The data from a dot plot can be analyzed to find the five number summary, from which a box plot can be constructed
The correct option for the details of the box plot that represents the dot plot data is;
Box plot titled ACT Score with a minimum of 18, quartile 1 of 21, median of 22, quartile 3 of 23, and maximum of 25
The process of deriving the five number summary of the box plot above is as follows;
Known:
The data from the dot plot can be expressed in increasing order for analysis of a box plot as follows;
18, 19, 19, 19, 21, 21, 21, 21, 22, 22, 22,22, 23, 23, 23, 24, 24, 25
The number of data points in the statistics, n = 18
Unknown:
The five number summary
Method:
Finding the five number summary as follows;
The minimum value = 18
The maximum value = 25
The first quartile, inclusive of the median Q₁ = The middle number of the lower half {18, 19, 19, 19, 21, 21, 21, 21, 22} = The (9 + 1)/2 th term∴ Quartile 1 = Q₁ = 5th term = 21
The second quartile, Q₂ = The median (the middle number) = (22 + 22)/2 = 22 = Quartile 2Quartile 2 = 22
The third quartile = The middle number of the upper half {22, 22,22, 23, 23, 23, 24, 24, 25} = Quartile 3 = 23Quartile 3 = 23
Combining the above 5 number summary, the correct option for the box plot representing the dot plot data, is therefore;
Box plot titled ACT Score with a minimum of 18, quartile 1 of 21, median of 22, quartile 3 of 23, and maximum of 25
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Divide: −5/8÷12 Enter your answer as a fraction in simplest form, like this: 42/53
Step-by-step explanation:
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Solve by factoring
6x^2 +13x -28 =0
Answer:
x=-7/2, x=4/3
Step-by-step explanation:
[tex]6x^2+13x-28=0[/tex]
Multiply 6 and -28 to get -168
Find 2 numbers that multiply to 168 but add to 13
They are 21 & -8
Rewrite the equation into:
[tex]6x^2+21x-8x-28=0[/tex]
Factor
[tex]3x(2x+7)-4(2x+7)=0[/tex]
(3x-4)(2x+7)=0
3x=4
x=4/3
2x=-7
x=-7/2
PLZ help me out with this
Answer:
diving the angle into two congruent angles
Step-by-step explanation:
bisecting an angle means dividing the angle into two equal parts
I need help right away ASAP!!!Please help me please finding the missing angle
[tex]\\ \sf\longmapsto tan\Theta=\dfrac{P}{B}[/tex]
[tex]\\ \sf\longmapsto tan40=\dfrac{48}{x}[/tex]
[tex]\\ \sf\longmapsto 0.8=\dfrac{48}{x}[/tex]
[tex]\\ \sf\longmapsto 0.8x=48[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{48}{0.8}[/tex]
[tex]\\ \sf\longmapsto x=60[/tex]
Answer:
x = 57.2
Step-by-step explanation:
first : the third angle is (the sum of all angles in a triangle is always 180 degrees) : 180 - 90 - 40 = 50 degrees.
law of sines :
x/sin(50) = 48/sin(40)
x = 48 × (sin(50)/sin(40)) = 57.2
5^5 over 5^8
simplify
Step-by-step explanation:
5⁵/5⁸
= 5^5-8
= 5^-3
or
(-5)×(-5)×(-5)
= -125
By the law
a^m÷ a^n = a^m-n
Solve for x: 2(3x + 4) - 3(x - 1) = x - 1
Answer:
x=-113
Step-by-step explanation:
2(3x+4)−3(x−1)=x−1x
Step 1: Simplify both sides of the equation.
2(3x+4)−3(x−1)=x−1x
(2)(3x)+(2)(4)+(−3)(x)+(−3)(−1)=x+−1x(Distribute)
6x+8+−3x+3=x+−x
(6x+−3x)+(8+3)=(x+−x)(Combine Like Terms)
3x+11=0
3x+11=0
Step 2: Subtract 11 from both sides.
3x+11−11=0−11
3x=−11
Step 3: Divide both sides by 3.
3x3=−113
x=−113
Answer:
x=−113
Use the parabola tool to graph the quadratic function f(x)=(x−5)2+1 . Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Answer:
Vertex (5, 1)
Example of second point (4, 2)
Step-by-step explanation:
THe equation given is in vertex form so it will be easy to find the vertex
(x-5)^2+1
Vertex is at h,k and vertex form is y = a(x−h)^2 + k
x coordinate will be 5
y coordinate will be 1
vertex - (5, 1)
You can plot a second point by plugging in any number into the x or y
For example, if you set x to be 4,
(4-5)^2+1
1^2+1
1+1=2
made this question as soon as possible
Answer:
Step-by-step explanation:
x = 52°
Which of the following represents a function
Answer:
D
Step-by-step explanation:
A has -1 going to two different y values so it is not a function
B has x = -1 going to two different y values so it is not a function
C has the input of 3 going to two different y values so it is not a function
D each input goes to only 1 output so it is a function
Hey there! I believe the answer would be choice D. because it is the only choice that has one input for each output.
Hope this helps!
Have a wonderful day!
What is 4,328.12 in expanded form?
Please help me ill give brainliest!!
Answer:
3744.64
Step-by-step explanation:
To know the answer to this question you need to know the formulas to find the volume of the cylinder and the rectangular prism. The volume of a cylinder is pi*r^2*h while the volume of the rectangular prism is l*w*h. The cylinder is 1808.64 cubic in while the rectangular prism is 1936 cubic. Together, they are 3744.64 cubic in.
Answer:
cylinder= A=πr²h
=3.14×4²×9
=452.16
rectangle=A=l×w×h
=19×11×11
=2299
total area=452.16+2299
=2751.16
Step-by-step explanation:
What is the measure of \angle x∠xangle, x?
Angles are not necessarily drawn to scale.
Answer:
74 degrees
Step-by-step explanation:
You can see this is a supplementary angle, which means that it is a straight line with a line sticking out. This means the two angles add up to 180 degrees, so 180 - 106 = 74, which is your answer.
Answer:
x = 74°
Step-by-step explanation:
x + 106 = 180 {linear pair}
Subtract 106 from both sides
x = 180 - 106
x = 74°
Question 1 of 10
What was part of President Johnson's plan for Reconstruction?
O A. Land for freedmen
B. Pardons for Confederate leaders
C. Pardons for carpetbaggers
D. Voting rights for freedmen
Joelvin
Answer:
B
Step-by-step explanation:
Pardons for Confederate leaders
Someone please help fasttt!!
Answer:
the slope is -1/4 throughout the line.
Step-by-step explanation:
the slope of a line never changes anywhere on the line. otherwise it would not be a line.
the slope is expressed by the ratio y/x indicating how many units y changes, when x changes by a certain number of units.
and in this graphic, when x changes 4 units to the right (positive), y changes 1 unit down (negative).
therefore -1/4
Answer:
3rd option
Step-by-step explanation:
The line has the same slope over the whole line
Calculate slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = O (0, 0) and (x₂, y₂ ) = B (- 12, 3)
m = [tex]\frac{3-0}{-12-0}[/tex] = [tex]\frac{3}{-12}[/tex] = - [tex]\frac{1}{4}[/tex]
The slope is - [tex]\frac{1}{4}[/tex] throughout the line
Can you help me on 19?
Answer:
7+k=0
7-0=k
k=7
Step-by-step explanation:
7+k=0
7-0=k
k=0
Please help explanation if possible
Step-by-step explanation:
Y=
[tex]y = 10 - 8x \\ put \: this \: in \: the \: second \: equation \\ 2(10 - 8x) - 4x = 40 \\ 20 - 16x - 4x = 40 \\ 20 - 20x = 40 \\ - 20 = 20x \\ x = - 1 \\ put \: the \: value \: of \: x \: in \: th \: first \: equation \\ y = 10 - 8( - 1) \\ y = 10 + 8 \\ y = 18[/tex]
Hence, x=-1 and y=18
Answer:
(- 1, 18 )
Step-by-step explanation:
Given the equations
y + 8x = 10 ( subtract 8x from both sides )
y = 10 - 8x → (1)
2y - 4x = 40 → (2)
Substitute y = 10 - 8x into (2)
2(10 - 8x) - 4x = 40 ← distribute and simplify left side
20 - 16x - 4x = 40
20 - 20x = 40 ( subtract 20 from both sides )
- 20x = 20 ( divide both sides by - 20 )
x = - 1
Substitute x = - 1 into (1) for corresponding value of y
y = 10 - 8(- 1) = 10 + 8 = 18
solution is (- 1, 18 )
13 = 2m + 5
whats m?
Answer:
M is 4
Step-by-step explanation:
in order to solve, 13=2m+5, you need to subtract 5 from both sides.
13=2m+5
-5 -5
Which is,
8=2m, then you divide both sides by 2. That gives you, 4=m. Therefor, m is 4.
Need help with this VOCAB ASAP!!!PLEASE MAKE SURE U KNOWN ITS RIGHT
Answer:
inscribed polygon
congruent
hope that helped :)
3. What is height of the cylinder?
Answer:
16
Step-by-step explanation:
When the hypotenuse is given, you can use this formula to solve for the leg
b = root c^2 - a^2
b = root 20^2 - 12^2
b = 16 in
Hope this helps!
Select the correct answer.
What is the value of x in the figure?
X
400
700
A. 40°
B. 70°
C.80°
D. 120°
E. 150°
Answer: x = 150
Step-by-step explanation:
See the liner pair of angle 70 will be 110 degrees.
Then using angle sum property third angle will be
Third angle = 180 - 150
Third angle of the triangle = 30
Now linear pair of the 30 degree angle
30+x = 180
x = 180-30
x = 150
Therefore answer is option e x = 150.
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The measure of the value of angle x is 150°, and the correct option is E
What is the linear pair of angles?Linear pair of angles are formed when two lines intersect each other at a single point.
The angles are said to be linear if they are adjacent to each other after the intersection of the two lines.
BY applying linear pair angles;
[tex]\rm \angle 1+\angle 2=180\\\\70 +\angle 2=180\\\\ \angle 2=180-70\\\\ \angle 2=110\\\\[/tex]
The sum of the three angles is 180.
[tex]\rm \angle 1+\angle 2+ \angle 3=180\\\\ 110+40 +\angle 3=180\\\\150+\angle 3= 180\\\\\angle 3=180-130\\\\\angle 3=30[/tex]
The measure of the value of angle x is;
[tex]\rm 30+x = 180\\\\x = 180-30\\\\x = 150[/tex]
Hence, the measure of the value of angle x is 150°, and the correct option is E.
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X = [?]°
Dr.
X Х
As
140°
B
C
Answer:
40°
Step-by-step explanation:
x+140=180°(angle on a straight line)
x=180-140
x=40°
∠DBA and ∠DBC are making linear pair.
Linear pair of angles are formed when two lines intersect each other at a single point.
The sum of angles of a linear pair is always equal to 180°[tex] \rm \large\longrightarrow \: \: x \: + \: 140 \degree \: = \: 180 \degree[/tex]
[tex]\rm \large\longrightarrow \: \: x \: = \: 180 \degree \: - \: 140 \degree \: [/tex]
[tex]\rm \large\longrightarrow \: \: x \: = \: 40 \degree[/tex]
Which regular polygon can be used to form a tessellation?
I need help
Answer: Option 4 (Hexagon)
Step-by-step explanation:
A equilateral triangle, square and hexagon can be used to form a tessellation.
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Which table has a constant of proportionality between y and x of 8/5
Answer:
A.) is my best guess
Step-by-step explanation:
Two angles together form a straight line, which is 180 degrees. Both angles are congruent. What do they measure?
O 180 degrees
O 90 degrees
O There's no way to tell.
Answer:
90 degrees
Step-by-step explanation:
Two angles form a straight line which is 180 degrees.
The two angles are congruent ( or equal to each other )
Let x = measure of one of the angles.
180 = 2x
Divide both sides by 2
180/2 = 90
2x / 2 = x
x = 90
The measure of both angles are 90 degrees
Answer:
It’s 90
Step-by-step explanation:
Sorry I’m in a hurry right now sorry if I didn’t give you the explanation I’m running while typing this
I need help right now PLEASE!! !Please explain your answer
Answer:
Step-by-step explanation:
Rewrite the fraction with the indicated denominator
Answer:
170
Step-by-step explanation:
17/7
Multiply the top and bottom by 10
17*10/ 7*10 =170/70
The fraction with the indicated denominator 70 is [tex]\frac{170}{70}[/tex].
The given fraction is[tex]\frac{17}{7}[/tex].
Convert the fraction with a denominator of 70.
To do this, multiply the numerator and denominator by 10:
[tex]\frac{17}{7} \times \frac{10}{10}[/tex]
[tex]=\frac{17 \times 10}{7 \times 10}[/tex]
[tex]=\frac{170}{70}[/tex]
Hence, the fraction with the indicated denominator 70 is [tex]\frac{170}{70}[/tex].
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You invested $8,307 into stocks of a company which
were priced at $13.71/sh. How many shares did you
purchase?
Answer:
606 shares
Step-by-step explanation:
Number of shares= (Total money spent)/(Each share price)
Number of share=(8307)/13.71=605.9≈606
For several weeks, the function f(x) = 3(4) * represented the number of birds infected with an illness x weeks after the first birds became sick. How did the number of sick birds change each week?
Answer:
Step-by-step explanation:
The number of sick birds grew by a factor of 4 each week. In other words, the number of sick birds quadrupled each week.
given m||n find the value of x
Answer:
x = 127
Step-by-step explanation:
The angles are alternate exterior angles and alternate exterior angles are equal when the lines are parallel
x = 127
I NEED HELP ASAP!!!PLEASE EXPLAIN THE ANSWER
Answer:
Below
Step-by-step explanation:
To find surface area, you can just find the area of each side and add them up!
11 ft x 9 ft x 2 = 198 ft^2 (this is the surface area of the front and back)
12 ft x 9 ft x 2 = 216 ft^2 (this is the surface area of the sides)
12 ft x 11 ft x 2 = 264 ft^2 (this is the surface area of the top and bottom)
Surface area = 198 + 216 + 264
= 678 ft^2
Hope this helps! Best of luck <3
