A movie theater sold 64 Hckets. of the tickets sold were adult tickets. How many adult tickets were sold?​

The response rate is 52.021%.

Given a random sample of 2,000 households are selected for telephone interviews in which 432 interviews are completed, 586 are refused by the respondent, 902 do not answer or are not at home and 80 are non-working numbers.

Total Number of sample, S =2000

Completed interview, C = 432

Refusal by the Respondent, R = 586

No answer/ not at home , N = 902.

Non - working Numbers, NW = 80.

From the above data, we got responses from completed interviews and refusals by respondents.

so responded number (RN) is

RN=C+R

RN= 432+ 586

RN= 1018.

The actual number of samples =Total samples - non-working samples Actual number of samples=2000-80

The actual number of samples=1920

And the response rate (RR) is

RR=1018÷1920

RR=0.52021

Hence, the response rate from 2000 households which are selected for telephone interviews is 0.52021.

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The distribution function of M, FM(-), is given by FM(x) = x, 0 ≤ x ≤ 1.

The probability density function of M is\(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

In order to understand the distribution function of M, we need to consider the probability that M is less than or equal to a given value x. Since each Xi is uniformly distributed over (0,1), the probability that Xi is less than or equal to x is x.

For M to be less than or equal to x, all of the random variables Xi must be less than or equal to x. Since these variables are independent, their joint probability is the product of their individual probabilities. Therefore, the probability that M is less than or equal to x can be expressed as the product of n x's: P(M ≤ x) = x * x * ... * x = \(x^n\).

The distribution function FM(x) is defined as the probability that M is less than or equal to x. Therefore, FM(x) = P(M ≤ x) = \(x^n\).

To find the probability density function (PDF) of M, we differentiate the distribution function FM(x) with respect to x. Taking the derivative of \(x^n\)with respect to x gives us \(n * x^(^n^-^1^)\). Since the range of M is (0,1), the PDF is defined only within this range.

The distribution function of M is FM(x) = x, 0 ≤ x ≤ 1, and the probability density function of M is \(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

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Answer:

80 degrees

Step-by-step explanation:

180 - 20 = 160. 160 / 2 = 80. They're both the same lines so they should have the same angles.

D. 12,386, if you do the math thats what is equals

The complex numbers and De Moivre's Theorem have been determined.

What are Complex Numbers?

Basically, a complex number is made up of two numbers: a real number and an imaginary number.

Complex Number: (a + ib)

Where a is a real number and ib is an imaginary number, represents a complex number. a and b are real numbers, and i = √-1.

Example:

complex number is (5+9i)

Where 5 is a real number (Re) and 9i is an imaginary number (Im).

What is De Moivre's theorem?

The De Moivre Theorem provides a formula for calculating complex number powers.

De Moivre's formula states that for any real number x and integer n it holds that.

( cosx + i sinx )^n = cos(nx) + i sin(nx)

Where i is the imaginary unit.

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If the perimeter of the isosceles triangle is 12 cm, then the base of the triangle (x), as well as the length of the triangle leg (x) is 4 cm.

An isosceles triangle is a type of triangle in which two sides have the same length. These two equal sides are referred to as the legs of the triangle, while the remaining side is known as the base.

The perimeter of a triangle is the sum of the lengths of all its sides. In this case, since the triangle is isosceles, the base and one leg have the same length (x), and the other leg also has the same length (x). Therefore, the perimeter of the triangle is 2x + x = 3x. Given that the perimeter of the isosceles triangle is 12 cm, then:

3x = 12

 x = 12/3

 x = 4

So, the base and legs of the isosceles triangle each have a length of 4 cm.

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Your question seems to be missing the value for the perimeter of the triangle, but I suppose the complete question was:

"The length of the base of an isosceles triangle is x. The length of a leg is x. The perimeter of the triangle is 12 cm. Find x."

Answer:

down below

Step-by-step explanation:

Assuming you meant multiplying:

61.295

Hope this helps! :)

Answer:

the equation: 251+D=468

the answer: 217 miles

Step-by-step explanation:

Samantha drove a total of 468 miles, and she drove 251 miles on the first day. D would represent the distance traveled on the second day. The added distance traveled on both days will equal the total amount driven.

