The table shows the cost of 4 movie tickets at two theaters. Theater Cost ($) Movies Galore 30 Star Cinema 31 What equation can be used to model the total cost y for x tickets at Star Cinema? Write the equation in the form

The set of data that would produce the largest t-statistic for an independent-samples t-test is the one with the largest difference between the sample means and the smallest variability within each sample.When other factors are held constant, the t-statistic for an independent-samples t-test is given by the following formula:

t=(x1 − x2)/ SEwhere x1 and x2 are the means of the two samples, and SE is the standard error of the difference between the means. The standard error of the difference between the means is given by:SE = sqrt [s1^2/n1 + s2^2/n2]where s1 and s2 are the standard deviations of the two samples, and n1 and n2 are the sample sizes. Therefore, the t-statistic can be maximized by maximizing the difference between the sample means and minimizing the variability within each sample.Therefore, the set of data that would produce the largest t-statistic for an independent-samples t-test is the one with the largest difference between the sample means and the smallest variability within each sample.

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Answer:

The area is the product of length and width, which is to say that the length and width are factors of the area.

Assuming the dimensions are integers, you want factors of 84 that differ by 5.

Step-by-step explanation:

... 84 = 1×84 = 2×42 = 3×28 = 4×21 = 6×14 = 7×12

The last of these pairs differ by 5, so ...

the length is 12 inches

the width is 7 inches.

The answer is l=12, w=7

Answer:

Step-by-step explanation:

Givens

Let the width be w

Let the length be w + 5

Let the area = 84

Equation

A = L*w

Solution

x(x + 5) = 84              Remove the brackets

x^2 + 5x = 84            Subtract 84 from both sides

x^2 + 5x - 84 = 0      This will factor

(x - 7)(x + 12) =0

x + 12 has no meaning. Geometry does not use negative numbers.

x - 7 = 0                      Add 7 to both sides

x = 7

The width = 7

The length = 7 + 5 = 12

Answer:

55%

Step-by-step explanation:

22 ÷ 40 × 100 = 55

Hope this could help you

Answer:

16

Step-by-step explanation:

The surface area of the given parametrization is (11/24) (sec(2))².

In mathematics, a differential is a fundamental concept in differential calculus that represents an infinitesimal change or increment in a quantity. It is denoted by the symbol "d" followed by the variable or variables with respect to which the change is measured.

To compute the differential of surface area for the given parametrization, we can use the formula:

dS = ||∂r/∂u x ∂r/∂v|| dudv,

where ||∂r/∂u x ∂r/∂v|| represents the magnitude of the cross product of the partial derivatives of r with respect to u and v, and dudv denotes the differential of the u-v domain.

Let's calculate the differential of surface area step by step:

Step 1: Compute the partial derivatives of r with respect to u and v.

∂r/∂u = \(e^u\) cos(v), \(e^u\) sin(v), v

∂r/∂v = -\(e^u\) sin(v), \(e^u\) cos(v), u

Step 2: Calculate the cross product of the partial derivatives.

∂r/∂u x ∂r/∂v = (\(e^u\) cos(v))(u) - (e^u sin(v))(v), -(\(e^u\) cos(v))(u) - (-\(e^u\) sin(v))(v), (\(e^u\) cos(v))(\(e^u\) cos(v)) - (\(e^u\) sin(v))(-\(e^u\) sin(v))

= (u\(e^u\) cos(v) + v\(e^u\) sin(v), -u\(e^u\)sin(v) + v\(e^u\) cos(v), \(e^(2u)\) cos²(v) + \(e^(2u)\) sin²(v))

= (u\(e^u\)cos(v) + v\(e^u\) sin(v), -ue^u sin(v) + v\(e^u\) cos(v), \(e^(2u)\))

Step 3: Find the magnitude of the cross product.

||∂r/∂u x ∂r/∂v|| = \(\sqrt{(ucos(v) + ve^u sin(v))²}\) + (-u\(e^u\) sin(v) + v\(e^u\) cos(v))² + (\(e^(2u)\))²)

= \(\sqrt{((u² e^(2u) cos²(v) + 2uve^(2u)cos(v)sin(v) + v² e^(2u)sin²(v)\) + (u² \(e^(2u)\)sin²(v) - 2uv\(e^(2u)\)cos(v)sin(v) + v² \(e^(2u)\)cos²(v)) + \(e^(4u)\))

= \(\sqrt{(u² + v²}\)(cos²(v) + sin²(v)) + \(e^(4u)\))

= \(\sqrt{sqrt((u² + v² )}\) + \(e^(4u)\))

= \(\sqrt{e^4u}\) + (u² + v²)\(e^(2u)\))

Step 4: Integrate over the domain of u and v.

