Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Line A passes through points (-1, 5) and (3, -1). Line B passes through points (7, 2) and (6, -1). At what point does line A intersect line B?

Answers

Answer 1

Line A
slope = (-1 - 5)/(3+1) = -6/4 = -3/2
y = mx + b
5 = -3/2(-1) + b
b = 5 - 3/2
b = 7/2
equation of line A: y = -3/2x + 7/2

Line B
slope = (-1 - 2)/(6-7) = -3/-1 = 3
y = mx + b
2 = 3(7) + b
b = 2- 21
b = - 19
equation of line B: y = 3x -19

line A intersect line B when -3/2x + 7/2 = 3x -19
so
-3/2x + 7/2 = 3x -19
3x + 3/2x = 19 + 7/2
9/2x = 45/2
x = (45/2) * (2/9)
x = 5

y = 3x - 19 = 3(5) -19 = 15 -19 = -4

(5 , -4)

answer
line A intersect line B at (5, -4)

Related Questions

Calvin and hobbes are making snowballs to throw at suzi calvin made 3/7 of the snowballs and hobbes made 8/14 of the snowballs who mae more snowballs in fractions

Answers

recalculate 3/7 to have the same denominator as 8/14 ( 14)

so multiply both top and bottom by 2. 3/7 becomes 6/14

8/14 - 6/14 = 2/14 reduces to 1/7

Hobbes made more snowballs by 1/7

recalculate 3/7 to have the same denominator as 8/14 ( 14)

so multiply both top and bottom by 2. 3/7 becomes 6/14

8/14 - 6/14 = 2/14 reduces to 1/7

Hobbes made more snowballs by 1/7

Which of the following points is in the solution set of y>-x^2+5?

A. (0,5)

B. (1,3)

C. (2,4)

Answers

The only point which is a solution is C

The scale on a map indicates that 1 in = 2.5mi. How far apart are two cities that measure 2.5 ft apart on the map? A. 60 miles B. 6.25 miles C. 75 miles D. 90 miles

Answers

The answer is C. 75 miles

A local carpet company has been hired to carpet a planetarium which is in the shape of a circle. If the radius of the planetarium is six yards, and the cost of the carpet is $14 per square yard, find the total cost to carpet the planetarium. (use 3.14 for π )

Answers

This is the concept of application of geometry and financial mathematics; To calculate for the total cost of the carpet we proceed as follows;
Total cost=[area of the carpet]*[price per square yard]
area of carpet is given by:
Area=πr^2
where;
radius,r=6 yeards
=π*6^2
=113.1 square yards
therefore the price of the carpet will be:
113.1*14
=$1,583.4

The base of a triangle measures (3x − 6) units and the height measures (2x + 4) units. Part A: What is the expression that represents the area of the triangle? Show your work to receive full credit. (4 points) Hint: Area = 0.5bh Part B: What are the degree and classification of the expression obtained in Part A? (3 points) Part C: How does Part A demonstrate the closure property for polynomials? (3 points)

Answers

To answer this item, we use the equation given for the calculation of the area of the triangle.

A = 0.5bh

Substituting the known expressions,

A = (0.5)(3x – 6)(2x + 4)

Part A: Use distribution method to simplify the expression for the calculation of area.

A = 0.5(6x^2 + 12x – 12x – 24)

A = 0.5(6x^2 – 24)

A = 3x^2 – 12

Part B: The equation for area of has a degree of two because the highest exponent is 2.

Part C: The closure property of polynomials is always closed for multiplication.

Answer With Step-by-step explanation:

Part A:

.5[ (3x – 6) (2x + 4) ]

.5(6x^2 - 24)

3x^2 - 12

Part B:

Second Degree Binomial

Part C:

For Part A, a polynomial was multiplied by another polynomial. The resulting product was a polynomial. This is a demonstration of the closure property for multiplying polynomials.

The table below shows the surface area y, in square inches, of a shrinking puddle in x hours: Time (x) (hours) 1 4 7 10 Surface area (y) (square inches) 100 85 70 55 Part A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and surface area of the puddle. [Choose the value of the correlation coefficient from −1, −0.99, −0.5, −0.02.] (4 points) Part B: What is the value of the slope of the graph of surface area versus time between 1 and 4 hours, and what does the slope represent? (3 points) Part C: Does the data in the table represent correlation or causation? Explain your answer. (3 points)

Answers

The picture of how the graph looks like is shown in the picture.

Part A. The correlation coefficient, R², is the quantitative evaluation of how the data points are well-fitted to a model. The closer it is to 1, the better. But a R²=1 is very ideal and rare. This can be only true if the points coincides exactly with the given model. Since we can see in the graph that the points are exaclty passed through by the linear model, the correlation coefficient is 1.

Part B. The slope of the graph is measured between two points as Δy/Δx. So, between 1 to 4 hours, the slope is: (85-100)/(4-1) = -5. The slope represents the instantaneous rate of change of surface area with time. It is called instantaneous because the change was only between than interval, not the whole set of data. Also, the negative sign signifies that the trend is decreasing.

Part C. The data represents causation if the time was the cause of the change of the pond's surface area. However, this is not technically true because there might be other factors to be considered like environmental conditions. But, definitely, these data are in correlation because together they show an observable trend.

1. Find the coordinates of the circumcenter for ∆DEF with coordinates D(1,1) E (7,1) and F(1,5). Show your work.

2. What is the length of the 2nd base of a trapezoid if the length of one base is 24 and the length of the midsegment is 19? Show your work.

Answers

1. Draw an accurate drawing of the triangle in the coordinate axis, as shown in the picture.

FD and DE are perpendicular, because D and F have the same x coordinate, and D and E the same y coordinate.

Let A(4, 1) be the midpoint of DE and B(1, 3) be the midpoint of FD.

Draw the perpendiculars from A and B. They meet at O(4, 3), since AO is parallel to DF and BO is parallel to DE.

the point where the perpendicular bisectors of the sides meet is the circumcenter, so the circumcenter is O(4, 3)

2.

Let the length of the second base be x.

the length of the midsegment is the sum of the ases divided by 2.

[tex]19= \frac{x+24}{2} [/tex]

19*2=x+24

38=x+24

x=38-24=14

Answers:

1) O(4, 3)
2) length of second base = 14 units

If k pencils cost c cents what is the cost in cents of p pencils

Answers

the cost in cents of 1 pencil = c/k

the cost in cents of p pencils = (c/k) * p

If k pencils cost c cents. Then the cost in cents of p pencils will be cp / k.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

If k pencils cost c cents. Then the cost of each pencil is given as,

⇒ c / k

Then the cost in cents of p pencils is given as,

⇒ (c / k) x p

⇒ (cp) / k

If k pencils cost c cents. Then the cost in cents of p pencils will be cp / k.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

Select the inequality that corresponds to the given graph. graph of an inequality with a solid line through the points negative 8 comma 0 and 0 comma negative 4 and shading above the line A 4x − 3y > − 12 B x + 4y > 4 C 4x − 2y < − 8 D 2x + 4y ≥ − 16

Answers

well by looking at the graph I can see that the equation for the line is y=-0.5x-4
rearranging I can get the answer.
y>=-0.5x-4
y+0.5x>=-4
2y+x>=-8

the answer is
2x+4y>=-16

Answer: 2x+4y ≥ -16

Step-by-step explanation: In the given graph x-intercept is -8 and y-intercept is -4.

Also the graph is shaded up of the line for greater values of y's.

On the option 2x+4y ≥ -16 has x-intercept at -8 and y-intercept at -4.

Also all other inequalities has only less than or greater than sign.

In the given graph we have a solid line.

So, there should be greater than or equal to inequality sign for the inequality.

Only option 4 has greater than with equal to sign.

Therefore, correct option is 2x+4y ≥ -16

I need help with geometry.

Answers

1.

In any trapezoid, the length of the midsegment is [tex] \frac{|base_1|+|base_2|}{2} [/tex]

substituting the known values:

[tex] \frac{24+|base_2|}{2}=19 [/tex]

[tex]24+|base_2|=38[/tex]

[tex]|base_2|=38-24=14[/tex]

2.

Notice that since D and have the same y-coordinate, then DE is horizontal, and since F and D have the same x-coordinate, FD is vertical.

Thus FD and DE are perpendicular, so the triangle FED is a right triangle.

The median drawn from the right angle, is equal to half the hypotenuse.

That is, |DO|=1/2 |FE|, thus |OE|=|OF|=|OD|, are all radii of the circle centered at O.

O is the midpoint of EF, and is found by the Midpoint formula:

[tex]O=( \frac{1+7}{2} , \frac{5+1}{2} )=(4, 3)[/tex]

Answer:

1. 14

2. (4, 3)

How do I find ac in this problem

Answers

7 / x+4 = 5/x+1 =

5x+20 = 7x+7 =

20=2x+7

13=2x

x=13/2 = 6.5

6.5+4 = 10.5

6.5+1 =7.5

10.5+7.5 = 18

length of AC = 18

A scientist begins an experiment with a petri dish containing a culture of bacteria cells and records the cell growth every hour. At 1 hour, the bacteria had grown to 880 cells, and at 2 hours, had grown to 3,520 cells. Which function can be used to represent the relationship between the number of bacteria cells, y, and the time in hours, x?

y = 4 x
y = 220(4) x
y = 880(4) x
y = 880(0.25) x

Answers

880 = 220(4)^1
3520 = 220(4)2

B is correct choice.

Answer:

Step-by-step explanation:

If 300 cm^2 of material is available to make a box with a square base and an open top, find the maximum volume of the box in cubic centimeters. Answer to the nearest cubic centimeter without commas. For example, if the answer is 2,000 write 2000.

Answers

Hello,
Assume a the side of the base, b the height.

[tex]V=a^2*b\\ a^2+4ab=300==\ \textgreater \ b= \dfrac{300-a^2}{4a} \\ V=a^2*\dfrac{300-a^2}{4a}= \frac{1}{4} *(300a-a^3)\\ \dfrac{dV}{da} = \frac{1}{4} *(300-3*a^2)=0\\ ==\ \textgreater \ a=10 \ and\ b=5\\ V=10^2*5=500\\ [/tex]

Solve 4r2 – 7 = 29.
a. +-6
b. +-3
c. +-4
d. +-5

Answers

4r^2-7=29
+7 both sides
4r^2=36
÷4 both sides
r^2=9
square root both sides
r=+/-3 B

What is the probability of flipping a penny and a nickel and obtaining one head and one tail?

Answers

Final answer:

The probability of flipping a penny and a nickel and obtaining one head and one tail is 0.25, or 25%.

Explanation:

The probability of flipping a penny and a nickel and obtaining one head and one tail can be calculated by multiplying the probabilities of getting a head on one coin and a tail on the other coin. Since the chance of getting a head on a fair coin is 0.5 and the chance of getting a tail is also 0.5, the probability of getting one head and one tail is:

Probability = (Probability of getting a head on the penny) × (Probability of getting a tail on the nickel)

Probability = 0.5 × 0.5 = 0.25, or 25%.

The formula used to calculate simple interest is modeled by I=prt, where I=simple interest, p=principle, r=interest rate, and t=time, measured in years. Which of the following options represent(s) an alternative equivalent version of the simple interest formula? select all that apply....TY
I = trp
I = p + rt
I - rt = p
t= l/rp
p= l/rt

Answers

An alternative equivalent versions are:

I = trp
t= l/rp
p= l/rt

Step-by-step explanation:

The formula for simple interest is as follows.

I = prt

where, I = simple interest

p = principle

r = rate

t = time

This formula can be alternatively written by shifting I, r, t, and p either on the right or left side of equals sign.

Therefore, the formula can be rewritten as follows.

I = trp[tex]t = \frac{I}{rp}[/tex] [tex]p = \frac{I}{rt}[/tex]

What are the solutions of 2x^2+3x=-8

Answers

The equation given above is written here below with all the terms transposed to only one side of the equation.
2x² + 3x + 8 = 0
The quadratic formula used for the determination of the roots is,
x = (-b +/- sqrt (b² - 4ac)) / 2a

In the quadratic equation above, we have the numerical coefficients.
a = 2
b = 3
c = 8

Substituting the known values,
x = (-3 +/- sqrt (3² - 4(2)(8))/ (2)(2)
x = -0.75 + 1.854i and x = -0.75 - 1.854i

By the calculated roots above, it is known that the roots are imaginary.

