A New York City hotel surveyed its visitors to determine which type of transportation they used to get around the city. The hotel created a table of the data it gathered.


Type of Transportation Number of Visitors
Subway 80
Bicycle 20
Car Service 30
Bus 16
Walk 54


Which of the following circle graphs correctly represents the data in the table?
circle graph titled New York City visitor's transportation, with five sections labeled walk 80 percent, bus 16 percent, car service 30 percent, bicycle 20 percent, and subway 54 percent
circle graph titled New York City visitor's transportation, with five sections labeled walk 40 percent, bicycle 8 percent, car service 15 percent, bus 10 percent, and subway 27 percent
circle graph titled New York City visitor's transportation, with five sections labeled subway 40 percent, bus 8 percent, car service 15 percent, bicycle 10 percent, and walk 27 percent
circle graph titled New York City visitor's transportation, with five sections labeled subway 80 percent, bicycle 16 percent, car service 30 percent, bus 20 percent, and walk 54 percent

In an assignment problem, each resource can perform only one task. The assignment problem is a linear programming problem that seeks to minimize the cost of assigning tasks to available resources.

An assignment problem is a combinatorial optimization problem in which a group of jobs must be assigned to a group of workers while minimizing the total cost of completing the jobs. This type of problem is solved using linear programming. In addition, there is a one-to-one matching between the set of jobs and the set of workers. The goal of an assignment problem is to find the optimal or best possible pairing of jobs to workers.To obtain the best possible solution, an optimal assignment algorithm can be utilized. There are four basic methods to solve the assignment problem: the Hungarian method, the matrix reduction method, the branch-and-bound method, and the Auction algorithm.

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Answer:  11

Step-by-step explanation:

5 + k      If k is equal to 6 then input 6 in for k and solve.

5 + 6 = 11  

Answer:

11

Step-by-step explanation:

If it says K = 6, just replace K with 6.

5 + k

5 + 6

11

The value of the triple integral is -16.

Triple integral is a mathematical concept used in calculus to calculate the volume of three-dimensional objects. It extends the concept of a single integral to functions of three variables and integrates over a region in three-dimensional space.

The triple integral of a function f(x, y, z) over a region E in three-dimensional space is denoted by:

∭E f(x, y, z) dV

We can set up the triple integral as follows:

∫∫∫ 16y dV

Where the limits of integration are:

0 ≤ x ≤ 2

0 ≤ y ≤ (2- \(x^2\)z)/(2y)

0 ≤ z ≤ 2/\(x^{2y\)

Note that the upper bound of integration for y is not a constant, but depends on both x and z.

Integrating with respect to y first, we get:

∫∫∫ 16y dV = ∫0^2 ∫\(0^(2-x^2z)/(2x)\)∫\(0^(2/x^2y) 16y dz dy dx\)

= ∫\(0^2\) ∫\(0^(2-x^2z)/(2x) 32/x dx dz\)

= ∫\(0^2\) [16(\(2-x^2z)/x^2\)] dz

= ∫\(0^2 (32/x^2 - 16z)\) dz

= 32∫\(0^2 x^-2 dx - 16\)∫\(0^2\)z dz

= 16 - 16(2)

= -16

Therefore, the value of the triple integral is -16.

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The equation of the line through (9,5,2) parallel to the x-axis is given by the parametric equations

x = 9 + t, y = 5, z = 2.

Here, t is a parameter that can take any real value, and the line extends to infinity in both the positive and negative directions.

A line can be defined as the set of points that satisfy the equation x = x1 +at

, y = y1 +bt,

and z = z1 + ct,

where x1, y1, and z1 are the coordinates of any point on the line, and a, b, and c is the direction ratios of the line. Here, we need to find the parametric equations for the line through (9,5,2) parallel to the x-axis. This implies that the direction ratios of the line are (1,0,0).

Hence, the parametric equations for the given line can be obtained as x = 9 + t, y = 5, z = 2.

Here, t is a parameter that can take any real value, which means that these equations represent the line passing through (9,5,2) and parallel to the x-axis. The equation of the line through (9,5,2) parallel to the x-axis is given by the parametric equations x = 9 + t, y = 5, z = 2. Here, t is a parameter that can take any real value, and the line extends to infinity in both the positive and negative directions.

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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model. The model assumes that the value of a stock is equal to the present value of all its expected future dividends.

First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17

Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40

Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65

Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92

Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.

The present value of the dividends can be calculated as follows:

PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n)

where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value:

PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)

PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5

PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59

PV ≈ $16.22

Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model.
The model assumes that the value of a stock is equal to the present value of all its expected future dividends. First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n) where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value: PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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Answer:

x=30

Step-by-step explanation:

9 - 3 = (x/5)

6 = x/5

(x/5) = 6

x = 5x6

x = 30

Check

(30/5) + 3 = 9

6 + 3 = 9

Hey love!

