You may need to use the appropriate appendix table or technology to answer this question.
A group conducted a survey of 13,000 brides and grooms married in the United States and found that the average cost of a wedding is $21,858. Assume that the cost of a wedding is normally distributed with a mean of $21,858 and a standard deviation of $5,800.
(a)
What is the probability that a wedding costs less than $20,000? (Round your answer to four decimal places.)
(b)
What is the probability that a wedding costs between $20,000 and $31,000? (Round your answer to four decimal places.)
(c)
What is the minimum cost (in dollars) for a wedding to be included among the most expensive 5% of weddings? (Round your answer to the nearest dollar.)
$

The perimeter and area of the given polygon are:

Perimeter = 22.325 units

Area = 25 square units

Using Pythagoras theorem, we can find the length of the sides of the polygon as:

a = √(1² + 3²)

a = √10

b = √(3² + 3²)

b = 2√9

c = √(3² + 3²)

c = 2√9

d = √(1² + 3²)

d = √10

e = 4

Thus:

Perimeter = 2√10 + 4√9 + 4

Perimeter = 22.325 units

Area = 2(¹/₂ * 1 * 3) + 2(¹/₂ * 3 * 3) + (4 * 3)

= 25 square units

Read more about area and perimeter at: https://brainly.com/question/19819849

#SPJ1

The average rate of change of f(x) = x with respect to x over the interval a = 1 is 1.

To determine the average rate of change of f(x) = x with respect to x over the interval a, we'll use the formula:

Average Rate of Change = (f(b) - f(a)) / (b - a)

In this case, the interval a is 1, so let's choose an interval b. We can use any value for b, but let's choose b = 2 for simplicity.

Step 1: Find f(a) and f(b)
f(x) = x, so:
f(1) = 1
f(2) = 2

Step 2: Plug the values into the formula
Average Rate of Change = (f(2) - f(1)) / (2 - 1)
Average Rate of Change = (2 - 1) / (2 - 1)

Step 3: Calculate the result
Average Rate of Change = (1) / (1)

The average rate of change of f(x) = x with respect to x over the interval a = 1 is 1.

To learn more about Rate of change

https://brainly.com/question/17214872

#SPJ11

Answer: Where is the triangle?

Step-by-step explanation: Brainliest pls:)

The surface area of the figure is 132 square units.

Option D is the correct answer.

We have,

The figure has two types of shapes.

- 3 rectangles

- 2 triangles

Now,

Area of the 3 rectangles.

= 5 x 10 + 4 x 10 + 3 x 10

= 50 + 40 + 30

= 120 square units

Area of 2 triangles.

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

= 1/2 x 12 + 1/2 x 12

= 6 + 6

= 12 square units

Now,

Total surface area.

= 120 + 12

= 132 square units.

Thus,

The surface area of the figure is 132 square units.

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ1

To calculate the moment of inertia of an object, you need to know its mass and the distance it is from the axis of rotation. In this case, the object has a mass of 12 kg and is distributed 4 meters from the axis of rotation. The formula to calculate the moment of inertia is I = mr^2, where the moment of inertia, m is the mass, and r is the distance from the axis of rotation.

Using this formula, we can calculate the moment of inertia of the object:

I = 12 kg x (4 m)^2

I = 192 kgm^2

Therefore, the moment of inertia of the object is 192 kgm^2.
To calculate the moment of inertia for an object, you can use the following formula:

Moment of Inertia (I) = Mass (m) × Distance² (r²)

Given the object's mass is 12 kg and the mass is distributed 4 meters from the axis of rotation, we can plug these values into the formula:

I = 12 kg × (4 m)²

Now, we'll square the distance:

I = 12 kg × 16 m²

Finally, multiply the mass and the squared distance:

I = 192 kg·m²

So, the moment of inertia of the object is 192 kg·m².

Learn more about the moment of inertia here:- brainly.com/question/29415485.

#SPJ11

Answer:

[tex]3(n + 5) = (n + 5)3[/tex]

So p = 5.

