Fâ-statistics computed using maximum likelihoodâ estimators:
A.
can be used to test joint hypotheses.
B.
do not follow the standard F distribution.
C.
are not meaningful since the entire regression R² concept is hard to apply in this situation.
D.
cannot be used to test joint hypotheses.

Answer:

about 32 books (rounded)

Step-by-step explanation:

1412/135=32

To divide the test scores into five equal-width intervals, we first need to determine the range of the scores. The range is calculated by subtracting the smallest value from the largest value.

Given the scores: 45, 95, 69, 75, 90, 78, 50, 88, 89, 80, 77, 93, 30, 94, 99

The smallest value is 30 and the largest value is 99, so the range is 99 - 30 = 69.

To create five equal-width intervals, we divide the range by 5: 69 / 5 = 13.8 (approximately).

We can start by setting the lower bound of the first interval as the smallest value, which is 30. Then, we add the width (13.8) to get the upper bound of the first interval: 30 + 13.8 = 43.8 (approximately). The second interval would be from 43.8 to 57.6, the third from 57.6 to 71.4, the fourth from 71.4 to 85.2, and the fifth from 85.2 to 99.

Using these intervals, we can identify the smallest and largest values for each interval:

Interval 1: Smallest value = 30, Largest value = 43.8 (approximately)

Interval 2: Smallest value = 45, Largest value = 57.6 (approximately)

Interval 3: Smallest value = 69, Largest value = 71.4 (approximately)

Interval 4: Smallest value = 75, Largest value = 85.2 (approximately)

Interval 5: Smallest value = 88, Largest value = 99

Looking at the given statements, we can determine the true statement:

Statement a. "50 is the largest value in its interval" is false because 50 is not the largest value in any of the intervals.

Statement b. "77 is the largest value in its interval" is true because 77 is the largest value in Interval 4 (75 to 85.2).

Statement c. "93 is the smallest value in its interval" is false because 93 is not the smallest value in any of the intervals.

Statement d. "89 is the smallest value in its interval" is false because 89 is not the smallest value in any of the intervals.

Therefore, the true statement is b. "77 is the largest value in its interval."

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The solution of the inequality are n  ≤ -7 and n ≥ -12.

A compound inequality is an inequality that combines two simple inequalities.

Therefore, let's solve the compound inequality individually.

n + 2 ≤ −5 and  n + 6 ≥ −6

Hence,

n + 2 ≤ − 5

subtract 2 from both sides of the inequality

n + 2 - 2 ≤ − 5 - 2

n  ≤ -7

n + 6 ≥ −6

subtract 6 from both sides of the inequality

n + 6 ≥ −6

n + 6 - 6 ≥ −6 - 6

n ≥ -12

Therefore, n  ≤ -7 and n ≥ -12

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The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b. This equation represents the plane that is tangent to the graph of f at the specified point (a, b).

To find the equation for the tangent plane to the graph of the function f(x, y) = 2e^x - y at a given point (x0, y0), we need to calculate the partial derivatives of f with respect to x and y at that point.

The partial derivative of f with respect to x, denoted as ∂f/∂x or fₓ, represents the rate of change of f with respect to x while keeping y constant. Similarly, the partial derivative of f with respect to y, denoted as ∂f/∂y or fᵧ, represents the rate of change of f with respect to y while keeping x constant.

Let's calculate these partial derivatives:

fₓ = d/dx(2e^x - y) = 2e^x

fᵧ = d/dy(2e^x - y) = -1

Now, we have the partial derivatives evaluated at the point (x0, y0). Let's assume our point of interest is (a, b), where a = x0 and b = y0.

At the point (a, b), the equation for the tangent plane is given by:

z - f(a, b) = fₓ(a, b)(x - a) + fᵧ(a, b)(y - b)

Substituting fₓ(a, b) = 2e^a and fᵧ(a, b) = -1, we have:

z - f(a, b) = 2e^a(x - a) - (y - b)

Now, let's substitute f(a, b) = 2e^a - b:

z - (2e^a - b) = 2e^a(x - a) - (y - b)

Rearranging and simplifying:

z = 2e^a(x - a) - (y - b) + 2e^a - b

The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b.

This equation represents the plane that is tangent to the graph of f at the specified point (a, b).

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The uncertain digit in the measurement 127.4 mL is the last digit, which is 4.

In the given measurement of 127.4 mL, the implied uncertainty can be determined by considering the precision of the measurement.

The presence of one decimal place, after the digit 4, suggests that the measurement has a precision of 0.1 mL.

This means that the measurement is accurate to the nearest tenth of a milliliter.

The uncertain digit is the digit that represents the estimated or uncertain value. In this case, the uncertain digit is the last digit, which is 4.

It signifies that there is some level of uncertainty in the exact value of the measurement and that it could vary by ±0.1 mL.

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The probability of having a 2 on first roll, 3 on second roll and 4 on third roll is 1 / 216

A fair dice is a dice that is equally likely to land on any of its faces, meaning that each face has the same probability of facing up after a roll. The probability of getting a specific face on a fair dice is represented by the number of ways that face can appear divided by the total number of possible outcomes.

For a standard six-sided fair dice, the total number of possible outcomes is 6, since there are six faces on the dice. The probability of getting a specific face (for example, the number 4) is 1/6, because there is only one way to get that number out of the six possible outcomes.

The probability of landing 2 on first roll, 3 on second roll and 4 on third roll is given as;

P = (1/6 * 1/6 * 1/6)

P = 1 / 216

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Zorch would need to exert the opposing force for approximately 1.15 years to slow Earth's rotation to once per 35.0 hours.

To determine the time required for Zorch to accomplish his goal, we can follow the steps in the Problem-Solving Strategy for Rotational Dynamics:

Step 1: Identify what is given and what is asked for.

Given:

Force exerted by Zorch: 3.70×10^7 N

Desired period of Earth's rotation: 35.0 hours

Asked for:

Time Zorch must push with this force

Step 2: Identify the principle(s) or equation(s) needed to solve the problem.

The principle of rotational dynamics that we can use is:

Torque (τ) = Inertia (I) × Angular Acceleration (α)

Step 3: Set up the problem.

Zorch wants to slow down Earth's rotation, which means he wants to decrease its angular velocity. To do this, he needs to exert a torque in the opposite direction of Earth's rotation. The torque required can be calculated as:

τ = I × α

Step 4: Solve the problem.

The inertia (I) of Earth can be approximated as I = 0.330 × 10^38 kg·m² (a known value).

The angular acceleration (α) can be calculated using the equation:

α = Δω / Δt

Since Zorch wants to slow Earth's rotation to once per 35.0 hours, the change in angular velocity (Δω) is given by:

Δω = 2π / (35.0 hours)

Now, we can rearrange the equation τ = I × α to solve for time (Δt):

Δt = τ / (I × α)

Substituting the given values, we get:

Δt = (3.70×10^7 N) / (0.330 × 10^38 kg·m² × (2π / (35.0 hours)))

Evaluating this expression will give us the time required for Zorch to push with the given force. The result is approximately 1.15 years.

Therefore, Zorch must exert the opposing force for approximately 1.15 years to slow Earth's rotation to once per 35.0 hours.

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Answer:

not sure but i think its 12

Step-by-step explanation:

if you look carefully one side witch is 6 is have of side x and 6 x 2 is 12

hope this helps.

Answer:I think its 15 but I'm not sure

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Step 1:

1/2n + 3 = 6       Equation

Step 2:

1/2n = 3      Subtract 3 on both sides

Step 3:

n = 3 ÷ 1/2      Divide

Step 4:

n = 3 × 2      Flip the Fraction

Answer;

n = 6

Hope This Helps :)

Answer: Equation: 6x+ 5.76=34.14

Answer x=4.73

Step-by-step explanation

Just look at the answer on the website =/

Answer:

  see below

Step-by-step explanation:

The positive/negative information tells you the x-intercept is (-8, 0). The y-intercept information tells you the y-intercept is (0, 4). Those two points are sufficient to let you draw the graph with a drawing tool.

__

A "linear function" is a straight line. This one goes through the points listed above.

Answer:

if this is helpful to you...

plz do follow

Answer:

ur welcoem

Step-by-step explanation:

400 cupcakes in total

200 would be vanilla

so 100 would be chocolate and the remaining 100 should be funfetti

A: 100

The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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Let's simplify the expression step by step: Expand the squared term:

(x - 3y)² = (x - 3y)(x - 3y) = x² - 6xy + 9y²

Expand the second term:

3(x + y)(x − 4y) = 3(x² - 4xy + xy - 4y²) = 3(x² - 3xy - 4y²)

Expand the third term:

x(3x + 4y + 3) = 3x² + 4xy + 3x

Now, let's combine all the expanded terms:

(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)

= x² - 6xy + 9y² + 3(x² - 3xy - 4y²) + 3x² + 4xy + 3x

Combining like terms:

= x² + 3x² + 3x² - 6xy - 3xy + 4xy + 9y² - 4y² + 3x

= 7x² - 5xy + 5y² + 3x

The simplified form of the expression is 7x² - 5xy + 5y² + 3x.

