At center street middle school, 240 scholars voted for their middle school play. the ratio of scholars who voted for annie to scholars who voted for wicked was 5 : 2, and the ratio of scholars who voted for wicked to scholars who voted for the wizard of oz was 2 : 3. how many scholars voted for wicked?

50 - 2x; x = 3

____________________

50 - 2(3)

= 50 - 6

= 44

The probability P(X < 0.25, Y > 20.4) is approximately 0.000.

To find P(X < 0.25, Y > 20.4), we need to evaluate the joint cumulative distribution function (CDF) at the given values.

The joint CDF, denoted as F(x, y), is defined as follows:

F(x, y) = { \(4e^{-5y}x e^{-5}\), if x > 0 and y > 0

{ 0, otherwise

We need to evaluate F(0.25, 20.4).

Since x = 0.25 and y = 20.4 satisfy the conditions x > 0 and y > 0, we can calculate the probability as:

P(X < 0.25, Y > 20.4) = F(0.25, 20.4)

Substituting the values into the joint CDF:

P(X < 0.25, Y > 20.4) = \(4e^{-5 * 20.4}\) * 0.25 * e⁻⁵

Calculating the exponential terms:

P(X < 0.25, Y > 20.4) = 4e⁻¹⁰² * 0.25 * e⁻⁵

Simplifying:

P(X < 0.25, Y > 20.4) = 1e⁻¹⁰² * 0.25

Rounding off to the third decimal place:

P(X < 0.25, Y > 20.4) ≈ 0.000

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General form.

Our term

On comparing

Graph attached

A mass attached to a spring undergoes simple harmonic motion when stretched from its equilibrium position. The motion of a mass-spring system is determined by the mass of the system (m), the force constant of the spring (k), and the initial conditions of the mass (position and velocity).

The frequency of the motion of the system is related to the mass (m) and the force constant (k) of the system by the formula ω0=√(k/m)

The general equation of motion for a mass-spring system in SHM is given by:

x(t)=Acos(ω0t)+Bsin(ω0t)

where, A and B are constants that depend on the initial conditions of the mass (position and velocity).

Using trigonometric identities, the equation of motion can also be expressed in the form:

x(t)=Acos(ω0t)+Bsin(ω0t)=Rcos(ω0t−φ)where R=√(A2+B2) and φ=tan⁡(B/A)

The position u of the mass at any time t is given by the equation of motion for a mass-spring system in SHM, which is:

x(t)=Acos(ω0t)+Bsin(ω0t)

Substituting the given values, we have:

x(t)=0.2cos(ω0t)+0.2(9/ω0)sin(ω0t)

Comparing this equation with the general equation of motion for a mass-spring system in SHM, we can see that A=0.2 and B=0.2(9/ω0). The amplitude of the motion is given by the formula A=R=√(A2+B2), so we have:

A=√(0.22+(0.2(9/ω0))2)

The frequency of the motion is given by the formula ω0=√(k/m), so we have:

ω0=√(mg/l)

Substituting the given values, we have:

ω0=√(1*9.81/0.2)=4.43 rad/s

The amplitude of the motion is given by the formula A=R=√(A2+B2), so we have:

A=√(0.22+(0.2(9/ω0))2)=0.452 m

Thus, the correct options are:

(c) u=0.452cos22.14t(b) ω0=4.43 (h) Amplitude = 0.452.

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The amount of storage required to represent a simple graph with n vertices and m edges can vary depending on the chosen representation. Here's the storage requirement for each representation:

a) Adjacency lists:

In an adjacency list representation, we typically use an array of size n to store the vertices, and for each vertex, we maintain a linked list or an array to store its adjacent vertices. The space complexity of this representation is O(n + m), where n is the number of vertices and m is the number of edges.

Each vertex requires constant space, and each edge is represented by a link or entry in the adjacency list.

b) Adjacency matrix:

In an adjacency matrix representation, we use a 2D matrix of size n x n to represent the graph. Each entry (i, j) in the matrix represents whether there is an edge between vertices i and j. The space complexity of this representation is O(n^2), as we need to store n^2 entries for the complete matrix. However, if the graph is sparse (few edges compared to vertices), the space complexity can be reduced to O(n + m) by only storing the entries corresponding to the existing edges.

c) Incidence matrix:

In an incidence matrix representation, we use a 2D matrix of size n x m, where n is the number of vertices and m is the number of edges. Each entry (i, j) in the matrix represents whether vertex i is incident to edge j. The space complexity of this representation is O(n * m), as we need to store n * m entries for the matrix.

Similar to the adjacency matrix, if the graph is sparse, the space complexity can be reduced to O(n + m) by storing only the entries corresponding to the existing edges.

In summary:

a) Adjacency lists: O(n + m)

b) Adjacency matrix: O(n^2) or O(n + m) for sparse graphs

c) Incidence matrix: O(n * m) or O(n + m) for sparse graphs

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i dont know

what  the hell

(a) The real discrete Fourier transform (DFT) is calculated for the given data set to analyze the helicopter's acoustic signature.

(b) To obtain the ck values and illustrate the relative size of each term in the Fourier series, we calculate the magnitude of each coefficient and plot their amplitudes on a bar graph against the corresponding frequency component, k.

To analyze the helicopter's acoustic signature, the real DFT is computed for the provided data set. The DFT transforms the time-domain measurements of acoustic pressure into the frequency domain, revealing the different frequencies present and their corresponding amplitudes. This analysis helps in understanding the spectral characteristics of the helicopter's acoustic signature and identifying prominent frequency components.

Using the Fourier series representation, the amplitudes (ck's) of the different frequency components in the Fourier series are determined. These amplitudes represent the relative sizes of each term in the series, indicating the contribution of each frequency component to the overall acoustic signature. By plotting the amplitudes on a bar graph, the relative strengths of different frequency components become visually apparent, enabling a clear comparison of their importance in characterizing the helicopter's acoustic signature.

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Answer:

x=+17

Step-by-step explanation:

6x+7=8x-27

We move all terms to the left:

6x+7-(8x-27)=0

We get rid of parentheses

6x-8x+27+7=0

We add all the numbers together, and all the variables

-2x+34=0

We move all terms containing x to the left, all other terms to the right

-2x=-34

x=-34/-2

x=+17

The y-coordinate that completes the point exists 5.

An ordered pair (x, y) denotes the x-and-y coordinates of a general point, where x exists the input value of a function and y exists the output value of a function.

The output value exists y = f(x) and must be found using the rule (function) to the given input value.

In this case the rule exists f(x) = - 3x + 2, and the input value, x, exists - 1 (the first value of the ordered pair).

This exists the mathematical procedure:

x = - 1

f(x) = f (-1)

Then substitute the value x = -1 then

f(-1) = -3 (-1) + 2 = 3 + 2 = 5.

Therefore, the correct answer is option b) 5.

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Answer: 12/5

Step-by-step explanation:

\(3 \frac{3}{5}=\frac{18}{5}\\\\\implies \frac{2}{3} \times 3 \frac{3}{5}=\frac{2}{3} \times \frac{18}{5}\\\\=\frac{36}{15}\\\\=\boxed{\frac{12}{5}}\)

The summary of a test procedure that lists the sources of variation, sum of squares, degrees of freedom, mean square, and test statistic is called an ANOVA (Analysis of Variance) table. It is used to analyze the differences between two or more groups or treatments and to determine whether the differences are statistically significant.

The ANOVA table typically includes the following components:

1. Source of variation: This column lists the different sources of variation that contribute to the overall variation in the data. For example, in a one-way ANOVA, this might include the between-group variation and the within-group variation.

2. Sum of squares (SS): This column lists the sum of squared deviations from the mean for each source of variation.

3. Degrees of freedom (df): This column lists the degrees of freedom associated with each source of variation. Degrees of freedom are used to calculate the mean square (MS) and test statistic.

4. Mean square (MS): This column lists the sum of squares divided by the degrees of freedom for each source of variation.

5. Test statistic (F): This column lists the test statistic for each source of variation, which is the ratio of the mean square for that source of variation to the mean square for the residual variation.

The ANOVA table is used to calculate the F-statistic and determine whether the differences between the groups or treatments are statistically significant. If the F-statistic is greater than the critical value at a given level of significance, we can reject the null hypothesis and conclude that there is a significant difference between the groups or treatments.

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Answer:

Is it a line? Please give more info

Step-by-step explanation:

Answer:

21.6km

Step-by-step explanation:

We can use the Pythagorean theorem [ a² + b² = c² ]

8² + b² = 23²

64 + b² = 529

b² = 465

b ≈ 21.6

Best of Luck!

