 4 + 12 + 24 + 96= 136Therefore, there are 136 distinct numbers that Bekah can form using one or more of the digits.

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Answer:

y=x-2

Step-by-step explanation:

y-y1=m(x-x1)

y-3=1(x-5)

y-3=x-5

y=x-5+3

y=x-2

Answer:

3:2

Step-by-step explanation:

Triangles ABC and PMN are similar.  This is evident from the marks identifying equal angles.

The ratio of the two longest sides is 20:30, or 2:3.

The ratio of the two shortest sides is 12:18, or 2:3.

Finally, the ratio of the two sides of intermediate length is 16:24, or 2:3.

The scale factor of the alrger triangle to the smaller triangle is 3:2.

The values of E(x), E(x²), the mean, the variance, and the standard deviation of the random variable van are: E(x) = 1152/48 = 24E(x²) = 5308416 Mean = 24 Variance, σ² = 5307840 Standard Deviation, σ = 2304 square root(10)

Given,Probability density function is f(x)

= x. [0, 48]We need to find E(x), E(x²), the mean, the variance, and the standard deviation.Now,The probability density function is defined as the integration of probability over a range of values. Thus,First, find the integration of f(x).Integration of f(x)

= x [0, 48]

= [1/2 * x²] [0, 48]

= (1/2 * 48²) - (1/2 * 0²)

= 1152E(x)

= integration of xf(x)

= integration of x²

= [1/3 * x³] [0, 48]

= 1/3 * (48)³

= 27648E(x²)

= integration of x²f(x)

= integration of x³

= [1/4 * x⁴] [0, 48]

= 1/4 * (48)⁴

= 5308416

The mean of a probability distribution is given by µ

=E(X)∴ Mean, µ

= 1152/48

= 24

The variance of a probability distribution is given by σ²

= E(X²) – [E(X)]²∴ Variance, σ²

= 5308416 – 24²

= 5308416 – 576

= 5307840Thus, σ²

= 5307840

The standard deviation of a probability distribution is given by σ

= square root(σ²)∴ Standard Deviation, σ

= square root(5307840)

= 2304 square root(10).

The values of E(x), E(x²), the mean, the variance, and the standard deviation of the random variable van are: E(x)

= 1152/48

= 24E(x²)

= 5308416 Mean

= 24 Variance, σ²

= 5307840 Standard Deviation, σ

= 2304 square root(10)

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I'm not sure about questions 7-10 tho, very sorry

Step-by-step explanation:

11) 5/7

12) 1/4

13) 7/10

14) 3/4

15) 2/9

16) 2/5

17) 13/30

18) 27/50

19) 5/16

20) 4/15

21) 1/24

22) 7/12

23) 1/20

24) 8/15

25) 11/45

Answers:

p = -10

p = -5

Step-by-step explanation:

90 < -30p + 15

Add -15 to both parts.

90 - 15 < -30p

75 < -30p

Divide both parts by -30.

75/-30 > p

Switch sides.

p < -2.5

The value of p has to be less than -2.5.

Answer: 12346

Step-by-step explanation:

Firstly, to round the decimal number 12345.6789 to its nearest whole number we will look at the tenth place. the digit to the immediate right of the decimal point.

Here in the given example 12345.6789, the tenth digit is 6.

If the tenth place digit is equal to or more than 5 we will round up and if it is less than 5 we will round down.

If the hundredth digit of the decimal number is equal to or more than 5, then round up.

Since the tenth digit 6 is >= 5 we will round up i.e. ( ones place digit + 1 ) and the remaining all digits next to the decimal point are removed.

Therefore, the number 12345.6789 rounded to the nearest whole number is 12346. if this is wrong im sorry but i think this is how i even double checked.

Answer:

84°

Step-by-step explanation:

angles in a quadrilateral add to 360°. 360-(114+76)=5x =170°. 170°/5 = 32°. x=32°

angles on a straight line add to 180°.

2x = 64°. 180-64=116°. y=116°.

y-x = 116-32 = 84°

Answer:

\(78\)

Step-by-step explanation:

The inner angles of a quadrilateral all add up to 360. This means we can write the following

\(114 + 76 + 3x + 2x = 360\\190 + 5x = 360\\5x = 170\\x = 34\)

Now that we have x we can find y. Notice that y and 2x are on the same line. Any line cutting another straight line will create two angles that add up to 180.

