Three sisters are saving for a special trip.
The ratio of Helga​'s savings to Nora​'s savings is 7 : 2 and the ratio of Nora​'s savings to Gertrude​'s savings is 2 : 3
Together all 3 sisters have saved ​$48
How much has each girl saved?

Answers

Answer 1

Nοra has $8 saved, Helga has $28 saved, and Gertrude has $12 saved.

What is ratiο ?

A ratiο is a way οf cοmparing twο quantities οr numbers by divisiοn. It is a relatiοnship between twο numbers that tells us hοw many times οne value is cοntained in the οther. Ratiοs can be written in different fοrms such as a:b, a tο b, οr a/b. In a ratiο, the first number is usually referred tο as the "antecedent" and the secοnd number is referred tο as the "cοnsequent".

Fοr example, if we have a ratiο οf 2:3, it means that the first number is twο-thirds οf the secοnd number. Ratiοs can alsο be simplified οr expressed in different units, but the relatiοnship between the twο quantities remains the same. Ratiοs are cοmmοnly used in many different areas οf mathematics, such as in geοmetry, prοpοrtiοn, and statistics.

Let x be the amοunt οf savings that Nοra has

Then, Helga has 7x/2 (since the ratiο οf Helga's savings tο Nοra's savings is 7:2)

And, Gertrude has 3/2x (since the ratiο οf Nοra's savings tο Gertrude's savings is 2:3)

We knοw that the sum οf their savings is $48, sο we can write an equatiοn:

x + 7x/2 + 3/2x = 48

Tο sοlve fοr x, we can first simplify the left side οf the equatiοn:

(2x + 7x + 3x)/2 = 48

12x/2 = 48

6x = 48

x = 8

Nοw that we knοw Nοra has $8 saved, we can find hοw much Helga and Gertrude have:

Helga has 7x/2 = 7(8)/2 = $28 saved

Gertrude has 3/2x = 3/2(8) = $12 saved

Therefοre, Nοra has $8 saved, Helga has $28 saved, and Gertrude has $12 saved.

Learn more about ratio

https://brainly.com/question/12024093

#SPJ1


Related Questions

Lesson Review Directions: Simplify the following expressions. Refer to the rules for signed numbers in solving these problems. Example: - 4 + 5 = +1 (the signs are different, take the difference (subtract) and place the sign of the larger number) 1. + 6 - (+3) = 2. + 10 + (-10) = 3. - 3 + (-3 ) = 4. + 24 - 21 = 5. - 48 - (-44) = 6. -12 - (-4 ) + 3 = 7. + 16 -(-15) = 8. - 35 - (-36) = 9. -6 * 10 = 10. -10 * -10 = 11. + 7 * - 7 = 12. -4 / -4 = 13. -6 * - 5 = 14. -10 * + 7 = 15. -4 * - 7 =

Answers

The simplified form of the following expression's is: +3, 0, -6, +3, -4, -11, +31, +1, -60, +100, -49, +1, +30, -70, +28.

What is expression?

Any mathematical statement that includes numbers, variables, and an arithmetic action between them is known as an expression or algebraic expression. In the expression 4m + 5, for instance, the words 4m and 5 are separated from the variable m by the arithmetic symbol +.

+6 - (+3) = +3

(subtracting the two numbers, and keep the sign of the larger number)

+10 + (-10) = 0

(add a positive and negative number with equal magnitudes results in 0)

-3 + (-3) = -6

(add two negative number's results in a negative sum)

+24 - 21 = +3

(subtracting the two numbers, and keep the sign of the larger number)

-48 - (-44) = -4

(subtract a negative number is the same as adding its positive, so -48 - (-44) becomes -48 + 44 = -4)

-12 - (-4) + 3 = -11

(subtract a negative number is the same as adding its positive, so -12 - (-4) becomes -12 + 4 = -8, ten add 3 to get -11)

+16 - (-15) = +31

(subtract a negative number is the same as adding its positive, so +16 - (-15) becomes +16 + 15 = +31)

-35 - (-36) = +1

(subtract a negative number is the same as adding its positive, so -35 - (-36) becomes -35 + 36 = +1)

-6 * 10 = -60

(multiply a negative number by a positive number results in a negative product)

-10 * -10 = +100

(multiply two negative numbers results in a positive product)

+7 * -7 = -49

(multiply a positive number by a negative number results in a negative product)

-4 / -4 = +1

(Dividing a negative number by a negative number results in a positive quotient)

-6 * -5 = +30

(multiply two negative numbers results in a positive product)

-10 * +7 = -70

(multiply a negative number by a positive number results in a negative product)

-4 * -7 = +28

(multiply two negative numbers results in a positive product)

To know more about expression visit:

brainly.com/question/29583350

#SPJ9

Jodie has c pieces of candy. She gives away 11 of the pieces. Write an expression that shows the number of pieces of candy Jodie has left

Answers

The expression which represents the number of pieces of candy left with Jodie is given by c - 11 .

Original number of pieces of candy with Jodie is equal to 'c'.

Number of pieces of candy Jodie gives away is equal to 11.

Expression used to represents the number of pieces of candy left with Jodie is written as,

Subtract 11 from the original number of candy

= ( c  - 11 )

Therefore, the representation of the expression for number of pieces of candy left with Jodie after she gives away 11 candy is equal to ( c - 11 ).

learn more about expression here

brainly.com/question/160522

#SPJ4

The polygons below are similar, but not necessarily drawn to scale. Find the values of x and y. (Does anybody know how to do all, or at least most of the work out?)

Answers

Step-by-step explanation:

They are similar....so they are scaled

to go from   side 16 on the left figure  to the corresponding side 12 on the right figure ,

   multiply by  .75

so    .75 ( y+1) = 21

     .75 y + .75 = 21

              y = 27

Similarly :   .75 ( x-1) = 6

                   .75x - .75 = 6

                        x = 9

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $2000 and his stock in Company B was worth $4240. The stock in Company A has increased 1% since last year and the stock in Company B has increased 5%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).

Answers

The total percentage increase in the investor's stock account is 3.7%.

What is percentage?

a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

According to given information :

The initial total value of the investor's stock account was $2000 + $4240 = $6240.

The new value of the stock in Company A is 1% more than last year's value, which means it is worth 1/100 * $2000 = $20 more than last year. Therefore, its new value is $2000 + $20 = $2020.

The new value of the stock in Company B is 5% more than last year's value, which means it is worth 5/100 * $4240 = $212 more than last year. Therefore, its new value is $4240 + $212 = $4452.

The new total value of the investor's stock account is $2020 + $4452 = $6472.

To calculate the percentage increase, we need to find the difference between the new and old values and express it as a percentage of the old value:

Percentage increase = ((New value - Old value) / Old value) x 100%

= (($6472 - $6240) / $6240) x 100%

= 3.7% (rounded to one decimal place)

Therefore, the total percentage increase in the investor's stock account is 3.7%.

To know more about percentage visit :

https://brainly.com/question/24877689

#SPJ1

WILL MARK BRAINLIEST!!
The following graph shows all the possible test scores when there are only 10 equally weighed problems, and no partial credit is given. Which of the following represents the domain, D, and the range, R, of this graph?

Answers

the domain is D = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, and the range is R = {0, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100}.

Why is it?

The graph shows all the possible test scores when there are only 10 equally weighed problems, and no partial credit is given. The domain represents all possible values of the independent variable, which in this case is the number of correct answers. The range represents all possible values of the dependent variable, which in this case is the score.

Looking at the graph, we can see that the domain consists of all non-negative integers from 0 to 10, inclusive. So the domain can be written as:

D = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

On the other hand, the range consists of all possible scores, which range from 0 to 100. So the range can be written as:

R = {0, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100}

Therefore, the domain is D = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, and the range is R = {0, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100}.

To know more about Graph related question visit:

https://brainly.com/question/17267403

#SPJ1

a 25-ft long ladder is leaning against the wall of a house when its base starts to slide away. the base of the ladder is moving away from the house at the rate of 2 ft/sec. how fast is the top of the ladder sliding down the wall when its base is 15 feet from the wall?

Answers

The top of the ladder is sliding down the wall at the rate of 1.5 ft/s.

Given: A ladder is 25 ft long and is leaning against the wall of a house.

The base of the ladder is sliding away from the house at the rate of 2 ft/sec.

Asked: How fast is the top of the ladder sliding down the wall when its base is 15 feet from the wall?

Let the distance of the top of the ladder from the wall be x ft.

Then we have,

x² + y² = 25² (by Pythagoras theorem)

Differentiating both sides with respect to time t,

we get, 2x(dx/dt) + 2y(dy/dt) = 0 ...(1)

Given dx/dt = 2, and x = 15 ft.

⇒ 2(15)(dx/dt) + 2y(dy/dt) = 0

⇒ 30 × 2 + 2y(dy/dt) = 0 (substituting the given values)

⇒ 2y(dy/dt) = - 60⇒ dy/dt = - 30/ y

The negative sign indicates that y is decreasing (getting smaller) with time.

The values of y are negative because it lies below the level of the ground.

