how many additional groups would be required to conduct a 3 x 2 x 3 factorial design compared to a 3 x 2 x 2 design?

Answer:

x= -2

Step-by-step explanation:

Hope this helps.

Answer:

-102 = (-8×6 -8×-4x) -5x ( this is only for explanation write only this way as given below)

-102 = -48+32x -5x

-102 = -48+27x

-102+48= 27x

-54 = 27x

x = -54/27

x = -2 Ans

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Answer:

There is no valid value for b

Step-by-step explanation:

We solve the above question using the law of cosines

b² = a² + c² - 2ac × Cos B

B = 42°, a = 6, c = 4

b² = 6² + 4² - 2 × 6 × 4 × Cos 42

b =√6² + 4² - 2 × 6 × 4 × Cos 42

b = √36 + 16 - 48 × Cos 42

Solving the above question, there is no valid value for b

Answer:

  see below for the meaning of a, b, c, k, p, q.

Step-by-step explanation:

You want the minimum value of a quadratic function.

The extreme will be a minimum if the sign of the leading term is positive. It will be a maximum if the sign of the leading term is negative.

The standard form equation of a parabola is ...

  f(x) = ax² +bx +c

The x-coordinate of the extreme value (maximum or minimum) is ...

  x = -b/(2a)

The y-coordinate of the extreme value, the maximum or minimum, is ...

  y = -b²/(4a) +c

The extreme point is (-b/(2a), -b²/(4a) +c).

The vertex form equation of a parabola is ...

  f(x) = a(x -h)² +k

The coordinates of the vertex (extreme point) are (h, k).

The factored form of the equation of a parabola is ...

  f(x) = a(x -p)(x -q)

where p and q are the x-intercepts.

The coordinates of the extreme point are ((p+q)/2, -a/4(p-q)²).

__

Additional comment

As you can see, the way you find the minimum (or maximum) value depends on what you're starting with. In general that value is the y-value of the vertex. We have also shown the x-value of the vertex, because you may be asked for the coordinates of the minimum (or maximum) point.

You may see the quadratic function in other forms. Generally, those forms can be rearranged to one of these forms. Obviously, if you're looking for the vertex, the "vertex form" is the easiest place to start.

The value of 'a' is the leading coefficient in every case.

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To find the minimum value of a quadratic equation, you can use either the vertex formula or completing the square method. The minimum value occurs at the vertex of the parabola.

To find the minimum value of a quadratic equation, you can use either the vertex formula or completing the square method.

Vertex Formula:

Completing the Square:

By using either of these methods, you can find the minimum value of a quadratic equation.

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Step-by-step explanation:

hope it will help you.....

Answer:

x=9

Step-by-step explanation:

Use the intersecting chord theorem:

RE*ET = UE*ES

Substitute values

21 (2x+2) = 30 (x+5)

Expand:

42x+42 = 30x + 150

transpose and simplify

42x-30x = 150 - 42

12x = 108

x = 9

Answer:

the 3rd one hope this helps

Step-by-step explanation:

Answer:

1) 11x^3 - 6x - 3

2) 3x^3 + 4x^2 - 2x - 1

3) 9x^2 - 4

4) -4x^4 + 2x^3 - x^2

5) x^3 - 38x - 12

Step-by-step explanation:

1) (3x^4 + 5x^3 - 7x + 2) - (3x^4 - 6x^3 - x + 5)

Step 1: 3x^4 + 5x^3 - 7x + 2 - 3x^4 + 6x^3 + x - 5 (multiply the terms in the parenthesis by the constants, which are 1 and -1)

Step 2: 3x^4 - 3x^4 + 5x^3 + 6x^3 - 7x + x + 2 - 5 (reorganize the polynomial by exponential values (ex: x^4 before x^3 before x^1))

Step 3: 11x^3 - 6x - 3 (add like terms)

2) (3x^3 + 8x - 3) + (4x^2 - 10x + 2)

Step 1: 3x^3 + 8x - 3 + 4x^2 - 10x + 2 (multiply the terms in the parenthesis by the constants)

Step 2: 3x^3 + 4x^2 + 8x - 10x - 3 + 2 (reorganize the polynomial)

Step 3: 3x^3 + 4x^2 - 2x - 1 (add like terms)

3) (3x + 2)(3x - 2)

Step 1: 9x^2 - 6x + 6x - 4 (Use FOIL to multiply binomials, or multiply the first terms, outside terms, inside terms, then last terms)

Step 2: 9x^2 - 4 (add like terms)

4) -x^2(4x^2 - 2x + 1)

Step 1: (-x^2*4x^2) + (-x^2*(-2x)) + (-x^2*1) (multiply -x^2 by each term)

Step 2: -4x^4 + 2x^3 - x^2 (simplify; remember x^2 is the same as -1*x^2)

5) (x + 6)(x^2 - 6x - 2)

Step 1: ((x*x^2) + (x*(-6x)) + (x*(-2))) + ((6*x^2) + (6*(-6x)) + (6*(-2))) (multiply the first term in the binomial by each term in the trinomial, and do the same with the second term)

Step 2: x^3 - 6x^2 + 6x^2 - 2x - 36x - 12 (simplify and reorganize)

Step 3: x^3 - 38x - 12 (add like terms again)

The solid sphere will roll farther up the hill.