The rise of the line that has a slope of 5/8 and a run of 16 is calculated as: 10.

The slope of a line is defined as the ratio of the rise of the line to the run of the line. This can also be defined as change in y over the change in x of a line.

Given the following:

Slope of a line (m) = 5/8

Run of the triangle = 16

Rise = x

Using the slope formula, we have:

Slope of a line (m) = rise/run

5/8 = x/16

Solve for x:

x = (5 * 16) / 8

x = 80/8

x = 10

Therefore, we can conclude that the rise is 10.

Learn more about the slope of a line on:

https://brainly.com/question/29044610

#SPJ1

Answer:

Step-by-step explanation:

To determine if there is a positive linear association between the hours worked and the daily wages of waiters in a restaurant, you can create a scatter plot of the data and look for a pattern.

Once you have the data, you can use a statistical software or a spreadsheet program to create a scatter plot. You can then visually inspect the scatter plot to see if there is a clear pattern of a positive linear association between the two variables.

If there is a positive linear association, the data points on the scatter plot will form a roughly straight line that slopes upwards from left to right. The closer the data points are to the line, the stronger the association.

So, the data table that indicates a positive linear association between the hours worked and the daily wages of waiters in a restaurant is the one where the scatter plot shows a clear upward trend.

The radius of the region is 11.55 mile.

We have,

Population = 175,000

So, population density

= 175,000 / 1318

= 132.77

and, the radius using from the population density

Radius = √area / (22/7)

= √1318 x 7/22

= 11.55 mile

learn more about area of a circle here:

brainly.com/question/14351152

#SPJ1

Phil's life expectancy is 56.3 years.

Based on the provided data, the life expectancy for Phil, a 21-year-old male, is 56.3 years. Therefore, the correct answer is 56.3 years.

Learn more about life expectancy: https://brainly.com/question/30036353

#SPJ11

Based on the information provided, only one of the independent variables can be an indicator (dummy) variable, which is:

- The player was traded in the last 5 years

Based on the information provided, only one of the independent variables can be an indicator (dummy) variable, which is:

- The player was traded in the last 5 years

This variable can take on a value of 0 or 1, where 0 represents that the player was not traded in the last 5 years, and 1 represents that the player was traded in the last 5 years. The other independent variables are continuous variables (e.g., player's age, player's height, career free throw percentage, average points per game) or categorical variables that do not need to be represented as dummy variables (e.g., the team had greater than 45 wins in the previous season).

Visit to know more about Variables:-

brainly.com/question/28248724

#SPJ11

Answer:

[tex]\textsf{y=\frac{1}{3}x+3}[/tex][tex]y = \frac{1}{3} x+3[/tex]

Step-by-step explanation

[tex]\textsf{*slope intercept form: y = mx +b}[/tex]

---------------------------------------------

[tex]\textsf{x - 3y = -9}[/tex]

Subtract x from both sides:

[tex]\textsf{-3y = -x - 9}[/tex]

Divide both sides by -3:

-3y/-3 = -x/-3 - 9/-3

[tex]\textsf{y = 1/3x +3}[/tex]

[tex]-jurii[/tex]

After the battery is fully charged, Car B can go further than Car A.  Car B, as compared to Car A, had lower variability measurements. After the battery is completely charged, Car B can go further than Car A since Car A has a lower mean and median. Option D is Correct.

The median splits the data in half. A lower median indicates that Car A has less mileage than Car B.

Two measurements exist.

The measure of centre reveals how closely or widely the data are dispersed around the centre.

The measurements of centre are mean, median, and mode.

Car A travelled less since it had a lower mean and median.

We can find out how data changes with a single value using the measure of variability. The data is denser at the mean when the MAD is less. The MAD in Car B is lower. Data that is closer to the centre of the data set has a smaller IQR.

IQR is lower in Car B.

Consequently, automobile B travelled steadily since its IQR and MAD were lower. Option D is Correct.

