Average movie prices in the United States are, in general, lower than in other countries. It would cost $78.93 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $75.82 How much does an average movie ticket cost in each of these countries?

Step-by-step explanation:

Area of rectangle is length x breadth.

Area = (x + 7)(x + 5)

= (x² + 5x + 7x + 35)

= (x² + 12x + 35)

Answer:

Below

Step-by-step explanation:

( Your question asks for m^2 discharge......I think you need m^3 discharge per minute)

Find the volume of a cylinder that is 8 meters long with radius of 8cm ( .08 m)

area = pi r^2 = pi (.08)^2 = .0201 m^2

    area * 8 m   = volume PER SECOND

        volume PER SECOND  *  60 = volume per minute

                 .0201   * 8 * 60 = 9.65 m^3 / min  discharge

The slope-intercept form of the equation 8x = 4y + 16 will be y = 2x -4.

What is equation straight line?

Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.

The equation given is 8x = 4y + 16.

We must solve for y as follows;

8x = 4y + 16

4y = 8x -16

By dividing through by 4; we have;

y = 2x -16

Hence the equation for both lines will be y = x +3 and   y  = x+13

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Answer:

72 = -4s

72 / (-4) = (-4s) / (-4)

-18 = s

by using log notation, the value of x =㏒₃500 or x = 5.657

Log notation is a mathematical expression used to represent any exponential relationship in its inverse form.

we use log notation to solve an equation in where an unknown variable is in index form. By applying logarithm laws, we write an exponential equation in the inverse form and finally we get the unknown values.

in the above equation 3ˣ = 500

using log notation, we get ㏒₃500 = x

                                    x= 5.657

hence, the solution is x = 5.657

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Representing data sets using frequency distributions and using graphs of frequency distributions can have several benefits. Here are some of the benefits of representing data sets using frequency distributions:

a) Organizing the data into afrequency  distribution can make patterns within the data more evident. By organizing the data into classes or bins and counting the number of observations within each class, you can see how the data is distributed and identify patterns or trends that may not be immediately apparent when looking at the raw data.

b) Organizing the data into a frequency distribution makes it possible to graph quantitative data. Many types of graphs, such as bar graphs and histograms, are based on frequency distributions and can be used to visualize the distribution of data.

c) It is easier to determine the minimum and maximum values of a data set when it has been arranged into a frequency distribution. By organizing the data into classes, you can easily see the range of values within each class and determine the overall range of the data set.

Here are some of the benefits of using graphs of frequency distributions:

a) It can be easier to determine the class boundaries by looking at a graph of the frequency distribution. When you create a graph of a frequency distribution, the class boundaries are often marked along the x-axis, which makes it easy to see where one class ends and the next begins.

b) Graphing a frequency distribution makes it possible to determine the relative frequencies of each of the classes. By looking at the heights of the bars on a bar graph or the heights of the columns on a histogram, you can see how each class compares to the others and determine the overall shape of the distribution.

c) It can be easier to identify patterns of a data set by looking at a graph of the frequency distribution. Graphs are a visual representation of data, and they can help you see patterns or trends that may not be immediately apparent when looking at the data in tabular form.

d) Graphing frequency distributions makes it possible to find the total number of observations. By adding up the frequencies of all the classes, you can determine the total number of observations in the data set.

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By using the concept of algebraic expression, it can be concluded that

The expression will be equal for all real numbers except -6

First option is correct.

What is algebraic expression?

Algebraic expression consist of variables and numbers connected with addition, subtraction, multiplication and division.

The given rational expression in simplified form is

[tex]\frac{(x-2)(x+6)}{7(x+6)} = \frac{x-2}{7}[/tex]

For x = -6, the denominator of the left hand side is zero

So the expression on the left hand side is undefined for x = -6

So the expression will be equal for all real numbers except -6

First option is correct.

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Answer: x=16

Step-by-step explanation:

The two angles in the picture is equal to each other.

So the 6x + 4 = 100 degree

6x = 96

x= 16

In the Algebra prompt above, If f(1) = 8 and f(n)=1/2f(n-1) + 2 then  the value of f(3) is 5.

Algebra is the branch of mathematics that aids in the representation of problems or situations using mathematical expressions.

We are given the following:

f(n)=1/2f(n-1) + 2; and

f(1) = 8

Thus,

f(2) = 1/2 x 8 + 2

= 4 + 2

f(2 )=  6

Hence,

f(3) = 1/2 x 6 + 2

= 3 + 2; thus,

f(3) = 5

Therefore,  it is correct to state that if f(1) = 8 and f(n)=1/2f(n-1) + 2 then  the value of f(3) is 5.

