Let X be the number of screws delivered to a box by an automatic filling device.

Assume = 1000 and

2 = 25. There are problems with too many screws going

into the box or too few screws going into the box.

a. How many units to the right of is 1009? (5 marks)

b. What X value is 2. 6 units to the left of ? (4 marks​

Answer:

15

Step-by-step explanation:

_×_=+

.................

The answer is:

15

Work/explanation:

Subtracting a negative is the same as adding a positive:

\(\sf{a-(-b)=a+b}\)

Similarly,

\(\sf{5-(-10)=5+10=15}\)

Hence, the answer is 15.

A. The power of the two-tailed hypothesis test with α = .05 is 0.53.

B. The power of the one-tailed hypothesis test with α = .05 is 0.95.

A hypothesis test is used to make decisions about a population based on sample data. It involves specifying a null hypothesis, collecting data, and then assessing the data to either reject or accept the null hypothesis.

A. The power of the two-tailed hypothesis test is calculated using the formula:

Power=

1- β=1- (1-α)\(^{1/2}\)

=1- (1-0.05)\(^{1/2}\)

=0.525

=0.53

This means that the researcher has an 53% chance of correctly rejecting the null hypothesis that there has been no change in the IQ over the past 10 years.

B. The power of the one-tailed hypothesis test is calculated using the formula:

Power=

1- β=1- α

=1- 0.05

= 0.95

This means that the researcher has a 95% chance of correctly rejecting the null hypothesis that there has been no increase in the IQ over the past 10 years.

This is a higher power than the two-tailed test because the one-tailed test focuses on detecting an increase in the IQ, while the two-tailed test can detect both an increase or decrease in the IQ.

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Answer:

It is the distance of x from zero. Examples:The absolute value

of 5 is 5.

The absolute value of -10 is 10.

(Complex numbers) The absolute value of 4 + 3 is 5.

Step-by-step explanation:

Answer: 120

Step-by-step explanation: divide 24 by 5 to get 4.8 so its 4.8 minutes for one question

25 x 4.8 = 120

Answer:

i need a photo or an equation TvT

Step-by-step explanation:

TvT TvT TvT

Answer: x=-3    x=2    x=-0,5

Step-by-step explanation:

2x³+3x²-11x-6=

2x³+(6x²-3x²)-11x-6=

(2x³+6x²)-3x²-11x-6=

2x²(x+3)-(3x²+11x+6)=

2x²(x+3)-(3x²+(9x+2x)+6)=

2x²(x+3)-((3x²+9x)+(2x+6))=

2x²(x+3)-(3x(x+3)+2(x+3))=

2x²(x+3)-(x+3)(3x+2)=

(x+3)(2x²-(3x+2))=

(x+3)(2x²-3x-2)=

(x+3)(2x²-4x+x-2)=

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

(x+3)(x-2)(2x+1)

(x+3)(x-2)(2x+1)=0

x+3=0

x=-3

x-2=0

x=2

2x+1=0

2x=-1

Divide both parts of the equation by 2:

x=-0.5

Answer:

Step-by-step explanation:

Base angles are congruent.

\(\tt y=128^o\)

Let's solve for x first:-

\(\tt x+y=180^o\)

\(\tt x=180-y\)

\(\tt x=180-128\)

\(\tt x=52^o\)

Therefore, x = 52° and y = 128°

_________________

Hope this helps you!

Have a nice day! :)

Using Pythagorean theorem, the length of the shortcut will be 93.94 m.

What is Pythagorean Theorem?

The Pythagorean Theorem is a mathematical basic that outlines the connection between the sides of a right triangle. It says that the square of the hypotenuse (the longest side) of a right triangle equals the sum of the squares of the other two sides (the adjacent and opposite sides). The Pythagorean Theorem may be stated in equation form as:

a² + b² = c²,

where "a" and "b" are the perpendicular and base of the right triangle, and "c" is the length of the hypotenuse.

Now,

As given here in graph

a=85

b=40

then c²=85²+40²

=7225+1600

c=√8825

c=93.94 m

Hence,

           the length of the shortcut will be 93.94 m.

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Answer:

2/3

Step-by-step explanation:

The unit tangent vector T(t) and unit normal vector N(t) for the vector function r(t) = (5√2t, est, e-st) are found. T(t) = (5/√(8+e2t+e-2t), e-2t/√(8+e2t+e-2t), e2t/√(8+e2t+e-2t)), and N(t) = (e2t/√(8+e2t+e-2t), e-2t/√(8+e2t+e-2t), 5/√(8+e2t+e-2t)).

To find the unit tangent vector T(t), we differentiate r(t) with respect to t, and then divide the resulting vector by its magnitude. The derivative of r(t) with respect to t gives r'(t) = (√2, est, -e-st), and the magnitude of r'(t) is |r'(t)| = √(8+e2t+e-2t). Dividing r'(t) by |r'(t)| gives the unit tangent vector T(t) = (5/√(8+e2t+e-2t), e-2t/√(8+e2t+e-2t), e2t/√(8+e2t+e-2t)).

To find the unit normal vector N(t), we take the derivative of T(t) with respect to t, and then divide the resulting vector by its magnitude. The derivative of T(t) with respect to t can be found by differentiating each component of T(t) with respect to t. After simplification, we obtain T'(t) = (0, -2e-2t/√(8+e2t+e-2t), 2e2t/√(8+e2t+e-2t)). The magnitude of T'(t) is |T'(t)| = 2/√(8+e2t+e-2t). Dividing T'(t) by |T'(t)| gives the unit normal vector N(t) = (e2t/√(8+e2t+e-2t), e-2t/√(8+e2t+e-2t), 5/√(8+e2t+e-2t)).

In conclusion, the unit tangent vector T(t) is (5/√(8+e2t+e-2t), e-2t/√(8+e2t+e-2t), e2t/√(8+e2t+e-2t)), and the unit normal vector N(t) is (e2t/√(8+e2t+e-2t), e-2t/√(8+e2t+e-2t), 5/√(8+e2t+e-2t)). These vectors provide information about the direction of motion and curvature of the curve described by the vector function r(t).

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The turning point of a parabola, also called the vertex, is the point on the parabola where the graph changes from increasing to decreasing, or from decreasing to increasing.

What is parabola?

A parabola may be a formed plane curve wherever any point is at an equal distance from a fixed point (known because the focus) and from a fixed line that is known because the directrix.

Main BODY:

When a graph is rising from left to right, we say that it is increasing. When a graph is falling from left to right, we say that it is decreasing. The points at which this trend changes in a graph are called the turning points of the graph. Since a parabola has the shape of a U or an upside down U, it has exactly one turning point, which we can identify using the following facts:

Hence ,The turning point of a parabola is called the vertex.

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Answer: 69

Step-by-step explanation: Percent multiplied by the total number of students: 8/100 x 75 = 600/100. (remember it is 8/100 because it’s 8%.)

Then you simplify which will then get you 6.

Afterwards you need to subtract those 6 students from the group of 75. 75-6=69. So, 69 students.

The winning raffle ticket to losing raffle ticket ratio is 4 to 9. Mr. Ticket buys 117 raffle tickets, he expect to have 36 winning tickets.

We know the ratio of winning to loosing ticket is 4:9

Sum of ratio = 4 + 9 = 13

Winning tickets = (4 / 13) × 117

= 4 × 9

= 36

In mathematics, a ratio is a phrase used to compare two or more numbers. It is used to express how large or tiny an amount is in comparison to another. A ratio compares two quantities by dividing them. The dividend is referred to as the "antecedent," while the divisor is referred to as the "consequent."

