One night a theater sold 548 movie tickets. An Adult’s ticket costs $6.50 and a child’s ticket cost $3.50. In all $2881 was taken in. How many of each kind of ticket were sold?​

A value of 0.25 for p(1-p) in the sample size formula when the true value of p is unknown.

This is because the value of p(1-p) is maximum when p=0.5, and since we do not have any information about the true value of p, assuming p=0.5 is the most conservative approach. Therefore, to calculate the sample size required to estimate a proportion using a confidence interval with a margin of error e, we can use the formula:

\(n = [z^2 * p(1-p)] / e^2\)

where z is the z-score corresponding to the desired level of confidence (e.g., 1.96 for 95% confidence), and e is the desired margin of error. We can use p=0.5 and solve for n to get a conservative estimate of the sample size required for the given confidence level and margin of error.

Learn more about sample size ,

https://brainly.com/question/30885988

#SPJ4

If prior knowledge or data suggests that the proportion is significantly different from 0.5, then a more accurate estimate of p should be used in the formula.

To calculate the sample size formula for estimating a proportion using a confidence interval with a margin of error e, we

use the following formula:

\(n = (Z^2 × p × (1-p)) / e^2\)

where n is the required sample size, Z is the Z-score corresponding to the desired level of confidence,

p is the estimated proportion, and

e is the margin of error.

Since the product p(1-p) is not known, a conservative approach is to use p = 0.5, which is the value that maximizes the

product p(1-p) for any given proportion.

This approach ensures that the sample size will be large enough to obtain a reliable estimate of the proportion, even if

the true proportion is close to 0 or 1. However, if prior knowledge or data suggests that the proportion is significantly

different from 0.5, then a more accurate estimate of p should be used in the formula.

for such more question on margin of error

https://brainly.com/question/30404882

#SPJ11

Answer:a z score corresponding to an area located entirely in the left side of the curve

Step-by-step explanation:

The number of surfer view page is 18.7 views out of 100 webpage views

In this example, we have three webpages, W₁, W₂, and W₃, and an adjacency matrix C. The matrix C represents the links between the webpages.

C =

0 1 1

1 0 0

0 0 0

To calculate the PageRank of each webpage, we start with an initial vector v that represents the surfer's probability of being on each webpage. Initially, the surfer is equally likely to be on any of the webpages, so v = [1/3, 1/3, 1/3].

To answer the question, we need to calculate the PageRank of webpage W3 after 100 iterations of the formula above.

After one iteration, we have:

v = d x Cv + (1 - d) x u

v = 0.7 * [0, 0, 1/3] + 0.3 * [1/3, 1/3, 1/3]

v = [0.1, 0.1, 0.2333]

After 100 iterations, we have:

v = d x Cv + (1 - d) x u

v = 0.7 * [0.1, 0.1, 0.2333] + 0.3 * [1/3, 1/3, 1/3]

v = [0.068, 0.045, 0.187]

Therefore, the surfer will view webpage W3 approximately 18.7% of the time after 100 iterations.

This corresponds to 18.7 views out of 100 webpage views.

To know more about webpage here.

https://brainly.com/question/21587818

#SPJ4

Answer:

distribution

combine like terms/simplifying

subtraction

division

The correct statement regarding the probability of choosing a person at random who is a junior and plays video games, and whether these events are independent, is given as follows:

P(junior and video games) = 32%; The two events are not independent.

A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The outcomes in this problem are given as follows:

Hence the probability is of:

P(junior and video games) = 48/150 = 0.32 = 32%.

The separate probabilities are given as follows:

The multiplication of these probabilities is of:

0.66 x 0.4 = 0.264.

Which is different of 0.32, hence these events are not independent.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Answer:

hmmm this is too hard for me.

Step-by-step explanation:

Step-by-step explanation:

here is your answer

hope it helps

Answer:

x = 115º  y = 65º  b = 65º  a = 115º  z =115 º

Step-by-step explanation:

A complete circle is 360º. A line is half a complete circle is 180º.

180º - 115º = 65º

Answer:

X = 2

Because x means our answer and the answer to 1 + 1 is 2!

Answer:

2

Step-by-step explanation:

1+1=2

x=2

We need AC ≅ XZ to show that triangle ABC ≅ triangle XYZ by ASA congruence of triangle.

What is ASA congruence of triangle?

The two triangles are considered to be congruent according to the ASA rule if any two angles and the side located between the angles of one triangle are equal to the corresponding two angles and side located between the angles of the second triangle.

We are given the following:

1. ∠A ≅ ∠X

2. ∠C ≅ ∠Z

Now, in order to show the triangles as congruent by ASA congruence of triangle, we need the side which is in between both the angles.

The sides in between both the angles are AC and XZ.

Hence, we need AC ≅ XZ to show that triangle ABC ≅ triangle XYZ by ASA congruence of triangle.

Learn more about ASA congruence of triangle from the given link

https://brainly.com/question/9513034

#SPJ1

Answer:

4 1/6 cups of the smoothie were left.

Step-by-step explanation:

The LCD here is (3)(4) = 12.

Thus, 5 2/3 cups equals 5 8/12 and 1 3/4 cups equals 1 6/12 cups.

Subtract 1 6/12 cups from the original 5 8/12 cups.  We get:

5 8/12

-1  6/12

-----------

 4 2/12, or 4 1/6.

4 1/6 cups of the smoothie were left.

Answer:

-2°F

Step-by-step explanation:

Let M and S represent Monday and Sunday's low temperatures respectively. The given information relates M and S with the equation:

\(M = 6 + \frac{S}{2}\)

We can rearrange the equation to solve for S.

\(S = 2(M-6)\)

We can substitute 5 for M and find that S = -2.

∴The low temperature on Sunday was -2°F.

.

Answer:

alternate interior angles

Step-by-step explanation:

We are looking at angles <3 and <6

which are on opposite sides of a transversal (line crossing through 2 parallel lines)

meaning that those 2 angles are congruent and are alternate interior angles are they are on the inside of this figure.

*Can we see the answer choices?  I'm not sure what they are, meaning I cannot fully help you*

Hope this helps a little! :)

Answer:

yes

Step-by-step explanation:

ΔABC ~ ΔEFD

Step-by-step explanation:

Agility, balance, coordination, speed, reaction time, and power are all components of Skill -related fitness.

The skill-related component of physical fitness is specifically related to skills used in sports and is often (but not always) combined with other components of fitness. For example, power is strength at speed. Agility is a combination of strength and balance. The six basic fitness components related to ability are flexibility, balance, coordination (hand-eye or foot-eye), strength, reaction time and speed. If you already meet ACSM guidelines and want to train more for specific fitness-related goals, consider his six fitness components related to ability. The health component of fitness is of universal importance. Performance-related fitness components are better suited to specific athletes. For example, everyone benefits from a daily walk, but someone who walks just to get their heart pumping doesn't need to be fast enough to run a 5-minute mile.

To learn more Skill-related components, refer:

https://brainly.com/question/1566360

#SPJ4

18 students will there be in each of the new classes.

From the question, we have

Total students in four classes = 27*4 = 108

students in new classes = = 108 students / 6 classes = 18 students per class

Multiplication:

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

To learn more about multiplication visit: https://brainly.com/question/5992872

#SPJ9

Answer:

n = -3

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

3(-2 - n) = -9 - 4n

Step 2: Solve for n

Step 3: Check

Plug in n to verify it's a solution.

Answer:

x = 5

Step-by-step explanation:

216 ^x  = 6^(x+10)               notice that 216  = 6^3

(6^3 )^x = 6^(x+10)

6^3x = 6^(x+10)       now just equate the exponents

 3x = x + 10

   2x = 10       x = 5

Answer:

330 inches

Step-by-step explanation:

A car is 200 inches long.

truck is 65% longer than the car

65% of 200 is 130 so then you add the 2 together and get 330 inches

The sampling Distribution of the sample proportion of people who answer yes to the question is normal with mean p = 0.6 and standard deviation σp = 0.049.

Suppose 60% of American adults believe Martha Stewart is guilty of obstruction of justice and fraud related to insider trading. We will take a random sample of 100 American adults and ask them the question. Then the sampling distribution of the sample proportion of people who answer yes to the question is binomial.

The binomial distribution is appropriate since there are two possible outcomes: either a person believes that Martha Stewart is guilty of obstruction of justice and fraud related to insider trading or does not believe so. The sample size is n = 100.

The probability of a person believing that Martha Stewart is guilty is p = 0.6 and the probability of a person not believing is q = 1 - p = 0.4.

The mean of the sample proportion of people who believe Martha Stewart is guilty of obstruction of justice and fraud related to insider trading is given by:μp = p = 0.6

The variance of the sample proportion of people who believe Martha Stewart is guilty of obstruction of justice and fraud related to insider trading is given by:σ²p = pq/n = (0.6)(0.4)/100 = 0.0024

The standard deviation of the sample proportion of people who believe Martha Stewart is guilty of obstruction of justice and fraud related to insider trading is given by:σp = sqrt(σ²p) = sqrt(0.0024) = 0.049

This standard deviation measures how much the sample proportion is likely to vary from one sample to another. The sampling distribution of the sample proportion of people who answer yes to the question is approximately normal by the Central Limit Theorem (CLT) if the sample size is sufficiently large, which is the case here since np and nq are both greater than or equal to 10: np = (100)(0.6) = 60 and nq = (100)(0.4) = 40.