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The measure of the angles ∠1, ∠2, and ∠3 will be 38°, 65°, and 52°, respectively.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

Angle ∠1 is given by the property of complementary. Then we have

∠1 + 38° = 90°

∠1 = 52°

Angle ∠1 and angle ∠3 are complementary angles. Then we have

∠1 + ∠3 = 90°

52° + ∠3 = 90°

∠3 = 52°

Angle ∠2 is given by the property of supplementary. Then we have

∠2 + 52° + 63° = 180°

∠2 = 65°

The measure of the angles ∠1, ∠2, and ∠3 will be 38°, 65°, and 52°, respectively.

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Answer:

The answer is : 9345.

Step-by-step explanation:

N/A

Answer:

Step-by-step explanation:To determine which store charges the least amount per bottle, you need to calculate the price per bottle for each store. You can do this by dividing the total price of the cases by the number of bottles in each case.

For Super Buy, the price per bottle is $3.96 / 12 bottles = $0.33 per bottle.

For Fresh Grocers, the price per bottle is $2.08 / 8 bottles = $0.26 per bottle.

For Saveway, the price per bottle is $5.52 / 24 bottles = $0.23 per bottle.

For Shop and Go, the price per bottle is $7.56 / 36 bottles = $0.21 per bottle.

Based on these calculations, it looks like Shop and Go charges the least amount per bottle at $0.21.

Answer:

Nelson's average speed was 8 miles per hour.

Step-by-step explanation:

To find Nelson's average speed, you need to divide the distance he traveled by the time it took him to travel that distance. In this case, Nelson traveled 20 miles in 2 1/2 hours, so his average speed was 20 miles / 2.5 hours = <<20/2.5=8>>8 miles per hour.

Answer:

8 miles per hour

Step-by-step explanation:

In order to find Nelson's average speed, we can set up a proportion. To solve for x, x being miles traveled in one hour.

[tex]\frac{20 miles}{2.5hours} =\frac{x miles }{1 hour}[/tex]

x= 8

The ratio between the number of edges and the number of vertice of a cube is 2:3. All Prisms have a ratio of edges and vertices will be the same as that of the cube.

Edge – The outlines where two cube sides touch one another.

Vertices – The indicates the point where a cube's three sides meet.

Number of edges of a cube = 12

Number of vertices in a cube = 8

The ratio of edges in vertices = 12 : 8

                                             = 3 : 2

Hence, the ratio between the number the edges and the number of vertices of a cube is 3 : 2

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Answer:

A. 147.5

B. 430.2

Step-by-step explanation:

A. 2001

2001 - 1998 = 3

y = 122.1(1.065)³

y = 147.49

y = 147.5

B. 2018

2018 - 1998 = 20

y = 122.1(1.065)²⁰

y = 430.23706225

y = 430.2

I hope this helps!

Answer:

Step-by-step explanation:

Q1. Since each of Bruce's tiles is one square foot in area, his equation is y=x, where y=area and x=#of tiles. The area increases by one square foot for every tile added.

Q2. If it takes 9 of Felicia's tiles to equal 1 square foot, her equation is y=(1/9)x. We can check the table to see if this equation is right. If you put 18 into this equation, you get 2, for 27 you get 3, and so forth

Q3. Bruce has the greater unit rate of 1 and has the tiles that cover the greatest area, as opposed to Felicia, whose unit rate is only 1/9, since each of her tiles covers 1/9 of a square foot

Q4. The slopes are the same as the unit rates. Bruce's is 1, Felicia's is 1/9. Both of their y intercepts are 0, because if they put down 0 tiles, there will be no area covered because the problem does not state that there were tiles placed already before Bruce and Felicia started. You can also see this by graphing their equations

Q5. Bruce's line is steeper, with a slope of 1, versus Felicia's slope, which is 1/9. This matches the comparison from part c where we discovered that Bruce had the greater unit rate

For the  given case, in the residual plot, the x range is for the age  and  the y  range must be the  square foot

A residual plot appears the difference between the observed response and the fitted response values. The ideal remaining plot, called the null residual plot, appears as a random scatter of focuses shaping a roughly constant width band around the identity line. It is vital to check the fit of the model and presumptions – steady change, normality, and freedom of the errors, utilizing the residual plot, alongside normal, sequence, and lag plot.We  are given the information  that  there is a relationship between age and square foot range (sqft) of living space, so for  the  residual plot the y range must be for the  square foot and the  x range must the age

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(a) The standard deviation is 2.582

(b) No, because the standard deviations of these two distributions are not too different from one another.

a) In this question we have been given

The given information is:

First Digit      1     2    3    4    5    6      7     8      9

Probability   1/9 1/9 1/9 1/9 1/9  1/9   1/9  1/9  1/9

Now we find the standard deviation.