Ratios are divided into two sorts. The first is a part-to-part ratio, and the second is a part-to-whole ratio. The part-to-part ratio expresses the relationship between two distinct entities or groupings.

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Answer:

do you have a equation to go with x?

Step-by-step explanation:

Answer:

x = 1 and y = 4

can be written (1, 4)

Step-by-step explanation:

If the directions say to solve the system, or solve for x and y, then you can do the following:

Use substitution.

y = 7x - 3

y = -5x + 9

These are both equal to y, so we can set them equal to each other.

7x - 3 = -5x + 9

add 5x to both sides

12x - 3 = 9

add 3 to both sides

12x = 12

divide both sides by 12

x = 1

Put this information into one of the original equations (doing both is a good check, you should get the same answer both times)

y = 7x - 3

put x = 1 into the eq.

y = 7(1) - 3

y = 7 - 3

y = 4

check using the other equation

y = -5x + 9

put x = 1 in

y = -5(1) + 9

y = -5 + 9

y = 4

The solution to the system of equations is (1, 4)

Answer:

you can create  2 groups of 8 and you will have a group of 4 left

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

U is the midpoint of TV, so mTU is half of mTV or mTV = 2 * mTU, so

mTV = 2 * mTU

11x + 8 = 2 (6x)

11x + 8 = 12x

8 = x

mTV = 11x + 8 = 11(8) + 8 = 88 + 8 = 96

Answer:

\(SA = 2.94 \, \textrm{units}^2\)

Step-by-step explanation:

The surface area of a regular 3D figure can be represented as:

\(SA = A_{\textrm{\,1 side}} \cdot (\# \textrm{ of sides})\).

Therefore, the surface area of a cube is:

\(SA = s^2 \cdot 6\)

where \(s\) is the length of a side.

To solve this problem, simply input the given side length into the above formula:

\(SA = 0.7^2 \cdot 6\)

and simplify.

\(SA = 0.49 \cdot 6\)

\(SA = 2.94 \, \textrm{units}^2\)

To rewrite the linear system into the matrix equation form Ax=b, we need to identify the coefficients of x, y, and the constants in each equation.

The given system of equations is:
4x + y = 4
-x - y = 7

To form the matrix equation Ax=b, we can identify the coefficients:
A = [[4, 1], [-1, -1]]
x = [[x], [y]]
b = [[4], [7]]

So the matrix equation form is:
[[4, 1], [-1, -1]] * [[x], [y]] = [[4], [7]]

b. The given system of equations is:
x + y - 5z = 4
2x - y - 4z = 5
-3x + 2y + 5z = -7

To form the matrix equation Ax=b, we can identify the coefficients:
A = [[1, 1, -5], [2, -1, -4], [-3, 2, 5]]
x = [[x], [y], [z]]
b = [[4], [5], [-7]]

So the matrix equation form is:
[[1, 1, -5], [2, -1, -4], [-3, 2, 5]] * [[x], [y], [z]] = [[4], [5], [-7]]

c. The given system of equations is:
x1 + 2x2 - 3x3 - 7x4 = 1
-2x1 + 5x2 - x3 + 4x4 - 9x3 = 2

To form the matrix equation Ax=b, we can identify the coefficients:
A = [[1, 2, -3, -7], [-2, 5, -1, 4]]
x = [[x1], [x2], [x3], [x4]]
b = [[1], [2]]

So the matrix equation form is:
[[1, 2, -3, -7], [-2, 5, -1, 4]] * [[x1], [x2], [x3], [x4]] = [[1], [2]]

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a. The matrix equation form Ax = b for the given system is:
|4  1||x|   |4|
|-1 -1||y| = |7|

b. The matrix equation form Ax = b for the given system is:
|1   1  -5||x|   |4|
|2  -1  -4||y| = |5|
|-3  2   5||z|   |-7|

c. The matrix equation form Ax = b for the given system is:
|1   2  -3  -7||x₁|   |1|
|-2  5   4   1||x₂| = |2|

a. The given system of equations is:
4x + y = 4
-x - y = 7

To rewrite it in matrix equation form Ax = b, we need to arrange the coefficients of x and y in a matrix A, the variables x and y in a matrix x, and the constants on the right side of the equation in a matrix b.

