What mod7 number is equivalent to 21 (mod7)

Step-by-step explanation:

Probability of A  is  10 + 5  =15

Probability of B is   9 + 5   ( but you already counted the '5')  

 so just count   9

9+ 15 = 24

  this is  24 out of     16 + 10 + 5 + 9 = 40

      or    24/40   which reduces to 3/5   or  .6   or  60%

Using the equation given:

P(A) + P(B) - P(A and B)

  15  + 14    - 5    = 24       this is out of the entire number 40

               24/40 = same as above

The there is 3 yellow, 2 greens marble in the bag because there is less probability of 0 yellow, number of yellow should be higher than number of greens option (C) is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

We have a graph shows the theoretical probability distribution.

As you select a marble from a bag of yellow and green marbles and put it back. You record how many yellow marbles are selected in two attempts.

Since, there is less probability of 0 yellow, number of yellow should be higher than number of greens.

Thus, the there is 3 yellow, 2 greens marble in the bag because there is less probability of 0 yellow, number of yellow should be higher than number of greens option (C) is correct.

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Answer:

Graph the equation of the line for the equation , y = 3x-12.

Step-by-step explanation:

hope this helps

The maximum number of major ideas that can be included in a specific purpose statement depends on several factors, but it is generally recommended that the statement include one to three major ideas. This helps the speaker to focus their ideas and organize their content in a way that effectively communicates their message to the audience

A specific purpose statement is a statement that defines the main objective or goal of a speech or presentation. It serves as a guide for the speaker, helping them to focus their ideas and organize their content in a way that effectively communicates their message to the audience.

The number of major ideas that can be included in a specific purpose statement depends on several factors, including the length of the speech or presentation, the complexity of the topic, and the speaker's ability to effectively communicate their message.

In general, it is recommended that a specific purpose statement include only one to three major ideas. This allows the speaker to focus their attention on a limited number of key points and ensures that the audience is not overwhelmed with too much information. Additionally, having a limited number of major ideas makes it easier for the speaker to organize their content and for the audience to understand and retain the information.

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A specific purpose statement should include one or two major ideas that are focused and directly relevant to the topic at hand.

Including too many ideas can make the statement confusing and difficult for the audience to understand, so it's important to be selective about which ideas to include.

The goal is to create a specific purpose statement that is clear, concise, and easy for the audience to understand, while effectively conveying the key ideas of the communication.

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In case of one-way anova where x are treatments and y are observations, the degrees of freedom for the f statistic are three and 20.

A one way analysis of variance refers to the technique that is used in knowing if there's significant difference between two samples means. ANOVA uses F-tests to statistically test the equality of means.

Now, if x and y are represented the number of treatments and observations then degree of freedom for f statistic is either 3 or 20. Because two separate samples are used to compute a F-score and the samples with different size, so, there are two separate degrees of freedom one for each sample, either it is three or twenty. Hence, required value either 3 or 20.

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Answer:

The answer for 12x(4+16)-78×3= is 6

Answer:

Step-by-step explanation:

For the volume, it would be length times width times height, and it is a cube, so they are all the same, meaning it would be 6*6*6. That is equal to 216 cm3, which is the answer for the first one. The total area, meaning surface area, would be found by finding the area of one side, which is 6*6, which is 36, and then multiplying by the number of sides, because it is a square, cube. The surface area is also 216 cm2.

1) 216 cm3 (cm^3)

2) 216 cm2 (cm^2)

To create the desired subplot configuration and plot the given functions, you can use the subplot command along with the plot and title commands in MATLAB. Here's the code:

% Define the x values

x = 0:0.1:2*pi;

% Calculate the y values for each function

y1 = sin(2*x);

y2 = cos(2*x);

y3 = sin(x) + cos(x);

% Create the figure window with subplots

figure;

% Left subwindow

subplot(1,3,1);

plot(x, y1);

title('y1 = sin(2x)');

% Middle subwindow

subplot(1,3,2);

plot(x, y2);

title('y2 = cos(2x)');

% Right subwindow

subplot(1,3,3);

plot(x, y3);

title('y3 = sin(x) + cos(x)');

This code will split the graph window into three subwindows and plot the functions y1 = sin(2x), y2 = cos(2x), and y3 = sin(x) + cos(x) in their respective subwindows. Each subwindow will have a title indicating the corresponding function. The x-axis will range from 0 to 2π with a step size of 0.1.

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Answer:

6.5a-26

Step-by-step explanation:

You have to use the distributive property and multiply each term inside the parentheses by 6.5. By doing this you turn 6.5(a-4) into (6.5)(a)-(6.5)(4). You can then simplify this into 6.5a - 26

Answer:

6.5a-26

Step-by-step explanation:

We are given the expression:

6.5(a-4)

If we want to simplify this expression, then we must use the distributive property.

To distribute, multiply each term inside the parentheses by the number outside the parentheses.

(6.5*a) + (6.5*-4)

Multiply

6.5a+ (6.5*-4)

6.5a+ -26

A +- can be written as just -

6.5a-26

The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

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Answer:

scale factor = 2

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

scale factor = \(\frac{BC}{DE}\) = \(\frac{10}{5}\) = 2

Answer: $800 because if you have a light that is $2,000 and it loses %10 of its price per month, and June is 4 months away, then it is only $800.

4 x .1 = .4 so $2,000 x .4 = $800

The values of exponent 5, √15, 2 and ∛2.

There are various exponential laws. Numerous mathematical problems involving repeated multiplication operations can be solved using all of the exponent rules. The operations of multiplication and division are made simpler and easier to solve by the laws of exponents.

Given,

The important laws of exponents are given below:

xᵃ ₓ xᵇ = x ᵃ⁺ ᵇ

xᵃ/xᵇ = x ᵃ⁻ ᵇ

(xᵃ)ᵇ = x ᵃᵇ

a⁻ⁿ = 1/aⁿ

a⁽¹/ⁿ⁾ = \(\sqrt[n]{a}\)

1: \(25^{\frac{1}{2} }\)

25 = 5 x 5 = 5²

\(( 5^{2}) ^{\frac{1}{2} }\) = 5 using formula (xᵃ)ᵇ = x ᵃᵇ

2: \(15^{\frac{1}{2} }\)

= \(\sqrt{15}\) using a⁽¹/ⁿ⁾ = \(\sqrt[n]{a}\)

3: \(8^{\frac{1}{3} }\)

8 = 2 x 2 x2 = 2³

\(( 2^{3}) ^{\frac{1}{3} }\) =  2 using formula (xᵃ)ᵇ = x ᵃᵇ

4: \(2^{\frac{1}{3} }\)

= ∛2 using a⁽¹/ⁿ⁾ = \(\sqrt[n]{a}\).

Hence values are 5, √15, 2 and ∛2.

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Answer: The correct answer is "Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim."

Step-by-step explanation:

I took the test

Rent, insurance, commissions, and other expenses could be added to the operating costs of a service-based business. Most of these expenses are regular daily expenses.

A continuing cost for maintaining a system, a business, or a product is known as an operating expense, operating expenditure, operational expenditure, operational expenditure, or OPEX.

The expense of creating or providing non-consumable pieces for the system or product is known as capital expenditure (capex).

For instance, the annual costs of paper, toner, power, and maintenance for a photocopier are opex, while the cost of the photocopier itself is capex.

Additional running costs for a service-based business could include rent, insurance, commissions, and other costs.

The majority of these costs are routine daily spending.

Costs that weren't directement necessary for those activities are referred to be non-operating expenses.

Therefore, rent, insurance, commissions, and other expenses could be added to the operating costs of a service-based business. Most of these expenses are regular daily expenses.

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Correct question:

A service business may have some additional operating expenses like rent, insurance, commissions, and so on. Most of these expenses are incurred on a ___ basis.

Failure to include some units, or entire portions, of the defined survey population in the actual operational sample frame represents: a noncoverage error.

One of the components of coverage error that results from a flawed sample frame that excludes a certain percentage of the population is noncoverage.

Sampling errors need to be controlled and reduced to a level at which their presence does not defeat or obliterate the usefulness of the final sample results.

The difference between the observed values of a variable and the long-run average of the observed values in repetitions of the measurement is the sampling error.

Noncoverage, another word for these frames, inadequate coverage is also known as undercoverage.

Sampling errors can be decreased by increasing the sample size.

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Answer:10

Step-by-step explanation:

4[5+2(6-6)]-5[4(4-3)-4+2]=20-5[4-2]=10

Answer:

10

Step-by-step explanation:

4[5+2(6-2*3)]-5[4(16÷4-12÷4)-4+2]

4[5+2(6-6)]-5[4(4-12÷4)-4+2]

4[5+2(6-6)]-5[4(4-3)-4+2]

4[5+2(0)]-5[4(1)-4+2]

4[5+0]-5[4-4+2]

4[5]-5[0+2]

4[5]-5[2]

20-5[2]

20-10

10

Answer:

90*

Step-by-step explanation:

Answer:

40°

Step-by-step explanation:

∠AOE and ∠COD are vertical angles meaning they have the same value.

Answer:8.4

explanation:

it just is the answer

Answer: 8.4

Step-by-step explanation:

Hope it helps!

Let's denote the number of respondents who answered "yes" as y, the number of respondents who answered "no" as n, and the number of respondents who answered "not sure" as ns.

Given that the number of respondents who answered "no" or "not sure" is 325, we can write the equation n + ns = 325.

Also, the survey revealed that the number of respondents who answered "yes" exceeded the number of those who answered "no" by 402, which can be expressed as y - n = 402.

(2nd PART) We have a system of two equations:

n + ns = 325   ...(1)

y - n = 402    ...(2)

To find the number of respondents who answered "not sure" (ns), we need to solve this system of equations.

From equation (2), we can rewrite it as n = y - 402 and substitute it into equation (1):

(y - 402) + ns = 325

Rearranging the equation, we have:

ns = 325 - y + 402

ns = 727 - y

So the number of respondents who answered "not sure" is 727 - y.

To find the value of y, we need additional information or another equation to solve the system. Without further information, we cannot determine the exact number of respondents who answered "not sure."

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It is true that the indexed variables (members) of an array must be integers.

The indexed variables or members of an array must be integers. This is because arrays are data structures that store elements in a contiguous block of memory, and each element is accessed using an index. Indexing allows us to uniquely identify and retrieve specific elements within the array. In most programming languages, including C, C++, Java, and Python, array indices are integers and must be whole numbers (positive or negative) without any fractions or decimals. Attempting to use non-integer values as indices would result in a compilation error or unexpected behavior.

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The parametric equations of the line are x = -1 - 6ty = 6tz = -6t.

a. To find the Cartesian equation of the plane with intercepts at P(-1,0,0), (0,1,0), and R(0,0,-3), we will first determine the direction vectors of the two lines joining P and Q and P and R.

The normal vector N of the plane is given by their cross product. Consider the points P(-1,0,0), Q(0,1,0), and R(0,0,-3). Let PQ be the line joining P and Q.

The direction vector of PQ is given by PQ = Q - P = (0,1,0) - (-1,0,0) = (1,1,0). Let PR be the line joining P and R. The direction vector of PR is given by PR = R - P = (0,0,-3) - (-1,0,0) = (1,0,-3).

Taking the cross product of these direction vectors gives the normal vector of the plane: N = PQ x PR= (1,1,0) x (1,0,-3)= (3,3,1).The Cartesian equation of the plane is therefore3x + 3y + z = D, where D is found by substituting the coordinates of one of the given points: P: 3(-1) + 3(0) + 0 = D.D = -3.

The Cartesian equation of the plane is therefore3x + 3y + z = -3.b. We know that the line intersects the plane at some point, say Q(x, y, z).

Then the vector equation of the line can be written as R = A + t D, where R is a point on the line, A is a known point on the line, D is the direction vector of the line, and t is a scalar parameter to be determined.

The direction vector D is a vector parallel to the line and is given by the cross product of the normal vector N of the plane and the line's direction vector L, that is, D = N x L. Consider the plane with equation 3x + 3y + z = -3 found in part a.

To find the vector equation of the line passing through Q and perpendicular to this plane, we can take L to be the normal vector of the plane. L is therefore L = (3, 3, 1).

Let Q (x, y, z) be the point on the line which intersects the plane. Substituting this into the equation of the plane gives

3x + 3y + z = -3  (1) Also, since Q lies on the line, its position vector R can be written as R = A + t D, where A is the position vector of some point on the line, and D is a direction vector of the line.

We take A = P = (-1, 0, 0), which is one of the given points. Hence, A = (-1, 0, 0). The direction vector of the line D is D = N x L, where N is the normal vector of the plane found in part a.

Hence D = (3,3,1) x (3,3,1)= (-6,6,-6). The vector equation of the line is R = A + t D= (-1, 0, 0) + t(-6, 6, -6)= (-1-6t, 6t, -6t). The parametric equations of the line are x = -1 - 6ty = 6tz = -6t.

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Correct option is B. There are two possibilities. The dimensions whose width is larger are approximately 19.38 inches, and the dimensions whose width is smaller are approximately 9.69 inches.

To find the possible dimensions for the closed box, we can set up a system of equations based on the given information.

Let's denote the length of the box as L, the width as W, and the height as H.

From the given conditions:

The volume of the box is 1014 cubic inches:

V = LWH = 1014

The surface area of the box is 910 square inches:

SA = 2(LW + LH + WH) = 910

The length is twice the width:

L = 2W

Using these equations, we can solve for the dimensions.

Substituting L = 2W into equations (1) and (2), we have:

(2W)(W)(H) = 1014

2(W^2)H = 1014

2(LW) + 2(LH) + 2(WH) = 910

4(W^2) + 4(WH) + 2(WH) = 910

4(W^2) + 6(WH) = 910

Simplifying equation (4):

(W^2) + 3(WH) = 455

We have two equations now:

2(W^2)H = 1014 (equation 3)

(W^2) + 3(WH) = 455 (equation 4)

By solving this system of equations, we can find the possible dimensions for the box.

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The correct answer is (a) \(y^2 - x^2 = x + 7y\) for the polar equation.

Polar coordinates are a two-dimensional coordinate system that uses an angle and a radius to designate a point in the plane. A polar equation is a mathematical equation that expresses a curve in terms of these coordinates. Circles, ellipses, and spirals are examples of forms with radial symmetry that are frequently described using polar equations. They are frequently employed to simulate physical events that have rotational or circular symmetry in engineering, physics, and other disciplines. Computer programmes and graphing calculators both use polar equations to represent two-dimensional curves.

To convert the polar equation\(r = sinθ\) into a cartesian equation, we use the following identities:

\(x = r cosθy = r sinθ\)

Substituting these into the given polar equation, we get:

\(x = sinθ cosθy = sinθ sinθ = sin^2θ\)
Now we eliminate θ by using the identity:

\(sin^2θ + cos^2θ = 1\)

Rearranging and substituting, we get:

\(x^2 + y^2 = x(sinθ cosθ) + y(sin^2θ)\\x^2 + y^2 = x(2sinθ cosθ) + y(sin^2θ + cos^2θ)\\x^2 + y^2 = 2xy + y\)

Therefore, the correct answer is (a)\(y^2 - x^2 = x + 7y\).

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The interpretation of 0 = -12 is (a) There are no solutions to the system because the equations represent parallel lines.

The result is given as:

0 = -12

By comparison 0 and -12 do not have the same value

i.e. 0 ≠ - 12

This means that the system of equation has no solution

Hence, the interpretation of 0 = -12 is (a)

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Answer:

D. none

Step-by-step explanation:

we only know about the right angle at the bottom right.

that is not enough information.

we always need 3 pieces of confirmed information of each triangle to be able to say that the 2 triangles are indeed of the same shape and size.

like the other answer options would indicate :

SAS : side - angle - side.

2 sides and the enclosed angle. if we know they are equal, then the rest of the triangles follow automatically.

SSS : all 3 sides. with 3 defined sides there is only one possible shake and size for that triangle.

HL : Hypotenuse and a leg of a right-angled triangle (also 3 pieces of information - 2 sides and the right angle).

since we have only the right angle and nothing else, we cannot prove that the triangles are congruent.

Answer:

(x+1)(x-3)

Step-by-step explanation:

We simply convert the solutions into roots. We take the negative of the solutions and we put it into (x - root) form.

Answer:

(x+1) (x-3)

Step-by-step explanation:

(x+1)=0

x=-1

(x-3)=0

x=3

solutions are (-1, 3) we put -1 first because x always comes before Y value.

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