What does the pattern in the residual plot indicate about the type of model?

a. The pattern is random, indicating a good fit for a nonlinear model.

b. The pattern shows the points are far from the zero line, indication a good fit for a linear model.

c. The pattern shows the points are far from the zero line, indicating a good fit for a nonlinear model.

d. The pattern is not random, indicating a good fit for a nonlinear model.

e. The pattern is random, indicating that the model is unable to be determined.

Answers

Answer 1

Answer:   c. The pattern shows the points are far from the zero line, indicating a good fit for a nonlinear model.

d. The pattern is not random, indicating a good fit for a nonlinear model.

Step-by-step explanation:

A residual plot is a graph that represents

residuals on the vertical axis independent variable on the horizontal axis.

Two main kids of plot are there.

First plot gives a random pattern, indicates a good fit for a linear model.

Other plots are non- random, indicates a good fit for a non- linear model.

Two points are correct for any residual plots :

c. The pattern shows the points are far from the zero line( basically u-shaped), indicating a good fit for a nonlinear model.

d. The pattern is not random, indicating a good fit for a nonlinear model.


Related Questions

im horrible at math so can some one write down the value to x ​

im horrible at math so can some one write down the value to x

Answers

Answer:

x = 134 degrees

Step-by-step explanation:

The two angles are alternate interior angles, therefore they equal.

I hope this helped!

It can definitely be a bit tricky to remember all of the different types of angles! But let's see what we've got here.

Our given measures/variables, 134 and x, are both on the inside of the parallel lines (clue: INTERIOR). Then, we can see that they are on opposite sides (clue: ALTERNATE). Therefore, these are alternate interior angles.

Alternate interior angles are congruent, which means that x = 134 degrees.

Hope this helps!! :)

if a triangle has one angle that measure 81 degrees and another that measures 47 degrees, what is the measure of the third angle?

Answers

Answer: 52

Step-by-step explanation:

81 + 47 is 128.

180 - 128 =52 degrees.

:)

Does someone mind helping me with this? Thank you!

Does someone mind helping me with this? Thank you!

Answers

-2^2=sqroot(x+2)^2
4-2=x+2-2
2=x
Sqroot(2+2)+2
Sqroot(4)+2
2+2
4

1. Express the following measurements in standard notation.
9.322 x 104 m

Answers

Scientific notation is built upon the idea of moving the decimal place to the left or right so many places.

A foundational background concept is that multiplying by 10 makes a number bigger and moves the decimal to the right.

For example: 3.4 x 10 = 34

The counterpart for that is that dividing by 10 makes a number smaller and moves the decimal to the left.

For example: 3.4 ÷ 10 = 0.34

So, when you see 3.4 x 10^5, this means you’re multiplying by 10 fives times, so that will move the decimal point five places to the right.

3.4 x 10^5 = 340 000

On the other hand, when you see a negative exponent on the 10, then that means you’re actually dividing by that many 10s and will move the decimal point that many places to the left. (to make the number smaller)

3.4 x 10^-5 = 0.000034

So, you need to first identify if you’ll make the number bigger or smaller (is the power of 10 postive or negative?) and then how many places the decimal point will need to move.

Which point is located at (−3, −2)? 12 points are plotted on a coordinate grid.Point A is 2 units right and 2 units up from the origin. Point B is 3 units left and 3 units up from the origin. Point C is 3 units right and 5 units up from the origin. Point D is 3 units right and 2 units down from the origin. Point E is 3 units left and 2 units down from the origin. Point F is 2 units left and 2 units up from the origin. Point G is 3 units left and 4 units down from the origin. Point H is 1 unit left and 3 units down from the origin. Point I is 6 units right and 3 units down from the origin. Point J is 6 units right and 5 units up from the origin. Point K is 5 units left and 5 units up from the origin. A. D B. E C. F D. G

Answers

The solution is :

The outlier on the the scatter plot is point L(6,2).

Here, we have,

given that,

M(3,3)

P(5,5)

N(5,7)

L(6,2)

Other points are : (1,3), (2,3), (2,4), (3,4), (3,5), (4,5), (4,6), (5,6)

Now, To find the outliers on the scatter plot we plot all the given points on the graph.

The resultant graph is attached below :

An outlier is a value in a data set that is very different from the other values. That is, outliers are values which are usually far from the middle.

As we can see the graph the point L(6,2) is the most unusual or the farthest point on the scatter plot as compared with all the other points on the scatter plot.

Hence, The outlier on the the scatter plot is point L(6,2).

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complete question:

Which point on the scatter plot is an outlier?

A scatter plot is show. Point M is located at 3 and 3, Point P is located at 5 and 5, point N is located at 5 and 7, Point L is located at 6 and 2. Additional points are located at 1 and 3, 2 and 3, 2 and 4, 3 and 4, 3 and 5, 4 and 5, 4 and 6, 5 and 6.

Point P

Point N

Point M

Point L

Which point is located at (3, 2)? 12 points are plotted on a coordinate grid.Point A is 2 units right

Faizah is paid $11 per hour for her work at a factory. She works 9 hours a day and 24 days a month. She saves $594 a month. Express the amount she saves as a percentage of her income.​

Answers

Answer:

The amount she saves is 25% of her income

Step-by-step explanation:

She is paid $11 per hour

She works 9 hours per day

and for 24 days per month

So, she works 9(24) hours per month

= 216 hours per month

Now, she is paid $11 hourly, so for 216 hours,

she will have 11(216) = $2376

Total income = $2376 per month

Saving = $594 per month

As a percentage, we divide the savings by the total income,

savings/(total income) = 594/2376 = 1/4 = 0.25

Hence we get 25%

wht is 700000x4864493-490

Answers

Answer:

3.4051451e+12

Step-by-step explanation:

:/

Answer:

3.40515e12

Step-by-step explanation:

How many different 4-digit PIN codes are there that only include the digits 4, 5, 7, 8 and 6
if each of those digits is only allowed to be used once?

Answers

Answer:

Available Digits = 4 (1, 2, 3 , 4)

Step-by-step explanation:

Now, if the digits can be used only once, it is a case of permuting 4 things out of 4 things i.e. 4P4=24ways

Alternatively, the units place can be filled in 4 ways, tens place can be filled in 3 ways, hundreds place can be filled in 2 ways and thousands place in 1 way.

So, TOTAL=4×3×2×1=24

HOPE IT HELPS

ILL GIVE BRANNIEST TO THE BEST SIMPLIFIED ANSWER Two linear functions are shown. Linear function J is represented by the equation y= 3/4x — 6 The table represents linear function K.

Which function has a larger x-intercept and what is its x-intercept?

A.
Linear function J has a larger x-intercept of –6.

B.
Linear function J has a larger x-intercept of 8.

C.
Linear function K has a larger x-intercept of 5.

D.
Linear function K has a larger x-intercept of 10.

Answers

Answer: I think it's A. But correct me if I'm wrong. I don't really do a lot of this math.

a number, y, is equal to 29 minus a number, x, minus 5. what is the value of y?

Answers

Answer:

Y = 29 - X - 5

A parachutists descends 32 feet in 2 seconds. Express the rate of the parachutist's change in helght
as a unit rate
The unit rate of the parachutist's change in height is feet per second.

Answers

Answer:6

Step-by-step explanation:

what is the answer for 3r+8=2r+12

Answers

Answer:

r=4

Step-by-step explanation:

Answer:

r = 4

Step-by-step explanation:

3r+8=2r+12

Subtract 2r from each side

3r-2r+8=2r-2r+12

r+8 = 12

Subtract 8 from each side

r +8-8 = 12-8

r = 4

A health worker is interested in determining if omega-3 fish oil can help reduce cholesterol in adults. She obtains permission to examine the health records of 200 people in a large medical clinic and classifies them according to whether or not they take omega-3 fish oil. She also obtains their latest cholesterol readings and finds that the mean cholesterol reading for those who are taking omega-3 fish oil is 18 points lower than the mean for the group not taking omega-3 fish oil. This is an example of

Answers

Answer:

This is an example of a;

T-test

Step-by-step explanation:

A t-test is a statistic test from which inferences can be drawn based on weather the difference in the means of two sample groups that could have particular common characteristics. The t-test is used for data sets that are normally distributed and the variance may be unknown

The t-test is used to test a proposed hypothesis (assumption) about a population

Therefore, based on the interest of the health worker to determine if omega-3 fish oil can help reduce cholesterol in adults by finding the difference in the means for the group taking omega-3 fish oil and the group not taking omega-3 fish oil, from which it can be determined if the difference in mean is statistically significant, is an example of a t-test

I really need help with b and c

I really need help with b and c

Answers

Answer:

Step-by-step explanation:

I dont know which b and c you are talking about, so...

3) b) 8, c) 19

4) b) 10, c) 16

Hope its helps u

Thank You

Please mark as brainliest

can someone help my lil sister.

can someone help my lil sister.

Answers

Answer:

78

Step-by-step explanation:

Given:

h + 9g

Required:

Evaluate when g = 8 and h = 6

Solution:

Plug in the values of the variables into the expression

Thus,

6 + 9(8)

= 6 + 72

= 78

Which of the following represents a function

Which of the following represents a function

Answers

Answer:

D represents a function pretty sure I had a problem like this as well

Step-by-step explanation:

C is the answer because the same input (x) number can not be matched twice with and output (y). The numbers in the input(x), or domain, constantly goes up by one, and the output(y), or range, constantly goes down by one.

I hope this helped!! Please correct me if I was wrong :)

The price of an apple is $1.25. If you get 20% discount, how much do you have to pay?​

Answers

Price of an apple: 1.25
Discount 20% (0.20)

1.25 x 0.20 = 0.25

You don’t pay 0.25 so

1.25 - 0.25 = 1

You have to pay $1.

Which equation represents a linear function? y – 2 = –5(x – 2) x 7 = –4(x 8) y – 3 = y(x 4) y 9 = x(x – 1).

Answers

To solve such problems we need to know about the Linear function.

Given to us

A.)  y – 2 = –5(x – 2)

B.)  x + 7 = –4(x + 8)

C.)  y – 3 = y(x + 4)

D.)  y + 9 = x(x – 1)

Linear function

A linear function is a function that is in the form of y=mx+c. thus we will check which functions are in this form, to know that a function is linear or not.

A.)  y – 2 = –5(x – 2)

\(y-2=-5(x-2)\\y-2= -5x+10\\y = -5x+10+2\\y = -5x+12\)

As we can that the function is in the form of y=mx+c. therefore, the function is a linear function.

B.)  x + 7 = –4(x + 8)

\(x+7 = -4(x+8)\\x+7 = -4x-32\\4x + x = -32-7\\5x = -39\)

As we can that the function is not in the form of y=mx+c. therefore, the function is a non-linear function.

C.)  y – 3 = y(x + 4)

\(y-3=y(x+4)\\y-3=yx+4y\\\)

As we can that the function is not in the form of y=mx+c. therefore, the function is a non-linear function.

D.) y + 9 = x(x – 1)

\(y+9 = x(x-1)\\y+9 = x^2 -x\\\)

As we can that the function is not in the form of y=mx+c. therefore, the function is a non-linear function.

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Answer:

the answeris A

Step-by-step explanation:

Took the test on E-2022

a bathtub contains 45 gallons of water. when the drain plug is pulled, the tub drains at an average rate of 3 gallons per minute. in how many minutes will the amount of water in the bathtub be 2212 gallons?

Answers

It will take approximately 737.33 minutes for the amount of water in the bathtub to reach 2212 gallons.

To find the number of minutes it will take for the amount of water in the bathtub to reach 2212 gallons, we can set up a proportion. Let's denote the number of minutes as t. We know that the rate of drainage is 3 gallons per minute, so the amount of water drained in t minutes is 3t gallons. The initial amount of water in the bathtub is 45 gallons, and we want to find the time it takes for the total amount of water to be 2212 gallons.

Using the proportion:(3t) / 45 = 2212 / 45. Cross-multiplying, we get: 3t = 2212. Dividing both sides by 3, we have: t = 2212 / 3. Calculating this value, we find: t ≈ 737.33. Therefore, it will take approximately 737.33 minutes for the amount of water in the bathtub to reach 2212 gallons.

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uppose that a certain data set contains the variable HEIGHT (giving a person's height) and the variable GENDER (coded O=female, 1=male). Then the y-intercept of the regression equation predicting HEIGHT from GENDER is given by: Select one: a. how much shorter females are than males, on average. b. how much taller males are than females, on average. c. the average height of females in the data set. d. the average height of males in the data set. e. the proportion of females in the data set. f. the proportion of males in the data set. g. it is not appropriate to interpret the y-intercept in this case.

Answers

The data set contains the variable height (giving a person's height) and the variable gender (coded O=female, 1=male). Then the y-intercept of the regression equation predicting height from gender is given by: option c) the average height of females in the data set.

The y- intercept of a direct retrogression relationship represents the value of one variable when the value of the other is zero. Non-linear retrogression models also live, but are far more complex. Retrogression analysis is a important tool for uncovering the associations between variables observed in data, but can not fluently indicate occasion. The data set contains the variable height (giving a person's height) and the variable gender (enciphered O = womanish, 1 = manly). also the y- intercept of the retrogression equation prognosticating height from gender is given by option c) the average height of ladies in the data set.

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Calculate the slope between (4, -9) and (5, 1) as a fraction

Answers

Answer:

slope = \(\frac{10}{1}\)

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (4, - 9 ) and (x₂, y₂ ) = (5, 1 )

m = \(\frac{1-(-9)}{5-4}\) = \(\frac{1+9}{1}\) = \(\frac{10}{1}\)

a design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp his company produces. he knows from numerous previous samples that when this service life is in control it is normally distributed with a mean of 500 hours and a standard deviation of 20 hours. on three recent production batches, he tested service life on random samples of four headlamps, with these results: sample service life (hours) 1 495 500 505 500 2 525 515 505 515 3 470 480 460 470 what is the mean of the sampling distribution of sample means when the service life is in control? multiple choice 500 hours 515 hours 495 hours 250 hours 470 hours

Answers

The mean of the sampling distribution of sample means is 495 hours.

What is the mean of the samples?

The mean of samples is the average of a set of samples or data.

This can be calculated using the formula:

Mean= (Sum of terms)/(Number of terms)

Find the mean of each sample as shown below:

Mean service life of sample 1 = \(\frac{495+500+505+500}{4} = \frac{2000}{4}\)

                                                = 500 hours

Mean service life of sample 2 =\(\frac{525 +515 +505 +515 }{4}=\frac{2060}{4}\)

                                                  = 515 hours

Mean service life of sample 3 =  \(\frac{470 +480 +460+ 470}{4}=\frac{1880}{4}\)

                                                  = 470 hours

Find the mean of the sampling distribution of sample means using the formula:

Mean of the sampling distribution (M)

=(Sum of mean of given samples )÷( Number of samples)

M = \(\frac{500+515+470}{3}=\frac{1485}{3}\)

M=495 hours

So, the mean of the sampling distribution of sample means is 495 hours.

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The mean of the sampling distribution of sample means is 495 hours.

What is the mean of the samples?

The mean of samples is the average of a set of samples or data.

This can be calculated using the formula:

Mean= (Sum of terms)/(Number of terms)

Find the mean of each sample as shown below:

Mean service life of sample 1 = \(\frac{495+ 500+ 505+ 500}{4}=\frac{2000}{4}\)

                                               = 500 hours

Mean service life of sample 2 = \(\frac{525+ 515+ 505+ 515 }{4}=\frac{2060}{4}\)

                                                 = 515 hours

Mean service life of sample 3 =  \(\frac{ 470+ 480 +460 +470}{4}=\frac{1880}{4}\)

                                                 = 470 hours

Find the mean of the sampling distribution of sample means using the formula:

Mean of the sampling distribution (M)

=(Sum of mean of given samples )÷( Number of samples)

M = \(\frac{500+515+470}{3}=\frac{1485}{3}\)

M=495 hours

So, the mean of the sampling distribution of sample means is 495 hours.

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What is the radius of the red circle? What is the radius of the blue circle?

What is the radius of the red circle? What is the radius of the blue circle?

Answers

Red Circle:

First find the diameter

We can do that by counting the squares

Diameter:4

The radius is half of the diameter

4/2=2

Radius of the Red Circles:2

Blue Circle:

Diameter: 2

2/2=1

Radius of the Blue Circle:1

I’ll give someone brainliest if they answer this

Ill give someone brainliest if they answer this

Answers

Answer:

2. The answer should be the last one.

3. The answer should be the first three.

Step-by-step explanation:

Question 2

KE = (1/2)mv²

2KE = mv²

v² = 2KE/m

v = ±√(2KE/m)

Therefore the answer should be the last one.

Question 3

b^(1/2) * b^(5/2)

Remember that the product rule states that b^x * b^y = b^(x+y)

So this means b^(1/2) * b^(5/2) = b^(1/2+5/2) = b^(6/2) = b^3

Also remember that the power rule states that √b = b^(1/2)

so this means b^(6/2) can also be written as (√b)^6

Therefore the answer should be the first three.

If you want to double check all of your answers, just replace b with a number (for example, 2), and plug all of the choices into the calculator. Just make sure you are very careful when typing into the calculator.

Dr. Fahrrad has been riding his bike to his job and is curious how many ATP his body is breaking apart in order to do the work required to get to his job.

Dr. Fahrrad rides 4.6 kilometers to his job, has a mass of 74.9 kilograms and has an average acceleration of 1.4 kilometers per second squared.

The molecule ATP is able to do work, measured in kilojoules per mole of ATP broken into ADP. The SI unit for work is a joule. Using the information given we can calculate work and then convert to moles of ATP.

The first step is to take stock of what we are given in the word problem and what we are trying to find. We have mass, distance, and average acceleration. We are trying to find how many ATP are required to power the bike ride to work.

The equation for work, is force times distance and will tell us how many joules Dr. Farrhad is using on his bike ride. It also incorporates one of our given variables, distance. However, the distance was reported in kilometers and the SI unit of distance is the meter. It is necessary to convert to meters before using this equation.

The equation for Force is mass times acceleration. This will incorporate our remaining two variables, mass and acceleration. Again, the information given to us was in km·s-2 but the SI unit for acceleration is m·s-2. It is necessary to convert to m·s-2 before substituting into the equation.

By substituting the equation for F into the equation for W, we can figure out how many joules Dr. Fahrrad is burning on his ride to his job.

In order to use these equations, we are assuming quite a few things. Below are some of the assumptions.

no friction
no mass of the bike
a flat ride with no change in altitude
This equation above will calculate work in joules. The conversion factor for switching between ATP and work is given in kilojoules. The units must match to correctly perform the conversion.

The last step is to convert work, calculated in joules, into moles of ATP being broken required to do the work. If we assume standard temperature and pressure, the breakdown of a mole of ATP releases 29 kilojoules available to do work.

How many moles of ATP is Dr. Farrhad breakdown to get to work? Report your answer to one decimal place.

Answers

Dr. Fahrrad breaks down 0.23 moles of ATP to get to work.

The first step is to calculate the work done by Dr. Fahrrad on his bike ride. We can use the following equation:

W = F * d

where:

W is the work done in joules

F is the force in newtons

d is the distance in meters

The force is equal to the mass of Dr. Fahrrad times his acceleration. We can convert the acceleration from kilometers per second squared to meters per second squared by multiplying by 1000/3600. This gives us a force of 102.8 newtons.

The distance of Dr. Fahrrad's bike ride is 4.6 kilometers, which is equal to 4600 meters.

Plugging these values into the equation for work, we get:

W = 102.8 N * 4600 m = 472320 J

The breakdown of a mole of ATP releases 29 kilojoules of energy. So, the number of moles of ATP that Dr. Fahrrad breaks down is:

472320 J / 29 kJ/mol = 162.6 mol

To one decimal place, this is 0.23 moles of ATP.

Here are the assumptions that we made in this calculation:

No friction

No mass of the bike

A flat ride with no change in altitude

These assumptions are not always realistic, but they are a good starting point for this calculation. In reality, Dr. Fahrrad would probably break down slightly more than 0.23 moles of ATP to get to work.

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Which of the following is NOT a arithmetic sequence?

A. 5, 2, -1, -4
B. 1/2, 1, 3/2, 2
C. 11, 14, 17, 20
D. 2, 4, 8, 16

Answers

Answer:

B

Step-by-step explanation:

They all follow a sequence such as always add 4 or take 6 away some of them multiply so it is B because it does not follow the sequence

PLEASE HELP!! NO LINKS!! GIVING 12 POINTS AWAY!!

PLEASE HELP!! NO LINKS!! GIVING 12 POINTS AWAY!!

Answers

hey good luck on ur assignment:)

Answer:

1.105°

2.35°

3.35,°

4.50°

Step-by-step explanation:

ito po yung answer ko sa assignment you sa Maka tulong

Please Help!!!! Find two consecutive odd numbers whose product is 47 more than their sum.

Answers

7 and 9

7 x 9 = 63

7+9=16

63-16 = 47

The pressure of a 300 mL sample of gas is 720 mmHg. What would be the pressure if the volume were decreased to 200 mL?

Answers

Answer:

3

Step-by-step explanation:

 x3+y3+z3=k

and k =42

The equation 24x2+25x−47ax−2=−8x−3−53ax−2 is true for all values of x≠2a,

where a is a constant.

What is the value of a?

What is the actual length of the living space if the length in the scale drawing is 16. 8 in the scale

Answers

The actual length of the living area is 134.4 feet if the length in the scale drawing is 16.8 in the scale.

         

To determine the actual length of the living space from a scale drawing, we need to use the scale factor, which is the ratio of the length in the drawing to the actual length. If the length in the scale drawing is 16.8 inches and the scale is given as a ratio of 1 inch in the drawing to 8 feet in actual size, we can set up a proportion:

1 inch (drawing) / 8 feet (actual)

= 16.8 inches (drawing) / x (actual)

We can cross-multiply and simplify to find x's value:

1 inch × x = 8 feet × 16.8 inches

x = (8 feet × 16.8 inches) / 1 inch

x = 134.4 feet.

Therefore, the actual length of the living space is 134.4 feet.

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The surface area of a square pyramid is 136 square inches. The length is 4 inches. What is the slant height? Name three possible values for a if 6.89 < a 6.94 Use Newton's method to approximate the given number correct to eight decimal places6root(47) (as in 47^6 would be the opposite) Help plz:))) Ill mark u brainliest ASAP 10 points (6xy) divided (-3x) what is the simplest form Please help1. 8/272. -x + y3. 1/84. -2y Answer the following questions in Spanish. Be sure to use complete sentences. 1. Aprendiste a formatear tu computadora? 2. Aprendieron tus amigos a bajar el programa del Internet? 3. Aprendi tu madre a usar el correo electrnico? 6. Write the correct form of verb given in bracket:a. We will go to party if he (invite).b. If she (work) hard, she would get good grades. b. the amount in the insurance expense account represents the adjustment made at january 31 for january insurance expense. if the original insurance premium was for one year, what was the amount of the premium and on what date did the insurance policy start? Melanie kept a potted in closed box with a hole on one side as shown in the diagram above. Which change would she MOST LIKELY observe in the part after a few daysA.The plant continues to grow in the same directionB.The roots bend toward the hole in the side of the boxC.The leaves will turn away from the hole in the side of the boxD.The stem bends toward the hole in the side of the box the second stage in leaving a social role can involve taking a leave of absence or separating from one's spouse. this stage, therefore, is characterized by The management of Rocko's Pizzeria is considering a special promotion for the last two weeks of October, which is normally a relatively low-demand period. The special promotion would involve selling two medium pizzas for the price of one, plus 1 cent. The medium pizza normally sells for $12.99 and has variable expenses of $4.50. Expected sales volume without the special promotion is 600 medium pizzas per week. Required: (a) Calculate the total contribution margin generated by the normal volume of medium pizzas in a week. (Do not round your intermediate calculations. Omit the "$" sign in your response.) Contribution margin $ (b) Calculate the total number of medium pizzas that would have to be sold during the 1-cent sale to generate the same amount of contribution margin that results from the normal volume. (Do not round your intermediate calculations.) what is a beneficial reason for purchasing organically grown fresh fruits and vegetables rather than conventionally grown foods? To survive in a closed space like Biosphere 2, plants would need___________sunlight________________ and animals would need_________food__________. an offer that can only be accepted by an offere's performance creates a(n) __________________________ contract For 10 points, Which measurement is the best estimate for the height of a school bus?A) 4 mB) 4 kmC) 4 cmD) 4 mm What is the gfc of 24 and 36 by the year ______ there were more than 40 experimental psychology laboratories in the us and canada. 1) Determine the average speed of a bicyclethat travels 15 m in 3.5 seconds. How should the government use John Locke's ideas for civil liberties? Can you provide two examples to support this? Bibliography. 2.Determine mZ17591249a mZ1 = 158b mZ1 = 180c mZ1 = 172d mZ1 = 161