For a fixed confidence level, when the sample size decreases, the length of the confidence interval for a population mean decreases.
a. True
b. False

The correct answer is 295.

If Allie's misunderstanding is not corrected, she might incorrectly subtract 9 from 304 and get an incorrect answer.

We have,

Based on the given information, Allie's misunderstanding is likely related to the concept of regrouping or borrowing when performing subtraction.

Allie may not have correctly subtracted the tens digit from the hundreds digit, resulting in an incorrect answer.

If Allie's misunderstanding is not corrected, her answer for 304 - 9 would also be incorrect.

Let's calculate it correctly:

When subtracting 9 from 304, we start with the one digit: 4 - 9.

However, since 4 is smaller than 9, we need to borrow from the tens digit. Therefore, we regroup 1 ten as 10 ones, making the tens digit 3 - 1 = 2, and the one's digit becomes 14 - 9 = 5.

Thus,

The correct answer is 295.

If Allie's misunderstanding is not corrected, she might incorrectly subtract 9 from 304 and get an incorrect answer.

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Answer:

N+F=42 & F+3N=70 System Solved: Natalie is 14 and Fred is 28

Step-by-step explanation:

Using variables N=natalies age and F=Freds age

N+F=42 ----> N=42-F (take this and plug it into the other equation)

F+3N=70 so F+3(42-F)=70 [simplify] F+126-3F=70 [further simplify]

-2F=-56 [divide -56 by -2] F=28 [then plug this number into the orig. equation]

So N+28=42 or N=14.

Answer:

A

Step-by-step explanation:

Because I am smart and u best mark me brainlist

(a) y = cx⁵ and 5x² + y² = k are do not satisfy the conditions for orthogonality.

(b) x² + y² = 2cy and x² + y² = 2kx potentially represent families of orthogonal functions .

(c) x² = y² + c and y = kx potentially represent families of orthogonal functions .

a. y = cx⁵ and 5x² + y² = k: Definitely incorrect. The equation 5x² + y² = k represents an ellipse, whereas the equation y = cx⁵ represents a polynomial function. These two functions do not satisfy the conditions for orthogonality.

b. x² + y² = 2cy and x² + y² = 2kx: Potentially correct. Both equations represent circles in the xy-plane. However, for them to be orthogonal functions, the centers of the circles need to coincide at the origin (0, 0). If the centers are at the origin, then these equations can be potentially correct as orthogonal functions.

c. x² = y² + c and y = kx: Potentially correct. The equation x² = y² + c represents a hyperbola, and the equation y = kx represents a straight line passing through the origin. If the hyperbola is centered at the origin and the line passes through the origin, then these equations can be potentially correct as orthogonal functions.

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Answer:

It's 40cm²

Step-by-step explanation:

Base times height.

Answer: y > -4 (red)

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

I just did this lesson and i just guessed, but i got it wrong and it said the answer was 4.5. basically, you multiply the fractions and the number value first,(like 1/6 X 0) and you do that to all of them. and then you add up all your answers, simplify them and put it in decimal form. and you get 4.5. hopefully that made enough sense.

Answer:

20 yards

Step-by-step explanation:

By the given ratio, the side measurements are 1x, 3x, 4x, 6x, and 9x

We are given the perimeter of this shape is 115. Therefore, 1x+3x+4x+6x+9x=115.

We can solve that for x, so we can find each side measurements' numerical value.

(1+3+4+6+9)x=115

(23)x=115

x=115/23

x=5

So the side measurements are:

1x=1(5)=5

3x=3(5)=15

4x=4(5)=20

6x=6(5)=30

9x=9(5)=45

The third longest sife is 20 yards.

Answer:

-822

Step-by-step explanation:

i just typed it in the calculator

but if you're doing it by hand, 1st multiply 4*12*3*6 and then subtract 42 from it

Answer:

9 876 391

Step-by-step explanation:

arrange the numbers in ascending order

9 876 391

subtract 40 from the number

9876431 - 40

9 876 391

(a) To calculate the final frequencies in the contingency table, we need to sum up the frequencies for each combination of variables. The final frequencies are as follows:

Size of restaurant: Seats 100 or fewer

- Excellent: 182

- Fair: 200

- Poor: 161

Size of restaurant: Seats over 100

- Excellent: 186

- Fair: 316

- Poor: 155

(b) To find the expected frequency for each cell in the contingency table, we can use the formula:

Expected Frequency = (row total * column total) / grand total

The expected frequencies for each cell in the contingency table are as follows:

Size of restaurant: Seats 100 or fewer

- Excellent: (513 * 368) / 1200 ≈ 157.60

- Fair: (513 * 516) / 1200 ≈ 220.95

- Poor: (513 * 356) / 1200 ≈ 151.77

Size of restaurant: Seats over 100

- Excellent: (557 * 368) / 1200 ≈ 171.53

- Fair: (557 * 516) / 1200 ≈ 237.85

- Poor: (557 * 356) / 1200 ≈ 164.62

(a) The final frequencies in the contingency table are obtained by summing up the frequencies for each combination of the variables "Size of restaurant" and "Rating." This gives us the observed frequencies for each category.

(b) The expected frequency for each cell is calculated using the formula mentioned above. It considers the row total, column total, and grand total of the contingency table.

The expected frequencies represent the frequencies we would expect to see in each cell if the variables were independent of each other. These values are used to assess the association between the two variables.

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Answer:

173.8 units

Step-by-step explanation:

If it's asking for a

139 * 1/4= x

34.75= x

34.75 + 139= 173.75

round to get 173.8

Decomposition theorem for finite generated modules over the PID $\mathbb{Z}(p) = \{a = (a, b) \in \mathbb{Z} \times \mathbb{Z} | p | ab\}.$

The decomposition theorem states that any finite generated module over a principal ideal domain can be written as a direct sum of finitely many cyclic submodules. Additionally, these cyclic submodules are uniquely determined up to isomorphism, which means that the module has a unique decomposition up to isomorphism. In the case of $\mathbb{Z}(p)$, we can write it as a direct sum of cyclic submodules generated by elements of the form $p^k$ for $k \in \mathbb{Z}$. This decomposition is unique up to isomorphism. The primary decomposition theorem enables us to represent a vector space as a direct sum of invariant subspaces by using the smallest polynomial of a matrix. It is essential to comprehending and interpreting the data the minimal polynomial provides.

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The exact time at which the maximum concentration occurs is given by: [tex]t = (ln(7/8) + 8) / 7[/tex]

To find the exact time at which the maximum concentration occurs, we need to determine the value of t that maximizes the concentration function c(t).

Given the concentration function:

[tex]c(t) = (D / (1 - (7/8))) * ((e^{-7t}) - (e^{-8}))[/tex]

To find the maximum concentration, we can differentiate c(t) with respect to t and set the derivative equal to zero, then solve for t.

Differentiating c(t) with respect to t:

[tex]c'(t) = (D / (1 - (7/8))) * ((-7e^{-7t}) - (-8e^{-8}))\\ = (D / (1 - (7/8))) * (-7e^{-7t} + 8e^{-8})[/tex]

Setting c'(t) equal to zero:

[tex](D / (1 - (7/8))) * (-7e^{-7t} + 8e^{-8}) = 0[/tex]

Since D is a positive constant, we can ignore it in the equation. So we have:

[tex]-7e^{-7t} + 8e^{-8} = 0[/tex]

[tex]-7 + 8e^{-8+7t} = 0\\8e^{-8+7t} = 7\\e^{-8+7t} = 7/8\\-8 + 7t = ln(7/8)\\7t = ln(7/8) + 8\\t = (ln(7/8) + 8) / 7[/tex]

Therefore, the exact time at which the maximum concentration occurs is given by: t = (ln(7/8) + 8) / 7

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Answer:

x = 5°

EF = 58°

GH = 55°

Step-by-step explanation:

From The diagram :

Recall ; Angle on a straight line = 180°

This means :

EF + FG + GH = 180

EF = (10x + 8)°

GH = (11x)°

FG = 67°

HENCE;

10x + 8 + 11x + 67 = 180

21x + 75° = 180°

21x = 180 - 75

21x = 105

x = 105 / 21

x = 5

EF = 10x + 8 = 50 + 8 = 58°

GH = 11x = 11 * 5 = 55°

Answer:

x = 25

Step-by-step explanation:

50 + 12x <_ 100

12x <_ 100 - 50

12x <_ 50

x <_ 50 / 12

x <_ 25

You can buy about 4 pizzas.

I didn't use the way that I probably should have but you can subtract 50 from 100 and then divide the 50 by 12 and you will get 4.1666667.

Answer:

37 yards

Step-by-step explanation:

Given data

Distance from house to the library= 18 yards

Distance from  the library to the post office= 288 feet

Total distance in yards, first let us have all units to yards

288ft to yard= 96 yards

Hence the total distance in yards is

=18+19

=37 yards

Answer:

67. 33 inches

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

Hope this helps have a great day

No.