Learn more about variability visit: brainly.com/question/12872866

#SPJ4

Correct Question:

Annabel is comparing the distances that two electric cars can travel after the battery is fully charged. Car A (miles) Car B (miles) Mean 145 200 Median 142 196 IQR 8 4 MAD 6 2 Part A Use the measures of center to make an inference about the data. Use the drop-down menus to complete your answer. Car A can travel further than Car B after the battery is fully charged. Part B Based on the data, which car performs most consistently? Explain. A. Car A because the measures of center are smaller for Car A than for Car B. B. Car B because the measures of center are smaller for Car B than for Car A. C. Car A because the measures of variability are smaller for Car A than for Car B. D. Car B because the measures of variability are smaller for Car B than for Car A.

To prove that 1/xy = 1/x * 1/y, we can start by multiplying both sides of the equation by xy.

Multiplying both sides of the equation by xy gives us:

1 = xy * 1/x * 1/y

Next, we can simplify the right-hand side by canceling out the x and y terms that appear in both the numerator and denominator:

1 = y/x + x/y

To further simplify this expression, we can multiply both sides by xy:

xy = y^2 + x^2

This equation can be rearranged to get:

x^2 + y^2 = xy

Finally, we can use the formula for the sum of squares:

x^2 + y^2 = (x+y)^2 - 2xy

Substituting this into the previous equation, we get:

(x+y)^2 - 2xy = xy

Simplifying, we get:

(x+y)^2 = 3xy

Taking the square root of both sides, we get:

x+y = sqrt(3xy)

Dividing both sides by xy, we get:

1/xy = 1/x * 1/y

Therefore, we have proven that 1/xy = 1/x * 1/y.

To learn more about equations visit : https://brainly.com/question/2972832

#SPJ11

Answer:

Please mark me the brainliest

Bank Balance  | Amount Owed

---------------------|-------------

-$150               | $150

-$325              | $325

-$275              | $275

To find the amount owed, we simply take the absolute value of each bank balance. The player who owes the greatest amount is the one with the largest absolute value bank balance. In this case, that would be Malcolm, who owes $325.

Step-by-step explanation:

The standard deviation of rainy days in March is approximately 2.55 days.

To find the standard deviation of rainy days in March, we first need to determine the expected value or the mean number of rainy days in March.

The expected value of a binomial distribution can be found using the formula: E(X) = np, where X is the random variable representing the number of rainy days in March, n is the number of trials (days in March), and p is the probability of success (rain) on a given day.

In this case, n = 31 (number of days in March) and p = 0.3 (probability of rain on any given day in March). Therefore, the expected value of rainy days in March is

E(X) = np = 31 × 0.3 = 9.3

Next, we need to find the variance of the binomial distribution, which is given by the formula: Var(X) = np(1 - p).

Var(X) = 31 × 0.3 × (1 - 0.3) = 6.51

Finally, the standard deviation of rainy days in March is the square root of the variance:

SD(X) = √Var(X) = √6.51 ≈ 2.55

Therefore, the standard deviation of rainy days in March is approximately 2.55 days.

To learn more about binomial visit:

https://brainly.com/question/13870395

#SPJ11

Answer:

A P-value < 0.01

Step-by-step explanation:

Answer:

[tex]0.1212...=\dfrac{4}{33}[/tex]

Step-by-step explanation:

A repeating decimal is a decimal number with a digit (or group of digits) that repeats forever.

There are three ways to show a repeating decimal:

0.1212... is a repeating decimal as there are two duplicates of the repeating block of digits "12" followed by an ellipsis.