The mean for given data is:

μ = ∑xP(X = x)

μ = (1*1/9) +(2*1/9)+(3*1/9)+(4*1/9)+(5*1/9)+(6*1/9)+(7*1/9)+(8*1/9)+(9*1/9)

μ = 5

The standard deviation is:

σ² = ∑(x - μ)²P(X)

σ² = (1 - 5)² *1/9 +(2 - 5)²*1/9+(3 - 5)²*1/9+(4 - 5)²*1/9 + (5 - 5)²*1/9+(6 - 5)²*1/9+(7-5)²*1/9+(8-5)²*1/9)+(9-5)²*1/9

σ² = 2.582

(b) The uniform distribution's standard deviation is 2.582, while Benford's law's standard deviation is 2.46

Using the standard deviation to detect fraud is not a good idea because the two distributions have about the same standard deviation

Therefore, (a) The standard deviation is 2.582

(b) using standard deviations would not be a good way to detect fraud.

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The complete question is:

Benford’s law and fraud

(a) Using the graph from Exercise 21, calculate the standard deviation σY. This gives us an idea of how much variation we’d expect in the employee’s expense records if he assumed that first digits from 1 to 9 were equally likely.

(b) The standard deviation of the first digits of randomly selected expense amounts that follow Benford’s law is . Would using standard deviations be a good way to detect fraud? Explain your answer.

Dorothea needs 2.4 kilograms of filo pastry to make on pan of baklava.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b.

Given that,

The quantity needed of filo pastry to make one pan of baklava = 400 grams

To find the quantity of pastry to make 6 pans of baklava

Use ratio property,

1 pan of baklava needed = 400 grams

6 pans of baklava needed = 400 x 6 = 2400 grams

Since, 1000 gram = 1 kilogram

2400 gram = 2.4 kilograms

Hence, Dorothea needs 2.4 kilograms of filo pastry.

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The cost for 111 books is obtained as $3.5.

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

The given problem can be solved using unitary method as follows,

The cost for 666 books = $21

Then, cost for 1 book = 21/666

Thus, the cost of 111 books = 21/666 × 111

                                            = 21/6

                                            = 3.5

Hence, the cost for 111 comic book is given as $3.5.

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The slope and y-intercept of the linear function are -5 and 7 respectively.

Linear functions are those whose graph is a straight line. In other words, a linear function is defined as a function that has either one or two variables without exponents. It is a function that graphs to the straight line.

A linear function has one independent variable and one dependent variable.

A linear function has the following form. y = mx + b.

where

Therefore, let's find the slope of the function.

slope = m = Δy / Δx

using (0, 7) and (4, -13)

slope = m = -13 - 7 / 4 - 0

slope = - 20 / 4

slope = -5

Let's find the y-intercept using (0, 7).

y = -5x + b

7 = -5(0) + b

b = y-intercept = 7

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Answer: 0.0015813253

Step-by-step explanation:

is you ment to say 14,280 divided by 21 then it would be 632.380952381

Answer:

$7800

Step-by-step explanation:

1 year = 10%

3 years = 30%

30% = 0.3

6000 times 0.3 = $1800

6000 + 1800 = $7800

So, they will pay $7800

average rate of change from 4 to 9 minutes is 2.25 min . division of the y-value change by the x-value change.

It represents the average change in the function's per-unit value during that time period. On the function's graph, it is generated from the slope of the line connecting the interval's ends.

the difference between the y- and x-values is divided. Calculating the average rate of change is very helpful for tracking changes in measurable parameters like average speed or average velocity.

Given that

the change in y value occurred in 9 minutes and the change in x value occurred in 4 minutes, the average rate of change was 9 minutes by 4 minutes, or2.25 minutes.

9 min / 4 min

= 2.25 min

average rate of change from 4 to 9 minutes is 2.25 min . division of the y-value change by the x-value change.

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Answer:  D) 2.95 units

Step-by-step explanation:
I just took this

There are 60 grams of protein in 9 ounces of sauteed fish.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

We have been given that there are 20 grams of protein in 3 ounces of sauteed fish.

Let's assume that 9 ounces of sauteed fish contain x grams of protein.

