Henry ran 3.43 kilometers last week. He ran 6.25 kilometers this week. How many
kilometers did run in all?

Answers

Answer 1

Answer:

Henry ran 3.43 kilometers last week. He ran 6.25 kilometers this week. How many

kilometers did run in all?

Step-by-step explanation:

Henry ran 3.43 kilometers last week. He ran 6.25 kilometers this week. How many

kilometers did run in all?

Answer 2

Answer:

9.68 kilometers

Step-by-step explanation:


Related Questions

A circle has a diameter of 60m. What is its circumference?

Answers

The circumference would be 188.5m

in 2015, the number of fish in a pond was 80. In 2016 The number of fish declined by 75% How many fish were in the pond in 2016?​

Answers

I think the the answer is 20

Which expression is equivalent to |-5| + |-3|

Answers

Answer:

5+3

Step-by-step explanation:

5+3

Answer:

5+3=8

Step-by-step explanation:

Determine if the sequence below is arithmetic or geometric and determine the common difference/ratio in simplest form
12,6,3

Answers

Answer:

The sequence is geometric

The common ratio is 0.5

Step-by-step explanation:

In the arithmetic sequence, there is a common difference between each two consecutive terms

In the geometric sequence, there is a common ratio between each two consecutive terms

Let us check the given sequence

∵ The first 3 terms are 12, 6, 3

∵ 6 - 12 = -6

∵ 3 - 6 = -3

∵ There is no common difference between the consecutive terms

The sequence is not an arithmetic sequence

∵ 6 ÷ 12 = 0.5

∵ 3 ÷ 6 = 0.5

∴ There is a common ratio between each two consecutive terms

The sequence is a geometric sequence

The common ratio is 0.5

Given sequence is geometric sequence and common ratio between consecutive term is  [tex]\frac{1}{2}[/tex] .

In Arithmetic sequence , common difference between consecutive terms should be equal.

In Geometric sequence, common ratio between consecutive terms should be equal.

Given sequence,     12, 6, 3, ...

  Since, common difference =  [tex]6-12\neq 3-6[/tex] , this is not arithmetic sequence.

Common ratio =     [tex]\frac{6}{12}=\frac{3}{6}=\frac{1}{2}[/tex]  Because common ratio is are equal. Thus, given sequence is geometric sequence.

Learn more about sequence here :

https://brainly.com/question/17648677

Chris drove 265 miles using 10 gallons of gas. At this rate, how many gallons of gas would he need to drive 424 miles?

Answers

Answer:16

Step-by-step explanation:

265 / 10= 26.5 miles per gal.

424 miles / 26.5 mpg = 16 gallons

4 tens + 14 ones = 5 tens + ___ ones

Answers

Answer:

that equation isnt set up right

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

40+14=54 and 50 = 4 + 54

Hope this helps :)

For each of the following cases [(a), (b), and (c)], (I) state whether the study should be observational or experimental. (II) state whether the study should be run blind, doubleblind, or neither. If the study should be run blind or double-blind, who should be blinded?(a) An investigation of whether taking aspirin reduces one’s chance of having a heart attack.(b) An investigation of whether babies born into poor families (family income below $25,000) are more likely to weigh less than 5.5 pounds at birth than babies born into wealthy families (family income above $65,000).(c) An investigation of whether the size of the midsagittal plane of the anterior commisssure (a part of the brain) of a man is related to the sexual orientation of the man.

Answers

Answer:

(a) An investigation of whether taking aspirin reduces one’s chance of having a heart attack.

Experimental

Neither blind nor double-blind (unless a placebo is being administered to some participants).

(b) An investigation of whether babies born into poor families (family income below $25,000) are more likely to weigh less than 5.5 pounds at birth than babies born into wealthy families (family income above $65,000).

Observational

There is no blinding issue here.

(c) An investigation of whether the size of the midsagittal plane of the anterior commissure (a part of the brain) of a man is related to the sexual orientation of the man.

Observational

There is no blinding issue here.

Step-by-step explanation:

An observational study happens where some variables are observed to determine their correlations.   On the other hand, in experimental studies, the researcher controls certain variables to determine causality.  Therefore, an experimental study provides evidence of cause and effect, like in (a) above.

A water-salt mixture calls for 3/4 cup if salt to be placed in 5 1/2 cups of water if i use 1 cup if salt how much water should i use to preserve the proper water to salt ratio

Answers

Answer:

7⅓ cups of water

Step-by-step explanation:

Water-salt mixture ratio = ¾ cup of salt to 5½ cups of water (¾ : 5½)

To maintain this water to salt ratio, if you intend to use 1 cup of salt, the number of water you need to add can be calculated as follows:

¾ cup of salt : 5½ cups of water = 1 cup of salt : x cups of water

¾ : 5½ = 1 : x

[tex] \frac{\frac{3}{4}}{5\frac{1}{2}}. = \frac{1}{x} [/tex]

[tex] \frac{\frac{3}{4}}{\frac{11}{2}} = \frac{1}{x} [/tex]

[tex] \frac{3}{4}*{\frac{2}{11} = \frac{1}{x} [/tex]

[tex] \frac{3}{2}*{\frac{1}{11} = \frac{1}{x} [/tex]

[tex] \frac{3*1}{2*11} = \frac{1}{x} [/tex]

[tex] \frac{3}{22} = \frac{1}{x} [/tex]

Cross multiply

[tex] 3x = 22 [/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{22}{3} [/tex]

[tex] x = 7\frac{1}{3} [/tex]

Number of cups of water to add to 1 cup if salt is 7⅓ cups.

Use long division to find the quotient below.
(16x3 + 40x2 + 72) - (2x+6)
A. 8x2 + 3x + 12
O B. 8x2 - 4x + 12
C. 8x2 + 5x + 12
D. 8x2 - 6x + 12

Answers

Long polynomial division ~
Answer-
B. 8x2-4x+12

What is the value of p?



p+2−4=14



Drag and drop the correct answer in the box.

p = Response area

Answers

Hi :)

p= 16

Subtract 4 from 2 to get −2
p−2=14

Add 2 to both sides
p=14+2


Add 14 and 2 to get 16
p= 16


Hope this helps :)

Answer: p=16

Step-by-step explanation:

If Jan is 3 years older now than Dale was 2 years ago, then Jan is how many older than Dale is right now.
A) 1 year
B) 2 years
C) 3 years
D) 5 years​

Answers

the answer is a (1 year)

Given g(x) = –2x – 1, find g(1).

Answers

Answer:

-3

Step-by-step explanation:

g(1)=-2-1

g(1)=-3

Brainliest appreciated!

Write down the gradient of the line y =-4r+7.​

Answers

4
x
+
y
=
7
or
y
=

4
x
+
7
Comparing withe general equation of a straight line
y
=
m
x
+
c
we get slope
m
=

4
.
Putting x=0 in the equation we get
y
=
7
. So y-intercept is
y
=
7
graph{4x+y=7 [-20, 20, -10, 10]} [Ans]

Factorise fully
-y - 6


this is my last question for today, right answer will be marked brainiest​

Answers

Answer:

[tex]-(y+6)[/tex]

Step-by-step explanation:

[tex]-y-6\\\\=-(y+6)[/tex]

Answer:

-(y+6)

Step-by-step explanation:

[tex] - y - 6[/tex]

Common factor : -1

[tex] - 1(y + 6) = \\ - (y + 6)[/tex]

Research shows that many banks are unwittingly training their online customers to take risks with their passwords and other sensitive account information, leaving them more vulnerable to fraud (Yahoo, July 23, 2008). Even web-savvy surfers could find themselves the victims of identity theft because they have been conditioned to ignore potential signs about whether the banking site they are visiting is real or a bogus site served up by hackers. Researchers at the University of Michigan found design flaws in 78% of the 214 U.S. financial institution websites they studied.

Required:
Is the sample evidence sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud? Use a 5% significance level for the test.

Answers

Answer:

Decision rule

Fail to reject the null  hypothesis

Conclusion

The sample evidence is not sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud.

Step-by-step explanation:

From the question we are told that

  The sample size is  n =  214

   The sample proportion is p = 0.78

   The level of significance is [tex]\alpha = 0.05[/tex]

Generally the population proportion is mathematically represented as

      [tex]p = \frac{3}{4} =0.75[/tex] (gotten from the statement  ''three out of four'' in the question)

The null hypothesis is [tex]H_o : p = 0.75[/tex]

The alternative hypothesis [tex]H_a : p > 0.75[/tex]

Generally the test statistics is mathematically represented as

     [tex]z = \frac{\^{p} - p}{ \sqrt{\frac{p(1-p)}{n} } }[/tex]

=>    [tex]z = \frac{0.78- 0.75}{ \sqrt{\frac{ 0.75(1-0.75)}{214} } }[/tex]

=>  [tex]z = 1.01[/tex]

Generally the p-value is mathematically represented as

    [tex]p-value  = P(Z > z )[/tex]

=> [tex]p-value  = P(Z > 1.01 )[/tex]

From the z-table  

    [tex]P(Z > 1.01 ) = 0.15625[/tex]

So

    [tex]p-value  = 0.15625 [/tex]

From the obtained values we see that [tex]p-value > \alpha[/tex] hence we fail to reject the null hypothesis

 Therefore we can conclude that the sample evidence is  not  sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud.

9=2m+2-3
please tell me what dis is​

Answers

Answer:

m=5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Step 1:

9 = 2m + 2 - 3        Equation

Step 2:

9 = 2m - 1        Combine Like Terms

Step 3:

10 = 2m       Add 1 on both sides

Step 4:

m = 10 ÷ 2       Divide

Answer:

m = 5

Hope This Helps :)

8. Fay Teng's expenditures for the past 3 months were: August,
$1,735.50; September, $1,829.42; and October, $1,793.88.
What is her average monthly expenditure?
9. You use the utility company's budget plan for paying your
home heating bills. You pay $75 a month for 9 months. Your
actual bills are: September, $28.95; October, $16.15; November,
$68.46; December, $109.34; January, $115.26; February. $94.19;
March $75.66; April, $51.97; and May, $49.16. Compute the
average for the 9 months.
ght The McGraw-e Companies, Inc. All rights

Answers

=$75.66 all in all and $67.99 dollars

a block is 12 g and volume is 6 what is the density

Answers

Answer: c.)2 g/ml is the correct answer.

Simplify the complex fraction. 8/5 divide by 6 3/4 *

Answers

Step-by-step explanation:

[tex]\frac{8}{5}[/tex]÷6[tex]\frac{3}{4}[/tex]

First, simplify the 6[tex]\frac{3}{4}[/tex] to an improper fraction, which is:

[tex]\frac{27}{4}[/tex]

Next rewrite the equation using the improper fraction:

[tex]\frac{8}{5}[/tex]÷[tex]\frac{27}{4}[/tex]

Now, in order to divide the fraction, we will need to flip the second fraction over, and then multiply the two fractions together. A great way to remember this is the phrase Copy Dot Flip - Copy the first fraction, put a dot for multiplication, and flip the second fraction.

[tex]\frac{8}{5}[/tex]·[tex]\frac{4}{27}[/tex]

Finally, multiply together and simplify/reduce if needed:

The final answer is [tex]\frac{32}{135}[/tex] and no simplification or reduction is needed

After the first week of registration, 92 children had enrolled for the second
session of summer camp. If this represents 80% of the available slots, what
is the maximum number of children the camp can enroll for the second
session?

Answers

Answer:

115 children

Step-by-step explanation:

Please see the attached picture for the full solution.

Water flows back and forth between a small and large tank. When water is moving into a tank the flow rate is

positive, and when water is moving from a tank the flow rate is negative. The large tank begins with 300 gallons of

water, and the small tank begins with 200 gallons of water. After a period of 5 minutes, the large tank has the same

amount of water as the small tank. Which statement describes the flow rate?

The flow rate of the large tank is 10 gal/min, and the flow rate of the small tank is -10 gal/min.

O The flow rate of the large tank is -10 gal/min, and the flow rate of the small tank is 10 gal/min.

The flow rate of the large tank is 20 gal/min, and the flow rate of the small tank is -20 gal/min.

The flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min.

Save and Exit

Answers

Answer:

D. The flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min.

Step-by-step explanation:

Flow rate = [tex]\frac{gallons of water}{minute}[/tex]

flow rate of water in the big tank = [tex]\frac{300}{5}[/tex]

                         = 60 gallons/minute

flow rate in the smaller tank = [tex]\frac{200}{5}[/tex]

                          = 40 gallons/minute

The difference in flow rate between the tanks = 60 - 40

                          = 20 gallons/minute

Since the two tanks have the same amount of water after the given time, then the volume of water in the large tank decrease; while the volume of water in the small tank increased.

Therefore, the flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min. This shows that option D is correct.

Answer:

B

Step-by-step explanation:

took the quiz

Please answer this correctly without making mistakes

Answers

Answer: 96%

1 square represent 1%

Answer:

96 present

Step-by-step explanation:

HELP PLEASEEEEEEEEEE

Answers

√-72 = √(i^2) 9*8 = 3i√8 = 3i√2^3 = 3i*2√2 =6i√2

Answer is D. 6i√2

The points A, B, C, and D are plotted on a line, consecutively. AB = BC = CD = 6 cm. Find the distance between M and N, which are the midpoints of segments

AB

and

CD

, respectively. Fill in the blanks of the Statement/Reason solution.


Statement Reason

1. AM = BM = AB 2 =_____ cm 1. ____________________

2. CN = _____ = CD 2 = _____ cm 2. Def. of midpoint

3. MN = MB + ______ + CN 3. ____________________

4. MN = ________ cm 4. Algebra

Answers

Answer:

Step-by-step explanation:

If M is the midpoint of AB, then AM = MB

Also AM+MB = AB

MB+MB = AB

2MB = AB

2MB = 6

MB = 6/2

MB = 3 cm

Also

If M is the midpoint of CD, then CN = DN and CN+DN = CD

CN+CN= CD

2CN = CD

2CN = 6

CN = 6/2

CN = 3 cm

Note that MN = MB + BC + CN

Substitute the given data

MN = 3cm + 6cm+3cm

MN = 12cm

Therefore the distance between M and N is 12cm

The distance between of the AM = BM = AB/2  is 3 cm, NC = ND = DC is 3 cm, MN = MB + DC + NC, and MN is 6.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The points A, B, C, and D are plotted on a line, consecutively. AB = BC = DC = 6 cm. Find the distance between M and N, which are the midpoints of segments AB and DC, respectively.

Then we know

[tex]\rm AM = MB \\\\NC = ND[/tex]

Then we have

[tex]\begin{aligned} \rm AM + MB &= \rm AB\\\\ \rm AM+AM &=6 \\\\ \rm AM &= 3 \end{aligned}[/tex]

Similarly, we have

[tex]\begin{aligned} \rm NC + ND &= \rm DC\\\\ \rm NC+NC &=6 \\\\ \rm NC &= 3 \end{aligned}[/tex]

NC = ND = 3 cm

AM = MB = 3 cm

1. AM = BM = AB/2 = 3 cm.

2. NC = ND = DC = 3 cm.

3. MN = MB + DC + NC.

4. MN = MB + DC + NC = 3 + 6 + 3 = 12 cm.

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

An environmental engineer is tasked with determining whether a power plant cooling system is heating the water it uses more than allowed by environmental regulations. They measure water temperatures at the cooling system input and the cooling system output for several different days in several different seasons.A data file containing these measurements is HW_PTA 243.csv.Do a statistical analysis on this data to determine if the temperature change between the input and output of the cooling system is different than 6 degrees. What does your analysis indicate?
A) The cooling system changes the temperature of the water by an amount different than 6 degrees.
B) The cooling system changes the temperature of the water by 6 degrees.

Answers

Complete Question

The complete question is shown on the first , second and third uploaded image

Answer:

A

 The correct option is A

B

  The correct option is H

Step-by-step explanation:

The null hypothesis is  [tex]H_o  :  \mu_1 - \mu_2 =  6[/tex]

The alternative  hypothesis is  [tex]H_a  :  \mu_1 - \mu_2 \ne  6[/tex]      

The population mean difference is  [tex]\mu_d  =  6[/tex]

Generally the sample size is  n =  15      

Generally the sample mean for input temperature is mathematically represented as

      [tex]\= x _1  = \frac{\sum x_i }{n}[/tex]

=>    [tex]\= x _1  = \frac{57.6 + 68.9 + \cdots +60.4  }{15}[/tex]  

=>    [tex]\= x _1  = 62.57 [/tex]  

Generally the sample mean for output temperature is mathematically represented as

      [tex]\= x _2  = \frac{\sum x_i }{n}[/tex]

=>    [tex]\= x _2  = \frac{65.1+ 74.4 + \cdots +67.3 }{15}[/tex]  

=>    [tex]\= x _2  = 55.97 [/tex]  

Generally the sample mean difference is mathematically represented as

   [tex]\= d = 62.57 - 55.97[/tex]

=>[tex]d = 6.6[/tex]

Generally the standard deviation is mathematically represented as

       [tex]s_d  =  \sqrt{\frac{ \sum [d_1 - \= d]^2}{n-1} }[/tex]

=>    [tex]s_d  =  \sqrt{\frac{ [ [57.6 -65.1]- 6.6]^2 +[68.9 -74.4]- 6.6]^2+\cdots +   [60.4 -67.3]- 6.6]^2}{15-1} }[/tex]

=>     [tex]s_d  = 1.732 [/tex]

Generally the test statistics is mathematically represented as

      [tex]t =  \frac{6.6  - 6 }{\frac{1.732}{\sqrt{15} } }[/tex]

=>   [tex]t = 1.342 [/tex]

Generally the degree of freedom is mathematically represented as

    [tex]df  = n -  1[/tex]

So

      [tex]df  =  15  -  2[/tex]

=>    [tex]df  =  14[/tex]

Generally the p-value  is mathematically represented as

     [tex]p-value  = 2 *  P(t >  1.342 )[/tex]

Generally from the t -distribution table the probability of 1.342 at a degree of freedom of  [tex]df  =  28[/tex] is  

       [tex]P(t >  1.342 ) = 0.10047[/tex]

So

     [tex]p-value  = 2 * 0.10047[/tex]

=>   [tex]p-value  = 0.201[/tex]

Generally from the value  obtained we see that [tex]p-value  > \alpha[/tex] Hence

The  decision rule is  

Fail to  reject the null hypothesis

The conclusion is

The cooling system changes the temperature of the water by 6 degrees

SHOW YOUR WORK! PLEASE HELP ASAP.
ITS REALLY SIMPLE PLEASE HELP DONT IGNORE

Xavier is solving a problem on the whiteboard as shown.
Part A. Is Xavier's solution correct? If not, identify where he made an error.
Part B. Solve 7950 divided by 25.

Answers

Let us see how we can solve this step by step each :

6417 ÷ 31 , we divide 64 by 31 and get the resulting quotient as 2 .

Then we bring down 1 . So , the number below is 21 , which cannot be divided by 31 .

So , we will have to bring down 7 for which we have to add a 0 to the quotient . Then the quotient will become 20 as of now .

As 217 is divisible by 3 , I put seven near 21 , making the quotient as 217 and get the remainder 0 .

Hence in the correct solution the correct quotient = 207 .

In Xavier's solution :

But the same thing has not been done in Xavier's solution as he has put a 0 after 7 instead of putting it before 7 . Hence , Xavier's mistake is that he put the 0 after 7 instead of putting it before 7 .

In Xavier's solution the quotient is = 270

Therefore , Xavier's mistake is that he put the 0 after 7 instead of putting it before 7 .

NEED A MATH TUTOR ASAP !!!

tim has $20 in a savings account. The interest rate is 10% per year and is not compounded. How much will he have in 1 year ?

Answers

Answer:

$22

Step-by-step explanation:

20 * 1.10 = 22

The answer is $22 good luck!!

Can y’all help me in this please

Answers

Answer:

this may be wrong but i think its p

Step-by-step explanation:

9. Determine whether KM and ST are parallel, perpendicular, or neither. K(-1, -8), M(1,6), S(-2,-6), T(2, 10) A Parallel B Perpendicular C Neither​ Hint(use slope formula)

Answers

Neither: the slope for KM=7, and the slope for ST= 1

Yoko made $306 for 18 hours of work.
At the same rate, how much would she make for 8 hours of work?
What’s the answer I need help

Answers

Answer:

$136.

Step-by-step explanation:

Divide how much they made by the # of hours. 306/18=17. Multiply the amount per hour 17 by the 8 hours of work. 17x8=136.

Other Questions
The price of one share of a stock fell $4 each day for 8 days. By how much did the value of the stock change in the time period? A. $32B. $24C. -$24D. -$32 Evaluate the expression, if x = 5 and y = 3. x + y = 1*Evaluate the expression,if x = 5 and y = 3.x + y - 1 how many solutions does a quadratic equation that can be written as the difference of squares have? What is an indigenous goose Complete the following sentences logically with the correct form of an 'er' verb. These are really confusing.the other problems6. Yves et toi, vous__que Martine est charmante?7.M. et Mme Legrand__ Paris.8. On__la tlvision. what is an example of the rising action in the bet 7. What happens during mitosis?(a) The nucleus of the cell divides.(b) The cytoplasm of the cell divides.(c) The cell divides.(d) The DNA replicates. Leah is an interior designer. She will use the scale drawing shown of two bedrooms and a shared bathroom to create her designs for her client. 25 points please help quick!!!!!What are the dimensions of the outer rectangle in Leahs scale drawing?A. 3 3/8 x 5 5/8B. 5 5/8 x 9C. 6 3/4 x 5 5/8D. 15 x 24 PLEASEEE HELP Escribe una escena de la peli Machuca como evidencia y luego escribe qu dicotoma representa. Finalmente, escribe una leccin que esa escena demuestra utilizando las dos partes de la dicotoma. Which definition of ELEMENTS and PRINCIPLES is best?The elements are used in both 2D and 3D are, but principles are only visible in 3D art.The elements and the principles are the same thing.The principles are the "things" which we actually see in the design. The elements are "rules" which thecreator uses to arrange the principles in a visually attractive way.The elements are the "things" which we actually see in a design. The principles are "rules" which thecreator uses to successfully arrange the elements in a visually attractive way. What is the quotient of 5.67 x 10^7 and 2.7 x 10^4 expressed in scientific notar What benefits did the Navigation Act passed on in 1663 provide to Britain? How did it affect the colonies? (12) The first step in getting my parents approval was getting a job. (13) I needed to have somewhere to drive to, right? (14) I began my search at the mall. (15) I figured pretty much every store in the mall needed help. (16) Boy, was I wrong. (17) I guess every other sixteen-year-old got there before I did. (18) However, the day wasnt over yet. What is the most effective way to combine sentences 14 and 15a) Pretty much every store at the mall needs help so I began my search there. b) My search began at the mall because I figured everyone needed help there. c) Searching at the mall, I figured pretty much every store their needed help. d) I began my search at the mall and figured pretty much every store in the mall needed help. The area of a square with sides of length s is given by A = s^2. Find the rate of change of the area with respect to s when s = 5 meters. The following model is a simplified version of the multiple regression model used by Biddle and Hamermesh (1990) to study the tradeoff between time spent sleeping and working and to look at other factors affecting sleep:sleep = 0 + 1totwrk + 2educ + 3age + u,where sleep and totwrk (total work) are measured in minutes per week and educ and age are measured in years. (See also Computer Exercise.)(i) If adults trade off sleep for work, what is the sign of 1?(ii) What signs do you think 2 and 3 will have?(iii) Using the data in SLEEP75.RAW, the estimated equation is= 3,638.25 - .148 totwrk - 11.13 educ + 2.20 age n = 706, R2 = .113.If someone works five more hours per week, by how many minutes is sleep predicted to fall? Is this a large tradeoff?(iv) Discuss the sign and magnitude of the estimated coefficient on educ.(v) Would you say totwrk, educ, and age explain much of the variation in sleep? What other factors might affect the time spent sleeping? Are these likely to be correlated with totwrk?Use the data in SLEEP75.RAW from Biddle and Hamermesh (1990) to study whether there is a tradeoff between the time spent sleeping per week and the time spent in paid work. We could use either variable as the dependent variable. For concreteness, estimate the modelsleep =0+ 1totwrk+u, where sleep is minutes spent sleeping at night per week and totwrk is total minutes worked during the week.(i) Report your results in equation form along with the number of observations and R2. What does the intercept in this equation mean?(ii) If totwrk increases by 2 hours, by how much is sleep estimated to fall? Do you find this to be a large effect? Which relationship is an example of commensalism?A )A diamondback rattlesnake and a gopher turtle share a burrow. The turtle digs the hole, and the snake provides protection from predators for the turtle.B)Remora fish stick to large sharks, receiving a free ride and scraps of food the shark does not eat. The shark is neither helped nor harmed.C)Hyenas and lions fight over the same antelope kill.D)A tapeworm lives in the intestine of a dog, obtaining food for itself, while slowly harming the dog. Describe a way to separate a mixture of fine sand and table salt without having to directly sort tiny crystals using tweezers. Which of the following is not part of the study of physical geography?MountainsClimateCitiesPlants The price of an item has risen to 297 today. Yesterday it was 110 . Find the percentage increase. Helppp I have an F in the class ! :/