the following two-way table describes the preferences in movies and fast food restaurants for a random sample of 100 people. mcdonald's taco bell wendy's iron man 20 12 8 dispicable me 12 7 9 harry potter 6 14 12 what percent of the dispicable me lovers also like mcdonald's?

Answer:

$162.94

Step-by-step explanation:

Because 20% off of 192.15 = $162.94 and

$153.72  + (6.0%) $9.22  = $162.94

Answer:

cn=90, so long as c and n are whole numbers

Step-by-step explanation:

There are two variables in this equation you have here. One, n the number of bags, has already been given to you, because there can be any number of bags. The other, weĺl call it c, is the number of cans in each bag. Because there could be any number of bags, and the number of cans needed in each one is also a variable, you are left with more than one option. Any solution will work so long as the number of cans, c, per bag, n, is equal to the total, 90. There could be 9 cans in 10 bags, or 10 cans in 9 bags, or 15 cans in 6 bags or vice versa. The only way to define it for one answer is to have a set number of bags or cans per bag. Hope this helps!

Answer:

x > 0 and y > 0

Step-by-step explanation:

If the point (x,y) is in Quadrant I, then that means both x and y must be positive.  For this to be true, x must be greater than 0 and y must be greater than 0.

Cheers.

a. The probability that brand A will be preferred as the best is 0.65 or 65%.

b. The probability that brand A will be preferred as the best and brand B as the second best is 0.22 or 22%.

c. The probability that brand B will be preferred as the second best given brand A is preferred as the best is 0.615.

What is probability?

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability.

a) The probability that brand A will be preferred as the best can be calculated by adding up the frequencies of outcomes where brand A is listed first, which are (A, B, C), (A, C, B), and (C, A, B), and dividing by the total number of outcomes:

P(A is preferred as the best) = (220 + 180 + 250) / 1000 = 0.65

Therefore, the probability that brand A will be preferred as the best is 0.65 or 65%.

b) The probability that brand A will be preferred as the best and brand B as the second best can be calculated by adding up the frequency of the outcome (A, B, C), where brand A is listed first and brand B is listed second, and dividing by the total number of outcomes:

P(A is preferred as the best and B is preferred as the second best) = 220 / 1000 = 0.22

Therefore, the probability that brand A will be preferred as the best and brand B as the second best is 0.22 or 22%.

c) To find the probability that brand B will be preferred as the second best given brand A is preferred as the best, we need to consider only the outcomes where A is listed first:

P(B second | A first) = (A, B, C) + (A, C, B) / P(A first)

P(B second | A first) = (220 + 180) / 650

So the probability that brand B will be preferred as the second best given brand A is preferred as the best is 400/650 = 0.615.

To know more about probability visit,

https://brainly.com/question/13604758

#SPJ1

In the first month's payment for a $180,000 mortgage with a 5.5 percent, 30-year loan, a portion will go towards the principal. The exact amount can be determined using an amortization schedule.

To calculate how much of the first month's payment goes towards the principal, we can follow these steps:

Step 1: Determine the monthly interest rate: Divide the annual interest rate by 12 to obtain the monthly interest rate. In this case, 5.5 percent divided by 12 equals 0.004583 (approx).

Step 2: Calculate the monthly payment: Use a loan payment formula or a mortgage calculator to determine the monthly payment amount. For a $180,000 mortgage with a 30-year loan term and a 5.5 percent interest rate, the monthly payment would be approximately $1,019.32 (approx).

Step 3: Create an amortization schedule: An amortization schedule shows the breakdown of each monthly payment, indicating the amount allocated to interest and principal. Using the loan details, create an amortization schedule or use an online tool to generate one.

Step 4: Locate the first month on the schedule: Find the first month's entry on the amortization schedule to determine the amount allocated to principal. This amount will vary depending on the specific terms of the loan. Locate the principal portion of the payment, which represents the reduction of the loan balance.

By following these steps and referencing the amortization schedule, you can determine the exact amount of the first month's payment that goes towards the principal of the $180,000 mortgage.

