adult tickets to a play cost $22. Tickets for children cost $15. Tickets for a group of 11 people cost a total of $228. Write and solve a system of equations to find how many adults and children were in the group.

Answer:

C

Step-by-step explanation:

Answer:

\(b = 90w\)

Step-by-step explanation:

Required

Determine the relationship

Represent the workers with w and bricks with b

First, we need to determine the constant of proportionality using:

\(b = kw\)

Solve for k

\(k = \frac{b}{w}\)

When w = 1; b = 90:

\(k = \frac{90}{1}\)

\(k = 90\)

When w = 2; k =180

\(k = \frac{180}{2}\)

\(k = 90\)

Notice that \(k = 90\) in both cases;

Substitute 90 for k in \(b = kw\)

\(b = 90w\)

Hence; the relationship is \(b = 90w\)

The 95.44% confidence interval for the population mean is approximately (19.87 minutes, 24.73 minutes).

To calculate the 95.44% confidence interval for the population mean, we can use the following formula:

Confidence Interval = sample mean ± (critical value) * (standard deviation / sqrt(sample size))

First, let's determine the critical value. Since the confidence level is 95.44%, we need to find the z-score that corresponds to a tail probability of (1 - 0.9544)/2 = 0.0228. Looking up this value in the standard normal distribution table or using a statistical calculator, we find that the z-score is approximately 2.17.

Next, we need to determine the standard deviation of the population. Since we don't have that information, we'll use the sample standard deviation as an estimate. Let's assume the sample standard deviation is 5 minutes.

Now we can calculate the confidence interval:

Confidence Interval = 22.3 ± (2.17) * (5 / sqrt(20))

Calculating the expression inside the parentheses:

= 22.3 ± (2.17) * (5 / sqrt(20))

= 22.3 ± 2.17 * (5 / 4.472)

= 22.3 ± 2.17 * 1.118

Calculating the confidence interval:

Lower Limit = 22.3 - (2.17 * 1.118)

Upper Limit = 22.3 + (2.17 * 1.118)

Lower Limit = 22.3 - 2.42706 ≈ 19.87294

Upper Limit = 22.3 + 2.42706 ≈ 24.72706

Therefore, the 95.44% confidence interval for the population mean is approximately (19.87 minutes, 24.73 minutes).

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The value of x, y, w and z to the nearest tenths place are:

x = 2.1

y = 5.4

w = 5

z = 14.1

Using the concept of Pythagoras theorem, we can find the length of w as:

w² = 13² - 12²

w² = 25

w = √25

w = 5

Using trigonometric ratios, we can say that:

cos ∠1 = 12/13 = 13/(12+x)

Thus:

12(12 + x) = 13 * 13

12(12 + x) = 169

144 + 12x = 169

12x = 25

x = 25/12 = 2.08 = 2.1

Sum of angles in a triangle is 180 degrees and angle 3 + angle 4 equals 90 degrees and as such:

∠1 + ∠2 = 90°

∠2 + ∠4= 90°    

Thus, by substitution property:

∠4 = ∠1

sin ∠4 = x/y = sin ∠1 = 5/13

Thus:

5y = 13x

y = (13/5)x

y = 13/5 * 25/12

y = 65/12

y = 5.4

z = 12 + x

z = 12 + 2.08

z = 14.08

z = 14.1

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Factoring integers with sublinear resources on a superconducting quantum processor can be achieved using quantum approximate optimization algorithm" (QAOA) or quantum phase estimation algorithm (QPE) approach.

Factoring large integers is a problem of significant importance in the field of cryptography.

Classical computers have limited efficiency in solving this problem, and their performance is expected to decline further as the size of the integers to be factored increases.

In contrast, quantum computers are expected to have exponential speedup in factoring large integers, thanks to Shor's algorithm.

Recently, researchers have been exploring the possibility of using superconducting quantum processors to factor integers with sublinear resources.