Substituting the value of x = 15 in the equation x² + y² = 25², we get

15² + y² = 25²

⇒ y² = 25² - 15² = 400

⇒ y = - 20

Substituting the values of dy/dt and y in the above equation, we get,

dy/dt = - 30/ (- 20)

dy/dt = 1.5 ft/s

For similar question on ladder.

https://brainly.com/question/11002157

#SPJ11

3x -3 < 9 solve the inequality

Answers

Answer:

x > 6

Step-by-step explanation:

3x - 3 < 9

3x < 12

x < 4

Since x < 4 is not true, then the solution is x > 6

Use a calculator to find the approximate value of the expression. cot−1(−2.1) cot−1(−2.1)≈ (Type your answer in radians. Type an integer or decimal rounded to two decimal places as needed.) Let f(x)=sinx,−2π​≤x≤2π​ and g(x)=cosx,0≤x≤π. Find the exact value of the composite function. g−1(f(4π​)) g−1(f(4π​))= (Simplify your answer, including any radicals. Type an exact answer, using π as needed. Use integers or fractions for any numbers in the expression.)

Answers

cot⁻¹(-2.1) ≈ -1.068 radians

g⁻¹(f(4π)) = π/2.

When answering questions on the Brainly platform, it is important to be factually accurate, professional, and friendly. Additionally, it is important to be concise and not provide extraneous amounts of detail. Irrelevant parts of the question should be ignored, and any typos should be corrected as necessary. When answering a question, it is helpful to repeat the question in your answer to ensure that the answer is clear and understandable. A step-by-step explanation should be provided in your answer to help the student understand the solution. Finally, when using specific terms in your answer, it is important to define them and use them accurately.

Now, let's answer the given questions:

1. Use a calculator to find the approximate value of the expression.
cot−1(−2.1) cot−1(−2.1)≈
To find the approximate value of cot⁻¹(-2.1), we can use a calculator.
Using a calculator, we get:
cot⁻¹(-2.1) ≈ -1.068
Therefore, cot⁻¹(-2.1) ≈ -1.068 radians (rounded to two decimal places).


2. Let f(x)=sinx, −2π ≤ x ≤ 2π and g(x)=cosx, 0 ≤ x ≤ π. Find the exact value of the composite function.
g⁻¹(f(4π​)) g⁻¹(f(4π​))= (Simplify your answer, including any radicals. Type an exact answer, using π as needed. Use integers or fractions for any numbers in the expression.)
We know that f(x) = sin(x) and g(x) = cos(x).
Therefore,
f(4π) = sin(4π) = 0
Now, we need to find g⁻¹(0).
Since g(x) = cos(x), we know that g⁻¹(x) = cos⁻¹(x).
Therefore, g⁻¹(0) = cos⁻¹(0)
We know that cos(π/2) = 0, so cos⁻¹(0) = π/2 or 90°.
Therefore, g⁻¹(f(4π)) = g⁻¹(0) = cos⁻¹(0) = π/2.
Thus, g⁻¹(f(4π)) = π/2.

Learn more about composite function

brainly.com/question/20379727

#SPJ4

An angle measuring (468n)° is in standard position. For which value of n will the terminal side fall on the x-axis?
n = 4
n = 5
n = 6
n = 7

Answers

Answer:

n=5

Step-by-step explanation:

Standard Position of the Angle =(468 n)°

We have to find that value of, n for which terminal side will fall on X axis, that is the angle should be multiple of 180°.

You must be thinking why not multiple of ,360°, because factors of 360 are , 90,180,and 360, in which , multiple of 90 falls on x and y axis ,and multiple of 180 ,falls on X axis only.So, instead of taking factors of 90 or 360, you should take multiple of 180° for which  terminal side fall on the x-axis.

The Unit Digit of , (468 n)°,should be equal to 0, as it is divisible by number 180°.

For, n=5,

→468° × 5=2340°

So, 2340° , is divisible by 180°.

For, n=5, the terminal side ,the angle having Measure (468 n)°,will fall on the X axis.

On the day that certain crlebrity proposes marriage 10 peoplesknow aboutb it. Each day afterward the number of people who knows triples

Write a function that give the total number n(t) of people who know about the celebrity proposing t days after thecelebrity propose

N(t)=

Answers

the total number of people who know about the proposal 5 days after it was announced is 810.

The term [tex]3^ (t-1)[/tex] represents the number of people who find out about the proposal on day t, which is equal to three times the number of people who knew about it on the previous day. The initial value of 10 represents the number of people who knew about the proposal on the first day.