Answer:

The answer is x = 30

Step-by-step explanation:

1. Subtract 3 from both sides

2. Simplify

3. Multiply both sides by 5

4. Simplify to 30 :)

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Answer:

(-7,-1)

hope this helped:)

Answer:

i belive the slope is -2/11

Step-by-step explanation:

i took 2 points for the line (-3,-1) and (8,-3)

and then I used my slope method of y2-y1/x2-x1  

plugged the numbers in and god that

hope its correct

By using Euclid's first book, we can prove that the quadrilateral produced by perpendicular, unequal, bisecting diagonals is a kite. A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. In this case, the two pairs of adjacent sides are formed by the diagonals bisecting the quadrilateral into four smaller triangles with equal areas.

According to Euclid's first book, when two lines intersect at a right angle (perpendicular), they form four right angles. In the case of a quadrilateral with perpendicular, unequal, bisecting diagonals, the diagonals intersect at a right angle and divide the quadrilateral into four smaller triangles with equal areas.

1. Draw a quadrilateral with perpendicular, unequal, bisecting diagonals.
2. Label the points where the diagonals intersect as A, B, C, and D.
3. Label the point where the diagonals intersect as E.
4. Use Euclid's first book to prove that the angles at E are all right angles.
5. Use Euclid's first book to prove that the four triangles formed by the diagonals are congruent (equal in area).
6. Use the definition of a kite to prove that the quadrilateral is a kite (two pairs of adjacent sides are equal in length).
7. Therefore, the quadrilateral produced by perpendicular, unequal, bisecting diagonals is a kite.

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Answer:

Points ( 0, 13) , ( 30, 18) , ( 90 ,28)

Rate = y2-y1/x2-x1

Rate = 28-13 / 90-0 = 1/6 inches / Mins

Or

Rate = 18-13/30-0 = 1/6 inches / Mins

Answer:

Radius = 8 in

Area = πr2 = 3.14 x (8)2= 3.14 x (64)

Area = 201.1429 in²

Step-by-step explanation:

hope this helps if not please let me now

to find the reciprocal just switch the numerator and the denominator.

= 8/5 ( 8 by 5 )

An equation is formed of two equal expressions. The correct option is A, the sum will be equal to 5x = 10.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the two systems of equations Equation1: 2x+y=4 and Equation 2: 3x-y=6. Now if the two of the given equations are added the result will be,

2x + y + 3x - y = 4 + 6

5x  = 10

Hence, the correct option is A, the sum will be equal to 5x = 10.

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Answer:

\(3x-1\)

Step-by-step explanation:

\(3+2(x-2)+x=3+2x-2.2+x=(2x+x)+(3-4)\\=3x-1\)

Answer:

3x-1

Step-by-step explanation:

trust me i know

Answer:

41.67πunits³

Step-by-step explanation:

Since we are not asked what to find, we can as well  look for the volume of the cone.

Find the diagram of the cone attached

Volume of the cone = 1/3πr²h

h is the height of the cone

r is the radius of the cone

Volume of the cone = 1/3π(5)²(5)

Volume of the cone= 1/3π(125)

Volume of the cone = 125π/3

Volume of the cone = 41.67πunits³

Answer:

=50x2−1400x+4800

Step-by-step explanation:

In mathematics, Z means complex number and it is represented as (a+ib) where a is real part and b is the imaginary part.

In mathematics, the number are represented by using some certain notations, like N for all natural number, Z for all complex numbers, R for all real numbers.

Now, here the formula of Z is asked, Z is a combination of two number

Z = a+ib

Where, a is real part, b is the imaginary part and "i" is called the notation Iota that is used with the imaginary part to represent the imaginary part.

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Sum of first 7 terms of an AP = 49.

Sum of first 17 terms = 289

the sum of first 30 term

We know that,

Sum of first n terms of an AP – S(n) = n/2 * [ 2a + (n - 1)d ]

Hence,

→ 7/2 * [ 2a + (7 - 1)d ] = 49

→ 2a + 6d = 49 * 2/7

→ 2( a + 3d ) = 14

→ a + 3d = 14/2

→ a + 3d = 7 -- equation (1)

Similarly,

→ 17/2 * [ 2a + 16d ] = 289

→ 17/2 * 2 * (a + 8d) = 289

→ a + 8d = 289 * 2/17 * 1/2

→ a + 8d = 17 -- equation (2)

Subtract equation (1) from (2).

→ a + 8d - (a + 3d) = 17 - 7

→ a + 8d - a - 3d = 10

→ 5d = 10

→ d = 10/5

→ d = 2

Substitute the value of d in equation (1).

→ a + 3 * 2 = 7

→ a = 7 - 6

→ a = 1

Now,

Sum of first 30 terms = 30/2 * [ 2(1) + (30 - 1)(2) ]

→ S(30) = 15 (2 + 58)

→ S(30) = 15 * 60

→ S(30) = 900

Therefore, the sum of first 30 terms of the given AP is 900.

I hope it will help you.

Regards.

answer refer in pic siso

When analyzing research data, if the difference between group a and group b did not happen by chance and the data showed a real difference, the results are called statistically significant.

Statistically significant results occur in a research data when the difference between two groups is not likely to occur on its own, without the benefit of the independent variable. Statistically significant findings suggest that the researchers' outcomes are unlikely to be a result of chance, and that there is a relationship between the variables under investigation in the larger population. In such cases, the research usually rejects the null hypothesis and accept the alternative hypothesis.

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Answer:

area is 39.27

Step-by-step explanation:

The maximum purchase price per unit of the component that Ms. Alexander should negotiate with her supplier is $19.00, which is equal to the variable cost per unit to manufacture the part in-house.

In this scenario, Ms. Alexander needs to determine the maximum price per unit that she should be willing to pay the supplier for the component. She conducted a cost analysis and found that manufacturing the part in-house would require $450,000 in capital equipment and have a variable cost of $19.00 per unit.

Since there is no fixed cost associated with purchasing the component from the supplier, the maximum purchase price per unit should not exceed the variable cost per unit of manufacturing in-house. This ensures that the company does not incur additional costs by outsourcing the component.

Therefore, Ms. Alexander should negotiate a price with the supplier that is equal to or lower than the variable cost per unit, which is $19.00. By doing so, the company can avoid the initial capital investment and ongoing variable costs associated with in-house production, making it more cost-effective to purchase the component from the supplier.

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Answer: Q1 = 12.

Q3 = 18.

Hence the IQR is of:

IQR = Q3 - Q1 = 18 - 12 = 6.

The quartiles for Bus 18 are given as follows:

Q1 = 9.

Q3 = 16.

Hence the IQR is of:

IQR = Q3 - Q1 = 16 - 9 = 7.

Hence Bus 14 is the more consistent bus, due to the lower IQR.

Step-by-step explanation:

The statistical procedure used to describe the strength and direction of the linear relationship between two factors is called correlation analysis.

Correlation analysis is a statistical technique that examines the relationship between two variables to determine the strength and direction of their association. It focuses specifically on the linear relationship between the variables, which means it assumes that the relationship can be represented by a straight line.

The result of a correlation analysis is often expressed as a correlation coefficient, which measures the degree of association between the variables. The correlation coefficient ranges from -1 to 1, where:

A correlation coefficient of -1 indicates a perfect negative correlation, meaning that as one variable increases, the other variable decreases in a consistent manner.

A correlation coefficient of 1 indicates a perfect positive correlation, meaning that as one variable increases, the other variable also increases in a consistent manner.

A correlation coefficient close to 0 indicates a weak or no linear correlation between the variables.

Correlation analysis helps to understand the relationship between variables and can provide insights into patterns, trends, and dependencies in the data. However, it is important to note that correlation does not imply causation, meaning that a strong correlation between two variables does not necessarily imply that one variable causes the other to change.

In addition to determining the correlation coefficient, correlation analysis can also involve generating a scatter plot to visualize the relationship between the variables and conducting hypothesis tests to assess the statistical significance of the correlation.

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Answer: 47 students

Step-by-step explanation:

430 students went on a trip with the majority of them going on buses.

7 students however, had to use cars.

The number of students who used buses are:

= 430 - 7

= 423 students

The number of students in each bus is:

= No. of students taking buses / no. of buses

= 423 / 9 buses

= 47 students

Answer:

1. $1500

2. 15lb

Step-by-step explanation:

just subtract them

Answer:

The function is

\(f(x)=0.5x^3-3x^2+5.5x-2\)

The graph is attached.

Step-by-step explanation:

We have a function g(x) and we need to graph a new function that is function of g(x).

The final function is

\(f(x)=0.5\cdot g(x-2)+1\)

We start by calculating g(x-2):

\(g(x-2)=(x-2)^3-(x-2)\\\\g(x-2)=(x^3-6x^2+12x-8)-(x-2)\\\\g(x-2)=x^3-6x^2+11x-6\)

Then, we can calculate f(x) as:

\(f(x)=0.5\cdot g(x-2)+1\\\\g(x-2)=x^3-6x^2+11x-6\\\\\\f(x)=0.5(x^3-6x^2+11x-6)+1\\\\f(x)=0.5x^3-3x^2+5.5x-3+1\\\\\\f(x)=0.5x^3-3x^2+5.5x-2\)

You should distinguish elements of your data visualization by strategically positioning the foreground and background and utilizing contrasting colors and shapes.

To effectively distinguish elements in your data visualization, you should differentiate the foreground and background by using contrasting colors and shapes. This makes the content more accessible and easier to understand for the viewers. This approach helps to improve the visual hierarchy of the content and make it more accessible to viewers. By choosing contrasting colors and shapes, you can emphasize important data points and draw attention to key insights, making it easier for your audience to understand the information presented in your visualization.

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Answer:

.54788732

Step-by-step explanation:

Answer:

a) 15.52mm

b) 25.8275mm

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, or the area to the left side of the curve. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, that is, the area to the right side of the curve.

A) What wing-span has an area of 0.1005 on it left side under the standard normal curve?

This is X when Z has a pvalue of 0.1005. So it is X when Z = -1.28.

\(Z = \frac{X - \mu}{\sigma}\)

\(-1.28 = \frac{X - 20}{3.5}\)

\(X - 20 = -1.28*3.5\)

\(X = 15.52\)

This wing-span is 15.52mm.

B) What wing-span has an area of 0.0480 on it right side under the standard normal curve?

This is X when Z has a pvalue of 1 - 0.0480 = 0.9520. So this is X when Z = 1.665.

\(Z = \frac{X - \mu}{\sigma}\)

\(1.665 = \frac{X - 20}{3.5}\)

\(X - 20 = 1.665*3.5\)

\(X = 25.8275\)

This wing-span is 25.8275mm.

The volume of a solid is  \(\frac{26}{3} \pi\).

Given

The given curves about the specified line. y = x + 1, y = 0, x = 0, x = 2; about the x-axis

Curve is y = x + 1

Line is y = 0

We have to find out the volume v of the solid obtained by rotating the region bounded by these curves.

If the region bounded above by the graph of f, below by the x-axis, and on the sides by x=a and x=b is revolved about the x-axis, the volume V of the generated solid is given by \(V = \pi \int\limits^b_a {(f(x))^{2} } \, dx\). We can also obtain solids by revolving curves about the y-axis.

Volume of a solid:

According to washer method:

\(V = \pi \int\limits^b_a {(f(x))^{2} } \, dx\)

Using washer method, where a=0 and b=2, we get

V = \(\pi \int\limits^2_0 {(x+1)^{2} } \, dx\)

= \(\pi[ \frac{(x+1)^{3} }{3} ]0 \ to \ 2\)

= \(\pi [\frac{(3+1)^{3} }{3} -\frac{(0+1)^{3} }{3}]\)

= \(\pi [\frac{27}{3} -\frac{1}{3} ]\)

= \(\pi [\frac{26}{3}]\)

= \(\frac{26}{3} \pi\)

Therefore the volume of a solid is  \(\frac{26}{3} \pi\).

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The integral of F(x) is 2x(x² + 1)² is  ⅓(x² + 1)³ + C (option E).

To find the result of the integral ∫2x(x² + 1)³ dx, we can expand the expression inside the integral and then apply the power rule for integration.

Expanding (x² + 1)³, we get:

(x² + 1)³ = (x²)³ + 3(x²)²(1) + 3(x²)(1)² + (1)³

         = x⁶ + 3x⁴ + 3x² + 1

Now, we can rewrite the integral as:

∫2x(x² + 1)³ dx = ∫2x(x⁶ + 3x⁴ + 3x² + 1) dx

To integrate each term, we apply the power rule:

∫x⁶ dx = (1/7)x⁷ + C

∫3x⁴ dx = (3/5)x⁵ + C

∫3x² dx = (3/3)x³ + C = x³ + C

∫1 dx = x + C

Now we substitute the results back into the integral:

∫2x(x² + 1)³ dx = 2(∫x⁶ dx + ∫3x⁴ dx + ∫3x² dx + ∫1 dx)

               = 2((1/7)x⁷ + C + (3/5)x⁵ + C + x³ + C + x + C)

               = 2(1/7)x⁷ + 2(3/5)x⁵ + 2x³ + 2x + 4C

Therefore, the result of the integral ∫2x(x² + 1)³ dx is:

(1/7)x⁷ + (6/5)x⁵ + x³ + x² + C, where C represents the constant of integration.

o verify this, let's simplify the expression and differentiate it to see if we obtain the integrand 2x(x² + 1)³:

Let F(x) = ⅓(x² + 1)³ + C, where C is the constant of integration.

Now, let's differentiate F(x):

F'(x) = d/dx [⅓(x² + 1)³ + C]

= ⅓ * d/dx [(x² + 1)³] + d/dx [C]

= ⅓ * 3(x² + 1)² * 2x + 0

= 2x(x² + 1)²

As we can see, the derivative of F(x) is 2x(x² + 1)², which matches the integrand. Therefore, E. ⅓(x² + 1)³ + C is the correct answer.

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