The 3 angles of a triangle need to equal 180 degrees.

The sum of the 3 given angles is greater than 180 ( 160 + 20 + 20 = 200) so it cannot form a triangle.

Answer:

x = 1/2

Step-by-step explanation:

all of its sides are equal;

4x - 6 = 2x - 5

2x = 1 , x  = 1/2

Step-by-step explanation:

Add 4 to both sides: 5e^3x = 35, or

The inverse function is given by the set of points {(11, 2), (-4, 3), (-1, 4), (-14, 5), (1, 6)}, the domain of the inverse function is {11, -4, -1, -14, 1}, and the range of the inverse function is {2, 3, 4, 5, 6}.

To find the inverse of the one-to-one function defined by the given set of points {(2, 11), (3, -4), (4, -1), (5, -14), (6, 1)}, we need to swap the x-values with the y-values to obtain the reversed pairs of points.

The inverse function is {(11, 2), (-4, 3), (-1, 4), (-14, 5), (1, 6)}.

The domain of the inverse function is the set of all x-values from the original function, which in this case is {11, -4, -1, -14, 1}.

The range of the inverse function is the set of all y-values from the original function, which in this case is {2, 3, 4, 5, 6}.

Therefore, the inverse function is given by the set of points {(11, 2), (-4, 3), (-1, 4), (-14, 5), (1, 6)}, the domain of the inverse function is {11, -4, -1, -14, 1}, and the range of the inverse function is {2, 3, 4, 5, 6}.

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(a) S = {(1, 3), (3, 2), (-2, 6)} O linearly independent set, (b) S = {(1, -5, 4), (4, -20, 16)} O linearly dependent and (c) S = {(0, 0), (1, 0)} O linearly dependent.

(a) S = {(1, 3), (3, 2), (-2, 6)}

O linearly independent set

S is linearly independent because no vector in S can be expressed as a linear combination of the others, without considering the coefficients all equal to zero.

(b) S = {(1, -5, 4), (4, -20, 16)}

O linearly dependent

We can see that 4 × (1, −5, 4) = (4, −20, 16).

Thus, S is linearly dependent because there are non-zero scalars a,b that satisfies a(1, −5, 4) + b(4, −20, 16) = 0.

(c) S = {(0, 0), (1, 0)}

O linearly dependent

vector (0, 0) is a linear combination of (1, 0) because 0(1, 0) = (0, 0).

Thus, S is linearly dependent because there are non-zero scalars a,b that satisfies a(0, 0) + b(1, 0) = 0.

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The Y-intercept (b_0 = 14) represents the predicted value of Y when X is zero.

In the given prediction line equation, Y_i = 14 - 0.2X_i, the Y-intercept is represented by the term '14', which is the coefficient of the constant term.

The Y-intercept, denoted as b_0, represents the predicted value of the dependent variable (Y) when the independent variable (X) is equal to zero. In this case, when X is zero, the equation becomes:

Y_i = 14 - 0.2(0) = 14

Therefore, the Y-intercept (b_0 = 14) represents the predicted value of Y when X is zero. It is the point where the prediction line intersects the Y-axis. In practical terms, it means that when the independent variable has no effect or has a value of zero, the predicted value of the dependent variable is 14.

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The animation function in Matlab can be used to visualize the standing wave that is written as(, ) = sin(z) sin (2). Here are the steps to do it:

Step 1: Define the values of x, y, and z coordinates. Let's say we assume the values of x, y, and z coordinates as follows:x = 0:0.01:1;y = 0:0.01:1;z = 0:pi/100:pi;

Step 2: Use meshgrid to create a grid of coordinates from the x, y, and z vectors. This creates a matrix of coordinates that can be used in the sin function. [X,Y,Z] = meshgrid(x,y,z);

Step 3: Use the sin function to calculate the values of the standing wave at each point in the grid. s = sin(Z).*sin(2*X);

Step 4: Use the animation function to visualize the standing wave as it oscillates. Here is the code for this:for i = 1:size(s,3) surf(s(:,:,i)) view(2) shading interp axis tight caxis([-1 1]) drawnow end

The animation function displays the standing wave as it oscillates in the z direction. The surf function is used to create a surface plot of the wave at each time step. The view function sets the camera view to 2D, and the shading interp function interpolates the colors between the vertices of the surface plot. The axis tight function sets the limits of the x, y, and z axis to the range of the data.

The caxis function sets the color scale to -1 to 1, which corresponds to the range of the sin function. The drawnow function updates the plot at each time step.

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