Therefore we can write

\(2x + y = 180\\2(34) + y = 180\\y = 112\)

Finally computing y - x

\(y - x = 112 - 34 = 78\)

The momentum magnitude observed in frame s' is √(15m^2c^4).

In special relativity, the relationship between energy (E) and momentum (p) is given by the equation:

E^2 = (pc)^2 + (mc^2)^2

where m is the rest mass of the particle, c is the speed of light, and p is the momentum of the particle.

In frame of reference s, the energy of the electron is given as 4mc^2. Plugging this into the equation, we have:

(4mc^2)^2 = (pc)^2 + (mc^2)^2

Simplifying this equation, we get:

16m^2c^4 = p^2c^2 + m^2c^4

Canceling out the common terms, we have:

15m^2c^4 = p^2c^2

Taking the square root of both sides, we get:

pc = √(15m^2c^4)

The momentum magnitude observed in frame s', denoted as p', is related to the momentum in frame s (p) by the relativistic velocity addition formula:

p' = γ(p - βE/c)

where γ is the Lorentz factor and β is the velocity of frame s' relative to frame s. Since the electron is moving along the x-axis, the velocity β is zero, and the Lorentz factor γ is equal to 1.

Therefore, the momentum magnitude observed in frame s' is the same as the momentum magnitude in frame s:

p' = p

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Answer: 416 in^2

Step-by-step explanation:

a. Area of the Triangle x 2 + Area of Rectangle x 3

b. 8 x 7 / 2 x 2 + 8 x 15 x 3 = 56 + 360 = 416 in^2

1. Western technology aided in the conquest and control of Asian and African peoples through superior military technology,  communication and transportation and industrial infrastructure

2.  The National Assembly was the revolutionary assembly formed by the Third Estate (commoners) in response to the Estates-General, which represented the three traditional orders of French society.

3. The first and second industrial revolutions had significant effects on society in the United States

1. Western technology aided in the conquest and control of Asian and African peoples through several means:

a) Superior military technology: Western powers had advanced weaponry, such as firearms, cannons, and warships, which gave them a significant advantage over local populations that often had limited access to such technology. This enabled Western powers to conquer and establish control over territories.

b) Communication and transportation: Western advancements in communication technology, such as telegraphs and railways, facilitated the coordination and control of distant colonies. This allowed for faster communication between colonial authorities and centralized control over vast territories.

c) Industrial infrastructure: Western industrialization brought with it the ability to exploit resources and establish extractive economies in colonies. The construction of railways, ports, and other infrastructure supported the extraction and transportation of resources back to the colonizing nations.

2. The National Assembly played a crucial role in the conflicts that developed in France after 1789, particularly during the French Revolution. The National Assembly was the revolutionary assembly formed by the Third Estate (commoners) in response to the Estates-General, which represented the three traditional orders of French society.

a) Legislative power: The National Assembly functioned as the primary legislative body during the revolution. It passed key laws and decrees, including the Declaration of the Rights of Man and of the Citizen, which established fundamental rights and principles.

b) Political factions: The conflicts in France after 1789 involved different political factions and ideologies. The National Assembly became a battleground for these factions, including the Girondins and Jacobins, leading to political divisions and power struggles.

c) Transition to constitutional monarchy and republic: The National Assembly played a role in the transition from an absolute monarchy to a constitutional monarchy and eventually to a republic. It abolished feudal privileges, established a constitutional framework, and enacted reforms that transformed the political landscape of France.

3. The first and second industrial revolutions had significant effects on society in the United States, although with some distinct differences:

a) First Industrial Revolution (late 18th to early 19th century):

b) Second Industrial Revolution (late 19th to early 20th century):

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The first set of data has the strongest linear association

A line of best fit is a straight line that minimises the distance between it and a certain piece of data. In a scatter plot with multiple data points, the line of best fit is used to illustrate a connection. It was created through regression analysis and is used to forecast indicators and price swings.

Given:

There are four scatter plot graphs.

When the line of the best fit goes through almost all of the middle points,

The strongest line of best fit is then used.

A strong positive association can be seen in the upper left scatter graph.