For example, if we want to find out how many people know about the proposal 5 days after the celebrity proposes, we can plug t=5 into the formula:

N(5) =[tex]10* 3^(5-1)[/tex] = [tex]10*3^4[/tex] = [tex]10*81[/tex] = 810

So the total number of people who know about the proposal 5 days after it was announced is 810.

the complete question is :

Assuming that the 10 people who know about the proposal on the first day do not forget or tell anyone else, we can use the following function to calculate the total number of people who know about the proposal t days after the celebrity proposes:

N(t) = [tex]10 * 3^(t-1)[/tex]

learn more about number here

https://brainly.com/question/10547079

#SPJ4

The actual values of the mean, variance, and standard deviation of a population are called: O regressed standardized scores O population Z scores population parameters sample statistics You wish to survey the interests of students in your statistics class. You enter the names of all students onto an excel spreadsheet. You then use a computer program to generate a list of random names. This is called: O computerized selection sampling selection O simple random selection haphazard selection In a population with a mean of 50, what is the deviation score for X = 45? O 5 05 45 O cannot be determined without more information In systematic sampling O A random sample is taken from each pre-selected subgroup. O Every Kth member of the population is included in the sample. Every member in a well-delineated area is sampled. Every member in the population is included in the sample

Answers

Population parameters are the real values of the variance, mean, and standard deviation of a population. These parameters are often unknown but can be estimated from a sample of the population.

When conducting a survey, it is important to select participants in a way that avoids bias and represents the population as accurately as possible. Simple random selection, in which individuals are selected randomly and every individual has an equal chance of being selected, is one way to achieve this.

Deviation score is the difference between an individual score and the mean of the population or sample. In this case, the deviation score for X = 45 in a population with a mean of 50 is -5.

In systematic sampling, every Kth member of the population is selected, making it a more efficient way of sampling compared to random sampling, but it requires that the population is well-ordered and homogeneous.

To know more about Standard deviation:

https://brainly.com/question/23907081

#SPJ4

-2 -1
X=0
YA
X=3
15
4
3
2
T
y = x²
2
3
4
y = (x-3)²
5 6
M
What are the coordinates for the x-
intercepts shown above?
XA

Answers

Answer:

what are the coordinator position y

Please help! Algebra Math!

Answers

D, or the last answer is the correct one

The arithmetic calculations and statistical procedures for (a) the test of homogeneity and (b) the test of independence are the same.
a) Explain in a few sentences what distinguishes these two hypothesis tests.
b) To illustrate your answer in part (a), make up an example of a research question that would require a test of homogeneity, and an example that would require a test of independence. Briefly describe the aspects of your examples that illustrate the distinguishing characteristics you mentioned in part (a).

Answers

a)  These two hypothesis tests differ in terms of their research questions, assumptions, and the types of variables that are involved in each test.

The arithmetic calculations and statistical procedures for (a) the test of homogeneity and (b) the test of independence are not the same. They are different from each other. These two hypothesis tests differ in terms of their research questions, assumptions, and the types of variables that are involved in each test. This is because they deal with different types of data. Below are the examples of a research question that would require a test of homogeneity and an example that would require a test of independence. These examples show the distinguishing characteristics that are involved in each of these tests. Research question that would require a test of homogeneity: A researcher would like to determine whether there is any significant difference between the proportions of men and women who voted for the two main political parties in an election. The research question can be framed as follows: Are the proportions of men and women who voted for the two main political parties homogenous or different? Assumptions: Samples are independent, observations are nominal or categorical, and the variable of interest has more than two categories (i.e., nominal or ordinal).Test of homogeneity:It is used to determine whether two or more populations have the same proportion or distribution of a nominal or categorical variable.Example that would require a test of independence:A researcher is interested in knowing whether there is any relationship between gender and drug addiction among high school students in a particular area. The research question can be framed as follows: Is there a relationship between gender and drug addiction among high school students?Assumptions:Samples are independent, observations are nominal or categorical, and the variable of interest has only two categories (i.e., nominal).Test of independence: It is used to determine whether there is any relationship between two nominal or categorical variables.

  Learn more about arithmetic calculations

  brainly.com/question/11764572

  #SPJ4

When an object is dropped, it’s height h can be determined after f seconds by using the failing object model

Answers

The object will be 6.1 m from the ground after 2 seconds.

The falling object model is used to calculate the height of an object after it has been dropped for a certain period of time. The equation used is h=h0−1/2gt2, where h0 is the initial height, g is the acceleration due to gravity and t is the time elapsed.

For example, if an object is dropped from a height of 15 m and falls for 2 seconds, we can calculate the height it will be at after 2 seconds.

The equation is then h=15−1/2(9.8)22

h=15−4.9•4

h=6.1 m

Therefore, the object will be 6.1 m from the ground after 2 seconds.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ4

If VUTW is a parallelogram find the m<VUT.​

Answers

Answer:

I would say twv

Step-by-step explanation:

Question content area top
Part 1
At a​ factory, two machines pack bottles into boxes for shipping. Machine A can pack 8 boxes per​ minute, and Machine B can pack 11 boxes per minute. Both machines have been packing boxes for some​ time, and the difference between the number of boxes that Machine B has packed and the number of boxes that Machine A has packed is less than 200. Write and solve an inequality to find the possible lengths of time to the nearest second that the machines have been working. Describe the possible solutions.

Answers

Machines A and B worked for 66 minutes and 6 seconds.

What are inequalities:

An inequality is a mathematical statement that compares two quantities using one of the inequality symbols: "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).

Inequalities can be solved just like equations, with the goal of finding the set of values that satisfy the inequality.

Here we have

Machine A can pack 8 boxes per​ minute, and Machine B can pack 11 boxes per minute.

Let Machines A and B work for 'x' minutes

Number of boxes packed by Machine A = 8x

Number of boxes packed by Machine B = 11x

The difference between the number of boxes that Machine B has packed and the number of boxes that Machine A has packed is less than 200.

=> | 11x - 8x| < 200

=> 3x < 200

Divide by 3 into both sides

=> 3x/3 < 200/3

=> x < 66.67

=> x < 66.6

Therefore,

Machines A and B worked for 66 minutes and 6 seconds.

Learn more about Inequalities at

https://brainly.com/question/28823603

#SPJ1

Find the area of the shaded sectors. Round to one decimal place. EB = 10,4 A=4
360
A
D
A=(
E
143
B
C

Answers

The answer of the given question based on finding  the area of the shaded sectors the answer is  approximately 18.8 + 4.2 = 23.0 square units.

What is Angle?

An angle is geometric figure formed by the two rays or lines that share common endpoint, called  vertex. The rays or lines are often referred to as arms or sides of angle

We need to know the central angles of each sector. We can find these angles by using the formula:

angle = (arc length / radius) * (180/π)

where π is pi, approximately equal to 3.14.

Therefore, we can use trigonometry to find angle EOB:

sin(EOB) = EB/OA

sin(EOB) = 10.4/8

EOB = sin^-1(10.4/8)

EOB ≈ 56.7° degrees

Since angle EOA is a right angle, we know that angle AOB is 90° degrees, so angle AOE is 90 - EOB = 33.3° degrees.

Now, we can find the area of each sector using the formula:

area = (angle/360) * π * r²

Area of shaded sector ADE:

angle AOE = 33.3° degrees

radius = OA = 8

area = (33.3/360) * π * 8²

area ≈ 18.8 square units

Area of shaded sector EBC:

angle EOB = 56.7° degrees

radius = EB/2 = 5.2

area = (56.7/360) * π * 5.2²

area ≈ 4.2 square units

Therefore, the total area of the shaded sectors is approximately 18.8 + 4.2 = 23.0 square units.

To know more about Trigonometry visit:

https://brainly.com/question/12068045

#SPJ9

solve 2x-7=13 what is x

Answers

Answer:x = 10

Step-by-step explanation:

13+7=20

2 x 10 = 20

x=10

Answer:

x = 10

Step-by-step explanation:

[tex]2x-7=13[/tex]

First, add 7 to both sides.

[tex]2x-7 + 7=13 + 7[/tex]

This cancels the -7 on the left side because [tex]-7 + 7 = 0[/tex].

[tex]2x=20[/tex]

Then, we can divide both sides by 2 to isolate one multiple of x.

[tex]2x=20\\\overline{\ 2\ } \ \ \ \ \overline{\, 2 \: }[/tex]

[tex]\boxed{x = 10}[/tex]

Rhonda kept track of the cats at a shelter where she volunteers. She measured how many times per day each cat ate, and she also ranked their activity level on a scale from 1 to 10 each day. She found the line of best fit for the data has the equation y=0. 23x+4. 1, where x represents the activity level and y represents the number of meals eaten.



If a cat had an activity level of about 9, then it's likely to have eaten about _[blank]_ meals.



Enter the value that correctly fills in the blank.



Round to the nearest whole number, if necessary, like this: 42

Answers

A cat would probably have consumed about 6 meals if its activity level had been around 9.

A linear equation is a relation between two variables in which one is dependent on the other in such a manner that changing one of the variables causes the change in another variable "linearly".

The above statement can be represented mathematically as,

y=mx+b

where m represents the rate of the change and c is the initial value of the equation.

Let x stand for activity level and y for the number of meals consumed. Therefore:

y = 0.23x + 4.1

For an activity level of 9, we will put x as 9:

y = 0.23(9) + 4.1 = 6.17

Thereby, we can say that If a cat had an activity level of about 9, then it's likely to have eaten about 6 meals.

To learn more about linear equations visit,

brainly.com/question/2972832

#SPJ4

Suppose 3% of students drink more than 3 cups of coffee each day. To check this claim, a researcher randomly selected a sample of 133 students and found that 5 drink more than 3 cups of coffee each day. What is the sampling distribution of the sample proportion? (Round to 2 decimal places for all z-values and round all other answers to 4 decimal places, if needed.) The distribution of the sample proportion of students drinking more than 3 cups of coffee each day is approximately normal $ with a mean of and a standard deviation of Check

Answers

The sampling distribution could be represented numerically as follows: P [tex]N(0.03, 0.027^2)[/tex]

How and why are sample distributions used?

A sample distribution is a statistical probability that is obtained by taking random samples from a certain population. It depicts the distribution of frequency on how dispersed certain outcomes will be for a particular population and is also referred to as a finite-sample distribution.

We utilize sample distribution because...

Since they enable you to comprehend a particular sample statistic in the context of other potential values, sampling distributions are crucial for inferential statistics. Importantly, they enable you to compute probabilities related to your sample.

σ [tex]=\sqrt{[p(1-p)/n]}[/tex]

where [tex]p[/tex] is the population proportion [tex](0.03)[/tex] , n is the sample size [tex](133)[/tex], and sqrt denotes the square root function.

Substituting in the values, we have:

σ [tex]=\sqrt{ [(0.03)(1-0.03)/133] ≈ 0.027}[/tex]

Since the sample size is large [tex](n = 133)[/tex] and the population proportion is not close to [tex]0[/tex] or [tex]1[/tex], we can use the normal distribution to approximate the sampling distribution of the sample proportion. The mean of the sampling distribution is equal to the population proportion [tex](0.03)[/tex]. Therefore, the distribution of the sample proportion of students drinking more than [tex]3[/tex] cups of coffee each day is approximately normal with a mean of [tex]0.03[/tex] and a standard deviation of [tex]0.027[/tex].

The notation for the sampling distribution can be written as follows:

P [tex]N(0.03, 0.027^2)[/tex]

To know more about sampling distribution visit:

https://brainly.com/question/10554762

#SPJ1

Geometry: A volleyball player serves the ball at an angle measuring 30 from the corner of the court to a player on the opposite side of the court 18 m from her. What is the width of the volleyball court? (ASAP!!!)

Answers

Using trigonometric functions, the width of the volleyball court is approximately 31.13 meters.

What are trigonometric functions?

Trigonometric functions are mathematical functions that relate the angles and sides of a right triangle.

The basic trigonometric functions are:

Sine (sin): the ratio of the length of the side opposite an angle to the length of the hypotenuse of the triangle.

Cosine (cos): the ratio of the length of the side adjacent to an angle to the length of the hypotenuse of the triangle.

Tangent (tan): the ratio of the length of the side opposite an angle to the length of the side adjacent to the angle.

We can use basic trigonometry to solve this problem.

Let's assume that the width of the volleyball court is "x" meters.

From the corner of the court to the opposite player, we have a right triangle with the following sides:

the adjacent side: x meters (since it is parallel to the court's sideline)

the opposite side: 18 meters (since it is perpendicular to the sideline)

the hypotenuse: we don't know it yet, but we can find it using the given angle.

We can use the tangent function to find the hypotenuse:

tan(30) = opposite / adjacent

tan(30) = 18 / x

Multiplying both sides by x:

x * tan(30) = 18

x = 18 / tan(30)

x = 18 / 0.5774

x ≈ 31.13 meters

Therefore, the width of the volleyball court is approximately 31.13 meters.

To know more about trigonometric functions visit:

brainly.com/question/30339626

#SPJ1

To schedule enough drivers for an upcoming week. a local pizza shop manager recorded the number of deliveries each day from the previous week 38,54,44,61,97,103,124.

Answers

Based on the deliveries of each day, the total number of deliveries made by the drivers is 521.

What is the total number of deliveries?

In order to determine the total deliveries, add the number of deliveries for each day together.

The addition is determining the total value or summing two or more numbers. The addition is one of the four basic operations in mathematics. The other basic operations are subtraction, multiplication and division. The sign that represents addition is +.

Total deliveries = 38 + 54 + 44 + 61 + 97 + 103 + 124 = 521

Here is the complete question: To schedule enough drivers for an upcoming week. a local pizza shop manager recorded the number of deliveries each day from the previous week 38,54,44,61,97,103,124. What is the total number of deliveries?

To learn more about addition, please check: https://brainly.com/question/19628082

#SPJ1

The following chips are placed in a bucket 5 white, 1 yellow, 2 blue, and 1 green. One chip is randomly selected from the bucket.
What color chip has the best chance of getting selected?

Answers

Answer: So,

If we add them together, we get

5 + 3 + 4 + 1 = 13

Since there are 4 blue chips, the probability would be 4 out of the total number of chips, or 4/13.

Step-by-step explanation: Hope this helps! <3

What is the exponential regression equation that fits these data?

X

y

1

4

2

8

3

27

4

85

5

250

6

600

Answers

The exponential regression equation that fits the given data points is y = [tex]4*3^(x-1).[/tex]

The exponential regression equation that fits these data is y = 4*3^(x-1). To calculate this, we need to first calculate the parameters a and b for the equation y = a*b^x. We can do this by finding the natural logarithm (ln) of both sides of the equation.

ln(y) = ln(a*b^x)

ln(y) = ln(a) + ln(b^x)

ln(y) = ln(a) + x*ln(b)

We can now calculate the parameters a and b by plotting the points (x, ln(y)) and performing a linear regression on the points.

ln(4) = 0.602

ln(8) = 2.079

ln(27) = 3.526

ln(85) = 4.443

ln(250) = 5.52

ln(600) = 6.398

The linear regression equation is ln(y) = 0.175x + 0.602. We can now solve for the parameters a and b by using the linear regression equation.

ln(a) = 0.602

a = e^0.602

a = 4

ln(b) = 0.175

b = e^0.175

b = 3

Therefore, the exponential regression equation that fits these data is y = 4*3^(x-1).

Learn more about exponential regression here:

https://brainly.com/question/11169800

#SPJ4

4.02 Lesson check ! (8)

Answers

The difference is not constant, the sequence is not arithmetic.

What exactly is an algebraic sequence?

An arithmetic sequence is a set of integers where each term is created by multiplying the preceding term by a fixed constant value (known as the common difference). A constant rate of change is modelled by arithmetic sequences in fields like engineering, physics, and financial computations.

For the given series we need to determine if the sequence is arithmetic, by checking difference between consecutive terms is constant.

9 - 7 = 2

12 - 9 = 3

16 - 12 = 4

Since the difference is not constant, the sequence is not arithmetic.

Learn more about arithmetic sequence here:

https://brainly.com/question/15412619

#SPJ1

The answer to this question pls

Answers

The equation of the line is y = (-1/3)x + 2.

This is the equation of the line in slope-intercept form, where the slope is -1/3 and the y-intercept is 2.

What is the equation of the line?

A linear equation is an algebraic equation of the form y=mx+b. where m is the slope and b is the y-intercept.

The place on the x-axis where the line crosses. This is the x-intercept of the linear function.

If the line is horizontal (and not the x-axis), the linear function will have no x-intercept.

Here, the line crosses the x-axis at 6.

The place on the y-axis where the line crosses. This is the y-intercept of the linear function

Here, the line crosses the y-axis at 2.

If a line crosses the x-axis at the point (6,0), it means that the line intersects the x-axis when the y-coordinate is 0 and the x-coordinate is 6. Similarly, if the line crosses the y-axis at the point (0,2), it means that the line intersects the y-axis when the x-coordinate is 0 and the y-coordinate is 2.

We can use these two points to find the equation of the line using the slope-intercept form:

y = mx + b

where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).

To find the slope, we can use the two points (6,0) and (0,2):

m = (y2 - y1) / (x2 - x1)

m = (2 - 0) / (0 - 6)

m = -1/3

To find the y-intercept, we can use the point (0,2):

y = mx + b

2 = (-1/3)(0) + b

b = 2

Therefore, the equation of the line is y = (-1/3)x + 2.

This is the equation of the line in slope-intercept form, where the slope is -1/3 and the y-intercept is 2.

To learn more about the equation of the line visit:

https://brainly.com/question/18831322

#SPJ1

The number, 19/7, is what number

Answers

Answer: a rational number

Ken lives at the point between the school and the pet shop, How far away is Ken’s house from the park

Answers

The answer to this question is that it depends. The distance of Ken’s house from the park cannot be determined without knowing the distance of the school and the pet shop from the park, and other factors such as terrain, local roads, and traffic can also affect the distance between Ken’s house and the park.

What is distance?

Distance is the amount of space between two points. It is a physical quantity that can be measured in various units such as meters, kilometers, miles and light-years. Distance can be calculated using the formula d = s × t, where d is the distance, s is the speed, and t is the time.

Ken lives at a point between the school and the pet shop, so it is impossible to answer this question without knowing how far away the school and the pet shop are from the park. If the park is close to the school or the pet shop, then Ken’s house would be close to the park, but if the park is further away from the school or the pet shop, then Ken’s house would be further away from the park. Therefore, the distance of Ken’s house from the park cannot be determined unless the distances of the school and the pet shop from the park are known.

In addition, other factors such as terrain, local roads, and traffic can also affect the distance between Ken’s house and the park. For example, if there is a hilly terrain between Ken’s house and the park, then the distance between them may be greater than if the terrain were flat.

For more questions related to point

https://brainly.com/question/24644930

#SPJ1

The average starting salary for an accountant is $52,338 but can vary by as much as $3,146. Which inequality could be used to determine the average salary range, if x represents the starting salary?

Answers

Answer: (x-y)

Step-by-step explanation:

To find the range you must subtract the largest number from the smallest.  

Other Questions
Rate the five different government actions from most effective to least effective in attempting to resolve sectionalism, Justify your ranking using details fromthe sources to support your response. b The pencils cost 2c dollars and the penscost 6k dollars.Fatima spends $30, so 2c +6k = 30Exercise 10.11 The cost of hiring a ladder is a fixed charge of $10 plus $3 per day.Work out the cost of hiring the ladder for one week.Explain why y = 3x + 10 where x is the number of days' hire andy is the total cost in dollars. How long would it take a roller skater to travel 25 km if his/her speed is 8 km/hr? The function f(x) = 223 - 6a? - 144x + 7 is increasing on the interval(-00, A) U (B, co) and decreasing on the interval (A, B).A =and B = f is concave up on (C, ) and concave down on (-00, C). C = nelter corporation, which has only one product, has provided the following data concerning its most recent month of operations: selling price $ 114 units in beginning inventory 375 units produced 6,480 units sold 6,450 units in ending inventory 405 variable costs per unit: direct materials $ 40 direct labor $ 25 variable manufacturing overhead $ 3 variable selling and administrative expense $ 18 fixed costs: fixed manufacturing overhead $ 103,680 fixed selling and administrative expense $ 58,050 the company produces the same number of units every month, although the sales in units vary from month to month. the company's variable costs per unit and total fixed costs have been constant from month to month. required: a. prepare a contribution format income statement for the month using variable costing. b. prepare an income statement for the month using absorption costing. If you want to know whether a company had a profit or a loss during a specific period of time, which financialstatement would be most helpful? comeple the list of student like and dislikes by writing the definite article that accompanies each nounpizzanatacionbeisbolespanol musica pop The line I passes through the points (-4, 0) and (1, 1).Find the gradient of line L. In a large population, 67% of the households have cable tv. A simple random sample of 64 households is to be contacted and the sample proportion computed. What is the mean and standard deviation of the sampling distribution of the sample proportions? The 3 major theater chains and 4 major movie studios file for chapter 11 bankruptcy, because of a loss of revenue from the millions of illegally downloaded movies. What can congress do? The absolute deepest part of the ocean is Area of a triangle is 110 cm and its base is 20 CM. find its attitude Which ordered pair in the form (x, y) is a solution of this equation?x + 6y = 9 A sample of the compound weighs 80 grams. How many grams of cobalt are in the sample? What strategy did the Allies agree upon in order to win World War II?A) Move in on Germany from all sides, then attack Japan by going through the Soviet UnionB) Defeat Germany and Italy first, then combine their forces against JapanC) Defeat Germanys navy before going in on on landD) Defeat Japan first, then combine forces against Germany and Italy what is the product of the reaction of 2,2-dichloro-3-methylbutane with water. how does this product react with OH- Your third client at Aeon Insights (after Mike and Maggie): Suppose a Concordia alumni Michaela Dyer, who has been working as an economist at the Bank of Canada for the past 20 years, is seriously considering a change in career. She wants to be her own boss and would not mind quitting her job that pays her $200,000 a year for each of the next four years. She came across a motel up for sale with an asking price of $400,000. The motel has two floors and a total of 28 rooms. There are 10 standard rooms on the first floor and 18 luxury rooms-with-a-view on the second floor. You estimated that the rooms are likely to be rented out 280 days out of a year. You also estimated that the MC of maintaining a rented standard room to be $10 but $20 for a rented luxury room. The annual fixed cost of running the motel is $100,000 per year, such as property tax and security. You recommend some one-time renovations for the motel before the grand opening and the renovation cost is $180,000. On December 31st of the fourth year, if Michaela wants to retire, you expect the motel can be sold for $500,000. The discount rate, which is the average stock market rate of return, is 7%.1. For each of the 280 days, you predict that Michaela can rent out __ luxury rooms and ___ standard rooms.a.9; 5b.12; 7c.16; 9d.None of the answers above is correct.2. The total discounted profit from renting out the rooms over the four years is equal to ____.a.$1,117,102.2724b.$1,155,039.0385c.$1,259,365.1452d.$1,198,086.2708 The Atlantic Ocean is located to the east of New England.TrueFalse the most common card reader is the card reader which reads encoded information stored on a thin magnetic strip located on the back of the card. the most common card reader is the card reader which reads encoded information stored on a thin magnetic strip located on the back of the card. magnetic A number from 0-9 is randomly selected and then a letter from a-d is randomly selected. What is the probability that the number 3 and a constant are selected?