The matrix A will contain the coefficients of x and y:
A = |4  1|
      |-1 -1|

The matrix x will contain the variables x and y:
x = |x|
      |y|

The matrix b will contain the constants on the right side:
b = |4|
      |7|

So, the matrix equation form Ax = b for the given system is:
|4  1||x|   |4|
|-1 -1||y| = |7|

b. The given system of equations is:
x + y - 5z = 4
2x - y - 4z = 5
-3x + 2y + 5z = -7

To rewrite it in matrix equation form Ax = b, we need to arrange the coefficients of x, y, and z in a matrix A, the variables x, y, and z in a matrix x, and the constants on the right side of the equation in a matrix b.

The matrix A will contain the coefficients of x, y, and z:
A = |1   1  -5|
      |2  -1  -4|
      |-3  2   5|

The matrix x will contain the variables x, y, and z:
x = |x|
      |y|
      |z|

The matrix b will contain the constants on the right side:
b = |4|
      |5|
      |-7|

So, the matrix equation form Ax = b for the given system is:
|1   1  -5||x|   |4|
|2  -1  -4||y| = |5|
|-3  2   5||z|   |-7|

c. The given system of equations is:
x₁ + 2x₂ - 3x₃ - 7x₄ = 1
-2x₁ + 5x₁ - x₂ + 4x₃ + x₄ - 9x₃ = 2

To rewrite it in matrix equation form Ax = b, we need to arrange the coefficients of x₁, x₂, x₃, and x₄ in a matrix A, the variables x₁, x₂, x₃, and x₄ in a matrix x, and the constants on the right side of the equation in a matrix b.

The matrix A will contain the coefficients of x₁, x₂, x₃, and x₄:
A = |1   2  -3  -7|
      |-2  5   4   1|

The matrix x will contain the variables x₁, x₂, x₃, and x₄:
x = |x₁|
      |x₂|
      |x₃|
      |x₄|

The matrix b will contain the constants on the right side:
b = |1|
      |2|

So, the matrix equation form Ax = b for the given system is:
|1   2  -3  -7||x₁|   |1|
|-2  5   4   1||x₂| = |2|

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Answer:

To find the number of courts with doubles matches, we need to determine the total number of players playing doubles. If each court with a doubles match has 4 players, then the total number of players playing doubles would be 4 times the number of courts playing doubles.

Since there are 28 players in total, and each court with a singles match has 2 players, the number of players playing singles would be 28 - 4x, where x is the number of courts playing doubles.

Since each court with a singles match has 2 players, the number of courts playing singles would be 28/2 = 14.

So, 28 - 4x = 14, and solving for x, we get x = 7.

Therefore, there are 7 courts with doubles matches and 14 courts with singles matches.

answer:

63 inches squared

step-by-step explanation:

1 ft = 12 inches (conversion)

12 X 6 = 72 in^2 (area of the whole rectangle)

3 X 3 = 9 in^2 (area of the not shaded portion)

72 - 9 = 63

- - > 63 inches squared

Answer:

Step-by-step explanation:

x^6 − (3x^4)/2 + (3x^2)/4 − 1/8

The volume of a cube is Length^3.

If a length is (x^2-1/2, then cube root it

It will then be (x^2-1/2) x (x^2-1/2) x (x^2-1/2).

FOIL each term and evaluvate

\(\\ \sf\longmapsto volume=side^3\)

\(\\ \sf\longmapsto volume=(x^2-1/2)^3\)

\(\\ \sf\longmapsto volume=(x^2)^3-3x^4(1/2)+3x^2(1/2)^2-(1/2)^3\)

\(\\ \sf\longmapsto Volume=x^6-3x^4/2+3x^2/4-1/8\)

Answer:

y=1 1/9x

Step-by-step explanation:

I took the k12 test

Answer:

y=1 1/9x

Step-by-step explanation:

I took the test

Answer: The term in this expression is D. -3x

A term in an expression is a single mathematical entity, such as a variable or a constant. In the expression -3x - 7(x + 4), -3x is a term on its own, it is the product of -3 and x, and it doesn't have any other mathematical operation.

-7 is a constant, but it is not a term on its own because it has an operation with another term (x + 4)

(x + 4) is a term as well, it is the sum of x and 4.

So the term in this expression is -3x

Step-by-step explanation:

Adjust the parameters as needed, such as the step size (h) and the final x-value (xn), and run the code to obtain the solution for y(x).

The resulting plot will show the solution curve.

To solve the given set of differential equations using the Runge-Kutta method in MATLAB, we need to convert the second-order differential equations into a system of first-order differential equations.

Let's define new variables:

y = y(x)

z = dz/dx

Now, we have the following system of first-order differential equations:

dy/dx = z (1)

dz/dx = -k/(2y) (2)

To apply the Runge-Kutta method, we need to discretize the domain of x. Let's assume a step size h for the discretization. We'll start at x = 0 and proceed until x = infinite.

The general formula for the fourth-order Runge-Kutta method is as follows:

k₁ = h f(xn, yn, zn)

k₂ = h f(xn + h/2, yn + k₁/2, zn + l₁/2)

k₃ = h f(xn + h/2, yn + k₂/2, zn + l₂/2)

k₄ = h f(xn + h, yn + k₃, zn + l₃)

yn+1 = yn + (k₁ + 2k₂ + 2k₃ + k₄)/6

zn+1 = zn + (l₁ + 2l₂ + 2l₃ + l₄)/6

where f(x, y, z) represents the right-hand side of equations (1) and (2).

We can now write the MATLAB code to solve the differential equations using the Runge-Kutta method:

function [x, y, z] = rungeKuttaMethod()

   % Parameters

   k = 1;              % Constant k

   h = 0.01;           % Step size

   x0 = 0;             % Initial x

   xn = 10;            % Final x (adjust as needed)

   n = (xn - x0) / h;  % Number of steps

   % Initialize arrays

   x = zeros(1, n+1);

   y = zeros(1, n+1);

   z = zeros(1, n+1);

   % Initial conditions

   x(1) = x0;

   y(1) = 0;

   z(1) = 0;

   % Runge-Kutta method

   for i = 1:n

       k1 = h * f(x(i), y(i), z(i));

       l1 = h * g(x(i), y(i));

       k2 = h * f(x(i) + h/2, y(i) + k1/2, z(i) + l1/2);

       l2 = h * g(x(i) + h/2, y(i) + k1/2);

       k3 = h * f(x(i) + h/2, y(i) + k2/2, z(i) + l2/2);

       l3 = h * g(x(i) + h/2, y(i) + k2/2);

       k4 = h * f(x(i) + h, y(i) + k3, z(i) + l3);

       l4 = h * g(x(i) + h, y(i) + k3);

       y(i+1) = y(i) + (k1 + 2*k2 + 2*k3 + k4) / 6;

       z(i+1) = z(i) + (l1 + 2*l2 + 2*l3 + l4) / 6;

       x(i+1) = x(i) + h;

   end

   % Plotting

   plot(x, y);

   xlabel('x');

   ylabel('y');

   title('Solution y(x)');

end

function dydx = f(x, y, z)

   dydx = z;

end

function dzdx = g(x, y)

   dzdx = -k / (2*y);

end

% Call the function to solve the differential equations

[x, y, z] = rungeKuttaMethod();

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Answer:

8√2

Step-by-step explanation:

Add the first number for each one so: 4√2 + 7√2 - 3√2= 8√2