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When w=3, the total number of jewelry designs posted is 86.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To find the total number of jewelry designs posted after a certain number of weeks, we can use the following formula:

d = 41 + 15w

where w is the number of weeks since starting the store.

To find the value of d when w=3, we can substitute w=3 into the formula:

d = 41 + 15(3)

d = 41 + 45

d = 86

Therefore, when w=3, the total number of jewelry designs posted is 86.

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Answer; present value of $12,200 to be received 4 years from today, with a discount rate of 5 percent, is $10,027.51.

The present value of $12,200 to be received 4 years from today can be calculated using the formula for present value. The formula is:

Present Value = Future Value / (1 + Discount Rate)^n

Where:
- Future Value is the amount to be received in the future ($12,200 in this case)
- Discount Rate is the interest rate used to discount future cash flows (5 percent in this case)
- n is the number of periods (4 years in this case)

Plugging in the given values into the formula:

Present Value = $12,200 / (1 + 0.05)^4

Calculating the exponent first:

(1 + 0.05)^4 = 1.05^4 = 1.21550625

Dividing the future value by the calculated exponent:

Present Value = $12,200 / 1.21550625

Calculating the present value:

Present Value = $10,027.51

Therefore, the present value of $12,200 to be received 4 years from today, with a discount rate of 5 percent, is $10,027.51.

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Answer:

7+x this is the answer ok

Answer:

18/x + 3

Step-by-step explanation:

This can be written algebraically as 18/x +3. This question is a little unclear, but I think it’s asking to write it as an equation

Answer:

y = 8

Step-by-step explanation:

Plug in the point and slope into the equation y = mx + b to solve for b:

8 = 0(4) + b

8 = b

Then, plug this back into the equation:

y = 0x + 8

y = 8 will be the equation

Answer: y=8

Step-by-step explanation:

concept to know: when it is a horizontal line, the slope is zero, when it is a vertical line, the slope is undefined.

---------------------

If it is required to have a slope of 0, then it is a horizontal line.

y=b (this is the equation for some line that slope is 0)

We then should find the b, or the y-intercept

The question did not provide us with a point of y-intercept, BUT since it is a horizontal line, the y value of any point is the same, including y-intercept (when x value is 0)

Therefore, the y-intercept will be (0, 8), and the equation will be

y=8

To find the solution set of the given homogeneous system, we can write it in augmented matrix form and perform row operations to obtain the parametric vector form. The augmented matrix for the system is:

[1 2 9 | 0]

[2 1 9 | 0]

[-1 1 0 | 0]

By performing row operations, we can reduce the augmented matrix to its row-echelon form:

[1 2 9 | 0]

[0 -3 -9 | 0]

[0 3 9 | 0]

From this row-echelon form, we can see that the system has infinitely many solutions. We can express the solution set in parametric vector form by assigning a parameter to one of the variables. Let's assign the parameter t to X2. Then, we can express X1 and X3 in terms of t:

X1 = -2t

X2 = t

X3 = -t

Therefore, the solution set of the given homogeneous system in parametric vector form is:

X = [-2t, t, -t], where t is a parameter.

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The binomials  5x-2yz are a factor of this expression

25x^2-4y^2z^2

This is further explained below.

Generally, A binomial is a kind of polynomial that is used in algebra and is defined as the sum of two terms, each of which is a monomial.

After monomials, this is the sort of sparse polynomial that is the easiest to understand.

The word "binomial" refers to an algebraic expression that consists of just two different terms. This is a polynomial with two terms.

25 x^2-4 y^2 z^2

Rewrite 25 x^2 as (5 x)^2.

(5 x)^2-4 y^2 z^2

Rewrite 4 y^2 z^2 as (2 y z)^2.

(5 x)^2-(2 y z)^2

Since both terms are perfect squares, factor using the difference of squares formula, a^2-b^2=(a+b)(a-b) where a=5 x and b=2 y z.

(5 x+2 y z)(5 x-(2 y z))

Simplify.

(5 x+2 y z)(5 x-2 y z)

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Answer:

means they all in or in high school

Step-by-step explanation: because 70 inches is the same as 5'10

so they are in high school

Answer:

-1

Step-by-step explanation:

slope = ΔY  / ΔX  = 5/(-5)=-1

We can proceed with conducting a z-test for one proportion to test whether the true proportion of players who win the game differs from 0.10.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Yes, the conditions for inference are met for conducting a z-test for one proportion.

The random condition is met because the sample is chosen randomly from the large population of all players.

The 10% condition is also met since the sample size (100) is less than 10% of the entire population.

The large counts condition is met because both np and n(1-p) are greater than or equal to 10, where n is the sample size and p is the hypothesized proportion of players who win the game. In this case, np = 100 * 0.1 = 10 and n(1-p) = 100 * 0.9 = 90.

Therefore, we can proceed with conducting a z-test for one proportion to test whether the true proportion of players who win the game differs from 0.10.

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Compounding continuously, it will take approximately 6.45 years for Tanisha to have $1,400. (Round to two decimal places as needed.)

Compounding monthly, Tanisha will need approximately 6.74 years to grow her $1,000 investment to $1,400 at a 5% annual interest rate.

For continuous compounding, we use the formula A = P * e^(rt), where A is the final amount, P is the principal, r is the annual interest rate, t is the time in years, and e is the base of the natural logarithm (approximately 2.71828). In this case, P = $1,000, A = $1,400, and r = 0.05. Solving for t:

$1,400 = $1,000 * e^(0.05t)

1.4 = e^(0.05t)

To find t, take the natural logarithm of both sides:

ln(1.4) = 0.05t

Now, divide by 0.05:

t ≈ ln(1.4) / 0.05 ≈ 6.45 years

So, compounding continuously, it will take approximately 6.45 years for Tanisha to have $1,400. (Round to two decimal places as needed.)

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(a) The probability that a wave will crash onto the beach exactly 0.6 seconds after the person arrives is: P(X = 0.6) = 0. b) P(1.5 < X < 2.3) = 0.511 c)  P(X > 1) = 0.7778.

A probability density function (PDF) expresses the likelihood at which a continuous random variable will take on a particular value. The integral of f(x) across a range is used to determine the likelihood that a continuous random variable X will fall within that range when the PDF f(x) is specified for that variable. Namely, the likelihood that X falls inside of the range [a,b].

The probability density function of random variable X in the interval [a, b] is given as:

f(x) = 1/(b-a), for a ≤ x ≤ b

and its cumulative distribution function is given by:

F(x) = (x-a)/(b-a), for a ≤ x ≤ b

(a) The probability that a wave will crash onto the beach exactly 0.6 seconds after the person arrives is:

P(X = 0.6) = 0, since the Uniform distribution is a continuous distribution and the probability of a specific value is always zero.

(b) For 1.5 and 2.3 seconds after the person arrives is:

P(1.5 < X < 2.3) = F(2.3) - F(1.5)

= (2.3 - 0)/(4.5 - 0) - (1.5 - 0)/(4.5 - 0)

= 0.5111

c) It will take longer than 1 second:

P(X > 1) = 1 - F(1)

= 1 - (1 - 0)/(4.5 - 0)

= 0.7778

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No, f(x, y) = 3x - 3y^2 is not a harmonic function.

A harmonic function is a twice continuously differentiable function f(x, y) that satisfies the Laplace equation:
                                                                            ∂²f/∂x² + ∂²f/∂y² = 0.

Let's check if f(x, y) = 3x - 3y^2 satisfies the Laplace equation:
∂²f/∂x² = ∂/∂x(3) = 0
∂²f/∂y² = ∂/∂y(-6y) = -6
∂²f/∂x² + ∂²f/∂y² = 0 + (-6) = -6 ≠ 0

Since the Laplace equation is not satisfied, f(x, y) = 3x - 3y^2 is not a harmonic function.

As for finding a corresponding analytic function, an analytic function is a function that is locally given by a convergent power series. Since f(x, y) is not a harmonic function, there is no corresponding analytic function.

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Answer:

The answer is -72/5.... also as 14.4

Answer:

Step-by-step explanation: first put in the value for x, 8(-6) -5y=24

Then solve from there, 8x-6= -48

-48-5y=24

-5y=24+48 ( becomes pos when transferred to this side, since it turns to the opposite direction )

Now, -5y=72

Decide both sides by -5 and then

Y = -14.4 or -14 2/5