So, our equation will be 251 + D = 468.

To solve the equation,  we can use the inverse operations method in order to isolate D(the variable) To do that, we have to subtract 251 from both sides(both sides so that the equation still has the same value).

D=468-251.

Now we can simplify the equation to:

D=217.

The answer is: 217 miles will be traveled on the second day.

Answer:

C

Step-by-step explanation:

The terms given in US national debt in standard form when converted to scientific notation form will be 2.86 * 10^11, 3.70 * 10^11, 9.07 * 10^11, 3.23 * 10^12, 5.67 * 10^12 and 1.35 * 10^13 respectively.

Scientific notation if the process of conversion of very large numbers which are otherwise inconvenient to read into decimal form raised to some power of 10. During this conversion, the numbers in standard form are written such that only one place value before decimal is left and written as coefficient and all other numbers are then counted and written in the form of base 10 raised to some exponent value. The coefficient value must be such that its value lies between 1 and 9 and less than 10. Thus, the following numbers can be written as follows in scientific form.

286330760848.37 = 2.86 * 10^11

370918706949.93 = 3.70 * 10^11

907701000000.00 = 9.07 * 10^11

3233313451777.25 = 3.23 * 10^12

5674178209886.86 = 5.67 * 10^12

13561623030891.79 = 1.35 * 10^13  

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Answer:

8/21

Step-by-step explanation:

2x4 = 8

3x7 = 21

8/21 cannot be simplified

Answer:

8/21

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

Based on data collected by the National Center for Health Statistics and made available to the public in the Sample Adult database (A-5). an estimate of the percentage of adults who have at some point in their life been told they have hypertension is 23.53 percent. If we select a simple random sample of 20 U.S. adults and assume that the probability that each has been told that he or she has hypertension is .24. find the probability that the number of people in the sample who have been told that hypertension will be: a) Exactly three (b) Three or more (c) Fewer than three (d) Between three and seven, inclusive

Solution:

This is a binomial probability distribution. If an adult is selected randomly, the outcome is either he has been told that he has hypertension or he has not been told. The probability of success, p would be that a randomly selected adult, x has been told. Therefore,

p = 0.24

n = 20

a)We want to determine P(x = 3). From the binomial probability distribution calculator,

P(x = 3) = 0.15

b) P(x ≥ 3) = 0.89

c) P(x < 3) = 0.11

d) P(3 ≤ x ≤ 7)

It would be P(x ≤ 7) - P(x ≥ 3)

P(x ≤ 7) = 0.92

Therefore,

P(3 ≤ x ≤ 7) = 0.92 - 0.89 = 0.03

x^2 + y^2 + z^2 ≤ 4
z ≥ 0

The region you're describing is the solid upper hemisphere of a sphere with radius 2, centered at the origin. We'll use inequalities to define this region.

Let's use (x, y, z) to represent a point in the 3-dimensional space. The sphere centered at the origin with radius 2 can be described by the equation:

x^2 + y^2 + z^2 = 2^2

Since we're interested in the upper hemisphere, we want to include only the points where the z-coordinate is non-negative. Therefore, we have the inequality:

z ≥ 0

Combining the sphere equation and the inequality for the upper hemisphere, we get the inequalities:

x^2 + y^2 + z^2 ≤ 4
z ≥ 0

These inequalities describe the region of the solid upper hemisphere of the sphere with radius 2, centered at the origin.

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The equation of the parabola which has a vertex at (-2,0) is; y = x² +4x +4.

From the task content, it follows that the vertex of the of the parabola described by the graph in discuss is given by the point; (-2,0).

Hence, the vertex form of the equation is;

y = (x-(-2))² +0

Hence, the equation is; y = x² +4x +4.

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Answer: B

Step-by-step explanation:

Edge 2023

The probability  that both bills are $1 is 0.76

Following the selection of one $1 bill, the remaining number of $1 bills in the bag is reduced to 19.

Based on statistical analysis, there is a high likelihood of selecting a $1 bill on the second attempt, with a confidence level of 95%.

The probability of drawing two $1 bills is mathematically deduced to be zero. The attainment of a numerical outcome of 76 is contingent upon the computation of the product derived from the probability of selecting a $1 bill during the initial endeavor, which stands at 4 out of 5, and the likelihood of selecting another $1 bill in a consequent endeavor, which amounts to 19 out of 20.

In an alternative expression, the probability of two bills being $1 bills simultaneously is 76%.

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A square-based box with an open top and volume of 4,000 cm³ has minimum surface area when its dimensions are 10√2 cm by 10√2 cm by 20√2 cm.

Let's assume that the box has a square base with side length x and height h. Then, its volume is given by:

V = x^2 * h

We are given that the volume is 4,000 cm³, so we can write:

x^2 * h = 4,000

Solving for h, we get:

h = 4000 / x^2

The amount of material used to construct the box is the sum of the areas of its five faces (four sides and the base). Since the box has an open top, we don't need to consider its area. The area of the base is x^2, and the area of each side is x times the height h. Thus, the total surface area A of the box is given by:

A = x^2 + 4xh

Substituting the expression we found for h, we get:

A = x^2 + 4x(4000 / x^2)

Simplifying and factoring out 4, we get:

A = 4(x^2 + 1000/x)

To find the dimensions of the box that minimize the amount of material used, we need to find the value of x that minimizes A. We can do this by taking the derivative of A with respect to x and setting it equal to zero:

dA/dx = 8x - 4000/x^2 = 0

Solving for x, we get:

x = 10√2

Substituting this value back into the expression we found for h, we get:

h = 20√2

Therefore, the dimensions of the box (in cm) that minimize the amount of material used are:

side length of the base: 10√2 cm

height: 20√2 cm

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To construct an 80% confidence interval for the mean time needed to complete the step, the interval is calculated as 57.05 seconds < μ < 59.75 seconds. In order to obtain a 99.5% confidence interval with a margin of error of 1.5, a sample size of at least [sample size] is needed. Rounded up to the nearest integer.

To construct an 80% confidence interval for the mean time needed to complete the step, we use the sample mean time and the population standard deviation. With a sample size of 90 clamps, the mean time to complete the step was found to be 58.4 seconds. Using the appropriate formula, the confidence interval is calculated as 57.05 seconds < μ < 59.75 seconds, rounded to at least one decimal place.

In the second part of the question, we need to determine the sample size required to achieve a 99.5% confidence interval with a margin of error of 1.5 seconds. The margin of error represents the maximum likely difference between the sample mean and the true population mean. By rearranging the formula for the margin of error and solving for the sample size, we can find the minimum sample size needed. The answer should be rounded up to the nearest integer, as the sample size must be a whole number.

To find the required sample size, we use the formula for the margin of error: Margin of error = (critical value) * (standard deviation / sqrt(sample size)). By rearranging the formula and solving for the sample size, we obtain the expression (critical value) = (standard deviation / (margin of error / sqrt(sample size))). By substituting the given values, including the desired confidence level of 99.5% and the margin of error of 1.5 seconds, we can calculate the required sample size. The result should be rounded up to the nearest integer to ensure a sufficient sample size for the desired confidence level and margin of error.

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Two organ systems that help maintain homeostasis after exercise are the respiratory system and the cardiovascular system.

1. Respiratory System:

During exercise, the increased activity of muscles leads to an increased demand for oxygen, and as a result, the cells produce more carbon dioxide (CO2) as a byproduct of cellular respiration. The respiratory system plays a vital role in maintaining homeostasis by regulating the levels of oxygen and carbon dioxide in the body.

After exercise, the respiratory system responds by increasing the rate and depth of breathing. This elevated ventilation allows for a greater intake of oxygen from the inhaled air. The oxygen-rich air enters the lungs, where it diffuses across the thin walls of the alveoli and into the bloodstream. Simultaneously, the increased ventilation facilitates the removal of carbon dioxide from the bloodstream into the alveoli, ready to be exhaled.

By adjusting the rate and depth of breathing, the respiratory system helps restore homeostasis by replenishing oxygen levels and eliminating excess carbon dioxide. This ensures that the body's cells receive the necessary oxygen for energy production while preventing the buildup of carbon dioxide, which can be detrimental if allowed to accumulate.

2. Cardiovascular System:

The cardiovascular system, composed of the heart, blood vessels, and blood, works in conjunction with the respiratory system to maintain homeostasis after exercise. Its primary function is to deliver oxygen and nutrients to the tissues while removing waste products, including carbon dioxide.

During exercise, the cardiovascular system responds to the increased demand for oxygen and the accumulation of carbon dioxide. The heart rate increases, leading to a higher cardiac output. The cardiac output is the amount of blood pumped by the heart per minute, and it increases to meet the heightened oxygen requirements of the active muscles.

As the heart pumps more vigorously, blood flow to the muscles is enhanced. This allows for the delivery of oxygen and nutrients to the working tissues, promoting their optimal function. Simultaneously, the increased blood flow facilitates the removal of carbon dioxide produced during exercise.

The blood vessels also play a role in maintaining homeostasis after exercise. They undergo vasodilation, which means the blood vessels widen to accommodate the increased blood flow to the muscles. This vasodilation helps dissipate heat generated during exercise and allows for efficient oxygen and nutrient delivery to the tissues.

Together, the respiratory system and the cardiovascular system work synergistically to maintain homeostasis after exercise. The respiratory system ensures an adequate supply of oxygen and the elimination of excess carbon dioxide, while the cardiovascular system delivers oxygen and nutrients to the tissues while removing waste products. This coordinated effort helps restore the body's internal balance and supports efficient cellular function.

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♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The major branch of statistics that deals with making inferences about a population based on a sample is called inferential statistics.

In this scenario, you collected data from a sample of eight classmates and calculated the average score to be 65.

Based on this sample, you made an inference about the entire class, stating that the average test score for the whole class was less than 70. This inference is an example of using inferential statistics. Inferential statistics allows us to draw conclusions and make predictions about a larger population based on a smaller sample.

By using statistical techniques and assumptions, we can estimate parameters, such as the population mean, using sample statistics. This helps us make informed decisions and generalizations about a population when it is not feasible or practical to collect data from the entire population.

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Answer:

20 > -1

Step-by-step explanation:

Well 20 is a positive integer that is 20 units from 0 whereas -1 is a negative integer that is 1 unit behind zero.

Hey ! there

Answer:

Step-by-step explanation:

In this question we are given with three sides of a triangle that are as follows ,

And we are asked to :

We know that for finding perimeter of any shape we must have to add all the sides of the shape or ,

\( \qquad \: \underline{\boxed{\frak{Perimeter = Sum \: of \: all \: sides}}}\)

Solution : -

( a )

Now adding all the three sides of triangle to find the perimeter .

\( \hookrightarrow \quad \: ( x + 5 ) + ( 2 x + 4 ) + ( 2x - 3 ) \)

\( \hookrightarrow \quad \: \: x + 5 + 2x + 4 + 2x - 3\)

Combining like terms :

\( \hookrightarrow \quad \:x + 2x + 2x + 5 + 4 - 3\)

Now , solving :

\( \hookrightarrow \quad \: \red{\underline{ \boxed{ \frak{(5x + 6) \: cm}}}}\)

( b )

Now , we are finding perimeter of triangle when value of x is 10 . So substituting value of x in given sides of triangle ,

First Side :

Second Side :

Third Side :

So , all the sides are 15 cm , 24 cm and 17 cm .

Now , adding all these to find perimeter .

\( \hookrightarrow \qquad \: 15 + 24 + 17\)

\(\hookrightarrow \qquad \: 39 + 17\)

\(\hookrightarrow \qquad \: \red{\underline{\boxed{\frak{56 \: cm}}}}\)

Alternative Solution : -

As above we have find the perimeter of triangle in term of x that is ( 5x + 6 ) cm. So we can put value of x as 10 in this to get perimeter. So ,

Therefore, perimeter of triangle is 56 cm .

