A total of 920 adult and student tickets were sold for the school play. The number of student tickets sold was 16 less than the number of adult tickets. How many tickets of each kind were sold?

In each scenario, the choice between mean and median as a representative measure of central tendency depends on the nature of the data and the specific context..

1. Scenario: Income distribution of a population

- If the income distribution is skewed or contains extreme values (outliers), the median would be a better representation of the central tendency. This is because the median is not influenced by outliers and provides a more robust estimate of the "typical" income level. However, if the income distribution is approximately symmetric without outliers, the mean can also be an appropriate measure.

2. Scenario: Exam scores in a class

- If the exam scores are normally distributed without significant outliers, the mean would be a suitable measure as it takes into account the value of each score. However, if there are extreme scores that deviate from the majority of the data, the median may be a better representation. This is especially true if the outliers are indicative of errors or exceptional circumstances.

3. Scenario: Housing prices in a city

- In this case, the median would be a more appropriate measure to represent the central tendency of housing prices. This is because the housing market often exhibits a skewed distribution with a few high-priced properties (outliers). The median, being the middle value when the data is sorted, is not influenced by these extreme values and provides a better understanding of the typical housing price in the city.

Ultimately, the choice between mean and median depends on the specific characteristics of the data and the objective of the analysis. It is important to consider the distribution, presence of outliers, and the context in which the data is being interpreted.

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Answer:

Step-by-step explanation:

Direct variation equation:

We have y = 900, when x = 12, find the value of k:

The equation is:

Now, find the value of y, when x = 4:

Answer:

y-intercept is (0, −2)

x-intercept is (2/3, 0)

Step-by-step explanation:

y=3x-2

y=mx+c (m is the gradient and c is the y-intercept)

Therefore, the y-intercept is (0, −2)

To determine the x-intercept, we set y equal to zero and solve for x.

So, 0=3x-2. We can rearrange this... 2=3x therefore x=2/3

The x-intercept is (2/3, 0)

Hope this helps!

Answer:

\(\displaystyle 93,5\:in.^2 \approx A\)

Step-by-step explanation:

\(\displaystyle \frac{3\sqrt{3}}{2}a^2 = A \hookrightarrow \frac{3\sqrt{3}}{2}6^2 = A \\ \frac{3\sqrt{3}}{2}[36] = A; 54\sqrt{3}\:[or\:93,530743609...] \\ \\ \boxed{93,5 \approx A}\)

I am joyous to assist you at any time.

Work Shown:

| x-7.9 | < 1.5

-1.5 < x-7.9 < 1.5

-1.5+7.9 < x-7.9+7.9 < 1.5+7.9

6.4 < x < 9.4

x is between 6.4 and 9.4, excluding both endpoints

The doctor observed over the years that 95% of the babies weighs greater than 6.4 pounds and less than 9.4 pounds.

Inequality is a mathematical tool for comparing non-equal values.

According to the given question a doctor has found​ that, over the​ years, 95% of the babies he has delivered weighed |x​-7.9|<1.5 pounds we have to find the range of weights corresponding to this inequality.

|x​-7.9|<1.5

∴ x - 7.9 < 1.5

  x < 1.5 + 7.9

  x < 9.4.

OR

- ( x - 7.9 ) < 1.5

- x + 7.9 < 1.5

- x < 1.5 - 7.9

- x < - 6.4      ( think of moving the terms to other side to make it positive

x > 6.4.                                                        and inequality also changes )

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Answer:

h=3

Step-by-step explanation:

(12-6)/(h--5)=3/4 ~ basic slope equation

6/(h+5)=3/4 ~ simplification

24=3(h+5) ~ multiply both sides by (h+5) and 4 to clear the fractions

24=3h+15 ~ distribute the 3

9=3h ~ subtract 15

h=3 ~ divide by 3

Answer:

Step-by-step explanation:

slope = -3

slope = (h-6)/(8-6) = (h-6)/2 = -3

h-6 = -6

h = 0

The average velocity from t = 2s to t = 4s would be - 48 ft/s.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.

Average rate of change of velocity with time is called average velocity. Mathematically -

v{avg.} = Δx/Δt                                                         .... Eq { 1 }

Δx = x(4) - x(2)

Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}

Δx = - 96

Δt = 4 - 2 = 2

So -

v{avg.} = Δx/Δt = -96/2 = - 48 ft/s

Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.

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The most appropriate choice for Distance will be given by:

The ball takes \(3s\) to reach a height of \(45\) \(m\).

What is Distance?

The length of the path an object takes without taking into account the direction of motion of the object is known as distance.

If \(s\) is the speed of the object and \(t\) is the time, then

Distance = \(s \times t\)

Here,

\(H(t) = 30t - 5t^2\), \(t\) is the time in seconds

For finding the time taken by the ball to reach a height of \(45\)\(m\), we need to substitute \(H(t) = 45\)

Now putting \(H(t) = 45\)

\(45 = 30t - 5t^2\\5t^2 - 30t+45 = 0\\ 5(t^2 -6t + 9)=0\\t^2 -6t+9=0\\t^2-3t-3t+9=0\\t(t-3)-3(t-3)=0\\(t-3)(t-3)=0\\t-3 = 0\\t = 3s\)

So the ball takes \(3s\) to reach a height of \(45\) \(m\).

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Answer:

y=x-5

Step-by-step explanation:

y-y1=m(x-x1)

y-3=1(x-8)

y-3=x-8

y=x-8+3

y=x-5

Answer:

45x +20 +45y

Step-by-step explanation:

Let

x -----> the number of weeks worked by Bess

y ----> the number of weeks worked by Gina

we know that

The total money earned by Bess and Gina for delivering flowers, is equal to the sum of the number of weeks  worked by Bess and Gina. all multiplied by the weekly rate of $45 plus an additional total bonus of $20

so

The expression that represent this situation is

45(x+y)+20

Distribute :

45x +20+45y

Answer:

45n+20+45y

Step-by-step explanation:

45n+20+45y

Bess is 45 times the weeks she worked, plus a one time bonus.

Gina is just 45 times the weeks she worked, represented by y.

Answer:

Team Blue

Step-by-step explanation:

The reason this is, is because for each day that passes, they make 5 more light bulbs. This is in relation to the days that pass.

Answer:

Area = 2.88m^

To calculate the area of the rectangle, we can multiply its length and width. Let's perform the calculation:

Length = (2.4 ± 0.1) m

Width = (1.2 ± 0.2) m

Area = Length × Width

Using the given values, we have:

Area = (2.4 ± 0.1) m × (1.2 ± 0.2) m

To find the area and its uncertainty, we'll apply the rules of error propagation. When multiplying two quantities with uncertainties, we add the relative uncertainties:

Relative uncertainty in length = (0.1 / 2.4) = 0.0417

Relative uncertainty in width = (0.2 / 1.2) = 0.1667

Relative uncertainty in area = Relative uncertainty in length + Relative uncertainty in width

= 0.0417 + 0.1667

= 0.2084

Area = (2.4 × 1.2) m² = 2.88 m²

Answer:

( \(\frac{1}{2}\), 0 )

Step-by-step explanation:

Given the 2 equations

4x + 3y = 2 → (1)

2x - 3y = 1 → (2)

Adding (1) and (2) term by term will eliminate the y- term, that is

6x = 3 ( divide both sides by 6 )

x = \(\frac{3}{6}\) = \(\frac{1}{2}\)

Substitute x = \(\frac{1}{2}\) into either of the 2 equations and evaluate for y

Substituting into (1)

4(\(\frac{1}{2}\) ) + 3y = 2

2 + 3y = 2 ( subtract 2 from both sides )

3y = 0 ⇒ y = 0

Solution is ( \(\frac{1}{2}\), 0 )

Answer:

m = -1

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer: x= 14

A= 38

C= 71

D= 71

Answer:

This is true

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.

a. m = (y2-y1)/(x2-x1) = slope

Function 1:

m = (9-4)/(-3+1)

m = -5/2

Function 2:

m = (4-0)/(0+1)

m = 4/1

b. Function 2 has the greater rate of change.

