subtract
6 1/2 - 3 9/11

The Step 1 is defined as follows:

Isolate the absolute value by subtracting 3/4 from both sides of the equation.

Hence the solutions are given as follows:

The equation for this problem is defined as follows:

3/4 + |5 - x| = 13/4.

Isolating the absolute value, we have that:

3/4 + |5 - x| - 3/4 = 13/4 - 3/4

|5 - x| = 10/4

|5 - x| = 2.5.

Then the first solution, considering the definition |x| = -x is given as follows:

5 - x = -2.5.

x = 5 + 2.5

x = 7.5

The second solution, considering the definition |x| = x is given as follows:

5 - x = 2.5

x = 5 - 2.5

x = 2.5.

More can be learned about solution of equation at https://brainly.com/question/30374328

#SPJ1

The conversion of 2400 dollars to yen is 264,000 yen.

It's worth noting that the actual exchange rate at the time of the conversion may be different and can affect the resulting amount of yen.

To convert 2400 US dollars (USD) to Japanese yen (JPY), we need to use the current exchange rate between these two currencies. The exchange rate can fluctuate over time, so the conversion result may vary depending on when you make the conversion.

As of my knowledge cutoff of September 2021, the exchange rate was roughly 1 USD = 110 JPY. Using this exchange rate, we can calculate the conversion as follows:

2400 USD × 110 JPY/USD = 264,000 JPY

Therefore, 2400 US dollars is equivalent to approximately 264,000 Japanese yen using this exchange rate.

To learn more about dollars here:

https://brainly.com/question/29846475

#SPJ4

The radius of the circle is solved to be

The radius of the circle is using the formula for length of arc

= theta / 360 * 2πr

For angles in radian we have that

= theta * radius

Form the problem we have that

arc length is 11π/3

theta = 11π/6 radians

hence

11π/3 = 11π/6 * radius

radius = 2

Learn more about length of arc at:

https://brainly.com/question/8020286

#SPJ1

The total distance that she sprint on day 21 is option (c) 180 yards

To solve the problem, we need to use the explicit formula for an arithmetic sequence, which is:

an = a1 + (n - 1) × d

where:

an is the nth term of the sequence

a1 is the first term of the sequence

n is the number of the term we want to find

d is the common difference between consecutive terms

To find out how far Marika sprints on day 21, we can substitute n = 21 into the explicit formula:

an = 100 + (n - 1) × 4

a21 = 100 + (21 - 1) × 4

a21 = 100 + 20 × 4

a21 = 100 + 80

a21 = 180 yards

Therefore, the correction option is (c) 180 yards

Learn more about arithmetic sequence here
brainly.com/question/29616017

#SPJ4

The inverse function is:

f⁻¹(x)  = ∛(x + 3) + 2

And the graph can be seen in the image at the end.

We want to find the inverse of the function f(x) = (x - 2)³ - 3

If the inverse is f⁻¹(x), then we know that:

f⁻¹(f(x)) = x

f(f⁻¹(x)) = x

Using the second one we can write:

f(f⁻¹(x)) = (f⁻¹(x) - 2)³ - 3

And that must be equal to x, then:

(f⁻¹(x) - 2)³ - 3 = x

(f⁻¹(x) - 2)³ = x + 3

f⁻¹(x) - 2 = ∛(x + 3)

f⁻¹(x)  = ∛(x + 3) + 2

Now to graph it, we need to find some points, let's evaluate in x = -3, -2, and 5

f⁻¹(-3)  = ∛(-3 + 3) + 2 = 2

f⁻¹(-2)  = ∛(-2 + 3) + 2 = 3

f⁻¹(5)  = ∛(5 + 3) + 2 = 4

So we have the points (-3, 2), (-2, 3), (5, 4), and the graph will be the one at the end.

Learn more about inverse functions at:

https://brainly.com/question/14391067

#SPJ1

Answer: 50 meters

Perimeter = 2W x 2L OR W+W+L+L (the measurement of all sides of a shape)

Width = 9 meters

Length = 16 meters

9(2) + 16(2) = 50 meters

The linear equation y = -5x - 4 has a slope of -5 and a y-intercept of -4. Therefore, the correct graph should be a straight line with a slope of -5 and a y-intercept of -4.

Out of the four given options, the graph of a line that passes through the points (-1, 1) and (0, -4) represents the linear equation y = -5x - 4. To see why, we can use the two given points to find the slope of the line:

slope = (change in y) / (change in x) = (-4 - 1) / (0 - (-1)) = -5

The y-intercept is -4, so the equation of the line can be written in slope-intercept form as y = -5x - 4.

Therefore, the graph that represents the linear equation y = -5x - 4 is the graph of a line that passes through the points (-1, 1) and (0, -4).

Answer:

The linear equation y = -5x - 4 has a slope of -5 and a y-intercept of -4. Therefore, the correct graph should be a straight line with a slope of -5 and a y-intercept of -4.

Out of the four given options, the graph of a line that passes through the points (-1, 1) and (0, -4) represents the linear equation y = -5x - 4. To see why, we can use the two given points to find the slope of the line:

slope = (change in y) / (change in x) = (-4 - 1) / (0 - (-1)) = -5

The y-intercept is -4, so the equation of the line can be written in slope-intercept form as y = -5x - 4.

Therefore, the graph that represents the linear equation y = -5x - 4 is the graph of a line that passes through the points (-1, 1) and (0, -4).

Step-by-step explanation:

The correct interpretation of the given confidence interval is: We are 90% confident that the interval from 0.397 to 0.503 captures the true proportion (p) of all US doctors who are satisfied with the current state of US health care.

In statistics, a confidence interval is a range of values that is likely to contain an unknown population parameter, such as a population mean or proportion, based on a sample from that population. A confidence interval is constructed with a particular level of confidence, which represents the probability that the interval will contain the true population parameter. The confidence level is typically expressed as a percentage, such as 90%, 95%, or 99%.

Here,

This means that if we were to repeat the process of taking a random sample of 240 US doctors and calculating a 90% confidence interval for the proportion of doctors who are satisfied with the current state of US health care, 90% of those intervals would contain the true proportion.

It is not correct to say that 90% of all doctors are satisfied with the current state of US health care, because the confidence interval only provides information about the range of plausible values for the true proportion, not the exact value.

It is also not correct to say that a majority of the doctors in the sample are satisfied with the current state of US health care, because the confidence interval includes values both above and below 0.5, which means that we cannot conclude whether a majority or a minority of doctors are satisfied with the current state of US health care.

Therefore, the correct answer is: We are 90% confident that the interval from 0.397 to 0.503 captures the true proportion of all US doctors who are satisfied with the current state of US health care.

To know more about confidence interval,

https://brainly.com/question/28969535

#SPJ1

Answer:

Step-by-step explanation:

The class interval of a data set with 30 elements is 5.

The range of a data set is the difference between the largest and smallest values in the set. Once the range is calculated, the class interval can then be calculated by dividing the range by the number of elements in the set.

In the case of a data set with 30 elements, the class interval can be calculated by dividing the range of the data set by 30. This will tell us the size of the intervals that the data is divided into.

If the range of the data is 150, the class interval would be 150/30, which is equal to 5. Therefore, the class interval of the data set would be 5.

It is important to note that the class interval should be chosen so that it is not too small or too large. If the class interval is too small, the data may become too granular, making it difficult to interpret. If the class interval is too large, important details about the data may be lost

To know more about interval here

https://brainly.com/question/30486507

#SPJ4

The conversion of 750ml in oz is equal to 25.36 fluid ounces.

One- thousandth of a liter is a substitute to one milliliter.

Milliliters denoted by ml.

Ounces and fluid ounces are two unlike units.

1 fluid ounce is equal to the 1.04 oz weight.

US fluid ounce contain 29.6 milliliters and British fluid ounce contain 28.4 milliliters.

Ounce expressed by notation oz.

We can use the following formula to convert milliliters (ml) to fluid ounces (oz):

1 ml = 0.033814 oz

Here we want to convert the  750ml into oz

So, to convert 750 ml to oz,

We can multiply 750 by 0.033814:

750 ml × 0.033814 oz/ml

= 25.36 oz (rounded to two decimal places)

For such more questions on conversion into oz,

https://brainly.com/question/30404766

#SPJ4

The two-way frequency table of column relative frequencies for Kamden is shown below.

What is a two-way frequency table?

A two-way frequency table is a table that's used to graphically the represent frequencies or relative frequencies that are associated with two categorical variables.

How to complete the two-way frequency table?

When card had a star, the relative frequency that Kamden guessed a star is given by:

F(s) = 4/5

F(s) = 0.80.

Kamden guessed not a star is given by:

F(ns) = 2/754

F(ns) = 0.002 ≈ 0.00.

When card didn't have a star, the relative frequency that Kamden guessed a star is given by:

F(s) = 1/5

F(s) = 0.20.

Kamden guessed not a star is given by:

F(ns) = 752/754

F(ns) = 0.997 ≈ 1.00.

For the total, we have:

Total of F(s) = 0.80 + 0.20

Total of F(s) = 1.00.

Total of F(ns) = 0.00 + 1.00

Total of F(ns) = 1.00.

Read more on two-way frequency here:

brainly.com/question/20744563

#SPJ1

Complete Question:

Kamden is a mind-reading alien. He had each friend draw and look at a card, then he guessed whether the card had a star on it. The two-way frequency table below shows data on guess and true status of the cards the friends drew. Complete the following two-way table of column relative frequencies. (If necessary, round your answers to the nearest hundredth.)

Exponents laws are

[tex]a^n . a^m = a^{n + m}[/tex]

[tex]a^n / a^m[/tex] = [tex]a^{n - m}[/tex]

Exponent laws are important to use because they will help us to simplify complex expressions easier.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Exponents are written in the form [tex]a^n[/tex]

Where n can be any real numbers.

Now,

a = 2

For n = 0, 1, 2, 3, -1, -2, -3

We get,

[tex]2^0[/tex] = 1

2² =  2 x 2 = 4

2³ = 2 x 2 x 2 = 8

[tex]2^{-1}[/tex] = 1/2

[tex]2^{-2}[/tex]  = 1/(2 x 2) = 1/4

[tex]2^{-3}[/tex] = 1/(2 x 2 x 2) = 1/8

Exponents laws are:

[tex]a^n . a^m = a^{n + m}[/tex]

[tex]a^n / a^m[/tex] = [tex]a^{n - m}[/tex]

Thus,

Exponent laws are important to use because they will help us to simplify complex expressions easier.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

The weighted average ROR of the investments, based on the provided investment portfolio, would be 2.1%.

By multiplying each data point by its weight and adding the resulting products, the weighted average is calculated. The weights for all the data points are then added. Divide the weight*value products by the total weights to finish. You've successfully determined the weighted mean.

Find the overall portfolio value first:

= 2,600 + 3,700 + 575 + 1,225

= $8,100

The investments' weighted average Rate of Return (ROR) is:

= (2,600 / 8,100 x 1.7%) + (3,700 / 8,100 x 3.2%) + (575 / 8,100 x 12.9%) + (1,225 / 8,100 x -5.6%)

= 2.076

= 2.1%.

To know more about the weighted average visit;

https://brainly.com/question/28696491

#SPJ1

By using Taylor series, the limit does not exist, since the third term does not converge as x approaches 0.

To evaluate the limit using series, we can use the Taylor series expansion of each term in the limit as x approaches 0. A Taylor series is an infinite sum of terms that are expressed in terms of the derivatives of a function at a single point.

Starting with the first term:

lim x→0 (1/3) * x^3 = 0

Next, for the second term, we have:

lim x→0 ((x^3 - 1)/(2x^2)) = lim x→0 (x^3/2x^2) = lim x→0 (x/2) = 0

For the third term, we have:

lim x→0 (x - ln(1 + x))/x^4

= lim x→0 [(x - (x - x^2/2 + x^3/3 - ...))/x^4] (using the Taylor series expansion of ln(1+x))

= lim x→0 [x^2/2 - x^3/3 + ...]/x^4

= lim x→0 [1/2x^2 - 1/3x^3 + ...]

= ∞

Therefore, the limit does not exist, since the third term does not converge as x approaches 0.

To know more about Taylor series:

https://brainly.com/question/29733106

#SPJ4

The solution to the equation 25 - x = 15 is x = 10.

This question is incomplete, the complete question is;

What is the solution to this equation?

25 - x = 15

Given the equation in the question;

25 - x = 15

To solve for x, collect like terms and solve for x.

25 - x = 15

Subtract 25 from both sides

25 - 25 - x = 15 - 25

-x = 15 - 25

-x = -10

Divide both sides by -1

-x / -1 = -10 / -1

x = -10 / -1

x = 10

Therefore, the value of x is 10.

Option C) 10 is the correct answer.

Learn to solve more equation here: https://brainly.com/question/9236233

#SPJ1

The sequence of transformations proves these two figures' similarity is (b) Reflect ABCD across the x-axis, then dilate it by a scale factor of 2 centered at the origin.

From the question, we have the following parameters that can be used in our computation:

The figure

From the figure, we can see that

A'B'C'D' is twice ABCD in side lengths

This means that

(x, y) = (2x, 2y)

Also, ABCD is reflected across the x-axis to get A'B'C'D'

So, we have

(x, y) = (2x, -2y)

Hence, the transformation is (b)

Read more about transformation at

brainly.com/question/27224272

#SPJ1

16 is the required coordinate of point C

A line is defined as the shortest distance between 2 points

Given the following parameters from the number line

Point M = 2

Point J = 18

The coordinate of point C that is 7/8 of the distance from M to J

C = 7/8 of MJ

C = 7/8 * (18 - 2)

C = 7/8 * 16

C = 14

Hence the point C that is 7/8 of the distance from M to J is 16

Learn more on number line here: https://brainly.com/question/24644930

#SPJ1

The height of a randomly selected giraffe, the number of points scored during a basketball game, the gender of college students, the amount of rain in City Upper B during April, and the number of fish caught during a fishing tournament are all examples of discrete or continuous random variables, while the number of bald eagles in a country is not a random variable.

a. Continuous random variable

b. Discrete random variable

c. Discrete random variable

d. Continuous random variable

e. Discrete random variable

f. Not a random variable

a. The height of a randomly selected giraffe is a continuous random variable because it can take on any value within a certain range.

b. The number of points scored during a basketball game is a discrete random variable because it is a countable number.

c. The gender of college students is a discrete random variable because it is a categorical variable with two possible values.

d. The amount of rain in City Upper B during April is a continuous random variable because it can take on any value within a certain range.

e. The number of amount fish caught during a fishing tournament is a discrete random variable because it is a countable number.

f. The number of bald eagles in a country is not a random variable because it is a fixed number and not a random sample.

The height of a randomly selected giraffe, the number of points scored during a basketball game, the gender of college students, the amount of rain in City Upper B during April, and the number of fish caught during a fishing tournament are all examples of discrete or continuous random variables, while the number of bald eagles in a country is not a random variable.

Learn more about amount here

https://brainly.com/question/8082054

#SPJ4

Answer:

First one is the true statement

<TUV ~<CED

the probability that a continuous random variable equals any of its values is Zero.

This problem, we have been asked what is the probability of a continuous random variable being equal to any of its values, so the answer will be 0. The probability that a continuous random variable equals any of its values will be 0 point now.

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

To know more about Probability, visit: brainly.com/question/30034780

#SPJ4

Complete Question

The probability that a continuous random variable equals any of its value is?

The mural has a height equal to 10 feet.

In this problem we find the case of a square mural, whose area is already known. The following conditions associated with the statement of the problem are described below:

A = 100 ft²

A = l²

Where:

Then, the height of the mural is equal to:

100 ft² = l²

l = 10 ft

The height of the mural is 10 feet.

To learn more on areas of squares: https://brainly.com/question/27776258

#SPJ1

The equivalent value of the expression → (1 + 1) is 2.

An algebraic expression is a combination of terms both constants and variables. For example -

2x + 3y + z

3x + y

Given is to find the equivalent value of the expression as  -

(1 + 1).

We can write the equivalent value of (1 + 1) as -

{x} = 1 + 1 = 2

{x} = 2

Therefore, the equivalent value of the expression → (1 + 1) is 2.

To solve more questions on functions & equations, visit the link below

brainly.com/question/29014197

#SPJ1

The answer is 2 or window! Thank you for this <3

—————

The points are amazing lol! -Doodle

—————

The possible outcomes for flipping a two-sided tile once are:

Toss 1 Toss 2 Toss 3

Black Black Black

Black Black White

Black White White

Black White Black

White White White

White White Black

White Black Black

White Black White

If we flip the tile three times, the sample space will consist of all possible outcomes of the three flips.

Each flip is independent, so the total number of possible outcomes is the product of the number of outcomes for each flip, which is 2.

Therefore, the sample space for flipping the tile three times is:

BBB,

BBW,

BWB,

BWW,

WBB,

WBW,

WWB,

WWW

Where

B = the black side facing up, and

W = the white side facing up.

Learn more about Possible outcome at:

https://brainly.com/question/30241901

#SPJ1

The linear inequality 32,500<x<36,000 best represents age of the tusk, where x is the age of ivory tusk.

What exactly are linear inequalities?

Inequality is a mathematical statement in which neither side is equal. In Math, an inequality occurs when a connection produces a non-equal comparison between two expressions or two integers. The equal sign "=" in the phrase is substituted by any of the inequality symbols, such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), or not equal to symbol (≠). In mathematics, there are three types of inequalities: polynomial inequalities, rational inequalities, and absolute value inequalities.

The symbols '<' and '>' represent severe inequalities, whereas " and " represent slack inequalities.

Now,

Given that

An archaeologist estimated the age of an ivory tusk to be at least 32,500 years old and less than 36,000 years old.

Let x be the age of ivory tusk

then x>32,500 years

and x<36,000 years

hence,

          The linear inequality 32,500<x<36,000 best represents age of the tusk.

To know more about linear inequalities visit the link

https://brainly.com/question/11897796?referrer=searchResults

#SPJ1

The regression line can be used to determine the strength of a linear association between two variables, as well as to make predictions about the values of y for a given x-value.

The regression line is a type of mathematical model used to describe the relationship between two variables, typically denoted as x and y. The regression line is a straight line that best fits the data points of the two variables. This line can be used to make predictions about the values of y for a given x-value.

The equation of the regression line is y = mx + b, where m is the slope of the line, and b is the y-intercept. The slope of the line, m, represents the strength of the linear relationship between the two variables. It is calculated by dividing the covariance of the two variables by the variance of the independent variable (x). The y-intercept, b, is the point where the regression line crosses the y-axis. It is calculated by taking the mean of y and subtracting the slope of the line multiplied by the mean of x.

The regression line can also be used to determine the strength of the linear association between two variables. This is determined by calculating the correlation coefficient, which is a measure of how closely two variables are associated. The correlation coefficient is calculated by taking the covariance of the two variables, divided by the product of the standard deviation of each variable. A correlation coefficient of close to 1 indicates a strong positive linear association, while a correlation coefficient of close to -1 indicates a strong negative linear association.

In conclusion, the regression line can be used to determine the strength of a linear association between two variables, as well as to make predictions about the values of y for a given x-value.

Learn more about regression line here:

https://brainly.com/question/17731558

#SPJ4

The probability of selecting three balls of the same color without replacement is 0.0545, and with replacement is 0.0393. The probability of selecting three balls of different colors without replacement is 0.4591, and with replacement is 0.4968.

(a) To select a set of 3 balls that are all of the same color, we need to choose one of the three colors (red, blue, or green), and then select 3 balls of that color from the urn. There are three ways to choose the color of the balls. For each color, the number of ways to select 3 balls of that color is given by the number of combinations of 3 balls from the set of balls of that color. Thus, the total number of ways to select a set of 3 balls that are all of the same color is:

Number of ways to select 3 red balls + number of ways to select 3 blue balls + number of ways to select 3 green balls

= (5 choose 3) + (6 choose 3) + (8 choose 3)

= 10 + 20 + 56

= 86

The total number of ways to select any set of 3 balls from the urn is given by the number of combinations of 3 balls from the set of 19 balls in the urn:

Total number of ways to select any set of 3 balls = (19 choose 3) = 969

Therefore, the probability that each of the balls will be of the same color is:

P(each ball of the same color) = (number of ways to select 3 balls of the same color) / (total number of ways to select any set of 3 balls)

= 86 / 969

= 0.089

So the probability that each of the balls will be of the same color is approximately 0.089 or 8.9%.

(b) To select a set of 3 balls that are of different colors, we need to choose one ball of each color from the urn. The number of ways to select one ball of each color is given by the product of the number of balls of each color:

Number of ways to select 1 ball of each color = 5 x 6 x 8 = 240

The total number of ways to select any set of 3 balls from the urn is still 969.

Therefore, the probability that each of the balls will be of different colors is:

P(each ball of different color) = (number of ways to select 1 ball of each color) / (total number of ways to select any set of 3 balls)

= 240 / 969

= 0.248

So the probability that each of the balls will be of different colors is approximately 0.248 or 24.8%.

When the balls are selected with replacement, the probabilities remain the same because the probabilities of selecting each ball are unchanged on each draw.

Learn more about probability:

https://brainly.com/question/30034780

#SPj4

I'm positive the answer is 1, 7, 13, and 91

The sample variance formula is: (sum of squared differences between each data point and the sample mean) divided by (sample size minus one).

The sample variance formula is a statistical calculation used to measure the variability of a set of data values in a sample. Variance is a measure of how spread out a set of data is, and it provides a measure of the average deviation of the individual data points from the sample mean.

The sample variance formula is calculated by taking the sum of the squared differences between each data point and the sample mean, and dividing that value by the sample size minus one. The resulting value provides a measure of how much the data points vary from the mean of the sample, and is an important tool for assessing the reliability and validity of statistical results.

Learn more about Sample Variance:

https://brainly.com/question/28542390

#SPJ4

There are 20 many ways can three items be selected from a group of six items.

Here we consider simple random sampling which can be further of two types that are:

With replacement,  when the samples used in previous round of choosing are put back in the population for the upcoming rounds.

When the data are sampled with replacement the number of samples are [tex]N^{n}[/tex], where N is population and n is sample number.

Without replacement, when the samples used in previous round are not returned back in the population for the upcoming rounds of sampling.

When the data are sampled without replacement  there are n P r  or n C r number of items as sample in given set.

The number of ways to select three items from a group of six items can be found using the combination formula:

C(6, 3) = 6! / (3! * (6 - 3)!) = 20

So there are 20 different combinations of three items that can be selected from the group of six items. Here they are listed as three-letter combinations:

ABC, ABD, ABE, ABF, ACD, ACE, ACF, ADE, ADF, AEF, BCD, BCE, BCF, BDE, BDF, BEF, CDE, CDF, CEF, DEF

To know more about sampling here

https://brainly.com/question/13030074

#SPJ4