To find the perimeter of a shape, we should add all sides , like so :

x+5+2x+4+2x-3

Combine the x's :

x+2x+2x+5+4-3

x+4x+9-3

5x+6

5x+6 cm

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b.

Find the perimeter of the triangle if x = 10

Just write 10 instead of x :

5(10)+6

5(10) simplifies to 50 ↓

50+6

56

hope helpful ~

Answer:

Step-by-step explanation:

volume of sphere = 4πr³/3 = 972π in³

r³ = 729 in³

r = 9 in

The value of its radius is,

⇒ r = 6.14 inches

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The volume of this sphere is 972 pi cubic inches.

Now, We know that;

Volume of sphere is,

⇒ V = 4/3πr³

⇒ 972 = 4/3 × 3.14 × r³

⇒ 972 × 3 = 12.56 × r³

⇒ r³ = 232.16

⇒ r = ∛232.16

⇒ r = 6.14 inches

Thus, The value of its radius is,

⇒ r = 6.14 inches

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Answer:

on example 1, both are right triangles.

Answer:

I'm really sorry but show the table

Answer:

Step-by-step explanation:

interval in mathematics stands for a set of real numbers,

denoted by [a,b] where a and b are the starting and ending real numbers both inclusive respectively.

thus, interval [a,b] is the set of real numbers starting from a to b both are real numbers and are included.

Answer:

Saddle.

Sage.

Sail Boat.

Salad.

Salamander.

Salami.

Salmon.

Salt.

Step-by-step explanation:

Answer: string, shoes, sun, scissors, sand, stapler, safe, soap, salt, salmon, sailboat, scarf, seat,

The width (W) and length (L) of the n-channel MOSFET are given as W/L = 10. This means that the width of the MOSFET (W) is 10 times the length (L). The oxide thickness (Xox) of the n-channel MOSFET is given as 30 nm. This refers to the thickness of the oxide layer, which is the insulating layer between the gate and the channel of the MOSFET.

1. What is the width (W) and length (L) of the n-channel MOSFET?

The width (W) and length (L) of the n-channel MOSFET are given as W/L = 10. This means that the width of the MOSFET (W) is 10 times the length (L).

2. What is the oxide thickness (Xox) of the n-channel MOSFET?

The oxide thickness (Xox) of the n-channel MOSFET is given as 30 nm. This refers to the thickness of the oxide layer, which is the insulating layer between the gate and the channel of the MOSFET.

Now, let's provide a detailed explanation for both questions:

1. The width (W) and length (L) of the n-channel MOSFET determine its physical dimensions. The ratio of W/L is commonly used to describe the aspect ratio of the MOSFET. In this case, W/L = 10 indicates that the width is 10 times larger than the length. These dimensions play a crucial role in determining the characteristics and performance of the MOSFET, such as its current-carrying capacity and resistance.

2. The oxide thickness (Xox) refers to the thickness of the oxide layer in the MOSFET. The oxide layer acts as an insulator between the gate electrode and the semiconductor channel. A thicker oxide layer can lead to lower leakage currents and better gate control, while a thinner oxide layer can enhance device performance by allowing for higher current flow. In the given information, Xox = 30 nm specifies that the oxide layer in the MOSFET has a thickness of 30 nanometers. This value influences various MOSFET parameters, including threshold voltage, gate capacitance, and overall device reliability.

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Answer:

Step-by-step explanation:

It’s A

The measure of the arc ADC is 252°

The arc of a circle is defined as the part or segment of the circumference of a circle.

Given that, a circle O, with tangents AB and BC, the measure of arc AC is 108°, the measure of angle ABC is 72°, we need to find the measure of arc ADC,

According to the definition of circle,

We have,

m ∠ABC = (m arc ADC + m arc ADC) / 2

72° = (m arc ADC - 108°) / 2

144° = m arc ADC - 108°

m arc ADC = 144° + 108°

m arc ADC = 252°

Hence the measure of the arc ADC is 252°

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