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = -5 - 5 cos θ

Answers

y-axis symmetry=(r, theta)=(-r,theta)
-5-5cos(theta)=r
-r=5+5cos(theta)
no y-axis symmetry
x-axis symmetry=(r,theta)=(r,-theta)
cosine is an even function, so yes it is symmetric around x-axis
origin symmetry=(r,theta)=(-r,theta) or (r, theta+pi)
no, as there is no y-axis symmetry

Answer:

x-axis symmetry

Step-by-step explanation:

A hair-styling salon charges $11.00 for a haircut, and an average of 75 people stop in for haircuts each day. The owner is thinking of increasing the price, and he estimates that every time he raises the price of a haircut by $1.00, the number of people coming in for haircuts will decrease by 3 per day. Which of these functions represents the estimated revenue per day from haircuts as a function of the number of dollars the price of a haircut is raised?

Answers

Final answer:

The estimated daily revenue function, given the described price increase and corresponding customer decrease, can be represented as R(x) = (11 + x)(75 - 3x), where x is the number of dollars by which the price is raised.

Explanation:

The question asks us to find a function that represents the estimated revenue per day from haircuts as a function of the number of dollars the price of a haircut is raised. Initially, the salon charges $11.00 for a haircut with an average of 75 people per day. When the price increases by $1, the number of customers decreases by 3.

Let x represent the number of dollars by which the haircut price is raised. The new price will be $11.00 + x. The number of customers is initially 75, and for each $1 increase, we lose 3 customers, so the new number of customers will be 75 - 3x. The daily revenue, R(x), can be found by multiplying the new price by the new number of customers:

R(x) = (11 + x)(75 - 3x)

This function will give us the estimated daily revenue after increasing the haircut price by x dollars.

An expression is shown below:

square root of 32 plus square root of 2

Which statement is true about the expression?

please help 25 points

A. It is rational and equal to 4

B. It is rational and equal to 5

C. It is rational and equal to 5√2

D. It is rational and equal to 4√2

Answers

C) sqrt(32) = sqrt(2^5)=4sqrt(2), then + sqrt(2) = 5 * sqrt(2)

√(2^5)+√2

4√2+√2

(4+1)√2

5√2

There is a problem however...5√2 is IRRATIONAL because √2 is irrational, ie, it cannot be expressed as a ration of two integers...

So the problems simplified is certainly 5√2, but it is irrational.

Maybe there is a typo and should read:

C. It is IRrational and equal to 5√2

You have a total of 21 coins, all nickles and dimes. The total value is $1.70 Which of the following is the system of linear equations that represent this scenario? Let n= the number of nickles and let d= the number of dimes.

Answers

You need one equation for the physical nickels and dimes, which total to 21:

n+d=21

Secondly, you need one equation for the numerical value of those nickels and dimes. We know nickels are worth $0.05 and dime are worth $0.10:

.05n+.1d=1.70

What are the solutions of the equation 2x2=2 use a graph of the related function

Answers

The equation given is
2x² = 2
x² = 1
x = √1
x = 1

The solution is both -1 and 1 and the graph is shown below

Answer:

[tex]x=-1\text{ or }x=1[/tex]

Step-by-step explanation:

We have been given an equation [tex]2x^2=2[/tex]. We are asked to find the solutions of our given equation.

First of all, let us divide both sides of our equation by 2.

[tex]\frac{2x^2}{2}=\frac{2}{2}[/tex]

[tex]x^2=1[/tex]

Upon taking square root of both sides of our equation we will get,

[tex]x=\sqrt{1}[/tex]

[tex]x=\pm 1[/tex]

[tex]x=-1\text{ or }x=1[/tex]

Therefore, [tex]x=-1\text{ or }x=1[/tex] are two solutions for our given function.

A girl scout troop sold cookies. If the girls sold 5 more boxes the second week than they did the first, and if they doubled the sales of the second week for the third week to sell a total of 431 boxes of cookies, how many did they sell each week?

Answers

week1 = x

week2 = x+5

week3 = 2(x+5)

x + (x+5) + 2(x+5) = 431

x + x + 5 + 2x + 10 = 431

4x + 15 = 431

4x = 431 - 15

4x = 416

x = 104

week1 = x = 104 boxes

week2 = x+5 = 104+5 = 109 boxes

week3 = 2(x+5) = 2(104+5) = 2*109 = 218 boxes

which is enough information to prove that s||t

Answers

The answer is: <2 = <8

It will be the second option

Find the height of the figure below if the volume is 480.66^3 cm.

Answers

volume = PI x r^2 x H

you know the volume and the radius ( 12/2 = 6)

480.66 =3.14 x 6^2 x H

480.66 = 113.04 x h

h = 480.66/113.04 = 4.252

round off as needed.

Work out problem in picture

Answers

for x multiply 6 by sin(45) = 3sqrt(2) = 4.2426

for y since it is a right triangle with 45 degree angle both legs are equal

so y = x

There were n balloons at the beginning of the party. By the end of the party, 5 of them had popped. Using n, write an expression for the number of balloons that were left

Answers

Answer:

The expression for the number of balloons that were left is [tex]n-5[/tex].

Step-by-step explanation:

There were n balloons at the beginning of the party.

By the end of the party, 5 of them had popped.

Let the remaining balloons be represented by x

So, x = total balloons minus 5

This gives: [tex]x=n-5[/tex]

Therefore, the expression for the number of balloons that were left is [tex]n-5[/tex].

Find cos θ if sin θ = negative twelve divided by thirteen and tan θ > 0. negative five divided by twelve negative five divided by thirteen twelve divided by five negative thirteen divided by twelve

Answers

1.
Sin∅=opposite side / hypotenuse, in a right triangle, as shown in the figure.

In this triangle, the length of the hypotenuse is 13, the length of one side 12, and the other side can be found by the Pythagorean theorem to be:

[tex] \sqrt{13^{2} - 12^{2} }= \sqrt{169-144}= \sqrt{25}=5 [/tex]

2.
The value of the cosine is (adjacent side)/(hypotenuse)=5/13.

3.
The tangent is positive in the first and third quadrants.

Since Tan=Sine/Cosine, and Sine is negative, then cosine must be negative as well

Answer: -5/13

How do you solve all of these ?

Answers

5)

[tex]\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ 5}}\quad ,&{{ -3}})\quad % (c,d) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies -1 \\\\\\ % point-slope intercept y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-(-3)=-1(x-5) \\ \left. \qquad \right. \uparrow\\ \textit{point-slope form} \\\\\\ y+3=-x+5\implies y=-x+2[/tex]

6)

[tex]\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ 2}}\quad ,&{{ 1}})\quad % (c,d) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies 3 \\\\\\ % point-slope intercept y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-1=3(x-2) \\ \left. \qquad \right. \uparrow\\ \textit{point-slope form} \\\\\\ y-1=3x-6\implies y=3x-5[/tex]

7)

[tex]\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ 5}}\quad ,&{{ 2}})\quad % (c,d) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies 0 \\\\\\ % point-slope intercept y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-2=0(x-5) \\ \left. \qquad \right. \uparrow\\ \textit{point-slope form} \\\\\\ y-2=0\implies y=2[/tex]

8)

[tex]\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ -2}}\quad ,&{{ 0}})\quad % (c,d) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{5}{2} \\\\\\ % point-slope intercept y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-0=\cfrac{5}{2}(x-(-2)) \\ \left. \qquad \right. \uparrow\\ \textit{point-slope form} \\\\\\ y=\cfrac{5}{2}(x+2)\implies y=\cfrac{5}{2}x+5[/tex]

9)

[tex]\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ -2}}\quad ,&{{ 0}})\quad % (c,d) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{5}{2} \\\\\\ % point-slope intercept y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-0=\cfrac{5}{2}(x-(-2)) \\ \left. \qquad \right. \uparrow\\ \textit{point-slope form} \\\\\\ y=\cfrac{5}{2}(x+2)\implies y=\cfrac{5}{2}x+5[/tex]

10)

[tex]\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{-2}}\quad ,&{{ -2}})\quad % (c,d) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{3}{2} \\\\\\ % point-slope intercept y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-(-2)=\cfrac{3}{2}(x-(-2)) \\ \left. \qquad \right. \uparrow\\ \textit{point-slope form} \\\\\\ y+2=\cfrac{3}{2}(x+2)\implies y+2=\cfrac{3}{2}x+3\implies y=\cfrac{3}{2}x+1[/tex]

88 is the product of
8
and Jenny's score

Answers

product means multiplication

88 is the product of 8 multiplied by a number

so 88/8 =11

jenny's score is 11

Other Questions

The earths crustal plates move due to what current The period of life in which the ability to reproduce beginsin females, it is the period when the female reproductive organs are fully developedis known as Shawn wants to buy a cd player that costs $48.00. If he has already saved $30.00, what percent of the price of the cd player has he saved? It is logical to conclude that water cannot dissolve vegetable oil because the oil is Which logarithmic function has x=5 as its vertical asymptote and (6,0) as the x-intercept? Read the two passages. Excerpt from The Gettysburg Address, 1863 By Abraham Lincoln Four score and seven years ago, our fathers brought forth upon this continent a new nation: conceived in liberty, and dedicated to the proposition that all men are created equal. Now we are engaged in a great civil war[and many have died]. It is for us the livingto be dedicated here to the unfinished work which they who fought here have thus far so nobly advanced. It is rather for us to be here dedicated to the great task remaining before us ...that we here highly resolve that these dead shall not have died in vain...that this nation, under God, shall have a new birth of freedom...and that government of the people...by the people...for the people...shall not perish from this earth. Excerpt from John F. Kennedys Inaugural Address, 1961 By John F. Kennedy In the long history of the world, only a few generations have been granted the role of defending freedom in its hour of maximum danger; I do not shrink from this responsibility. I welcome it. I do not believe that any of us would exchange places with any other people or any other generation. The energy, the faith, the devotion which we bring to this endeavor will light our country and all who serve itand the glow from that fire can truly light the world. And so, my fellow Americansask not what your country can do for youask what you can do for your country. My fellow citizens of the worldask not what America will do for you, but what together we can do for the Freedom of Man. According to the supporting details, what do the speeches by Lincoln and Kennedy have in common? A. Both speeches express they do not want those who have died during a war to have died in vain. B. Both speeches mention that the presidents do not welcome the role of defending freedom. C. Both speeches pose a question for each American to ask themselves. D. Both speeches indicate a desire to motivate and unite Americans in order to preserve freedom. Group of handicraft workers who attacked factories in northern england in 1811 and after, smashing the new machines that they believed were putting them out of work. _________________ Raquel and Van live in two different cities. As part of a project, they each record the lowest prices for a gallon of gas at gas stations around their cities on the same day. Raquels data reflect a mean price of $3.42 with a standard deviation of 0.07. Vans data reflect a mean price of $3.78 with a standard deviation of 0.23. Which statement is true about their gas-price data? Raquels data are most likely closer to $3.42 than Vans data are to $3.78. Vans data are most likely closer to $3.42 than Raquels data are to $3.78. Raquels data are most likely closer to $3.78 than Vans data are to $3.42. Vans data are most likely closer to $3.78 than Raquels data are to $3.42. The ph of the gastric juice of the stomach is about 2 due to the formation of hcl. where does this formation of hcl occur? What is the probability of rolling a sum of 12 on a standard pair of six-sided dice? express your answer as a fraction or a decimal number rounded to? What elements make The Diary of a Young Girl by Anne Frank a memoir John and his wife are having trouble communicating and getting along with one another. which type of therapy is most likely to help them with their problems A 150-unit apartment complex is infested with rats. The apartment caretaker checked 9 units and found the following number of rats {2, 5, 3, 1, 0, 3, 7, 2, 2}. If the sample data is representative of the rat population, how many units in the entire apartment complex have 3 rats? In what way did the movement toward independence in India differ from that of Korea? India achieved independence much earlier than Korea. Korea achieved independence because Japan lost the war. India achieved independence when Britain entered the war. Korea fought a long and violent war for independence. What is something that multipys to 72 and adds -27? Conjecture for interior angles of complex polygons A brass wire is to withstand a tensile force of 350N without breaking? A brass wire is to withstand a tensile force of 350N without breaking. complete this statement 45ax^2+27 ax+18a=9a compare and contrast thomsons plum pudding model with rutherfords nuclear atomic model In the diagram below, an and bc are tangent to o. What is the measure of adc Steam Workshop Downloader