Learn more about  monthly interest rate here:

https://brainly.com/question/17293620

#SPJ11

Answer:

A, C, D, E

Step-by-step explanation:

Input your equations and tables into Desmos graphing to get your answers.

The rate of change of the circle diameter with respect to the radius is a constant value of 2.

The diameter of a circle is twice the radius, so we can write:

Diameter = 2 * Radius

To find the rate of change of the diameter with respect to the radius, we can take the derivative of both sides of this equation with respect to the radius:

diameter/d(radius) = d(2 * radius)/d(radius)

The derivative of 2*radius with respect to radius is simply 2, so we can simplify the equation:

diameter/d(radius) = 2

Therefore, the rate of change of the circle diameter with respect to the radius is a constant value of 2. This means that if we increase the radius by a small amount, the diameter will increase by twice that amount. Conversely, if we decrease the radius by a small amount, the diameter will decrease by twice that amount.

for such more question on diameter

https://brainly.com/question/390660

#SPJ4

The center height of the semi-elliptical arch of a bridge with a span of 120 feet and a height of 10 feet at a distance of 10 feet from the center is estimated to be around 10.534 feet.

Let's denote the height of the arch at the center as h. We can use the equation of a semi-elliptical arch to solve for h.

The equation of a semi-elliptical arch is given by:

y = a√(1 - x²/b²)

where:

We are given that the span of the arch is 120 feet, so b = 60. We are also given that the height of the arch at a distance of 10 feet from the center is 10 feet, so we can plug in x = 10 and y = 10 to get:

10 = a√(1 - 10²/60²)

Simplifying, we get:

Therefore, the height of the arch at its center is approximately 10.534 feet.

Learn more about semi-elliptical

brainly.com/question/29009268

#SPJ11

Given:

\(x=-\dfrac{8}{9},\ y=-\dfrac{3}{5}\)

To verify:

\(x+y=y+x\)

Solution:

We need to verify,

\(x+y=y+x\)

Taking left hand side, we get

\(LHS=x+y\)

After substituting the values, we get

\(LHS=-\dfrac{8}{9}+\left(-\dfrac{3}{5}\right)\)

\(LHS=-\dfrac{8}{9}-\dfrac{3}{5}\)

\(LHS=\dfrac{-40-27}{45}\)

\(LHS=\dfrac{-67}{45}\)

Now,

Taking right hand side, we get

\(RHS=y+x\)

After substituting the values, we get

\(RHS=-\dfrac{3}{5}+\left(-\dfrac{8}{9}\right)\)

\(RHS=-\dfrac{3}{5}-\dfrac{8}{9}\)

\(RHS=\dfrac{-27-40}{45}\)

\(RHS=\dfrac{-67}{45}\)

Clearly,

\(LHS=RHS\)

Hence verified.

Answer: C

Step-by-step explanation:

6x-7+3 = 32+3x> 6x - 4 = 32+ 3x > 3x = 36 > x = 12

∠1 and ∠2 are right angles because the measure of both angles is 90 and supplementary angles because the sum of both angles is 180°.

Triangle is a polygon that has three sides and three angles and the sum of the angle of the triangle is 180 degrees.

The figure is attached in the picture, please refer to the attached picture.

Given that:

An Angle in the figure is a right angle.

Its measure = 90°

So,∠2 = 90° ( vertically opposite angles are equal )

∠1 + ∠2 = 180° ( Linear Pair )

∠1 = 180 - 90

∠1 = 90°

∠1 = ∠2 = 90°

So, ∠1 and ∠2 are right angles because measure of both angles is 90°.

Adjacent angles because both a common arm and a common vertex.

Thus, ∠1 and ∠2 are right angles because the measure of both angles is 90 and supplementary angles because the sum of both angles is 180°.

Learn more about triangles here:

https://brainly.com/question/28190041

#SPJ1

Answer:

(x+5)/(2x+3)

Step-by-step explanation:

So we know the top part is difference of two squares. So thats (x+5)(x-5)

The bottom part

Firstly you do 2 times -15= -30

Now we need to find two numbers with a difference of 7 but multiply to give 30.