Answer:

8.5

Step-by-step explanation:

d = √[(-7+1)²+(-1-5)²]

= √[(-6)²+(-6)²]

=√(36+36)

=√72

= 8.5

Answer:

8.5

Step-by-step explanation:

we can plug those coordinates into the distance formula

d =  √(x2 - x1)2 + (y2 - y1)2

d= √((-7)-(-1)^2+((-1)-(5)^2

d = √36+36

d=√72 = 8.48 or 8.5

The smallest possible value is 44%.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. 

Given that,

If only three persons are running for the office and the third-place candidate received 28 votes and the second-place candidate received 98 votes, the winner could have received only 99 votes.

In this case, the total number of votes cast would be 28 + 98 + 99  =  225 votes.

The percentage for the winning candidate would be:  99 / 225  =  44%

Therefore, the smallest possible value of x is 44%.

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Answer:

25 and 30

Step-by-step explanation:

To solve this problem, we can do a system of equations. Let x and y be your unknown numbers;

\(x+5=y\\x+y=55\)

We can substitute the first equation for y in the second equation.

\(x+(x+5)=55\\2x+5=55\\2x=50\\x=25\)

Now that we know the value of x, we can plug x into the first equation to solve for y.

\(25+5=y\\y=30\)

Thus, the two numbers are 25 and 30.

Using the cross-multiplication formula we conclude that 768 cents will be given for 96 can recycled.

Cross multiplying is the process of multiplying the denominator of the second fraction on the other side of the equals to sign by the numerator of the first fraction on the same side.

In a similar manner, the numerator of the second fraction is multiplied by the denominator of the first fraction. Cross-multiplication is another name for the butterfly method. We employ the cross-multiply approach to identify one or more variables in a fraction. Cross multiplying is another method for comparing fractions.

We will do simple cross-multiplication here

given that for 12 cans we get 96 cents, that is

⇒ 12/96

and for 96 cans we get x cents, that is

⇒ x/96

Now, we do cross-multiplication here

⇒ 12/96 = 96/x

⇒ 12x = 96 × 96

⇒ x = (96 × 96)/12

⇒ x = 768 cents

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Correct question

A recycling center claims to give 96 cents for every 12 aluminum cans turned in. How much cents will they give if u recycled 96 cans?

Answer:

At least two congruent sides

At least two congruent angles

At least one segment that is an angle bisector, while also being a median, while also being a perpendicular bisector, while also being an axis of symmetry.

Step-by-step explanation:

Answer:

In Equilateral triangles, the sides and angles are equal in length.

In Isosceles triangles, however, 2 sides are equal and 2 angles are equal in length.

The area of the square is 25ft² and the perimeter is 20ft.

It's important to note that the area of a square is calculated as:

= Side ²

The perimeter is calculated as:

= 4 × Side

From the information given, the side is 5ft. The area will be:.

= 5 × 5

= 25ft²

The perimeter will be:

= 4 × Sode

= 4 × 5ft.

= 20 feet

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this is the answer I hope it helps you

The quadrilateral is a parallelogram so it is Yes.

If a quadrilateral has a pair of parallel opposite sides, it’s a special polygon called parallelogram .The properties of a parallelogram are as follows:

The opposite sides are parallel and equal

The opposite angles are equal

The consecutive or adjacent angles are supplementary

If any one of the angles is a right angle, then all the other angles will be at right angle.

The quadrilateral is a parallelogram since the adjacent interior angles 75° and 105° are supplementary meaning they sum up to 180°

In conclusion, yes, the figure is a parallelogram.

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Answer:

Collin: 26, Sarah: 65, Gordon: 39, so 130 altogether

Step-by-step explanation:

The process is capable of producing outputs within the specification limits is true.

There are a number of potential reasons for why the process is not meeting the target value. One possibility is that the target value is too ambitious and is not realistic given the current process capability. Another possibility is that there is some inherent variability in the process that is not being accounted for. It is also possible that there are some external factors that are affecting the process, such as changes in the raw materials or the environment.

The design engineers have established an upper specification limit of 22 and a lower specification limit of 18. This means that they are confident that the process is capable of producing outputs within these limits. However, the fact that the process is consistently averaging 19.8 with a standard deviation of 0.5 suggests that there is some room for improvement.