Therefore, the sampling distribution of the sample proportion of people who answer yes to the question is normal with mean p = 0.6 and standard deviation σp = 0.049.

For more questions on Distribution.

https://brainly.com/question/29368683

#SPJ8

Answer:

The method we could use is Combinations

Option B is correct option.

Step-by-step explanation:

We are given:

A car dealer is parking five new cars at his dealership.  Which of the following methods should be used to count the number of  possible ways to pick two cars to put in the showroom?

A)  permutations

B)  combinations

C) neither permutations nor combinations

First let us see, what is permutation and combinations.

Permutation

A permutation is defined as arranging the objects or numbers in a specific order.

Combinations

Combinations are defined as selecting the objects or numbers from a group  in such a way that the order of the objects is not important.

So, in the given question, we need to pick 2 cars and order of the cars is not important, so we can say that we could use Combinations

Option B is correct option.

Answer:

D. X + 9​

Step-by-step explanation:

x² + 2x - 63

What 2 numbers multiply to -63 and add to 2

9 * -7 = -63

9+-7 = 2

(x+9)(x-7)

Goran wants to find the average height of students in the 9th grade at Northside Highschool. So he will use the height of 50 students in the 9th grade to find the average height.

Explanation: pounds - currency/weight, ounces - volume of water, centimeter - height/length, grams - mass, inches - height

Solution:

(a)

1) centimeters

2) inches

(b) Solution: Randomly pick 50 students from the 9th grade and measure their heights.

Answer:

The answer is 1 5/12 or 17/12.

Step-by-step explanation:

First we turn 5 2/3 into a Improper fraction.

5 2/3 = 17/3

Next we change 4 to 1/4 then multiply 1/4 by 17/3.

17/3 * 1/4 = 17/12

17/12 = 1 5/12

Hope this helps! :)

Answer:

17/12

Step-by-step explanation:

5\(\frac{2}{3}\) / 4 = \(\frac{17}{3}\) / \(\frac{4}{1}\) = \(\frac{17}{3}\) * \(\frac{1}{4}\) = 17/12

The value of x from the expression 3/4 x +3-2x = -1/4 +1/2x+5 can be simplified as 45/29.

The concept that will be used is simplification. To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.

3/4x +3-2x = -1/4 +1/2x+5

We can simplify by collecting the like terms,

3/4x - 1/2x - 2x = -1/4 + 5 -3

Then we can simplify further as:

-29x/20 = - 9/4

29x = (20*9)/4

29x= 45

x= 45/29

Learn more about simplification at:

https://brainly.com/question/30170850

#SPJ1

The maximum area of the rectangle will be 52812.5 square meters.

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L×W square units

A farmer with 650 meters of fencing wants to enclose a rectangular plot that borders a river.

The dimensions are x and 650 - 2x.

A = x(650 - 2x)

A = 650x - 2x²

Differentiate the function, then we have

A' = 0

650 - 4x = 0

x = 650 / 4

x = 162.5

Then the maximum area of the rectangle will be

A = 650 (162.5) - 2 (162.5)²

A = 52812.5 square meters

The maximum area of the rectangle will be 52812.5 square meters.

More about the area of the rectangle link is given below.

https://brainly.com/question/20693059

#SPJ1

The individuals in this set are C) Basketball players

This is because it's listing all the player names with their associated stats.

====================================================

The data contains B) 3 variables, 2 of which are quantitative

The variables are

The first two variables are quantitative as they deal with numeric values, and it makes sense to do things like find the average. The last variable is qualitative. It is also an ordinal variable because we can order the labels from freshman to senior.

This data on the statistics from the basketball game contains 3 variables, 2 of which is quantitative.

A quantitative variable is a variable that can be used to show the degree of magnitude. This means that quantitative variables can be represented with numbers.

The quantitative variables are free throw percentage and the number of assists.

To learn more about quantitative variables, please check: https://brainly.com/question/14583272

#SPJ2

Answer:

C. 3x + 2y = 12

explanation:

The radius of the circle is 1.3636...ft (approx).

Given, the central angle a = 120° and the arc length s = 9 ft.

The formula to find the radius of a circle is given as:  R = (180 × s)/(π × a)

Where, R = radius of the circle

a = central angle in degrees

s = arc length

π = 3.14

Substitute the given values in the formula, R = (180 × 9)/(3.14 × 120)R = 1.3636...ft (approx)

Therefore, the radius of the circle is 1.3636...ft (approx).

To know more about radius visit:

https://brainly.com/question/24375372

#SPJ11