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Answer:

y=-x-2 this is the answer

Let \(\(a\)\) and \(\(b\)\) be integers such that \(\(ab = 4\)\). We want to prove that \(\((a - b)^3 - 9(a - b) = 0\).\)

Starting with the left side of the equation, we have:

\(\((a - b)^3 - 9(a - b)\)\)

Using the identity \(\((x - y)^3 = x^3 - 3x^2y + 3xy^2 - y^3\)\), we can expand the cube of the binomial \((a - b)\):

\(\(a^3 - 3a^2b + 3ab^2 - b^3 - 9(a - b)\)\)

Rearranging the terms, we have:

\(\(a^3 - b^3 - 3a^2b + 3ab^2 - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\(a^3 - b^3 - 3a^2(4) + 3a(4^2) - 9a + 9b\)\)

Simplifying further, we get:

\(\(a^3 - b^3 - 12a^2 + 48a - 9a + 9b\)\)

Now, notice that \(\(a^3 - b^3\)\) can be factored as \(\((a - b)(a^2 + ab + b^2)\):\)

\(\((a - b)(a^2 + ab + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Simplifying further, we get:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\)

Now, we can observe that \(\(a^2 + 4 + b^2\)\) is always greater than or equal to \(\(0\)\) since it involves the sum of squares, which is non-negative.

Therefore, \(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\) will be equal to \(\(0\)\) if and only if \(\(a - b = 0\)\) since the expression \(\((a - b)(a^2 + 4 + b^2)\)\) will be equal to \(\(0\)\) only when \(\(a - b = 0\).\)

Hence, we have proved that if \(\(ab = 4\)\), then \(\((a - b)^3 - 9(a - b) = 0\).\)

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A) 90% confidence interval for the average cost of a repair at this repair shop $127.95 ± $6.40.

B) The correct statement is "We are 98% confident that the mean amount of money customers spend at Starbucks is between $5.45 and $6.15." A 98% confidence interval for the mean is a range of values within which we are 98% confident the true mean lies.

A) Using a t-distribution with 39 degrees of freedom (sample size minus 1), a 90% confidence interval for the population mean repair cost can be calculated as:

127.95 ± t_{0.05/2, 39} * 24/√40

where \($t_{0.05/2, 39}$\) is the t-score for the 0.05/2 = 0.025 percentile (upper and lower tails) with 39 degrees of freedom. From a t-table, we find \($t_{0.025, 39} \approx 2.0227$\).

Substituting values, we get:

\($127.95 \± 2.0227 * \frac{24.03}{\sqrt{40}} \approx 127.95 \± 6.39$\)

Therefore, an approximate 90% confidence interval for the average cost of a repair at this repair shop is

$127.95 ± $6.39, which can be expressed as the interval [$121.56, $134.34].

So, the answer is $127.95 ± $6.40.

B)  The correct statement is: "We are 98% confident that the mean amount of money customers spend at Starbucks is between $5.45 and $6.15." This statement reflects the interpretation of a confidence interval, which is a range of values calculated from a sample that is likely to contain the true population parameter with a certain degree of confidence. It is important to note that this statement refers to the population parameter, not just the sample mean.

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Answer:

6

Step-by-step explanation:

8x-3x-10=20

5x-20=10

5x=30

x=6

Answer:

x=6

Step-by-step explanation:

Answer:Exact Form:

g=10/3

Decimal Form:

g=3. ¯3

Mixed Number Form:

g=3 1/3

Step-by-step explanation:

The value of the expression p²m−(np+r) is -2036 after plugging the values of m=−32 , n=2 , p=−8 , and r=4.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

The expression is:

= p²m−(np+r)

Plug m = -32, n = 2, p = -8, and r = 4 in the expression:

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

= (-8)²(-32) − (2×[-8] + 4)

= (64)(-32) − (-2×8 + 4)

= -2048 − (-16 + 4)

= -2048 + 12

= -2036

Thus, the value of the expression p²m−(np+r) is -2036 after plugging the values of m=−32 , n=2 , p=−8 , and r=4.

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The Answer is 0.08 or 8/100.

SOLUTION:

Gym  (G)

Swimming pool (S)

Track (T)

P(G U S U T) = P(G) + P(S) + P(T) - P(G Intersection S) - P(G Intersection T) - P(S Intersection T) + P(G Intersection S Intersection T)

Note: U means Union (Or) and Intersection ∩ means (And)

then,

P(G U S U T) = 67/100 + 62/100 + 56/100 - 38/100 - 31/100 - 33/100 + 16/100

P(G U S U T) = (67 + 62 + 56 - 38 - 31 - 33 + 16)/100

P(G U S U T) = 99/100 or 0.99

then the probability that somebody uses at any of the 3 facilities is 99/100.

Total people that use at least 2 facilities = 16+22+15+17 = 70

now, 70-62=8

probability of a randomly selected person using the gym and track and not using the swimming pool is 8/100 = 0.08

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For the expression (3m⁴n)³(2m²n⁵p)/6m⁴n⁹p⁸, the simplified-value is 9m¹⁰n⁻¹p⁻⁷.

To simplify the expression (3m⁴n)³(2m²n⁵p)/6m⁴n⁹p⁸, we first use the exponent-rule that states (qᵃ)ᵇ = qᵃᵇ to simplify the first part of the expression:

⇒ (3m⁴n)³ = 3³(m⁴)³n³ = 27m¹²n³;

Next, we can simplify the denominator by using the rules of exponents to combine the like terms:

⇒ 6m⁴n⁹p⁸ = 2×3m⁴n⁹p⁸;

Substituting the values,

We get;

⇒ (27m¹²n³)×(2m²n⁵p)/(2*3m⁴n⁹p⁸);

Simplifying the expression by cancelling out the common factors, we get:

⇒ 9m¹⁰n⁻¹p⁻⁷;

Therefore, the simplified-value is : 9m¹⁰n⁻¹p⁻⁷.

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The given question is incomplete, the complete question is

What is the simplified form of the expression below (3m⁴n)³(2m²n⁵p)/6m⁴n⁹p⁸;

Answer:

9 cups!

Step-by-step explanation:

I cup = 1 liter

? cups = 9 liter

1 * 9 = 9

so ? * 1 = 9

? = 9

Answer:

The answer is

Step-by-step explanation:

59 cups

sry if im wrong

Answer:

no solution

Step-by-step explanation:

Your question is in the form:

absval of something

= a NEGATIVE number



The absolute value is always positive. So it can never be negative.

There are no values that x can be that will make this math sentence true.

It's not really a trick question, but the course/teacher/book/program just wants you to recognize that an absolute value CANNOT be negative.

In descriptive statistics, we measure central tendency, variability, and skewness of a dataset. A few interesting things that we can notice are:

Continuous Variables Skewness: The skewness of the continuous variables distribution is a measure of asymmetry in the distribution. The distribution of the continuous variables is said to be skewed if the mean and median differ significantly from each other. We interpret the skewness by checking the location of the tail. If it is on the left, it is negatively skewed and if it is on the right, it is positively skewed. If the skewness is zero, the distribution is symmetrical.

Means of Dummy Variables: The dummy variables contain values of 0 and 1. The means of the dummy variables can be interpreted as proportions. If the mean is 0.6, it indicates that 60% of the observations have a value of 1. We can compare the means of the dummy variables to see which one has a higher proportion. This can be useful in many applications such as marketing research, where we can compare the proportion of people who prefer one product over another.

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Answer:

The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence.

Step-by-step explanation:

Equivalent algebraic expressions are those expressions which on simplification give the same resulting expression.

Two algebraic expressions are said to be equivalent if their values obtained by substituting any values of the variables are same.

Two expressions 3f+2.6 and 2f+2.6 are not equivalent, because when f=1,

3f+2.6=3.1+2.6=3+2.6=5.6

2f +2.6=2.1+2.6=2+2.6=4.6

5.6≠   4.6

Method of substitution can only help her to decide the expresssions are not equivalent, but if she wants to prove the expressions are equivalent, she must prove it for all values of f.

3f+2.6=2f+2.6

3f=2f

3f-2f=0

f=0

This is true only when f=0.

Hence,

The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence.

this what i know

Answer:

C) The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence. ヾ(^▽^*)))

Step-by-step explanation:

Answer:

25% of 129 is $32.25. So, 129 - 32.25 = $96.75.

Step-by-step explanation:

Answer:

The new sales price of the Nikes is $96.75

Step-by-step explanation:

If the discount is 25% off, then the new sales price of the Nikes would be 75% of the original price. 129 * 75% = \(\frac{9,675}{100}\) = $96.75.

Answer:

y1=4

x2=7

y2=-3

Using trigonometric relations we can see that:

y = 20

x = 40

Here we can see a right triangle and we want to find the missing side lengths, to do so we need to use trigonometric relations.

Remember that:

tan(a) = (opposite cathetus)/(adjacent cathetus)

Replacing what we know we will get:

tan(60°) = 20√3/y

Solving for x:

y = 20√3/(tan(60°)

y = 20

And for the hypotenuse we can use:

sin(a) = (opposite cathetus)/hypotenuse

sin(60°) = 20√3/x

Solving for y:

x =  20√3/sin(60°)

x  = 2*20 = 40

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