One approach is to use a so-called "quantum approximate optimization algorithm" (QAOA), which maps the problem of factoring integers to a problem of finding the ground state of a certain Hamiltonian.

The QAOA can be implemented using a superconducting quantum processor, with the problem Hamiltonian implemented by a set of two-qubit gates.

Another approach is to use the quantum phase estimation algorithm (QPE) to estimate the eigenvalues of the problem Hamiltonian.

This can be used to factor integers by finding the period of a certain function using the quantum Fourier transform, as in Shor's algorithm. QPE can be implemented on a superconducting quantum processor using phase estimation circuits, which require only polynomial resources.

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Analyst can measure this through cor()function

What is Function?

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

Concept:

The R language's cor() function is used to calculate the correlation coefficient between two vectors.

Finding the correlation between the two equities is one method of capturing this type of interaction. Using a value between -1 and 1, correlation is a measure of association between two items, in this case, stock prices. A perfect correlation of 1 indicates a positive correlation, a perfect correlation of -1 indicates a negative correlation, and a perfect correlation of 0 indicates independent stock movement. Understanding how to compute correlation in R is helpful because it is a common metric in finance.

When given a matrix, the cor() function creates a correlation matrix or determines the correlation between two vectors.

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The distance between different cities in a certain country is typically considered continuous, as it can vary along a continuous scale and can be measured with great precision.

The distance between cities in a country is generally considered a continuous variable. Continuous variables are those that can take any value within a given range. In the case of city distances, they can vary along a continuous scale and are not limited to specific, discrete values.

Furthermore, advancements in technology and transportation have allowed for more accurate and precise measurements of distances. Tools such as GPS and advanced mapping systems enable us to measure distances with increasing precision, often to several decimal places. This level of precision further supports the notion that city distances are continuous.

It's important to note that while the distance between cities is typically considered continuous, there may be instances where discrete measurements are used for practical purposes. For example, distances between cities may be rounded to the nearest whole number or mile for convenience in navigation or when providing general information. However, from a mathematical perspective and when considering the actual physical distances, the concept of continuity applies.

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The distribution of the probability of the given data is a Positive Skewed Probability distribution.

Given to us

A spinner is divided into five sections numbered 1 through 5. Juana records the number the spinner lands on for each of the 50 spins. She computes and graphs the relative frequencies for each number

It is a type of distribution in which the distribution has a constant probability, therefore, the probability of each event occurring is equal.

Symmetric distribution is the type of distribution where the left side of the distribution and the right side of the distribution are mirror images to each other, therefore, they are symmetrical.

Negatively Skewed Probability distribution is a type of distribution of the probability where the right side(tail) of the distribution is more concentrated than the right side.

Positive Skewed Probability distribution is a type of distribution of the probability where the left side of the distribution is more concentrated than the right side.

Since in the given graph probability of every number occurring from 2 to 5 is equal to 0.12(12%), while the probability of number 1 occurring is 0.5(50%).

Thus, the distribution of the probability is towards the right end of the graph.

Hence, the distribution of the probability of the given data is a Positive Skewed Probability distribution.

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Answer:b

b b b bb b b b b b b b b b b b b b b b b b b b b  b b b  b  b b b b

Step-by-step explanation:

Answer:

let W =with of field (M)

L=length of field=(7/5)×W

P=perimeter of field =2×(L+W) =240m

substiting L as fungtion of w in last equation:

2×(7/5)×W+W=240m

(12/5×w=120m

W=(5×+20m)/12=50m

L=(7/5×50m)=70m

The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

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In order to find the complex number A and the function G(w) for the expression A8(w - 8) + AG(w), we can use the given relation ♬(eikx) = √2πd(w - k). By comparing the expression with this relation, we can determine A and G(w). Additionally, to find the function f(x) for the given expression, we can utilize the Fourier sine transform and consider functions of the form f(x) = exp(-ax). Finally, by applying the derived function f(x) and evaluating the integral for x = -0.25, we can obtain the desired result.

To determine the complex number A and the function G(w) for the expression A8(w - 8) + AG(w), we can compare it with the given relation ♬(eikx) = √2πd(w - k). In this case, we have A8(w - 8) + AG(w), which resembles the form A♬(eikx). By equating the corresponding terms, we can see that A = √2π and G(w) = δ(w - 8), where δ represents the delta function.

Moving on to the second part, we need to find the function f(x) for the given expression 2 •[infinity]wsin(wx) f(x) = -dw for x > 0. We can achieve this by considering the Fourier sine transform of f(x) and using functions of the form f(x) = exp(-ax). Applying the Fourier sine transform, we have ∫[0,∞] wsin(wx) exp(-ax) dw = 1 / (a² + w²). By substituting w = 4, we can determine f(x) = 1 / (a² + 16).

To evaluate the integral [infinity] wsin(wx) 4+w² -dw for x = -0.25, we can substitute the given value into the function f(x) obtained in the previous step. Thus, we have [infinity] wsin(wx) 4+w² -dw = [infinity] wsin(-0.25) 4+w² -dw. Evaluating this integral will yield the desired result, which should be provided correct to two decimal places.

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Answer:

I have no idea butter needed points im sorryyy

Answer:

Quotient Rule

Step-by-step explanation:

Your dividing so its quotient. Product is multiplication.

In ΔTUV, UV = 14, VT = 19, and TU = 9, The statement about the angles of ΔTUV that must be true is  \(m \angle U > m \angle T > \angle V\) Option 5

This is further explained below.

Generally, A triangle's angle is a measurement of the length of the side that is perpendicular to it.

This indicates that if one of the sides is longer in length, then the measure of the angle opposite to it will also be longer.

The angles in the triangle TUV are denoted by the symbols T, U, and V.

The side that is UV, TV, and T U correspondingly is the side that is opposite to these angles.

The length of the opposing sides will immediately determine the measure of the angles, which will be directly proportionate to those angles.

since V T>U V>T U, the arrangement of angles will correspond to this as follows: \(m \angle U > m \angle T > \angle V\) Option 5

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CQ

In $\triangle T U V$, UV $=14, V T=19$, and $T U=9$. Which statement about the angles of $\triangle T U V$ must be true?

$\mathrm{m} \angle V>\mathrm{m} \angle T>\mathrm{m} \angle U$

$\mathrm{m} \angle T>\mathrm{m} \angle U>\mathrm{m} \angle V$

$\mathrm{m} \angle U>\mathrm{m} \angle V>\mathrm{m} \angle T$

$m \angle V>m \angle U>m \angle T$

$m \angle U>m \angle T>m \angle V$

$\mathrm{m} \angle T>\mathrm{m} \angle V>\mathrm{m} \angle U$

The value of h ( 12 ) is 26

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A

Now , the value of equation A is

h ( x ) = 4x - 22   be equation (1)

Now , to find the value of h ( 12 ) , substitute the value of x = 12 in the equation , we get

h ( x ) = 4x - 22  

h ( 12 ) = 4 x 12 - 22

On simplifying the equation , we get

h ( 12 ) = 48 - 26

           = 22

Therefore , the value of h ( x ) when x = 12 is 22

Hence , The value of h ( 12 ) is 26

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Answer:

1) x = 208     2) n = 28

Hope this helps! Have a great day!!

Step-by-step explanation:

1)

x  -  72  =  136

    +  72      +72

x             =    208

2)

 n  -  10  =  13  +  5

 n  -  10  =  18

       +10       +10

        n      =  28

First off we will use our definitions so you know what do to next time and make it easier,

Algebra - the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

_______________

Now we can start!

\(\huge\blue{\mid{\fbox{\tt{NUMBER\:ONE}}\mid}}\)

Add 72 to both sides,

Answer : \(x=208\)

\(\huge\blue{\mid{\fbox{\tt{NUMBER\:TWO}}\mid}}\)

Simplify ⇒ \(13+5\) ⇒ \(18\)

Add 10 to both sides

Answer : \(n=28\)

Answer:

20

Step-by-step explanation:

1/3 = .3

6/.3  = 20

Answer:

18

Step-by-step explanation:

6 ÷ 1/3

changing the ÷ sign into × sign and taking reciprocal of the second term

6 × 3/1

putting 1 as the denominator of 6

6/1 × 3/1

now multiplying both terms

18/1

18

The value of x is 3.

Given that,

If  \(5 + 20 \times 2^{2-3x}\),

And Baseline = \(10 \times 2^{-2x}+5\)

We have to find,

The value of x?

According to the question,

To determine the value of x in the equation following all the steps given below.

Equation; \(\rm 5 + 20 \times 2^{2-3x} = 10 \times 2^{-2x}+5\)

                   \(\rm5- 5 + 20 \times 2^{2-3x} = 10 \times 2^{-2x}+5-5\\\\\rm 20 \times 2^{2-3x} = 10 \times 2^{-2x}\)

                    \(\rm 20 \times 2^{2-3x} = 10 \times 2^{-2x}\\\\\dfrac{ 20 \times 2^{2-3x} }{10}= \dfrac{10 \times 2^{-2x}}{10}\\\\\rm 2 \times 2^{2-3x} = 2^{-2x}\)

                   \(\rm 2 \times 2^{2-3x} = 2^{-2x}\\\\2^1 \times 2^{2-3x} = 2^{-2x}\\\\2^{2-3x+1} = 2^{-2x}\\\\\)

                    \(\rm 2-3x+1 = -2x\\\\-3x+2x = -1-2\\\\-x = -3\\\\x=3\)

Hence, The required value of x is 3.

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Answer:

Remember the y-intercept is the y-coordinate of the function for x = 0.

From the graph, the function f(x) is constant, f(x) = 2, so the y-intercept of f(x) is 2.

From the table:

x              g(x)

2               4

4               6

6               8

You do not know the value of the function g(x) for x = 0. Only if you were told that g(x) is a line or you had some other information you might infere the y-intercept of g(x).

For example if g(x) is a straight line you can conclude that g(0) = 2, and that meant that the y-intercepts of f(x) and g(x) are equal

Step-by-step explanation:

Answer:

add 4x to both sides

Step-by-step explanation:

bc if u add 9x then u wont have a proper equation

To find the percentage, we can use the following formula:

Percentage = (Part / Whole) * 100

So, $131,701.32 is approximately 16.67% of $790,207.91.

In this case, the part is $131,701.32 and the whole is $790,207.91.

Percentage = ($131,701.32 / $790,207.91) * 100

Calculating the value:

Percentage ≈ 0.1667 * 100

Percentage ≈ 16.67%

Therefore, $131,701.32 is approximately 16.67% of $790,207.91.

Alternatively, we can calculate the percentage by dividing the part by the whole and multiplying by 100:

Percentage = ($131,701.32 / $790,207.91) * 100 ≈ 0.1667 * 100 ≈ 16.67%

So, $131,701.32 is approximately 16.67% of $790,207.91.

If you have any further questions, feel free to ask!

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The perimeter of the quadrilateral is 8 units. Therefore, the answer to the question is 8 units.

The perimeter of a quadrilateral is the sum of the lengths of its sides. To calculate the perimeter, we need to calculate the distances between the points of the quadrilateral.

To draw a quadrilateral with the given points on the coordinate plane, we can draw four lines connecting the given points. The first line will connect the points (–5, –2) and (–4, –2), which is a horizontal line with a length of 1 unit. The second line will connect the points (–4, –2) and (–4, 1), which is a vertical line with a length of 3 units. The third line will connect the points (–4, 1) and (–5, 1), which is a horizontal line with a length of 1 unit. The fourth line will connect the points (–5, 1) and (–5, –2), which is a vertical line with a length of 3 units.

The total length of the sides of the quadrilateral is calculated by adding the lengths of the four lines. Thus, the perimeter of the quadrilateral is 8 units.

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Answer:

a. 7(2g + 20t –3)

b. 14g + 140t – 21

Step-by-step explanation:

a. The first expression 7(2g + 20t  – 3)

Stacey and her six friends implies that we have 7 members in the group.

Therefore, the expression above implies that each member of the group has to pay for two rounds of golf and 20 tokens will be discounted $3.00.

The expression (2g + 20t –3) represents the quantity of cost of each friend and this is multiplied by 7 to obtain this first expression, i.e. 7(2g + 20t –3).

b. The second expression 14g + 140t – 21

The simple interpretation of this expression us that deducting $21 from the to total bill which is 14 games of golf plus 140 tokens is equal to the total amount this group spent.

Therefore, this second expression is obtained by simply opening the bracket in the first expression by multiplying 7 by each of the what is in the bracket.

Answer:

a

Step-by-step explanation:

Answer:

275 yards of ribbon need to be ordered

Step-by-step explanation:

Figure out how much ribbon, in inches, is needed altogether by multiplying the amounts of ribbon by how many boxes are expected to sell for both box sizes:

Small Boxes:

20 in • 225 boxes = 4500 in of ribbon needed

Large Boxes:

30 in • 180 boxes = 5400 in of ribbon needed

Add it up to see how much you need:

4500 + 5400 = 9900 in of ribbon needed in total

There are 36 inches in 1 yard, so divide 9900 by 36 to see how many yards need to be ordered:

9900 ÷ 3 = 275 yards

(Alternatively, you could divide 9900 by 12 inches in a foot to get 825 feet. Then you would divide 825 by 3 feet in a yard to get 275 yards)

Answer:

45 degree

Step-by-step explanation:

We need to know about perimeter to solve the problem.The width of the box is 6.5 feet.

Perimeter of a rectangle is the measure of the total length and width of the rectangle. In the question it is said that Ramon wraps a ribbon around the length and width of a rectangular box. The length of the box is 1 foot, the total length of ribbon used is 15 feet, we need to find the width of the box.

perimeter=2(l+b) where l is the length and b is the width

15=2(l+b)

15=2(1+b)

15-2=2b

b=13/2=6.5 feet

Therefore the width of the box is 6.5 feet.

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Answer:

look at the step by step

Step-by-step explanation:

I think -12 x-12 and something with the other number I think you have to mulitply it all

The set [1 0 −3 , −3 1 6 , 1 −1 0] is not a basis for set of real numbers R cubed(ℝ3).

The reason why it is not a basis is because it is not linearly independent. However, the set does span set of real numbers R cubed(ℝ3).To determine if the given set is a basis for set of real numbers R cubed(ℝ3), we need to test for linear independence and for span.Linear independence

The given set is said to be linearly independent if and only if the only solution to the equation a[1 0 −3] + b[−3 1 6] + c[1 −1 0] = [0 0 0] is the trivial solution where a, b and c are constants.If the given set is linearly independent then it is a basis for R3; if it is not linearly independent, it is not a basis for R3.

SpanThe given set is said to span R3 if every vector in R3 can be written as a linear combination of vectors in the given set.

If the given set spans R3, then it can be considered a basis for R3.For us to test if the given set is linearly independent, we can form a matrix by placing the three given vectors into the columns of a 3 x 3 matrix as follows:[1 0 1] [−3 1 −1] [−3 6 0]

By expanding the determinant of the matrix above, we get: det(A) = 0 - 0 - (-3) = 3

Since the determinant is non-zero, we can say that the given set is linearly independent. Since the given set is linearly independent, we can then use it to span R3. Hence the given set does not form a basis for R3 but it is linearly independent and spans R3.

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