One potential way to improve the process is to focus on reducing the inherent variability. This can be done by identifying and addressing the sources of variability in the process. Another potential way to improve the process is to reduce the target value. This may be necessary if the current target value is not realistic given the process capability.

It is also important to monitor the process over time to ensure that it is remaining within the specification limits. This will help to identify any potential issues that may arise and allow for corrective action to be taken if necessary.

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A.The process is in statistical control.

B.The process is capable of producing outputs within the specification limits.

C.The process is capable of producing outputs within the tolerance limits.

D.The process is capable of producing outputs within the control limits.

E.The process is capable of producing outputs that are normally distributed. The process is capable of producing outputs within the specification limits

which statement concerning this process is true?

Answer: 7.59

Step-by-step explanation: I added all of the miles he traveled up together. ( don't overthink questions like this)

The centroid of the region bounded by the curves y = 12x and y = √x is (72,1.88).

To find the centroid of the region bounded by the given curves y = 12x and y = √x, the following steps should be followed.

Step 1: Sketch the region bounded by the two curves to have an idea of what the region looks like.

Step 2: Determine the area of the region bounded by the two curves. The area A can be computed by evaluating the definite integral of the difference between the two functions. \(\[\int\limits_{0}^{144} (\sqrt{x}-12x)dx\]\)  We solve for this integral below.\(\[\int\limits_{0}^{144} (\sqrt{x}-12x)dx = 64 - 1728 + \frac{2}{3}\sqrt{6}\] \[\int\limits_{0}^{144} (\sqrt{x}-12x)dx = -1663.30\]\)

Step 3: To find the centroid of the region, we need to determine the x and y coordinates of the centroid. The x-coordinate of the centroid is given by the formula below.

\(\[x = \frac{1}{A}\int\limits_{a}^{b} \frac{1}{2}(y_1^2-y_2^2)dx\]\)

where A is the area of the region, and y1 and y2 are the upper and lower functions, respectively. Substituting values, we obtain

\(\[x = \frac{1}{-1663.30}\int\limits_{0}^{144} \frac{1}{2}((\sqrt{x})^2-(12x)^2)dx\]  \[x = 72\]\)

 The y-coordinate of the centroid is given by the formula below.

\(\[y = \frac{1}{2A}\int\limits_{a}^{b}(y_1+y_2)\sqrt{(y_1-y_2)^2+4dx}\]\)

 Substituting values, we obtain \(\[y = \frac{1}{2(-1663.30)}\int\limits_{0}^{144}(12x+\sqrt{x})\sqrt{(\sqrt{x}-12x)^2+4dx}\]  \[y = 1.88\]\)

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Answer:6.666

Step-by-step explanation:

Step-by-step explanation:

\(5 \times \frac{11}{3} \)

\( = \frac{55}{3} \)

\( = 18 \frac{1}{3} (ans)\)

30%

The original price = p

The amount paid = 0.7p

Discount given = Original price - Amount paid

Discount given = p - 0.7p

Discount given = 0.3p = (30/100) x p

Discount given = 30% of p

The original price was discounted by 30%

For the line y = -2-4x, the slope of a line parallel to this line is -4 and the slope of a line perpendicular to this line is 1/4.

What is slope?

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

The equation for the line is - y = -2 - 4x.

The slope of a line is represented by the coefficient of the x term. In this case, the slope of the line y = -2 - 4x is -4.

The slope of a line perpendicular to a given line is the negative reciprocal of the slope of the given line. The negative reciprocal of -4 is 1/4.

So, the slope of a line perpendicular to y = -2 - 4x is 1/4.

The slope of a line parallel to a given line is the same as the slope of the given line.

So the slope of a line parallel to y = -2 - 4x is -4.

Therefore, the parallel and perpendicular slope is -4 and 1/4 respectively.

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The result provides convincing evidence that the tsa officers did not carrry out a truly random sample.

A simple random sample is a subset of a statistical population in which each member has an equal chance of being selected.

In statistics, a simple random sample is a subset of individuals picked at random from a larger set, with all individuals having the same probability. It is the process of selecting a sample at random.

In this case, it's important to note that the fact that all the people chosen were first class members means that it was bias and not a random sampling.

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