2.

a.

g = 6-2w

g = 6.75-3w

b and c.

If you graph both of those functions they will cross each other and where they cross is the price of each item. The w value will be the waffle at $0.75 and the g value will be the grand slam at $4.50.

Answer:

I think its D

Step-by-step explanation:

   im not 100% sure so maybe check with a cluculator?

Answer:

Mr Burkett travelled 407.5 miles during his full trip.

Step-by-step explanation:

First, we must determine the distance he travelled in the first 3.5 hours. Luckily, we know his speed during that time so we can just multiply 70 miles per hour by 3.5 hours. That is 245 miles.

In the second step, we must determine the distance he travelled during the second part of his trip where he slowed down a bit. 65 miles per hour times 2.5 hours is 162.5 miles.

Finally, we can just add them! 245 + 162.5 = 407.5.

Answer:

3(19x -y + 2z) is equivalent to the equation above

The mean of the sampling distribution of the sample mean is equal to the population mean, which is μ = 80.

In statistics, the sampling distribution of the sample mean refers to the distribution of the sample means obtained from multiple random samples of the same size drawn from a population. The mean of this sampling distribution is a key concept in statistical inference.

When we draw random samples from a population, the sample means tend to cluster around the population mean. As the sample size increases, the distribution of the sample means becomes more concentrated around the population mean, and the variability decreases.

In this case, we are given that the population mean (μ) is 80 and the standard deviation (σ) is 5. When random samples of size 100 are drawn from this population, the mean of the sampling distribution of the sample mean will be equal to the population mean, which is 80. This means that on average, the sample means will be centered around the population mean of 80.

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The answer is True. The simplex method is an algorithm used to solve linear programming problems. It is an iterative process that identifies the optimal solution by moving along the vertices of the feasible region, which is defined by the constraint equations in the problem.


The simplex LP solving method is a popular algorithm used to solve linear programming problems. It uses a geometric progression approach to find the optimal solution by iteratively moving from one vertex of the feasible region to another until the optimal vertex is reached. This involves analyzing the objective function and constraints to determine the direction of movement towards the optimal solution. Therefore, it can be said that the simplex LP solving method uses geometric progression to solve problems.

In contrast, geometric progression is a sequence of numbers where each term is found by multiplying the previous term by a fixed, non-zero number called the common ratio. It is not directly related to the simplex method or linear programming.

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Answer:

1) $575

2) They'll markup the price by $3,240. After the markup, the retail price is $15,240

Step-by-step explanation:

1)

6% = 0.06

3750(0.06) = 225

225 + 350 = 575

2)

27% = 0.27

12000(0.27) = 3240

Profit = 3240

Price for retailer =  Cost Price +  Profit

Price for retailer = 12000 + 3240

Price for retailer = 15,240

Since 80 out of 100 free throws were successful, the standard deviation of the success rate would be 8, and the standard deviation of a binomial distribution is the square root of (p*q)/n, where p is the probability of success, q is the probability of failure (1-p), and n is the total number of trials.

Standard deviation is calculated as follows:

p*q/n = 0.8*0.2/100 = 0.0016 = 0.04 = 8

Since 80% of 100 equals 80 successful free throws, the standard deviation of the successes from 100 free throws would be 8. The dispersion in a set of data is measured by standard deviation. A binomial distribution's standard deviation is equal to the square root of (p*q)/n, where p is the success probability, q is the failure probability (1-p), and n is the number of trials. Since the success rate in this instance is 80%, p = 0.8, q = 0.2, and n = 100. The standard deviation is then equal to the square root of (p*q/n): (0.8*0.2/100) = (0.0016) = (0.04), which equals 8. Therefore, the standard deviation of the successes from 100 free throws for a basketball player who makes 80% of them would be 8.

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Answer:

I choose 1 and multiplied by 3 and then by 4 so that is 7. 7squared is 49

Answer:

(3x+4)(3x-4)

Step-by-step explanation:

3 * x= 3x

3x + 4

(3x+4)(3x-4)

Answer:

Nutz in my opinion

Step-by-step explanation:

Answer:

girls

Step-by-step explanation: