HELP lol thankssssss

HELP Lol Thankssssss

Answers

Answer 1

Answer:

8 : 1

Step-by-step explanation:

Consider the points on the line relating raspberry juice to lemon- lime soda

That is

raspberry juice    lemon- lime sode

         8                             1

        16                             2

        24                            3

         32                           4

These values are all in the ratio of 8 : 1

Answer 2

Answer:

8:1

Step-by-step explanation:

i just know


Related Questions

Parker wants to buy a car and has a choice between two different banks. One bank is offering a simple interest rate of 3 2% and the other bank is offering a rate of 3%
compounded annually. If Parker decides to deposit $7,000 for 25 years, which bank would be the better deal?
A.)a simple interest rate of 3.2%
B.)a compound interest rate of 3%

Answers

Answer:

The better deal would be simple interest rate of 3.2%

Step-by-step explanation:

In order to calculate which bank would be the better deal If Parker decides to deposit $7,000 for 25 years, we would have to make the following calculation:

A. simple interest rate of 3.2%.

Therefore, FV= P*r*t

=$7,000*3.2%*25

=$5,600.

B. compound interest rate of 3%

Therefore, FV=PV(1+r)∧n

FV=$7,000(1+0.03)∧25

FV=$14,656

The better deal would be simple interest rate of 3.2%

Find the median of: 1, 3, 4, 6, 2, 4, 5, 6, 2, 3, 1, 4, 0, 4, 4, 4, 8, 9, 7, 4

Answers

Answer:

4

Step-by-step explanation:

1, 3, 4, 6, 2, 4, 5, 6, 2, 3, 1, 4, 0, 4, 4, 4, 8, 9, 7, 4

Arrange the numbers from smallest to largest

0,1, 1,2,2, 3,3, 4, 4,4,4,4,4 , 4, 5, 6, 6,   7, 8, 9,

There are 20 numbers

The middle number is between 10 and 11

0,1, 1,2,2, 3,3, 4, 4,4   ,4,4,4 , 4, 5, 6, 6,   7, 8, 9,

The median is 4

Solution,

Arranging the data in ascending order:

0,1,1,2,2,3,3,4,4,4,4,4,4,4,5,6,6,7,8,9

N(total number of items)= 20

Now,

Median:

[tex] (\frac{n + 1}{2)} ) ^{th \: item} \\ = (\frac{20 + 1}{2} ) ^{th \: item} \\ = \frac{21}{2} \\ = 10.5 \: th \: \: item[/tex]

Again,

Median:

[tex] \frac{10 \: th \: item + 11 \: th \: item}{2} \\ = \frac{4 + 4}{2} \\ = \frac{8}{2} \\ = 4[/tex]

Find the distance from point X to line p. An image of a point X, a line p, and three segments joining the point and the line. Question 12 options:
A. 2 √34 units
B. √85 units
C. 2 √17 units
D. √17 units

Answers

Answer:

Step-by-step explanation: Answer is 2√17 units

Distance =√ (−2−0) ^2−(5−(−3)) ^2

=√ (−2) ^2−(5+3) ^2

=√4+64

=√68

=2√17 units

9(d − 93) = –36 d = _______

Answers

Steps to solve:

9(d - 93) = -36d

~Distribute

9d - 837 = -36d

~Subtract 9d to both sides

-837 = -45d

~Divide -45 to both sides

18.6 = d

Best of Luck!

On Wednesday and Thursday
a total of 32 records were sold.
The number of records sold on
Thursday was 3 times the number
of records sold on Wednesday.
c) How many records were (2)
sold on Wednesday?
d) How many records were (1)
sold on Thursday?
Total marks: 5​

Answers

Answer:

8 records were sold on Wednesday, and 24 records were sold on Thursday

Step-by-step explanation:

Let's call the number of records sold on Wednesday w, and the number sold on Thursday t.

t+w=32

t=3w

Substituting:

(3w)+w=32

4w=32

w=8

t=3w=3(8)=24

Hope this helps!

Two parallel lines are crossed by a transversal.What is the value of d?

Answers

Step-by-step explanation:

if there is any confusion then again ask me always with you

Answer:

d = 125

Step-by-step explanation:

E2020

pls mark Brainliest

–735 = 15(m + 929) m = _______

Answers

Answer:

-978

Step-by-step explanation:

1.) Use Distributive property (by multiplying 15 by the values in parentheses): -735=15m + 13935

2.) Subtract 13,935 on both sides, to move that value to the left side, to further  isolate the variable m.

-735-13935=15m + 13935 - 13935

3.)-Simplify/Combine Like Terms

-14,670=15m

4.) Divide both sides by 15 to isolate and solve for m

-14,670/15=15m/15

5.) Simplify

-978=m    

6.) Rearrange so m is on left side and value is on right side

m=-978

What is the domain of the equation y=1/X+5?

Answers

Answer:

Domain is  

{

x

R

;

x

5

}

Range is  

{

y

R

;

y

0

}

Step-by-step explanation:

Explanation:

Domain: Denominator should not be  

0

x

+

5

0

or

x

5

Domain is any real value except  

x

=

5

or  

{

x

R

;

x

5

}

Range is any real value except  

y

=

0

or  

{

y

R

;

y

0

}

graph{1/(x+5) [-10, 10, -5, 5]}

A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 75 pounds. The truck is transporting 55 large boxes and 50 small boxes. If the truck is carrying a total of 4025 pounds in boxes, how much does each type of box weigh?

Answers

Answer:

There are 50 large boxes.

Step-by-step explanation:

First, "boxes of two sizes" means we can assign variables:

  Let x = number of large boxes

       y = number of small boxes

 

 "There are 115 boxes in all"    means    x + y = 115      [eq1]

 

Now, the pounds for each kind of box is:

    (pounds per box)*(number of boxes)

 

So,

  pounds for large boxes     +    pounds for small boxes      =    4125 pounds

                 "the truck is carrying a total of 4125 pounds in boxes"

 

        (50)*(x)                   +              (25)*(y)                  = 4125    [eq2]

 

It is important to find two equations so we can solve for two variables.

 

Solve for one of the variables in eq1 then replace (substitute) the expression for that variable in eq2.  Let's solve for x:

   x = 115 - y          [from eq1]

 

    50(115-y) + 25y = 4125             [from eq2]

     5750 - 50y  + 25y = 4125           [distribute]

     5750 - 25y = 4125

      -25y = -1625

         y = 65             [divide both sides by (-25)]

 

 There are 65 small boxes.

 

Put that value into either equation (now, which is easier?) to solve for x:

  x = 115 - y

  x = 115 - 65

  x = 50

I NEED HELP PLEASE, THANKS! :)

Answers

Answer:

D. No solution

Step-by-step explanation:

Instead of solving everything I just plugged the numbers on equations and saw that for some of them the numbers satisfied one or two equation but not all.  Also for some I saw that a number set makes the equation have no solution. For eg, I plugged option B into equation 3 and got 1305=756 which is never true so it is no solution.

Hope you understand :)

There are no solutions to the system of inequalities shown below.
y< 3x+ 5
y> 3x-1
True or false
Someone help please

Answers

Answer:

False, there are actually infinite solutions as these are parallel lines.

Step-by-step explanation:

Determine whether the lines L1:x=25+7t,y=17+6t,z=t and L2:x=−12+8ty=−17+8tz=−11+4t intersect, are skew, or are parallel. If they intersect, determine

Answers

Answer: The lines are skew.

Step-by-step explanation: Two lines can only be parallel OR skew Or intersect each other. To determine that:

1) If the lines are parallel, divide the coefficient that precedes the variable of each equation and compare:

[tex]\frac{7}{8} \neq \frac{6}{8} \neq \frac{1}{4}[/tex]

Since they are not equal, L1 and L2 are not parallel.

2) If the lines intersect, when you equal the equations the variable is a valid statement:

25 + 7t = - 12 + 8t (1)

17 + 6t = - 17 + 8t (2)

t = - 11 + 4t (3)

Using (3) to solve the system:

t - 4t = - 11

3t = 11

t = [tex]\frac{11}{3}[/tex]

Substituing t in (1):

25 + 7(11/3) = -12 + 8(11/3)

25 + 77/3 = - 12 + 88/3

[tex]\frac{152}{3} = \frac{52}{3}[/tex]

Which is not true, so, the lines does NOT intersect.

As they are none of the other options, it can be concluded that the lines L1 and L2 are skew.

V’s Warehouse has a market value of $880,000. The property in V’s area is assessed at 35% of the market value. The tax rate is $58.90 per $1,000 of assessed value. What is V’s property tax?

Answers

Answer:

  $18,141.20

Step-by-step explanation:

The assessed value is $880,000 × 0.35.

The tax will be ...

  (58.90/1000) × (0.35 × $880,000) = $18,141.20

Please answer this correctly

Answers

Answer:

1/4

Step-by-step explanation:

The probability of landing on an odd number is 2/4.

The probability of landing on a number greater than 5 is 2/4.

2/4 × 2/4

4/16 = 1/4

1/4


Odd number probability: 1/2
Number greater than 5 probability: 1/2

1/2 times 1/2 =1/4

Which of the following lists of ordered pairs is a function?
Α. (Ο, 2), (2, 3), (ο, - 2), (4, 1)
Β. (1, 2), (1,2), 2), (3, 4)
C. 1, 5). 2, 1, 4, 9), το, 5)
D. (2, 4), (0, 2), (2, -4), (5, 3)​

Answers

Answer:

the answer will be D

Step-by-step explanation:

Skylar has 4 times as many books as Karen. If Skylar has 164 books, how many books does Karen have?

Answers

Answer:

41

Step-by-step explanation:

If Skylar has 4 times as many books as Karen, that means that you have to do a division problem to figure out how books Karen has. Because Skylar has 4 times as many books, and she has 164 books, the division problem is 164÷4=41 books.

The number of books Karen has will be 41.

What exactly is simplification?

Simplifying means making something easier to do or comprehend, as well as making something less difficult.

Let,

Skylar has x number of books

Karen has y number of books = 164

Given condition;

y=4x

164=4x

x=41 books

Hence Karen has 41 books.

To learn more about the simplification, refer to:

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Finally, you meet a group of six natives, U, V, W, X, Y, and Z, who speak to you as follows. U says: None of us is a knight. V says: At least three of us are knights. W says: At most three of us are knights. X says: Exactly five of us are knights. Y says: Exactly two of us are knights. Z says: Exactly one of us is a knight. Which are knights

Answers

Answer:

w and y are knights

Step-by-step explanation:

Of the six natives, W and Y are the knights.

What is the reasoning?

In mathematics, reasoning entails making logical deductions from data or presumptions. Making sense of something can be defined as gaining comprehension of a situation, setting, or idea by relating it to what is already known or has already happened.

Given that you meet a group of six natives, U, V, W, X, Y, and Z, who speak to you as follows. U says: None of us is a knight. V says: At least three of us are knights. W says: At most three of us are knights. X says: Exactly five of us are knights. Y says: Exactly two of us are knights. Z says: Exactly one of us is a knight.

From the given data it is concluded that W and Y are the knights because their statement is W says: At most three of us are knights and Y says: Exactly two of us are knights.

To know more about reasoning follow

https://brainly.com/question/28015404

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helpppppppppp give bralienst

Answers

Answer:

1

Hope that helps.

Answer:

1

Step-by-step explanation:

16/16=1

Hope this helps, if you have any questions, feel free to ask

Have a good day! :)

Find the value of x.

Answers

Answer:

[tex]\huge\boxed{x=\sqrt{66}}[/tex]

Step-by-step explanation:

ΔADC and ΔABD are similar (AAA)

Therefore the cooresponging sides are in proportion:

[tex]\dfrac{AD}{AC}=\dfrac{AB}{AD}[/tex]

Substitute

[tex]AD=x;\ AC=6+5=11;\ AB=6[/tex]

[tex]\dfrac{x}{11}=\dfrac{6}{x}[/tex]          cross multiply

[tex](x)(x)=(11)(6)\\\\x^2=66\to x=\sqrt{66}[/tex]

In a book the characters are trying to determine whether the Poisson probabilistic model can be used to describe the locations that rockets landed in a city. They divided the city into ​0.25-kmsquared regions. They then counted the number of rockets that landed in each​ region, with the results shown in the table below. Complete parts​ (a) through​ (e). Number of rocket hits 0 1 2 3 4 5 6 7 Observed number of regions 228 214 94 32 7 0 0 1 ​(a) Estimate the mean number of rocket hits in a region by computing mu equals Summation from nothing to nothing xP left parenthesis x right parenthesis.

Answers

Answer:

The estimated mean number of rockets hits in the region is 533.

Step-by-step explanation:

We are given the following information,

Number of rocket hits     |    Observed number of regions

0                                       |                       228

1                                        |                       214

2                                       |                        94

3                                       |                        32

4                                       |                         7

5                                       |                        0

6                                       |                        0

7                                       |                         1

We are asked to estimate the mean number of rocket hits in the region.

The mean or expected value is given by

[tex]\mu = \sum (x \cdot P(x)) \\\\\mu = (0 \cdot 228) + (1 \cdot 214) + (2 \cdot 94) + (3 \cdot 32) + (4 \cdot 7) + (5 \cdot 0) + (6 \cdot 0) + (7 \cdot 1) \\\\\mu = 0 + 214 +188+ 96 +28 +0+ 0 + 7 \\\\\mu = 533[/tex]

Therefore, the mean number of rockets hits in the region is 533.

The base of pyramid A is a rectangle with a length of 10 meters and a width of 20 meters. The base of pyramid B is a square with 10-meter sides.
The heights of the pyramids are the same.
The volume of pyramid Als
y the volume of pyramid B. If the helght of pyramid B increases to twice that of pyramid A, the
new volume of pyramid B is
the volume of pyramid A.

Answers

Answer:

a. The volume of Pyramid A is double that of Pyramid B.

b. The new volume of B is equal to the volume of A.

Step-by-step explanation:

The base of pyramid A is a rectangle with length 10 meters and width 20 meters.

The base of pyramid B is a square of side length 10 meter.

Both pyramids have the same height, h.

The volume of a pyramid is given as:

V = lwh / 3

where l = length

w = width

h = height

The volume of Pyramid A is:

V = (10 * 20 * h) / 3 = 66.7h cubic metres

The volume of Pyramid B is:

V = (10 * 10 * h) / 3 = 33.3h cubic metres

By comparing their values, the volume of Pyramid A is double that of Pyramid B.

If the height of B increases to 2h, its new volume is:

V = (10 * 10 * 2h) / 3 = 66.7h cubic metres

The new volume of B is equal to the volume of A.

How many gallons of fuel costing $1.15 a gallon must be mixed with a fuel costing $0.85 per gallon to get 40
gallons of a fuel that costs $1 per gallon? Formulate an equation and then solve it in order to determine how
many gallons of fuel costing $1.15.

Answers

Answer:

multiply 0.85x40

Step-by-step explanation:

Suppose you are starting your own company selling chocolate covered strawberries. You decide to sell the milk chocolate covered strawberries for a profit of $2.25 $ 2.25 /box and the white chocolate covered strawberries at $2.50 $ 2.50 /box. Market tests and available resources, however, have given you the following constraints. The combined production level should not exceed 800 800 boxes per month. The demand for the white chocolate is no more than half the demand for milk chocolate strawberries. The production level for white chocolate should be less than or equal to 200 200 boxes.

Answers

Answer:

$1850 per month

Step-by-step explanation

There are two types of chocolates that can be produced milk chocolate and strawberry covered chocolate. To find the profit we make following equation,

P = $2.25 SC + $2.50 WC

where SC is strawberry chocolate and WC is White milk chocolate.

The maximum production level can be 800 boxes per month and white chocolates can not exceed the 200 boxes per month so we assume making 600 boxes of Strawberry covered chocolates and 200 boxes of white chocolates.

Profit = 2.25 * 600 + 2.50 * 200

Profit = $1850

This is the maximum profit that can be earned after making combination of two types of chocolates.

Find the third term in a geometric sequence if a = 8 and r = -1. Use the formula a(subscript n) = arⁿ⁻¹

Answers

Answer:

[tex]a_{3} = 8[/tex]

Step-by-step explanation:

=> [tex]a_{n} = ar^{n-1[/tex]

Where n = 3, a = 8 and r = -1

=> [tex]a_{3} = (8)(-1)^{3-1}[/tex]

=> [tex]a_{3} = (8)(1)[/tex]

=> [tex]a_{3} = 8[/tex]

If a carpenter nails a 15-ft brace to the wall 9 feet above the floor, how far (in ft) from the base of the wall should he nail the brace to the floor? ___________________________________ ft.

Answers

Answer:

c = 12ft

Step-by-step explanation:

Given that the wall is 9ft from the ground.

Brace nailed to the wall is 15ft.

Note that the brace to the wall will be slant hence it will look like the hypotenus side of a triangle.

The question requires the solution to the distance from the base of the wall to the brace.

Note from Pythagoras theorem

a^2 = b^2+c^2

Where a = 15ft

b = 9ft

Hence, from the base of the wall, the brace will be nailed 9ft

c = ?

15^2 = 9^2+c^2

225 = 81+c^2

225-81 = c^2

144 = c^2

c =√144

c = 12ft

Last winter Armand had StartFraction 5 Over 6 EndFraction of a row of stacked logs. At the end of the winter he had StartFraction 8 Over 15 EndFraction of the same row left. How much wood did he burn over the winter?

Answers

Answer:

3/10

Step-by-step explanation:

We have that the Armans last winter had 5/6 of a row of stacked logs and at the end of the winter he had 8/15 of the same row left, therefore:

Ambitious

First we have to do is that the denominator is the same.

in the case of 5/6 it would be 25/30

and for 8/15 it would be 16/30

Now if we can do the subtraction and it would be:

25/30 - 16/30 = 9/30 or what equals 3/10

3/10 was the amount of wood he burned in the winter

Answer:

D) 3/10 row

Step-by-step explanation:

O número inteiro positivo, cujo produto de seu antecessor com seu sucessor é igual a 8, é
A) 5
B) 4
C) -3
D) 3
El 2

Answers

Answer:

Olá!

`~~~~~~~~~~~~~~~~~~

3 (número inteiro positivo)

2 (antessor)

4 (sucessor)

Para provar isso, simplesmente multiplicamos entre 4 e 2:

4 x 2 = 8

Espero que isso tenha ajudado! Também seria bom se você me desse Brainliest!

What ray is a common side of

Answers

Your answer would be Ray OB

Hope this helps!
the correct answer is : ray OB

Two particles travel along the space curves r(t) and u(t). A collision will occur at the point of intersection if both particles are at P at the same time. (If an answer does not exist, enter DNE. Enter your answers as a comma-separated list.)
r(t) = t^2i + (9t - 20)j + t^2k u(t) = (3t + 4)i + t^2j + (5t - 4)k point of intersection (x, y, z) =
1. Do the particles collide?
a. Yes
b. No
2. Do their paths intersect?
a. Yes
b. No

Answers

Answer:

Point of intersection (x, y, z) = (16, 16, 16)

1. a. Yes

2. a. Yes

Step-by-step explanation:

In order for the particles to colide (and therefore have their paths intersect), the values for the i, j, and k coordinates must be equal for a given 't':

For the i coordinate:

[tex]i_{r(t)} =i_{u(t)}\\t^2=3t+4\\t=\frac{3\pm\sqrt{9-4*1*(-4)} }{2}\\t=4\ or\ -1[/tex]

For the j coordinate:

[tex]j_{r(t)} =j_{u(t)}\\9t-20=t^2\\t=\frac{9\pm\sqrt{81-4*1*20} }{2}\\t=4\ or\ 5[/tex]

For the k coordinate:

[tex]k_{r(t)} =k_{u(t)}\\t^2=5t-4\\t=\frac{5\pm\sqrt{25-4*1*4} }{2}\\t=4\ or\ 1[/tex]

As we can see, for t =4, both paths have the same coordinates and therefore they intersect and the particles will colide.

[tex]r(4) = 4^2i + (9*4 - 20)j + 4^2k \\r(4)=16i+16j+16k\\u(4) = (3*4 + 4)i + 4^2j + (5*4 - 4)k\\u(4)=16i+16j+16k[/tex]

Point of intersection (x, y, z) = (16, 16, 16)

Which of the following is false? Correlation coefficient and the slope always have the same sign (positive or negative). If the correlation coefficient is 1, then the slope must be 1 as well. If the correlation between two variables is close to 0.01, then there is a very weak linear relation between them. Correlation measures the strength of linear association between two numerical variables.

Answers

Answer:

If the correlation coefficient is 1, then the slope must be 1 as well.

Step-by-step explanation:

Coefficient of correlation is used in statistics to determine the relationship between two variables. Correlation coefficient and slope always have same sign. It measures the strength of linear relation between two variables. The values of correlation coefficient ranges between 0 to 1. where 0 determines that there is no relationship between two variables.

If the correlation coefficient is 1, then the slope must be 1 as well.

The correlation coefficient (ρ) is a measure that determines the degree to which the movement of two different variables is associated.

Correlation coefficient and the slope  both quantify the direction and strength of the relationship between two numeric variables. When the correlation (r) is negative, the regression slope (b) will be negative. When the correlation is positive, the regression slope will be positive.If the correlation between two variables is close to 0.01, then there is a very weak linear relation between them.

So, the false statement is:

If the correlation coefficient is 1, then the slope must be 1 as well.

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Pregnancy is a life-changing event. Sexually transmitted diseases (STDs) and there are now more than 20 can rob you of your health and even your life. Condoms do not eliminate these dangers. About 15% of adults who use condoms to prevent pregnancy find themselves pregnant over the course of a year. Despite condom use, there remains a 15% risk of sexual transmission of HIV/AIDS, a 50% risk of chlamydia (a cause of female infertility) and a significant risk of human papillomavirus (HPV) (cause of cervical cancer). Some STDs can be passed on by skin-to-skin contact in the entire genital area, only part of which is covered by a condom.How effective are condoms at preventing pregnancy and STDs? Check all that apply.A. Condoms are more effective at preventing STDs than other contraceptives.B. Condoms are more effective at preventing pregnancy than other contraceptives.C. Condoms are equally effective against all STDs.D. Using a condom does not guarantee that one will not contract an STD.E. Using a condom does not guarantee that one will not get pregnant. Of 41 bank customers depositing a check, 22 received some cash back. Construct a 90 percent confidence interval for the proportion of all depositors who ask for cash back. (Round your answers to 4 decimal places.) A reduction in oil supply will cause the long-run aggregate supply curve to:A. shift outward.B. shift inward.C. become steeper.D.become flatter. Which of the following choices must be true in order for ABC EDC by the AAS congruency theorem? B D A E AC EC AB DE If you know the audience for your website is diverse, what should you do? A. Avoid creating a list of frequently asked questions (FAQs). B. Use a high-tech, complex page design to impress site visitors. C. Provide more than one way to find specific content. D. Incorporate graphics of sports and use sports-related metaphors. A lottery ticket costs $5. You pick 3 two-digit numbers (anything from 00 to 99) in order. If you match the first number only, you win $200. If you match the first two numbers and not the third, you win $5000. If you match all three numbers, you win $100,000. In two or more complete sentences, explain whether or not the game is fair. In your explanation, include all necessary calculations. Why did trench warfare lead to a stalemate on the Western Front? 1.Germanys Schlieffen Plan was a success. 2.Battles were short due to high casualties. 3.Offensive operations attacking the other side rarely succeeded. 4.Neither side of the war had enough weapons to defeat the other. yo need help ASAP!!!! A corporation issued 5,600 shares of $10 par value common stock in exchange for some land with a market value of $82,000. The entry to record this exchange is: A competitiontook place in 1983takes place every 6 years.What is the first year after 2045 that it will also take place? SOMEONE HELPPP PLEASEEEE For what value of the constant c is the function f continuous on ([infinity],[infinity]) ? f(x)={cx2+2xifx PLEASE HELP!!!! Find the common difference a rectangle has an area of 18cm2. the lengths of the sides are whole numbers. how long can the sides be? give all the examples you can think of because i cannot 1.______ map shows variations of income across a geographic area.2.______ map shows the shape of Earth's surface. 3.______ map shows the state and national boundaries of a place. Which best summarizes the concept of natural selection? There are eight distinct domains within the Total Force Fitness (TFF) Program. _____ fitness refers to the ability to physically accomplish all aspects of the mission while remaining healthy and uninjured. Bijan has agreed to run a half-marathon to raise money for charity. Each day before school, Bijan runs a 2.4-mile route around his neighborhood. Then, each day after school, he runs on a lakeside trail. After 4 days, Bijan has run a total of 14.8 miles. Suppose you want to find out the length of the lakeside trail, x. What expression would represent how far Bijan runs everyday? What is the equation that represents his total distance after 4 days? A researcher hypothesizes that men will consume more caffeine than women. After the study has concluded, the researcher finds that there is no statistically significant difference between men and women (p > .05). What decision should the researcher make Examine the diagram of circle C. Points Q, V, and W lie on circle C. Given that mVCW=97, what is the length of VW?