To express a repeating decimal as a rational number, begin by assigning the decimal to a variable:

[tex]x=0.1212...=0.\overline{12}[/tex]

Multiply both sides by 100:

[tex]\implies x \cdot 100=0.\overline{12}\cdot 100[/tex]

[tex]\implies 100x=12.\overline{12}[/tex]

Subtract the first equation from the second to eliminate the part after the decimal:

[tex]\begin{array}{crcr}& 100x & = & 12.\overline{12}\\- & x & = & 0.\overline{12}\\\cline{2-4} & 99x & = & 12\phantom{.12}\\\end{array}[/tex]

Divide both sides of the equation by 99:

[tex]\implies \dfrac{99x}{99}=\dfrac{12}{99}[/tex]

[tex]\implies x=\dfrac{12}{99}[/tex]

Reduce the fraction to is simplest form by dividing the numerator and denominator by 3:

[tex]\implies x=\dfrac{12 \div 3}{99 \div 3}=\dfrac{4}{33}[/tex]

[tex]\textsf{Therefore, $0.1212...$ expressed in the form of a rational number is\;$\dfrac{4}{33}$}.[/tex]

Answer: -15

Step-by-step explanation:

x+y=10

y=-x+10

2x+3(-x+10)=45

2x-3x+30=45

-x=15

x=-15

The coefficient of x³ term in the power series expansion of f(x) = [tex]e^x[/tex] sin(x) is 1/15.

To find the coefficient of x³ term in the power series expansion of f(x) = [tex]e^x[/tex] sin(x), we need to write the Taylor series for [tex]e^x[/tex] and sin(x) and then multiply them to get the Taylor series for f(x). The Taylor series for e^x is:

[tex]e^x[/tex] = 1 + x + (x²/2!) + (x³/3!) + ...

The Taylor series for sin(x) is:

sin(x) = x - (x³/3!) + (x⁵/5!) - ...

Multiplying these two series, we get:

f(x) = [tex]e^x[/tex] sin(x) = (1 + x + (x²/2!) + (x³/3!) + ...) × (x - (x³/3!) + (x⁵/5!) - ...)

Expanding this out and collecting the terms with x³, we get:

f(x) = x - (x³/3!) + (7x³/5!) + ...

Therefore, the coefficient of x³ term in the power series expansion of f(x) = [tex]e^x[/tex] sin(x) is -1/6 + 7/120 = 1/15.

Learn more about the Power series expansion at

https://brainly.com/question/30262936

#SPJ4

The mode, mean, and median are all valid measures of central tendency for interval and ratio level data. For nominal level data, only the mode is appropriate, while for ordinal level data, both the mode and median can be used, but the mean is not recommended as it assumes equal intervals between categories.

The correct statement regarding the use of the mode, mean, and median for different levels of measurement is:

The mode can be used for nominal and ordinal levels of measurement, the median is used for ordinal, interval, and ratio levels, while the mean is used for interval and ratio levels of measurement.

Let's break it down:

1. Mode: applicable to nominal and ordinal levels as it represents the most frequently occurring value in the data.

2. Median: applicable to ordinal, interval, and ratio levels as it represents the middle value when data is arranged in order.

3. Mean: applicable to interval and ratio levels as it represents the average value by summing all data points and dividing by the number of data points.

Learn more about median here,

https://brainly.com/question/10322721

#SPJ11

Answer:

1/870 ≈ 0.0011494 or about 0.115% (rounded to 6 decimal places)

Step-by-step explanation:

The first digit can be any of the numbers between 10 and 40, except for those that end in 6 (since the last digit of all three numbers is 6). This leaves us with 30 numbers to choose from for the first digit. Similarly, the second digit can be any of the numbers between 10 and 40, except for those that end in 6 and the one chosen for the first digit. This leaves us with 29 numbers to choose from for the second digit.

For the third digit, we have only one option since we know it ends in 6.

So the total number of possible combinations is:

30 * 29 * 1 = 870

Out of these, only one combination is the correct one. Therefore, the probability of guessing the combination correctly on the first try is:

1/870 ≈ 0.0011494 or about 0.115% (rounded to 6 decimal places)

The density of the ball in the air is given as follows:

d = 4 x 10^5 ounces/ft³.

The density is calculated as the division of the mass by the volume of an object, as follows:

d = m/v.