30

1 x 30

2 x 15

3 x 10

5 x 6

From here we can see 3-10=-7 and multiply to make -30

So we do 2x²-10x+3x-15

simplify this in two different parts: 2x²-10x and 3x-15

2x(x-5) and 3(x-5)

Therefore we get (2x+3)(x-5)

(x+5)(x-5)/(2x+3)(x-5)

x-5 is common so they cancel each other out leaving you with

(x+5)/(2x+3)

I hoped this helped :)

The perimeter (p) can be expressed as: p = s + s + s = 3s.

If "s" represents the measure of one side of the equilateral triangle, then:

The perimeter (p) of an equilateral triangle can be found by adding up the length of all three sides. Since all sides of an equilateral triangle are equal, the perimeter (p) can be expressed as: p = s + s + s = 3s.

Another way to express the perimeter (p) of an equilateral triangle is to use multiplication. Since all three sides are equal, we can simply multiply the length of one side (s) by 3 to get the perimeter (p): p = 3s.

To know more about Perimeter, visit:

https://brainly.com/question/6465134

#SPJ1

Answer:

15:25

Step-by-step explanation:

15 correct from 25 total

Answer:

15;25

Step-by-step explanation:

i)It ended at  21:13

ii) 440*10/100

44 mins longer

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

110% = 440 minutes (Tuesday journey)

100% = 100/110 x 440

100% = 400 minutes (Monday journey)

Tuesday's journey took 40 minutes longer than Monday's journey.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

On Tuesday the train journey took 7 hours and 20 minutes and began at

13:53.

The time train journey ended.

= 13:53 + 7 hours + 20 minutes

= 13 hours + 53 minutes + 7 hours + 20 minutes

= 20 hours + 73 minutes

= 20 hours + 60 minutes + 13 minutes

= 20 hours + 1 hour + 13 minutes

= 21 hours + 13 minutes

This means,

= 21:13

The train ended the journey at 21:13

Tuesday's time of 7 hours and 20 minutes was 10% more than Monday's journey time.

This means,

Converting into minutes.

7 hours 20 minutes

= 60 x 7 + 20 minutes

= 420 minutes + 20 minutes

= 440 minutes

Monday's journey time.

110% = 440 minutes:

100% = 100/110 x 440

100% = 400 minutes

Thus,

Tuesday's journey took 40 minutes longer than Monday's journey.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ5

Answer: B = 1.9

Step-by-step explanation:

A=5

C=12

B=x

Pythagorean Theorem: 5^2 + x^2 = 12^2  

25+x^2=144

x^2=119

\(\sqrt{19}\)≈10.9

In a case whereby the sum of two consecutive numbers is 25 the largest of the consecutive numbers is 13.

Given that sum of two consecutive numbers is 25 , ans we were required to locatye the  largest of the consecutive numbers. The we can represent the consecutive numbers as x and x+1. According to the problem, the sum of these two consecutive numbers is 25:

x + (x+1) = 25

Simplifying the left side of the equation:

2x + 1 = 25

2x = 24

Dividing both sides by 2:

x = 12

So the first consecutive number is 12. The second consecutive number is 12 + 1 = 13. Therefore, the largest of the consecutive numbers is 13.

Learn more about consecutive numbers at:

https://brainly.com/question/26352026

#SPJ1

Torsion refers to the twisting of a structural member due to the application of torque. Pure torsion occurs when a structural member is subjected to torsional loading only. It is analyzed using assumptions such as linear elasticity, circular cross-sections, and small deformations. The torsion equation relates the applied torque, the polar moment of inertia, and the twist angle of the member. However, this formula has limitations in cases of non-circular cross-sections, material non-linearity, and large deformations.

Torsion is the deformation that occurs in a structural member when torque is applied, causing it to twist. In pure torsion, the member experiences torsional loading without any other external forces or moments acting on it. This idealized scenario allows for simplified analysis and calculations. The assumptions made in pure torsion analysis include linear elasticity, which assumes the material behaves elastically, circular cross-sections, which simplifies the geometry, and small deformations, where the twist angle remains small enough for linear relationships to hold.

To analyze pure torsion, engineers use the torsion equation, also known as the Saint-Venant's torsion equation. This equation relates the applied torque (T), the polar moment of inertia (J), and the twist angle (θ) of the member. The torsion equation is given as T = G * J * (dθ/dr), where G is the shear modulus of elasticity, J is the polar moment of inertia of the cross-section, and (dθ/dr) represents the rate of twist along the length of the member.

However, the torsion equation has its limitations. It assumes circular cross-sections, which may not accurately represent the geometry of some structural members. Non-circular cross-sections require more complex calculations using numerical methods or specialized formulas. Additionally, the torsion equation assumes linear elasticity, disregarding material non-linearity, such as plastic deformation. It also assumes small deformations, neglecting cases where the twist angle becomes significant, requiring the consideration of non-linear relationships. Therefore, in practical applications involving non-circular cross-sections, material non-linearity, or large deformations, more advanced analysis techniques and formulas must be employed.

To learn more about torsion click here: brainly.com/question/30612977

#SPJ11

Answer:

The answer is 13%

Step-by-step explanation:

The approximate percent increase is 13%.

Percentage increase is the difference between the final value and the initial value, expressed in the form of a percentage. To calculate the percentage we need to have the initial value and the increased (new) value. In other words, we can say that percentage increase is a measure of percent change which gives the extent to which a quantity gains magnitude, intensity, or value. If the percentage increase is a negative value, then we can say that there is a percentage decrease of the same magnitude.

Following the concept of percentage increase, the percentage increase formula is derived and expressed as: Percentage Increase = [(Final Value - Initial Value)/Initial Value] × 100. It should be noted that since the percentage has to be a positive quantity, we take the absolute value of the initial value. If the percentage increase is a negative value, then it is a percentage decrease. The percentage increase is the relative change in the quantity with respect to its initial value. If the percentage change is positive, then it is the percentage increase and if the percentage change is negative, it is a percentage decrease.

Given:

initial =$900,000

Final = $900,000

% increase = $900,000- $800,000/ $800,000 * 100

% increase = 100, 000/8000

% increase = 12.5 %

Learn more about percentage increase here:

https://brainly.com/question/27992848

#SPJ6

The absolute value of the percent change in the volume of the cylinder is 20%.


When the radius of a right circular cylinder is decreased by 20%, its new radius becomes 0.8 times the original radius (1 - 0.20 = 0.8).

Likewise, when its height is increased by 25%, its new height becomes 1.25 times the original height (1 + 0.25 = 1.25).

The volume of a right circular cylinder is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height. Let V₁ be the original volume, and V₂ be the new volume after the changes.

V₁ = π(r)²(h) and V₂ = π(0.8r)²(1.25h)

V₂ = π(0.64r²)(1.25h) = 0.8πr²h

Thus, the new volume is 0.8 times the original volume. This represents a 20% decrease in volume (1 - 0.8 = 0.20 or 20%). So, the absolute value of the percent change in the volume of the cylinder is 20%.

In summary, decreasing the radius by 20% and increasing the height by 25% results in a 20% decrease in the volume of the right circular cylinder.

Know more about  right circular cylinder here:

https://brainly.com/question/2963891

#SPJ11

The range of values of x that satisfy sec(x) = -√(2) and π/2 is:

x = 3π/4, 5π/4, 0.453, 5.829.

The range of values of x is calculated as follows;

Since sec(x) = 1/cos(x), we can use the identity cos^2(x) + sin^2(x) = 1 to solve for cos(x).

First, we consider the case where sec(x) = -√(2).

We know that sec(x) = 1/cos(x), so we can write:

1/cos(x) = -√(2)

Multiplying both sides by cos(x) gives:

1 = -√(2)cos(x)

Dividing both sides by -√(2) gives:

-1/√(2) = cos(x)

So, x is an angle whose cosine is -1/√(2). This occurs in the second quadrant, where cosine is negative. We can find the reference angle for this value of cosine by taking the arccosine of its absolute value:

arccos(|-1/√(2)|) = π/4

Therefore, x is either:

x = π - π/4 = 3π/4

or

x = π + π/4 = 5π/4

Next, we consider the case where sec(x) = π/2. We know that sec(x) = 1/cos(x), so we can write:

1/cos(x) = π/2

Multiplying both sides by cos(x) gives:

1 = π/2 cos(x)

Dividing both sides by π/2 gives:

2/π = cos(x)

So, x is an angle whose cosine is 2/π. This occurs in the first quadrant, where cosine is positive. We can find the reference angle for this value of cosine by taking the arccosine:

arccos(2/π)

Using a calculator, we find that:

arccos(2/π) ≈ 0.453

Therefore, x is either:

x = 0.453

or

x = 2π - 0.453 ≈ 5.829

So the range of values of x that satisfy sec(x) = -√(2) and π/2 is:

x = 3π/4, 5π/4, 0.453, 5.829

Learn more about sec functions here: https://brainly.com/question/14961055

#SPJ1

The complete question is below:

If sec(x) = -√(2) and π/2, find the range of values of x

Answer:I think it’s B but I’m not so sure

Step-by-step explanation:

Answer:

2 - 9

3 - 16

4 - 25.

Step-by-step explanation:

I think you want this:

2 - (2+1)(2+1)

3 - (3 + 1)(3+1)

4 - (4+1)(4 + 1)

You substitute 2, 3 and 4 into  x - (x+1)(x+1) and work them out.

Answer:

x = 45/2 or 22.5

Step-by-step explanation:

Since we are given CDE ~ KLM, we know that C is similar to K, D is similar to L, and E is similar to M. The problem asks to find DE, so by comparison, it is known that DE is similar to LM.

From the two triangles, KM is similar to CE, and we can see that the ratio between the two is 8:15. We are given LM, which is 12, so we can find x using this equation to compare the smaller triangle to the bigger one:

KM/CE = LM/DE

Plug in your given values:

8/15 = 12/x

Find x:

x = 45/2 or 22.5

The value of each number is 52 and 39.

The ratio given is = 4 :3

Given, the sum of x + y = 91

(4n) + (3n) = 91

7n = 91

n = 13

So,

x = a*n = 4*13 = 52

y = b*n = 3 *13= 39

The ratio of 52:39 is 4:3.

The sum 52+39 = 91

Hence, the numbers are 39 and 52.

To know more about ratio , visit

brainly.com/question/26891381

#SPJ1

Transformed shapes contribute to the design of objects by making them more efficient to get the most out of their characteristics.

Architecture is a term to refer to the technique of projecting, designing and building, modifying the human habitat based on the proper use and function of spaces.

Engineering is a term for the use of scientific principles to design and create machines, structures, and other objects.

These two disciplines use modified shapes to design and build objects and structures, that is, they take geometric shapes and make modifications to them to get the most out of an element as needed.

For example, engineers and architects who design and build a house must modify the geometric figures of the square, rectangle and triangle to make their spaces with:

Appropriate amplitude, The most efficient lighting and Their roof is inclined so that on days of rain the water rolls to the sides of the house.

Learn more about architecture in:

brainly.com/question/2929624

#SPJ1

The surface area of this sphere is equal to 21.2 cm².

In Mathematics and Geometry, the surface area of a sphere can be calculated by using the following mathematical equation (formula):

Surface area of a sphere, S = 4πr²

Where:

r represents the radius.

By substituting the given radius into the formula for the surface area of a sphere, we have the following;

Surface area of a sphere, S = 4πr²

Surface area of a sphere, S = 3.14 × 2.6²

Surface area of a sphere, S = 3.14 × 6.76

Surface area of a sphere, S = 21.2 cm²

Read more on sphere here: brainly.com/question/20394302

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.