As per the given information, we can write the ratio would be as:

20 grams of protein : 3 ounces = x grams of protein : 9 ounces

20/3 = x/9

x = (20 × 9)/3

x = 180/3

x = 60

Hence, there are 60 grams of protein in 9 ounces of sauteed fish.

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The question seems to be incomplete the correct question would be:

There are 20 grams of protein in 3 ounces of sauteed fish. If 3 ounces of sautéed then, what are the grams of protein fish has?

If we test the null hypothesis at the 5% level of significance, then the decision is (c)reject null hypothesis and conclude the means are different .

In the question ,

it is given that ,

the results of a mathematics placement exam for two different campuses of college ,

we have to test the hypothesis that the mean score on campus 1 is higher than on campus 2 .

sample size (n₁) is = 330

the sample size (n₂) is = 310

the sample mean (μ₁) = 33

the sample mean (μ₂) = 31

the standard deviation , σ₁ = 8

the standard deviation , σ₂ = 7

the test statistic test z can be calculated using the formula ,

z = (μ₁ - μ₂)/√(σ₁²/n₁ + σ₂²/n₂)

Substituting the values of the sample size , sample mean and standard deviation ,

we get ,

z = (33 - 31)/√(8²/330 + 7²/310)

Simplifying further ,

we get ,

Z = 3.37

the test is for the null hypothesis at the 5% level of significance .

that means ,

Z₀.₉₅ = 1.645 ;

So , the p value = P(Z > 3.37)

= 1 - P(Z < 3.37)

= 1 - 0.9996

= 0.0004

since the p-value is (0.0004) < the level of significance (0.05) .

we can reject the null hypothesis .

There is significant evidence to conclude that the mean score on campus 1 is higher than campus 2 .

Therefore , the correct option is (c) .

The given question is incomplete the complete question is

The results of a mathematics placement exam at two different campuses of mercy college follow: ( the table is given below)

The college wants to test the hypothesis that the mean score on campus 1 is higher than on campus 2. if we test the null hypothesis at the 5% level of significance, what is the decision ?

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The probability of both events occurring is 1/20.

What are examples and probability?

A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

                                   The likelihood of an event occurring increases as its probability increases. The flip of a fair (impartial) coin serves as a straightforward illustration.

Events X and Y are independent.

The probability of X occurring is 1/4

The probability of Y occurring is 1/5

Since both events are independent, then we have

P(X and Y ) = P(X) * P(Y)

                  = 1/4 * 1/5

                 = 1/20

 P( X and Y ) = 1/20

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Answer:

[tex]\dfrac{(y+2)^2}{4} -\dfrac{(x-4)^2}{9}=1[/tex]

Step-by-step explanation:

Given equation:

[tex]-4x^2 + 9y^2 + 32x + 36y - 64 = 0[/tex]

Collect like terms:

[tex]\implies 9y^2 + 36y -4x^2+ 32x - 64 = 0[/tex]

Move the constant to the right side of the equation:

[tex]\implies 9y^2 + 36y -4x^2+ 32x =64[/tex]

Factor out 9 from the terms in y, and 4 from the terms in x:

[tex]\implies 9(y^2 + 4y) -4(x^2-8x)=64[/tex]

Add the square of half the coefficient of the term in y and x inside the parentheses on the LHS, and the distributed values on the RHS:

[tex]\implies 9\left(y^2 + 4y+\left(\dfrac{4}{2}\right)^2 \right) -4\left(x^2-8x+\left(\dfrac{-8}{2}\right)^2 \right)=64+9\left(\dfrac{4}{2}\right)^2 \right+4\left(\dfrac{-8}{2}\right)^2 \right[/tex]

Simplify:

[tex]\implies 9(y^2 + 4y+4) -4(x^2-8x+16)=64+36-64[/tex]

[tex]\implies 9(y^2 + 4y+4) -4(x^2-8x+16)=36[/tex]

Factor the perfect trinomials:

[tex]\implies 9(y+2)^2 -4(x-4)^2=36[/tex]

Divide both sides by 36:

[tex]\implies \dfrac{9(y+2)^2}{36} -\dfrac{4(x-4)^2}{36}=\dfrac{36}{36}[/tex]

Simplify:

[tex]\implies \dfrac{\diagup\!\!\!\!9(y+2)^2}{\diagup\!\!\!\! 9\cdot 4} -\dfrac{\diagup\!\!\!\!4(x-4)^2}{9 \cdot \diagup\!\!\!\!4}=1[/tex]

[tex]\implies \dfrac{(y+2)^2}{4} -\dfrac{(x-4)^2}{9}=1[/tex]

Therefore, the function is a hyperbola with: