not too sure about this, can anyone help?

The ratio of adults indicates that there are 7 adults foe every 2 children,

given the number of children, the number of people can be found.

Reasons:

The given parameters are;

Ratio of adults to children = 7 : 2

The proportion of children that had sit in the stalls = 4/5

Number of children that had sit in the Circle = 124 children

Number of seats at the theater = 3,875

Required:

The percentage of the sits that had people sitting on them.

Solution:

Let x represent the number of children, we have;

Number of children in the stalls = \(\displaystyle \frac{4}{5} \cdot x\)

\(\displaystyle Number \ of \ children \ in \ the \ circle = \mathbf{x - \frac{4}{5} \cdot x} = 124\)

Therefore;

\(\displaystyle x=\frac{124}{1 - \frac{4}{5} \times 1} = \mathbf{620}\)

The number of children, x = 620 children

Therefore;

\(\displaystyle \frac{Number \ of \ adult}{620} = \frac{7}{2}\)

2 × Number of adults = 7 × 620

Number of adults = 7 × 620 ÷ 2 = 2,170

The total number of persons, n = Number of children + Number of adults

Therefore;

n = 2,170 + 620 = 2,790

\(\displaystyle Percentage \ of \ sits \ with \ people = \mathbf{ \frac{2,790}{3,875} \times 100} = \underline{72 \%}\)

Learn more about ratios and percentages here:

https://brainly.com/question/18250434

https://brainly.com/question/2514875

The ideal way to organize electronically the raw data for a study is to use a database management system (DBMS). A DBMS allows the researcher to store, manipulate, and retrieve data in a structured and organized manner. This enables the researcher to easily analyze the data and draw meaningful conclusions from it.

Additionally, a DBMS ensures data accuracy, consistency, and security. Overall, using a DBMS is the most efficient and effective way to manage raw data for a study.
This allows for efficient organization, storage, and retrieval of the data, making it easier to analyze and interpret the results. Additionally, employing proper data cleaning techniques and establishing a clear metadata structure can enhance the overall organization and accessibility of the study's raw data.

To learn more about DBMS : brainly.com/question/28813705

#SPJ11

Answer:

181 mi^2

Step-by-step explanation:

Dimensions of large rectangle, on the left, are 6 mi by 8 m; area is 48 m^2;

Dimensions of small rectangle, in the middle of the diagram, are 4 mi by 5 mi, or 20 mi^2; area is 20 mi^2.

Dimensions of circle:  r = 12 mi; area of quarter circle is (1/4)(3.14)(12 mi)^2, or 113 mi^2.

Total area is 113 mi^2 + 20 mi^2 + 48 mi^2, or 181 mi^2

Answer:

Step-by-step explanation:

So first off. lets take chunks of this shape. We have a 6x8 rectangle, a 4x5 rectangle, and a 1/4 circle with a radius of 12.

The area of a rectnagle is just length x width.

So lets plug in our values for our two ractnagles, and see what we get:

6*8

=

48

So our first rectangle has a area of 48

Next we have:

4*5

=

20

So our second rectangle has an area of 20.

Add these otgether you get 68.

Finally we have our 1/4 circle. To solve this, find the area of the full circle and divide by 4.

We already know the radius, which is 12, and the formula for area of a circle is:

a=πr^2

Plug in 12:

a=π12^2

=

a=π144

dividing by four for the 1/4circle:

a=π36

So this means your answer is either:

68 +36π

Or:

181.097(solving pi*36)

Either of these work, if the problem allows pi, then use the first one, If not, use the bottom one.

Hope this helps!

Answer: one-sixth

Step-by-step explanation:

Noah drew the circle which is divided into six equal parts

This shows that cherries must be divided into six persons

each sector of the circle is  \(\frac{1}{6}^{th}\) of the whole circle

From this, we can conclude that each person receives  \(\frac{1}{6}\)  pound of cherries.

The numbers in increasing order

(b) x² , x , √x

Since, when x is a real number,

Such that 0 < x < 1

We know that,

An inequality is a mathematical statement that uses the inequality symbol to indicate the relationship between two expressions. Both sides of an inequality sign have different expressions.

Then with increasing the exponent of x the value of x decreases,

That is, x with highest exponent is lowest,

Since,

2 > 1 > 1/2

Thus, by the above statement,

x² < x < \(x^{1/2}\)

Hence, the numbers in increasing order is,

x² , x , √x

Where, 0 < x < 1

To learn more about inequality visit:

https://brainly.com/question/30231190

#SPJ1

The complete question is :

If 0 < x < 1 , which of the following lists the numbers in increasing order ??

(a) √x , x , x²

(b) x² , x , √x

(c) x² , √x , x

The third side of the right angle triangle is 5 units.

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the side of the right triangle can be found using Pythagoras's theorem as follows:

c² = a² + b²

where

Therefore, using Pythagoras's theorem,

6² - (√11)² = b²

36 - 11 = b²

b² = 25

square root both sides of the equation

b = √25

b = 5 units

Therefore.

third side = 5 units.

learn more on right triangle here: https://brainly.com/question/23539229

#SPJ1

Answer:

ok so first i want to figure out what 2/5 converted to percent is......

you can find it out on a calculator or on paper by dividing 2 / 5 = 0.4

so this is 40% and if it takes him half a minute to do this, it takes him about 30 seconds to finish 40% of the essay and there is a full 60% still waiting to be done, so lets see,

40% + 40% = 80%

so that is about 1 full minute to write 80% we are still left with 20% so let's see how much time does it take to write 20% of the essay, in 40% it takes 30 seconds and in 80% it takes 60 seconds. So since 20% is half of 40% then we must divide the time in half so 30 / 2 = 15

So if we add all these numbers up it equals 1:15 minutes to write an essay

I hope this helps and please mark brainliest if i got it right!

The time taken by Ben to write a full page will be 1:15 minutes.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

you can find it out on a calculator or on paper by dividing 2 / 5 = 0.4

So this is 40% and if it takes him half a minute to do this, it takes him about 30 seconds to finish 40% of the essay and there is a full 60% still waiting to be done, so let's see,

40% + 40% = 80%

so that is about 1 full minute to write 80% we are still left with 20% so let's see how much time it takes to write 20% of the essay, in 40% it takes 30 seconds and in 80% it takes 60 seconds. So since 20% is half of 40% then we must divide the time in half so 30 / 2 = 15

Therefore, the time takes Ben to write a full page will be 1:15 minutes.

To know more about an expression follow

https://brainly.com/question/14813498

#SPJ2

If researchers want to generalize the results, they observe in a sample to those in the target population, then they need to make certain that the sample is representative of the target population.

The representativeness of the sample is determined by how well the sample resembles the target population in terms of characteristics such as age, gender, and education level.

To accomplish this, researchers must employ sampling strategies that provide them with a representative sample. They can use either probability or non-probability sampling methods.

Probability sampling techniques, such as simple random sampling, stratified random sampling, and cluster sampling, provide the researcher with a representative sample.

In contrast, non-probability sampling techniques, such as convenience sampling, quota sampling, and snowball sampling, do not guarantee that the sample will be representative of the target population.

Generally, researchers must guarantee that the sample is a suitable representation of the target population so that the outcomes and effects that they uncover in the sample can be generalized to the target population.

learn more about target population here:

https://brainly.com/question/4993330

#SPJ11

Here is a diagram of the points described:

(2,3)      (2, -3)

  |             |

  |             |

  c----------d

Based on the given points, let's consider the following:

Point A: A (2, 3)

Point B: B (2, -3)

Points A and B have the same x-coordinate, indicating that they lie on a vertical line. The y-coordinate of A is greater than the y-coordinate of B, suggesting that A is located above B on the y-axis.

Now, you mentioned that points C and D are collinear. Collinear points lie on the same line. Assuming that points C and D lie on the same vertical line as A and B, but at different positions.

The points A (2,3) and B (2, -3) are collinear, but the points A, B, C, D, and F are not. This is because the points A and B have the same x-coordinate, so they lie on the same vertical line. The points C and D also have the same x-coordinate, so they lie on the same vertical line. However, the point F does not have the same x-coordinate as any of the other points, so it does not lie on the same vertical line as any of them.

Learn more about points here:

brainly.com/question/18481071

#SPJ11

Answer:

BC is 40.8

B° is 59.03°

C° is 30.96°

Step-by-step explanation:

classic pythagoras (a² + b² = c²)

35² + 21² = 1666

sqrt1666 = 40.8

you do tan(x) here because you want to find B° and only know the opposite and adjacent sides.

35/21 = 1.66...

tan-¹(1.66..) = 59.03°

you do tan(x) here because you want to find C° and only know the opposite and adjacent sides.

21/35 = 0.6

tan-¹(0.6) = 30.96°

There is an outstanding bond from BP with a 15-year maturity, a $1,000 par value, a 6.9% coupon rate that is paid semi-annually, and a price of 98.17. As a result, the annual cost of debt for this bond is roughly 8.5 percent.

To calculate the cost of debt, we need to determine the yield to maturity (YTM) of the bond. The YTM is the rate of return an investor would earn by purchasing the bond and holding it until maturity. We can use the bond pricing formula to calculate the YTM.

The bond pricing formula is as follows:

\(\text{Bond Price} = \frac{{C \times (1 - (1 + r)^{-n})}}{{r}} + \frac{{M}}{{(1 + r)^n}}\)

Where:

C = Coupon payment

r = Yield to maturity (YTM)

n = Number of periods

M = Par value

Given information:

Coupon payment (C) = \(\$1,000 \times \frac{6.1\%}{2} = \$30.50\)

Par value (M) = $1,000

Bond price = $1,000 × 83.57% = $835.70

We know the bond has 15 years to maturity, and coupons are paid semiannually. So, the number of periods (n) is 15 years × 2 = 30.

Using the bond pricing formula, we can rearrange it to solve for the YTM:

\(Bond Price = \frac{{C \times (1 - (1 + r)^{-n})}}{{r}} + \frac{{M}}{{(1 + r)^n}}\)

Substituting the given values:

\($835.70 = \left(\frac{{\$30.50 \times (1 - (1 + r)^{-30})}}{{r}}\right) + \left(\frac{{\$1,000}}{{(1 + r)^{30}}}\right)\)

To find the YTM, we need to solve this equation either algebraically or using numerical methods like trial and error or using financial calculators/spreadsheets.

By using a financial calculator or spreadsheet, we find that the YTM is approximately 8.5%. Therefore, the cost of debt for this bond is approximately 8.5% per year.

To know more about the yield to maturity refer here :

https://brainly.com/question/26376004#

#SPJ11

Complete question :

Problem 17 Intro BP has a bond outstanding with 15 years to maturity, a $1,000 par value, a coupon rate of 6.1%, with coupons paid semiannually, and a price of 83.57 (percent of par). | Attempt 1/10 for 10 pts. Part 1 What is the cost of debt? B+ decimals Submit

Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

Answer:

hope you can figure it out from the but incase you can't it's D.

Step-by-step explanation:

10% off $40 would be $36 15% off $45 would be $38.25

$36 > $38.25

The variable being measured in this scenario is a categorical variable that represents the proportion of undergraduate students at a university who have taken biology.

The variable being measured in this case is a categorical variable, specifically the proportion of undergraduate students at a university who have taken biology.
In this scenario, the administrator is interested in determining the proportion of undergraduate students at a university who have taken biology. The variable being measured is the proportion itself, which represents a specific category or group within the population of undergraduate students. Categorical variables are variables that can be divided into distinct categories or groups, and they do not have a numerical value associated with them.
In this case, the proportion of students who have taken biology can be categorized into two groups: those who have taken biology and those who have not. This variable is categorical because it falls into distinct categories without a quantitative value attached to it. The goal is to determine the proportion or percentage of students within the university population who fall into each category, indicating the presence or absence of biology coursework.
To summarize, the variable being measured in this scenario is a categorical variable that represents the proportion of undergraduate students at a university who have taken biology.

Learn more about proportion here:

https://brainly.com/question/33460130

#SPJ11

Answer:

x−2y+5

Step-by-step explanation:

Combine Like Terms:

=14+x+4+−9+−2y+−4

=(x)+(−2y)+(14+4+−9+−4)

=x+−2y+5

Answer: 6.24

Step-by-step explanation:

To round 6.235 to the nearest hundredth means to round the numbers so you only have two digits in the fractional part (numbers after the decimal)

The last digit in the fractional part of 6.235 is 5 or more and less than 9, so add 1 to the second digit of the fractional part and remove the third digit.

Therefore, the answer is 6.24

Answer:

the third one?????????

Step-by-step explanation:

Answer:

285.7 \(ft^{2}\)

Step-by-step explanation:

The formula to find the lateral area of a cone is,  

I hope this helps:)

Answer:

The first one:

The U.S. government spent $13 million less every year on military operations.

The U.S. government spent $13 million less every year on military operations. Then the correct option is A.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

For much of U.S. history, military spending has increased over time. However, during the 1990s, military spending decreased.

The graph shows the annual military spending in the United States between the years 1990 and 1996.

From the graph, the equation of the line will be

m = (400 – 322) / (1996 – 1990)

m = 78 / 6

m = 13

Then the equation of the line will be

y = 13x + c

The U.S. government spent $13 million less every year on military operations.

Then the correct option is A.

The question was incomplete, but the complete question is attached below.

More about the equation of line link is given below.

https://brainly.com/question/21511618

$SPJ6

Answer:

right now in Bonny

Step-by-step explanation:

am so sorry for your prayers

hope it helps

Answer:

Step-by-step explanation:

The area for a triangle is

\(A=\frac{1}{2}bh\)

Our base is given as x, the height is given as 1 more than 6 times the base which looks like this: 6x + 1. We know that the area is 13, so filling in everything:

\(13=\frac{1}{2} (6x+1)(x)\)

We can get rid of the denominator of 2 by multiplying it on both sides to get:

\(26=(6x+1)(x)\) and simplifying a bit:

\(26=6x^2+x\)

Now we can move over the 26 and put the expression into standard quadratic form by setting it equal to 0:

\(6x^2+x-26=0\) which is choice C

Answer:

a) 24 students per teacher

b) 7 tutors for 77 students

Step-by-step explanation:

72/3 = 24

4/44*77= 7

The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

In the Social Exchange Theory of interpersonal relationship satisfaction, you would feel happiest in relationships when you feel that the rewards of the relationship equal or exceed its costs.

The Social Exchange Theory states that people evaluate their relationships in economic terms, with rewards being the benefits of the relationship and costs being the negatives. Rewards can include affection, attention, emotional support, sex, and companionship. Costs can include time, effort, money, and negative emotions such as stress, anxiety, and sadness.

According to the theory, individuals will be motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

The opposite is also true; if individuals feel that the costs of the relationship are greater than the rewards, they will be motivated to leave the relationship.

Therefore, people are constantly evaluating their relationships to determine whether they are getting what they need from the relationship and whether it is worth continuing.

The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

Learn more about costs here:

https://brainly.com/question/28778430

#SPJ11

K less than or equal to 5 is the answer. Hoped this helped!

The coefficient of determination is 0.233, then 23.3% of the variation in the data about the regression line is explained.

The coefficient of determination, represented by R2, is a measure of how much of the variation in the data is explained by the regression line. It is calculated by squaring the correlation coefficient, R.

If the coefficient of determination is 0.233, then the percentage of the variation in the data about the regression line that is explained is 23.3%. This is calculated by multiplying the coefficient of determination by 100 to convert it to a percentage.

In other words, 23.3% of the variation in the data is explained by the regression line, and the remaining 76.7% of the variation is unexplained.

It is important to note that the coefficient of determination does not indicate causation, but rather the strength of the relationship between the independent and dependent variables.

For more similar questions on regression:

brainly.com/question/25311696

#SPJ11

Answer:

15%

Step-by-step explanation:

You'll save 5 cents by doing the 15%

We know that the answer is: Rita is currently 5 years old and Cheryl is currently 2 years old.

Let's start by assigning variables to represent the girls' current ages. Let's say Rita's age is represented by "R" and Cheryl's age is represented by "C".

From the first sentence, we can create an equation:

R - 2 = C + 1 (since "2 years ago" means subtracting 2 from Rita's age and adding 1 to Cheryl's age to get their ages at the same point in time)

Simplifying this equation, we get:

R = C + 3

From the second sentence, we can create another equation:

R + 3 = 2(C + 3) (since "in 3 years" Rita's age will be R + 3 and Cheryl's age will be C + 3, and "will be twice as old as" means R + 3 = 2(C + 3))

Simplifying this equation, we get:

R + 3 = 2C + 6
R = 2C + 3

Now we can use substitution to solve for one of the variables. We can substitute "C + 3" for "R" in the second equation:

C + 3 = 2C + 3
C = 0

This means Cheryl is currently 0 years old, which doesn't make sense, so we made a mistake somewhere.

Let's go back to the first equation:

R = C + 3

We know from the second equation that "R + 3" must be an even number, since it's twice Cheryl's age in 3 years. This means that "R" itself must be an odd number, since adding 3 to an odd number gives an even number. Therefore, we can guess that Rita is currently 5 years old (an odd number) and Cheryl is currently 2 years old (an even number).

Let's check if this works:

2 years ago, Rita was 5 - 2 = 3 years older than Cheryl (who was 2 at the time).
In 3 years, Rita will be 5 + 3 = 8 years old and Cheryl will be 2 + 3 = 5 years old. 8 is indeed twice 5.

Therefore, the answer is: Rita is currently 5 years old and Cheryl is currently 2 years old.

To know more about old refer here

https://brainly.com/question/19261876#

#SPJ11

The coordinates of the midpoint of the segment connecting points are (4,-1).

To find the coordinates of the midpoint of the segment:

Given points -

Now, add the respective values in the formula:

Therefore, the coordinates of the midpoint of the segment connecting points are (4, -1).

Know more about coordinates here:

https://brainly.com/question/17206319

#SPJ4

Answer:

\(a^{12}\)

Step-by-step explanation:

Identity Used :   \(a^x \times a^y = a^{x+ y}\)

       \(a^5 \times a^7 = a^{5 + 7} = a^{12}\)

A 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments is 74.26 to 125.54.

What is a confidence interval?

A confidence interval (CI) is a range of values that, with a particular level of certainty, is likely to encompass a population value. A population mean that sits between an upper and lower interval is frequently stated as a percentage.

Here,

From the standard normal table, the z-critical value at 98% confidence interval is 2.33 so,

98%C.I. = µ ± z * σ /   n = 98.90 ± 2.33 * 42.30 / sqrt of 16  = 98.90 ± 24.64 = 74.26 to 125.54

The mean wake time of 102.80 minutes before the treatment due to the mean wake time of 102.80 minutes included in the 98% confidence interval which is between 74.26 and 125.54. Zopiclone does not appear effective.

Hence, A 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments is 74.26 to 125.54.

To learn more about the confidence interval from the given link

https://brainly.com/question/26658887

#SPJ4