This can be explained by the distribution of mass in the two objects. The solid sphere has all its mass concentrated at its center, whereas the hollow cylinder has its mass distributed over its entire volume. When the objects roll up the hill, they both have the same initial kinetic energy, given by their forward speed v. However, as they move up the hill, some of this energy is converted into gravitational potential energy. In order to move up the hill, the objects must rotate as well as translate. The solid sphere has all its mass close to its axis of rotation, which means that it requires less energy to rotate as it moves up the hill. The hollow cylinder, on the other hand, has more of its mass farther from its axis of rotation, which means that it requires more energy to rotate as it moves up the hill. As a result, more of the initial kinetic energy of the hollow cylinder is converted into rotational energy, and less into gravitational potential energy, compared to the solid sphere. This means that the solid sphere will roll farther up the hill than the hollow cylinder.

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Answer:

1

Step-by-step explanation:

→ Write down slope formula

\(\frac{y2-y1}{x2-x1}\)

→ Identify the values

y₂ = 9, y₁ = 6, x₂ = 6 and x₁ = 3

→ Substitute in values into formula

\(\frac{9-6}{6-3}\)

→ Simplify

1

Maximum = n/n+1 and Minimum = 1/n+1

What is the uniform distribution?

Probability distributions with uniform distributions have outcomes that are all equitably likely. Results are discrete and have the same probability in a discrete uniform distribution. Results are continuous and infinite in a continuous uniform distribution. Data near the mean occur more frequently in a normal distribution.

Here, we have

Given: X1, X2,..., Xn is independent and identically distributed random variables having uniform distributions over (0,1).

a) Z = max{X₁, X₂....Xₙ}

Since Z is maximum so it is greater than X1, X2...Xn so cdf of Z will be

F(Z) = P(Z≤z) = P(X₁, X₂....Xₙ≤z) = P(X₁≤z, X₂≤z.....Xₙ≤z)

= P(X₁≤z)P(X₂≤z)....P(Xₙ≤z) = Fₓ(z)Fₓ(z).....Fₓ(z)

F(Z) = zⁿ

So pdf of Z is

F(z) = F'(z) = nzⁿ⁻¹

Expectation of Z is

F(Z) = \(\int\limits^0_1 {zf_Z(z)} \, dz\) = \(n\int\limits^0_1 {} \,\)zⁿdz

= n[zⁿ⁺¹/n+1]₀¹ = n/n+1

b) Let Y = min{X₁, X₂....Xₙ}

Since Y is the minimum so it is less than X1, X2...Xn so the cdf of Y will be

F(Y) = P(Y≤y) = 1 - P(Y>y) = 1- P(X₁, X₂....Xₙ≤z) = 1- P(X₁≤z, X₂≤z.....Xₙ>y)

= 1- P(X₁>y)P(X₂>y)....P(Xₙ>y) = 1- Fₓ(y)Fₓ(y).....Fₓ(y)

= 1 - [1-y]ⁿ

So pdf of Y is

F(y) = F'(y) = n[1-y]ⁿ⁻¹

The expectation of Y is

E(Y) = \(\int\limits^0_1 {yf_Y(y)} \, dy\) = ∫₀¹ yn(1-y)ⁿ⁻¹dy = 1/n+1

Hence, Maximum = n/n+1 and Minimum = 1/n+1

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Answer:

J

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

a = integer/whole number

Any whole number divided by 0 is 0.

0 is an integer/whole number.

Answer:

3/2 = 1/ 1/2

Step-by-step explanation:

1 1/5   divided by 4/5 is 1 1/2

Answer:

1

Step-by-step explanation:

4/5n=1-1/5n

so we collect the like terms

4/5n+1/5n=1

n=1

Answer:

the multiplacative inverse of ⅔ is 3/2 because when we multiply them both it returns 1

2/3 x 3/2 = 1

16th percentile of corn yield for counties in iowa is 153.4.

In statistics, a score below which a certain percentage of scores (k) in a frequency distribution falls is known as a k-th percentile, whereas a score at or below which a given percentage falls is known as a k-th centile (inclusive definition). The score below which (exclusive) or at which (inclusive) 50% of the scores in the distribution may be found is known as the 50th percentile (the median), for instance. For instance, if the input scores are related to human weight, the corresponding percentiles will be represented in kilograms or pounds. Percentiles are expressed in the same unit of measurement as the input scores.

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The measure of angle c is 136/6 degrees

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

∠l = (6c 35)°

Exterior of l = 79

As a general rule, the sum of an angle and its exterior is 180 degrees

This means that

6c - 35 + 79 = 180

Evaluate the like terms

So, we have

6c = 136

Divide both sides by 6

c = 136/6

Hence, the measure is 136/6 degrees

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Answer:

-8

yeah calculator ez lol

The new coordinates of points M and O is determined as;

M = (0.5, - 1)

O = (2.5, -2).

The new coordinate of points M and O after applying the scale factor is calculated as follows;

The given scale factor = 1/2

The current coordinates of point M and O is;

M = (1, - 2)

O = (5, - 4)

A scale factor can be used to either enlarge a figure or decrease a figure.

When the scale factor is less than 1, it means the new figure will be smaller than the original figure.

However, if the scale factor is greater than 1, the new figure will be greater than the original figure.

The new coordinates of points M and O is determined as follows;

M = (1 x 1/2,  -2 x 1/2) = (0.5, - 1)

O = (5 x 1/2, -4 x 1/2) = (2.5, -2)

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Answer: 13.1

Step-by-step explanation:

(2.5)+(7*9)/(5) = 2.5+63/5 = 65.5/5 = 13.1

Answer:

13.1

Step-by-step explanation:

Given rational expression:

\(\dfrac{m+(7 \cdot 9)}{n}\)

To determine the value of the given expression when m = 2.5 and n = 5, substitute the given values into the expression and solve.

\(\begin{aligned}m=2.5, n=5 &\implies \dfrac{2.5+(7 \cdot 9)}{5}\\\\&\implies \dfrac{2.5+63}{5}\\\\&\implies \dfrac{65.5}{5}\\\\&\implies \dfrac{65.5 \cdot 2}{5 \cdot 2}\\\\&\implies \dfrac{131}{10}\\\\&\implies 13.1\end{aligned}\)

Answer:

6 packages

Step-by-step explanation:

30/5 is 6

Answer:

the answer is 6

Step-by-step explanation:

30 divided by 5

Answer:

It's the same price.

Step-by-step explanation:

20% of $200 is $40. Either way, you get $40 off.

Answer:

x = 80°

Step-by-step explanation:

100° and x° are adjacent angles on a straight line and sum to 180° , that is

100° + x = 180° ( subtract 100° from both sides )

x = 80°

Answer:

10w

Step-by-step explanation:

→ Work out the length

4 × w = 4w

→ State width

w

→ Find perimeter

4w + 4w + w + w = 10w

Answer:

3,5

Step-by-step explanation:

To find the largest rectangle with its base on the x-axis that can be inscribed under the graph of y = xcos(x), we need to maximize the area of the rectangle.

The base of the rectangle will lie on the x-axis, so the height of the rectangle will be determined by the function y = xcos(x).

To find the maximum area, we need to locate the critical points of the function xcos(x). We can do this by finding where the derivative of the function equals zero or does not exist.

Taking the derivative of xcos(x) with respect to x, we have:

d/dx (xcos(x)) = cos(x) - xsin(x)

Setting this derivative equal to zero, we get:

cos(x) - xsin(x) = 0

We need to solve this equation to find the critical points.

Unfortunately, there is no exact algebraic solution for this equation. We can use numerical methods or graphing software to approximate the critical points.

Once we have the critical points, we can evaluate the function y = xcos(x) at these points to find the height of the rectangle.

Finally, we can calculate the area of the rectangle by multiplying the base (x-coordinate of the critical points) with the corresponding height (y = xcos(x)).

From the probability distribution for the number of defective items in a random sample, the expected value of X is 2.82.

To calculate the expected value of X, we need to multiply each possible value of X by its corresponding probability and sum them up.

The expected value of X, denoted as E(X) or μ, is calculated using the formula:

E(X) = ∑ (x * p(x))

where x represents each possible value of X and p(x) represents the corresponding probability.

In this case, the probability distribution for X is given as follows:

x: 0 1 2 3 4

p(x): 0.1 0.15 0.13 0.07 0.55

To calculate the expected value, we perform the following calculations:

E(X) = (0 * 0.1) + (1 * 0.15) + (2 * 0.13) + (3 * 0.07) + (4 * 0.55)

E(X) = 0 + 0.15 + 0.26 + 0.21 + 2.2

E(X) = 2.82

The expected value represents the average value or mean of the probability distribution. In this case, it represents the average number of defective items we expect to find in a random sample based on the given probabilities.

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Yes, Thea is correct.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Thea said that the expression 4x - 3x + 2 and x + 2 are equivalent.

Now, Expression are,

⇒ 4x - 3x + 2 and x + 2

Simplify as;

⇒ 4x - 3x + 2

⇒ x + 2

Thus, Both expression are equivalent.

Hence, Thea is correct.

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Answer:

V= π ⋅ 4y^2 ⋅ 9x

Step-by-step explanation:

Put the variables from the picture into the equation

r=4y

h=9x

(^2 means squared)

We can expect 76 teenagers to say yes whether they  preferred watching shows over the internet, rather than through cable.

To calculate the expected number of teenagers who would prefer watching shows over the internet, rather than through cable:

73%, which is equivalent to 0.73 prefer watching shows over the internet. (Given)

Total number of teenagers surveyed is 104. (Given)

Expected number of teenagers who prefer watching shows over the internet =

= 0.73  × 104

= 75.92

Since it is a discrete variable we cannot have a fractional part of a teenager, we need to round the solution to the nearest whole number. Rounding 75.92 to the nearest whole number gives us 76.

Therefore, we can expect 76 out of the 104 teenagers surveyed to say yes, they prefer watching shows over the internet, rather than through cable.

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