Which set of numerical values represents the minimum, lower quartile, median, upper quartile, and maximum, in that order, of the box plot of this data set?

51, 51, 53, 53, 54, 55, 55, 56, 58, 58, 58, 59, 60

It will take about 5 years for her investment to grow to $2400.

The formula for calculating the compound amount is expressed according to the equation;

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Substitute the given parameters into the formula to have:

[tex]2400=1600(1+\frac{0.08}{12} )^{12t}\\1.5=(1+0.00667)^{12t}\\[/tex]

Take the natural logarithm of both sides

[tex]ln(1.5)=12tln(1.00667)\\12t=\frac{ln(1.5)}{ln(1.00667)}\\t = \frac{0.4054}{0.07977}\\t= 5.082years[/tex]

Hence it will take about 5 years for her investment to grow to $2400

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Answer:

It's D. 53.1°

Step-by-step explanation:

Answer:

2/12 5/8 8/10

Step-by-step explanation:

I hope this helps!!!

2/12 = 0.16

5/8 = 0.625

8/10 = 0.80

The equation showing the relationship between w and t is [tex]w = 4t[/tex]

From the table, we have the following points:

(0,0) and (1,4)

Start by calculating the slope (m)

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{4 -0}{1 -0}[/tex]

Simplify the numerator and the denominator

[tex]m = \frac{4}{1}[/tex]

Divide 4 by 1

[tex]m = 4[/tex]

The equation is then calculated as:

[tex]w = m(t - t_1) + w_1[/tex]

This gives

[tex]w = 4(t - 0) + 0[/tex]

Simplify

[tex]w = 4t[/tex]

Hence, the equation is [tex]w = 4t[/tex]

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Answer:

No, it's not a solution

Step-by-step explanation:

Solve by plugging in the values x=-2 and y=2 that are from your point (-2,2):

y<3x+2    

2<3(-2)+2          

2<-4 This inequality is false, so no, it's not a solution

Answer:

not a solution

Step-by-step explanation:

y<3x+2

2<3(-2)+2..........plug in values

2<-6+2................multiply

2<-4......................add

2<-4 is false

=======================================================

Explanation:

Refer to the drawing below. Locate 5 on the y axis. Draw a horizontal line extending as far as you can to the left and right.

This horizontal line crosses the parabola in two locations. From those two locations, drop a vertical line straight down until you reach the x axis. You should reach x = -4 and x = -6

This shows that f(-4) = 5 and f(-6) = 5.

Phrased another way: the points (-4,5) and (-6,5) are on the parabola.

Answer:

18 glue sticks are left.

Step-by-step explanation:

There are 5 glue sticks in each pack which means you multiply. 4*5=20. The class uses 2 glue sticks so 2 are removed. 20-2=18. i hope this helped !!! :) <3 !!

Step-by-step explanation:

15 = 6 + 2(n-3) + 3n

or, 15 = 6 + 2n - 6 + 3n

or, 15 = 6 - 6 + 2n + 3n

or, 15 = 0 + 5n

or, 15 = 5n

or, 15/5 = n

or, 3 = n

;- n = 3.....

I Hope that this will Help you...!!!

-8 + x >= 9

Solve for x by adding 8 to both sides:

X >= 17

p=49 1/2 that's the answer i got you lil guy

Answer:

-1 / 2.

Step-by-step explanation:

The Slope of a line when given two points:

First establish the two points as (X1, Y1) and (X2,Y2)

you can decide which point is (X1, Y1) and which point is (X2,Y2) in any order

So I choose (X1, Y1) = (-10,1) and (X2,Y2) = (0,-4)

Next use this equation to find the difference in rise/run (rise over run): (Y2 - Y1) / (X2 - X1)

Now we're ready to solve by plugging in our points: ( (-4) - 1 ) / ( 0 - (-10) ) **DON'T FORGET negatives attached to numbers when plugging in**

Solve: (-5) / 10 = -5 / 10 or -1 / 2 reduced by taking out a 5 from top and bottom. So your slope is equal to -1 / 2.

Answer:

-1/2

Step-by-step explanation:

Answer:

y=-6/5x-8

Step-by-step explanation:

Because you know the slope of the line, you can put it into the slope-intercept form equation:

y=-6/5(x) +b

Then plug in the x and y values which are -5 and -2:

-2=-6/5(-5) +b

Now you can solve for b:

-2=6 +b

-8=b

Now that you know b and already have the slope, plug those into the equation:

y=-6/5x -8

Answer:

101,100

280

Here's your answer

Answer:

[(x + 6), (y + 1)]

Step-by-step explanation:

Vertices of the quadrilateral ABCD are,

A → (-5, 2)

B → (-3, 4)

C → (-2, 4)

D → (-1, 2)

By reflecting the given quadrilateral ABCD across x-axis to form the image quadrilateral A'B'C'D',

Rule for the reflection of a point across x-axis is,

(x, y) → (x , -y)

Coordinates of the image point A' will be,

A(-5, 2) → A'(-5, -2)

From the picture attached, point E is obtained by translation of point A'.

Rule for the translation of a point by h units right and k units up,

A'(x+h, y+k) → E(x', y')

By this rule,

A'(-5 + h, -2 + k) → E(1, -1)

By comparing coordinates of A' and E,

-5 + h = 1

h = 6

-2 + k = -1

k = 1

That means

Rule for the translation will be,

[(x + 6), (y + 1)]

For the given graph, the translation rule is (x, y) ⇒ (x+(-4), y+(-4))

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph.

The graphs can be translated or moved about the xy-plane

After point D is reflected across the y-axis, its coordinates are

D(-1, 2) ⇒ D'(1, 2)

This is the point that gets translated to F(-3, -2). The translation is

F -D' = (-3, -2) -(1, 2)

= (-3-1, -2-2)

= (-4, -4)

Then the translation rule is (x, y) ⇒ (x+(-4), y+(-4))

Hence, for the given graph, the translation rule is (x, y) ⇒ (x+(-4), y+(-4))

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Answer:

5

Step-by-step explanation:

Hope this helps

Answer:

(8,5)

Step-by-step explanation:

x=8

5*8-2y=30

40-2y=30 .      subtract 40 from both sides

-2y=-10 .           divide both sides by-2

y=5

Answer:

270 degrees counterclockwise rotation/ the last answer

Step-by-step explanation:

reflection over the y axis wouldn't work bc the shape would still be a horizontal rectangle

dilation would change the size of the shape

and translation wouldn't map it correctly bc it would still be turned the wrong way

Answer:

270 degrees counterclockwise rotation

Step-by-step explanation:

you can use the formulas, but if you don't know them you can always draw

270 degrees counterclockwise = 90 degrees clockwise

(x,y) -> (y,-x)

A'(1,-2) -> A(-2,-1)

B'(3,-2) -> B(-2,-3)

C'(3,-5) -> C(-5,-3)

D'(1,-5) -> D(-5,-1)

Answer:

$2,710.64

Step-by-step explanation:

Divide 43,720 by 100 so you know how many groups of 200s you have. Because it's 6.20 for each 100.

437.2

Do 6.20 times 437.2 to get your answer.

$2,710.64

Answer:

B) Obtuse scalene

Step-by-step explanation:

Angle of 122 > 90 so it's obtuse

7.3≠2.9≠5.3 so it's scalene

Answer:

b

Step-by-step explanation:

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z (-_-)

Answer:

The first one:

Equation n+(n+1) +(n+2)=36

3n+3=36

the numbers are 11, 12,13

Step-by-step explanation:

So if you plug ll for n you get 36

So if you plug 12 in for in u get 39

Then in you plug 13 in for n u get 41

I hoped that helped

Answer: First option

The numbers are 11, 12, 13

11+12+13 = 36

===============================

Explanation:

Here's one way to solve for n

n+(n+1)+(n+2) = 36

3n+3 = 36

3n = 36-3

3n = 33

n = 33/3

n = 11

That leads to n+1 = 11+1 = 12 and n+2 = 11+2 = 13

So the three numbers are 11,12,13

11+12+13 = 23+13 = 36 which confirms the answer

-------------

For the second option, it's not clear how the student got n = 15. If I had to guess, they probably divided both sides by 3, then added 3 to both sides.

As a quick check, 15+16+17 = 31+17 = 48 which doesn't match up with the 36.

Or you could note that the units digits add to 5+6+7 = 11+7 = 18. That 8 doesn't match with the 6 in 36. So this is an even quicker way to rule out the second option.

Answer:

25π

Step-by-step explanation:

1) for whole circuit: A=π*r², where r - radius of the given circle;

2) for a quater of the circuit: A=πr²/4;

3) finally, A=π*100/4=25π.

Answer:

127 is the IQR.

Step-by-step explanation:

C: 4

IQR (interquartile range) can be found by subracting Q1 from Q3 (Q3 - Q1)

Reposting because Katie from the Brainly staff seems to think simple subtraction is a violation of community guidelines ¯\_(ツ)_/¯

Answer:

k

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Arc YZ and angle YXZ must add up to 180. You can review your notes, and you will probably find an identity that relates to this. But I will prove this using quadrilaterals, mainly, well, because I forgot what the identity was.

Lets call the center of the circle O. Angles XYO and XZO must be 90 degrees since they are tangent to the circle. These angles add up to 180, leaving the two remaining angles, who also must add up to 180. Therefore, the angle YOZ, and YXZ, must add up to 180. Note that angle YOZ is equal to arc YZ.

In our case, angle YOZ is 125 degrees given by the arc YZ, and the angle of YXZ is 6x-11. We can set up an equation like this:

YXZ+YOZ=180

6x-11+125=180

Simplify

6x+114=180

Solve

6x=66

x=11

Therefore, our value of x is 11 and the angle YXZ is 55 degrees.

Answer:

3 you welcome

Step-by-step explanation:

Answer:

2,663 cm3

Step-by-step explanation:

Answer:2.4 or 12/5

Step-by-step explanation:  (4 4/5)/2 = 2.4

It should b noted that the main things that should be included on the outline for an argument include the introduction, body, and conclusion.

The introductory paragraph outlines the topic and provides background information that is important for the readers to understand the argument.

The body paragraphs explain the reasons that support the thesis. It clearly explains why the reader should agree with the position stated.

Lastly, the conclusion restates the thesis and then summarizes the arguments made.

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Answer:

You can use outline details for each topic and subtopic in your paper organizing, these points so that they can build your argument toward an evidence-based conclusion. Writing an outline will also help you focus on the task at hand and avoid unnecessary tangents, logical fallacies, and underdeveloped paragraphs so you can identify the research problem.

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Answer:

  A  f(x) = x/((x+5)(x-2))

Step-by-step explanation:

The vertical asymptotes at +2 and -5 indicate that (x -(+2)) and (x -(-5)) are factors of the denominator.

The zero at x=0 indicates (x -0) is a factor of the numerator.

The simplest function that will give a graph like this is ...

  f(x) = x/((x +5)(x -2))

Answer:

Ralph's speed is 2 miles in 24 minutes.

(Unit rate, Ralph runs 1 mile in 12 minutes)

Step-by-step explanation:

4 divided by 2 is 2 (miles)

2/5 of an hour is 24 minutes (60/5=12+12=24)