The ball in this problem is spherical with a diameter of 0.05 feet = radius of 0.025 feet, hence the volume is given as follows:

V = 4 x 3.1416 x 0.025³/3

V = 6.545 x 10^-5 ft³.

The ball in the air is inflated, hence the mass is given as follows:

m = 22.93 ounces.

Thus the density of the ball is given as follows:

d = 22.93/(6.545 x 10^-5)

d = 4 x 10^5 ounces/ft³.

More can be learned about density at https://brainly.com/question/1354972

#SPJ1

It is possible for one set of data to have a scatterplot that appears linear while the other does not, even if both groups started with the same number of dice and followed the same removal procedure.

This is because the way the dice were removed could have been different between the two groups, leading to different patterns of results. Additionally, other factors such as the order in which the dice were removed or the number of trials conducted could also affect the resulting scatterplot.

Ultimately, the scatterplot is a visual representation of the relationship between the variables being measured, and it can take on many different forms depending on the specific data and conditions being analyzed.

To learn  more about scatterplot

https://brainly.com/question/1348021

#SPJ11

The probability of choosing a black chip and then another black chip is,

⇒ 1/3

Since, There are 4 + 6 = 10 chips in the bag.

And, 6 of them are black .

Hence, The probability that the first chip chosen will be black is,

⇒ 6/10

⇒ 3/5.

After that, there is one black chip less in the bag, so there are 9 chips in the bag, 5 of them are black.

Hence, The probability that the second chip chosen will be black is,

⇒ 5/9

Now, Multiply the probabilities to find the probability that the first chip will be black and the second chip will be black:

⇒ 3/5 × 5/9

⇒ 1/3

Thus, The probability of choosing a black chip and then another black chip is,

⇒ 1/3

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ1

No, the number of sit-ups Anna does, is not proportional to the time she spends doing them.

When Anna starts doing sit-ups for her first triathlon, she does a sit-up every 22 seconds. But we know that as she gets tired, each sit-up takes longer and longer to do. The situps may take 40 seconds or 75 seconds as she gets more tired.

As we can see that there is no constant rate at which she gets tired and take more seconds to do sit-ups. In order to be proportional, the increasing or decreasing rate should be constant. We can see that the time she spends doing them is not increasing or decreasing at a constant rate along with the number of sit-ups she is doing.

Therefore, the number of sit-ups Anna does is not proportional to the time she spends doing them.

To learn more about proportionality;

https://brainly.com/question/1266676

#SPJ4

The complete question is "Anna does sit-ups to get ready for her first triathlon. When she starts, she does a sit-up every 22 seconds. But, as she gets tired, each sit-up takes longer and longer to do. Is the number of sit-ups Anna does proportional to the time she spends doing them? "

The equation which can be used to determine the total amount, t, Frankie will have spent after m months on his cell phone plan is t = 30 + 45m.

Given that,

Frankie has a new cell phone plan.

He will pay a one-time activation fee of 30$, and 45$ each month.

One time activation fee = $30

Amount each month = $45

Amount for m months = 45m

Total amount for the plan = 30 + 45m

If t represents the total amount for the cell phone activation plan, the required equation can be written as,

t = 30 + 45m

Hence the required equation for the cell phone plan is t = 30 + 45m.

Learn more about Equations here :

https://brainly.com/question/29280354

#SPJ1

The coordinate of final point of A after transformation is,

A'' = (0, - 7)

We have to given that;

Coordinate of A = (0, 7)

We know that;

Rule for the across the x - axis is,

(x, y) = (x , - y)

Hence, We get;

Point after transformation is,

A' = (0, - 7)

And, Rule for the across the y - axis is,

(x, y) = (-x ,  y)

Hence, Point after transformation is,

A'' = (0, - 7)

Thus, The coordinate of final point of A after transformation is,

A'' = (0, - 7)

Learn more about the coordinate visit:

https://brainly.com/question/24394007

#SPJ1