The surface area is given by:

S = ∫∫dS = ∫∫ ||∂r/∂u x ∂r/∂v|| dudv

= ∫[0,4]∫[0,2] \(\sqrt{e^(4u)}\) + (u² + v²)\(e^(2u)\)) dudv

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The range of the function shown in the graph is the set of all real numbers for y.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

The set of input values in the function is called domain and the set of output values are called range of the function.

So the range of the function will be the set of y values.

From the graph, it is clear that, the curve is passing corresponding to every y value.

In other words, if we draw a horizontal lines from curve, all the y values are touching the curve.

So the range is the set of all real numbers.

Hence the range is all the real numbers for y.

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Func1(x, y) returns the sum of the original values of x and y. func2(x, y) returns the average of the final values of x and y after swapping. func3(a, b, c) returns the average of the final values of b and c after swapping and averaging.

Break down the meaning of the value returned by each of the three functions:

1. func1(x, y): This function swaps the values of x and y by assigning x the value of y and y the value of x. Finally, it returns the sum of x and y. Therefore, the value returned by func1(x, y) can be described as the sum of the original values of x and y.

2. func2(x, y): This function calls func1(x, y) and assigns the returned value to y. It then calls func1(y, x) and assigns the returned value to x. Next, it calculates z as the difference between x and y. Finally, it returns the average of x and y, which is (x + y) / 2.

The value returned by func2(x, y) can be described as the average of the final values of x and y after the swapping operations.

3. func3(a, b, c): This function calls func2(a, b) and assigns the returned value to c. It then calls func1(a, c) and assigns the returned value to b. Finally, it returns the average of b and c, which is (b + c) / 3. The value returned by func3(a, b, c) can be described as the average of the final values of b and c after the swapping and averaging operations.

In summary, func1(x, y) returns the sum of the original values of x and y. func2(x, y) returns the average of the final values of x and y after swapping. func3(a, b, c) returns the average of the final values of b and c after swapping and averaging.

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The complete question goes thus:

Consider the following confusing functions: def func1(x,y): x=y y=x y=y return (x+y) def func2(x,y): y=func1(x,y) x=func1(y,x) z=x-y return (x+y)/2 def func3(a,b,c): c=func2(a,b) b=func1(a,c) return (b+c)/3 Explain the meaning of the value returned by each of the three functions, assuming that all of the parameters are integers. (For example, you can write something like "func1(x,y) returns x2 - y2". This specific answer will not give you points because it is wrong. But a similar style answer is correct.)

Answer:

It is 9

Step-by-step explanation:

Answer:

ur answer is 4

Step-by-step explanation:

Based on the rating factor of 75%, the normal time for the job element would be 11.19 seconds.

When given the rating factor, the normal time can be found as:

= Average time for the job element x Rating factor

Average time for the job factor is:

= [(10 x 18) + (15 x 25) + (20 x 17)] / (18 + 25 + 17)

= 14.92 seconds

The normal time for the job element is therefore:

= 14.92 x 0.75

= 11.19 seconds

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Answer:

You are correct, it is B.

Step-by-step explanation:

Answer:

The answer is (D)

Step-by-step explanation:

Given the n™ term of a number sequence, the first three terms of the sequence are 0, 2 and 6

The sequence is given as:

n^2 - n​

To write down the first three terms of the sequence, we set n =1, 2 and 3

So, we have:

When n = 1

n^2 - n​ = 1^2 - 1

Evaluate

n^2 - n​ = 0

When n = 2

n^2 - n​ = 2^2 - 2

Evaluate

n^2 - n​ = 2

When n = 3

n^2 - n​ = 3^2 - 3

Evaluate

n^2 - n​ = 6

Hence, the first three terms of the sequence are 0, 2 and 6

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The exact values of the remaining trigonometric functions are listed below:

Case 3: cos θ = 3 / 5, tan θ = 4 / 3, cot θ = 3 / 4, sec θ = 5 / 3, csc θ = 5 / 4

Case 4: sin θ = √11 / 6, tan θ = √11 / 5, cot θ = 5√11 / 5, sec θ = 6 / 5, csc θ = 6√11 / 11

Case 5: cos θ = 8√73 / 73, sin θ = 3√73 / 73, tan θ = 3 / 8, cot θ = 8 / 3, csc θ = √73 / 3

Case 6: sin θ = 1 / 2, cos θ = √3 / 2, tan θ = √3 / 3, sec θ = 2√3 / 3, csc θ = 2

In this problem we find four cases of trigonometric functions, whose exact values of remaining trigonometric functions must be found. The trigonometric functions are defined below:

sin θ = y / √(x² + y²)

cos θ = x / √(x² + y²)

tan θ = y / x

cot θ = x / y

sec θ = √(x² + y²) / x

csc θ = √(x² + y²) / y

Now we proceed to determine the exact values of the trigonometric functions:

Case 3: y = 4, √(x² + y²) = 5

x = √(5² - 4²)

x = 3

cos θ = 3 / 5

tan θ = 4 / 3

cot θ = 3 / 4

sec θ = 5 / 3

csc θ = 5 / 4

Case 4: x = 5, √(x² + y²) = 6

y = √(6² - 5²)

y = √11

sin θ = √11 / 6

tan θ = √11 / 5

cot θ = 5√11 / 5

sec θ = 6 / 5

csc θ = 6√11 / 11

Case 5: x = 8, √(x² + y²) = √73

y = √(73 - 8²)

y = 3

cos θ = 8√73 / 73

sin θ = 3√73 / 73

tan θ = 3 / 8

cot θ = 8 / 3

csc θ = √73 / 3

Case 6: x = √3, y = 1

sin θ = 1 / 2

cos θ = √3 / 2

tan θ = √3 / 3

sec θ = 2√3 / 3

csc θ = 2

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To solve this problem, we can use the concept of combinations. We want to select 4 leaders from a group of 30 students, so the total number of ways to select 4 leaders is:

30C4 = (30*29*28*27)/(4*3*2*1) = 27,405

Now, let's consider the number of ways to select 4 leaders where no girls are selected. Since there are 16 girls in the class, we must select all 4 leaders from the group of 14 boys. The number of ways to do this is:

14C4 = (14*13*12*11)/(4*3*2*1) = 10,626

Therefore, the number of ways to select 4 leaders where at least one girl is selected is:

27,405 - 10,626 = 16,779

So there are 16,779 ways to select the 4 leaders so that at least one girl is selected.

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As the number of flips increases from 10 to 10000, we can expect the relative frequency of the occurrence of a Head to become more stable and closer to the true probability of 0.2.

The true probability of observing a Head based on this simulation is 0.2, which means that out of 10 flips, we would expect to see 2 Heads on average. However, as the number of flips increases from 10 to 10000, we would expect the relative frequency of the occurrence of a Head to approach the true probability of 0.2.

This is because of the Law of Large Numbers, which states that as the sample size increases, the sample mean will approach the true mean. In the case of coin flipping, the more flips we make, the closer we will get to the expected proportion of Heads.

For example, if we flip the coin 100 times, we might get 30 Heads and 70 Tails, which is a relative frequency of 0.3. However, if we flip the coin 1000 times, we might get 200 Heads and 800 Tails, which is a relative frequency of 0.2. As we continue to increase the number of flips, the relative frequency will approach the true probability of 0.2.

Therefore, as the number of flips increases from 10 to 10000, we can expect the relative frequency of the occurrence of a Head to become more stable and closer to the true probability of 0.2. This is important to keep in mind when conducting any type of statistical analysis based on coin flipping or other random events.

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Answer:

wut

Step-by-step explanation:

Simple interest is the interest calculated on the principal at a given rate for a time period.

The equation used to solve for the rate of interest r is r = (A/P - 1) / t.

It is the interest calculated on the principal at a given rate for a time period.

We have,

A = P + Prt ______(1)

A = amount

P = principal

r = rate

t = time in years

To find the rate of interest we will have to solve (1).

A = P + Prt

A = P (1 + rt)

A/P = 1 + rt

Subtract 1 on both sides.

A/P - 1 = rt

Divide t on both sides.

(A/P - 1) / t = r

r = (A/P - 1) / t

Thus,

The equation used to solve for the rate of interest r is r = (A/P - 1) / t.

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By using fractions, the correct options are b and d

Number of strips = \(\frac{42}{5} \div \frac{7}{9}\)

                            = \(\frac{42}{5} \times \frac{9}{7}\)

What are fractions?

Suppose there is a collection and a part of collection has to be taken. The part which is taken is called fraction. In other words, part of a whole is called fraction.

The upper part of the fraction is called numerator and the lower part of the fraction is called denominator

Division of fraction is used here

Total length of wood = \(8\frac{2}{5}\) yards = \(\frac{42}{5}\) yards

Length of wood needed for each strip = \(\frac{7}{9}\) yards

Number of strips she will have = \(\frac{42}{5} \div \frac{7}{9}\)

                                                    = \(\frac{42}{5} \times \frac{9}{7}\)

Option b and d is correct

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Complete Question

The complete question has been attached here

Based on the dimensions, the side length d of the triangle to the nearest cm is 17 cm

The missing image in the question is attached

The side length d represents the hypotenuse of the triangle

To calculate the hypotenuse of a right triangle, we can use the Pythagorean theorem

In this case, the lengths of the legs are 8 cm and 15 cm. Let's call the length of the hypotenuse "d".

Then, we can write:

8² + 15² = d²

Simplifying the equation, we get:

64 + 225 = d²

So, we have

289 = d²

Taking the square root of both sides, we get:

d = √289

Evaluate

d = 17

Hence, the hypotenuse of the triangle is 17 cm.

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Answer:

200

Step-by-step explanation:

0.75X = 150

X = 200

so 200 is the answer

Answer:

200

150 is 75% of 200

Step-by-step explanation:

150 is 75% of what number

we can change this so it is simpler to understand.

150 = 75% of x

whenever it says "of" it is telling you to multiply

150 = 75% * x

now we simplify

150 = 75/100 * x

150 = 75x/100

*100       *100

15000 = 75x

/75          /75

200  = x

150 is 75% of 200

Answer:

$42

Step-by-step explanation:

The yearly membership is $450.

The monthly membership is $41. This means that in a year, the membership fee will be:

41 * 12 = $492

We have to subtract the yearly fee from this.

That means that if you choose the yearly membership over the monthly membership, you'll save:

492 - 459 = $42

Answer:

The correct answer is $42.

Step-by-step explanation:

W.K.T angle of a straight line is 180°.

40°+2x+30°+40°=180°

110°+2x=180°

2x=180°-110°

2x=70°. x= 70°/2=35°

X=35°

Hope this helps you.

Using it's concept, it is found that there is a 0.4901 = 49.01% probability that the person responded "same" or "better".

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Researching the problem on the internet, it is found that 424 + 566 = 990 out of 2020 respondants said that they were doing the same or better, hence:

p = 990/2020 = 0.4901

0.4901 = 49.01% probability that the person responded "same" or "better".

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1)The slope of the line is C) 13. 2)It would be inefficient since it is not the most optimal use of resources.the correct option is C. 3)The equilibrium price and quantity are D) $25 and 10 dozens of roses per day, respectively.

1) Y = 13X + 38, where Y is a function of X.

The slope of the line is 13.

Therefore, the correct option is C.

2) Kolin catches 25 fish and gathers 70 fruits. If we consider the combination, then it would be inefficient since it is not the most optimal use of resources.

Therefore, the correct option is C.

3) Using the given figure, we can see that the point where the demand and supply curves intersect is the equilibrium point. At this point, the equilibrium price is $25 and the equilibrium quantity is 10 dozens of roses per day.

Therefore, the correct option is D. The equilibrium price and quantity are $25 and 10 dozens of roses per day, respectively.

Note that this is the point of intersection between the demand and supply curves, which represents the market equilibrium.

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The y-axis intercept of the total cost curve is 100.

The y-axis intercept represents the value of the dependent variable when the independent variable is zero. In this case, the y-axis intercept represents the total cost when the quantity of units is zero.

Given the total cost curve c = 100 + 2q, we can find the y-axis intercept by setting q to zero:

c = 100 + 2(0)

c = 100

Therefore, the y-axis intercept of the total cost curve is 100.

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Answer:

1) b - correct statement: The interquartile range of the number of volunteers is 16

2) c - correct statement: About 50% of the students have between a 75 and a 90

Step-by-step explanation:

1B --> 66 - 50

2C --> About 50% of the students have between a 75 and a 90

Answer:

A. 18x - 3y = 6

Step-by-step explanation:

By taking 3 common from the terms 18x and 3y we get,

3 (6x-3y) = 6

or, 6x - y = 6/3

or, 6x - y = 2

And,

The equation becomes,

y = 6x - 2

The equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

By taking 3 commons from the terms 18x and 3y we get,

3 (6x-3y) = 6

6x - y = 6/3

6x - y = 2

The equation becomes,

y = 6x - 2

Therefore, the equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

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Answer:

S=105 T=60 and R=15

Step-by-step explanation:

Full explanation in comments, but I added an actual answer for the points ;P

Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice