PLSS HELP ASAP. Which of the follow box-and-whisker plots correctly displays this data set?
24, 32, 25, 27, 37, 29, 30, 30, 28, 31, 27, 23
Answers
The five number summary is
Min = 23Q1 = 26Median = 28.5Q3 = 30.5Max = 37===========================================================
Further Explanation:
The original data set is {24, 32, 25, 27, 37, 29, 30, 30, 28, 31, 27, 23}
It sorts to {23, 24, 25, 27, 27, 28, 29, 30, 30, 31, 32, 37} when going from smallest to largest.
There are n = 12 items in this set. The median is found between slots 6 and 7 because n/2 = 12/2 = 6
Circle the items in slot 6 and slot 7 to highlight 28 and 29 in that order. The midpoint is (28+29)/2 = 57/2 = 28.5 which is the median.
Median = 28.5
---------------
Now break the set up into two pieces
L = {23, 24, 25, 27, 27, 28}
U = {29, 30, 30, 31, 32, 37}
L is the lower set below the median, U is the upper set above the median
The midpoint of L is (25+27)/2 = 26 and the midpoint of set U is (30+31)/2 = 30.5
This gives us Q1 = 26 and Q3 = 30.5 respectively
Q1 = first quartile
Q3 = third quartile
The min and max are simply the smallest and largest items of the set
min = 23
max = 37
------------------
We have this five number summary:
Min = 23Q1 = 26Median = 28.5Q3 = 30.5Max = 37These five items directly determine the positioning of the box and whiskers. No extra info is needed.
The min and max handle the tips of the left and right whiskers if we don't have any outliers. In this case, we don't have outliers so we can ignore this aspect.
The Q1 and Q3 handle the left and right edges of the box
The median (aka Q2) is the vertical line inside the box. It doesn't have to be at the center of the box. It's simply anywhere inside.
With all this in mind, the best match is choice D
The tip of the left whisker is at 23The left edge of the box is at 26The vertical line inside the box is at 28.5The right edge of the box is at 30.5The tip of the right whisker is at 37----------------------------------
In other words, we can eliminate the following
A) Because the right edge of the box for choice A is at 31 when it should be at 30.5B) The tip of the right whisker is at 35 when it should be at 37C) The tip of the left whisker is at 21 when it should be at 23Since A, B, and C are eliminated, the only thing left is choice D which matches all aspects of the five number summary above.
Related Questions
Simplify 2y + 1. + 5y +4
3y. 3y
Answers
Answer:
43y2+3 + 7y + 1
Step-by-step explanation:
i can not figure this question out someone help pls.
Answers
Answer:
228,5
Step-by-step explanation:
a=10
b=15
The area of rectangle:
S=a*b
S=10*15
S=150
The area of 2 halfcircles (1 circle):
d=10
r=d:2
r=5
S=πr²
S=3,14*5²
S=3,14*25
S=78,5
The area of the figure:
78,5+150=228,5
Calculate the length of a diagonal of a square with side each 7cm long
Answers
Answer:
[tex]7\sqrt{2} \ cm[/tex]
Step-by-step explanation:
Formula ………………………………………………
The length of a diagonal of a square with side of length “a” is :
[tex]a\sqrt{2}[/tex]
======================================================
Since a = 7 (in our case) then
[tex]\text{the length of the diagonal} =7\sqrt{2}[/tex]
Note : you can also use the Pythagorean theorem.
e. In a survey, it was found that the ratio of people who like tea and coffee is 9:8. If 25% liked tea and coffee both, 80 liked none of these and 20% liked tea only, find the total number of people participated in the survey.
Answers
Pls help me?!? The Punta Birds Taxi Association is a business that provides taxi services to the city of Punta Birds and surrounding communities. Last year, their gross income totaled $25,000. They are required to pay 1.75% business tax on their annual gross income. How much tax are they required to pay to the Government?
Answers
Answer:
$437.50
Step-by-step explanation:
The amount of tax is found by multiplying the tax rate by the amount being taxed.
__
0.0175 × $25,000 = $437.50
They are required to pay a business tax of $437.50.
A side of the triangle below has been extended to form an exterior angle of 141°. Find
the value of x.
Answers
Anthony wants to find out the percentage of students at his school who are vegetarians. Which of the following is the most representative group of students for him to surve
A. 50 students at a icecream parlor
B. 5 students at a icecream parlor
C. 50 students at a hamburger restaurant
D. 5 students at a hamburger restaurant
Answers
Answer:
I think c
Step-by-step explanation:
i might be wrong so dont trust my answer but i would've picked C
A bag containing...
Answers
i) 280/8000 x 6/1= 1680/8000 (simplify if needed)
ii) 1638/8000(simplify if needed)
iii) 2730/8000(simplify if needed)
I need some help answering this
Answers
Answer:
d
Step-by-step explanation:
sin angle (60) would have been equal to 0.5 or a 1/2
and cos angle(60) would have been equal to 0.86 then you'll say square by 3 over 2
Let me know if this answer can work
Best of Luck
Anyone know the value of x for these
Answers
Answer:
#3 : x = 12
#4 : x = 6
Step-by-step explanation:
Question 3:-
x^2 = 8(8+10)x^2 = 8(18)√(x^2) = √(144)x = 12Question 4:-
4(4+x)5(5+3)16+4x = 404x = 40-164x = 24x = 6please help me on this
Answers
Answer:
it is the answer on the top
What is the area of a triangle if the height is 9 and base is 11?
Answers
Answer:
49.5
Step-by-step explanation:
you multiply the height and base then divide that awnser by 2
How do I solve x - 6 1/2 = 3 2/3
Pls explain ur answer and how I can improve I’m having math finals
Answers
Answer:
10 1/6
Step-by-step explanation:
First, you need to turn all the mixed numbers into improper fractions. You do this by multiplying the whole number by the denominator, adding the numerator, and then putting that number over the denominator.
So, 6 1/2 would become (6(2) + 1)/2 = 13/2. And 3 2/3 would become (3(3) + 2)/3 = 11/3.
Then, you can rewrite your equation using the improper fractions:
x - 13/2 = 11/3
Then, add 13/2 to both sides since it is being subtracted:
x = 13/2 + 11/3
Add the fractions by multiplying the denominators of each by the fraction of the other:
3(13/2) = 39/6
2(11/3) = 22/6
Add the fractions:
39/6 + 22/6 = 61/6
Simplify the fraction:
10 1/6
Answer:
10 1/6 or [tex]10\frac{1}{6}[/tex]
Step-by-step explanation:
The BEST, BASIC, FAST trick to find x in these situtations
If you have to find x in a question which is having Subtraction, then you add what number was being subtracted or what was subtracting the x or variable with the ending result. If you're doing addition, then you do subtraction in the same way.
Multiplication -> Division
Divisioin -> Multiplication
these 2 also in the same way!
Why do to do this?
Because when we will add that number with the final result, then we will get what is x, since x-that number = the last number. Try to understand, it's pretty hard to explain.
Now, solving the problem!
[tex]6\frac{1}{2} +3\frac{2}{3} =\\\\6\frac{3}{6} +3\frac{4}{6} =\\\\10\frac{1}{6}[/tex]
So your answer is 10 1/6 or [tex]10\frac{1}{6}[/tex]
Thanks!
I hope I could help!
:D
\frac { x } { x - 2 } + \frac { x - 1 } { x + 1 } = - 1
I cant firgure it out
Answers
[tex]\huge{\color{magenta}{\fbox{\textsf{\textbf{Answer}}}}}[/tex]
x = -1
Step-by-step explanation:
[tex] \sf\frac{x}{x - 2} + \frac{x - 1}{x + 1} = - 1[/tex]
Taking LCM
[tex] \sf \hookrightarrow \frac{x(x + 1) + (x - 1)(x - 2)}{(x - 2)(x + 1)} = - 1 \\ \\ \sf \hookrightarrow \frac{ {x}^{2} + x + {x}^{2} - 3x + 2 }{ {x}^{2} - x - 2} = - 1 \\ \\ \sf \hookrightarrow \frac{2 {x}^{2} - 2x + 2 }{ {x}^{2} - x - 2 } = - 1[/tex]
Cross multiplying
[tex] \sf \hookrightarrow 2 {x}^{2} - 2x + 2 = - 1( {x}^{2} - x -2) \\ \\ \sf \hookrightarrow 2 {x}^{2} - 2x + \cancel2 = - {x}^{2} + x + \cancel2 \\ \\ \sf \hookrightarrow 3 {x}^{2} - 3x = 0[/tex]
Taking 3 common
[tex] \sf \hookrightarrow {x}^{2} - x = 0 \\ \\ \sf \hookrightarrow x(x - 1) = 0 \\ \\ \sf \hookrightarrow x - 1 = 0 \\ \\ \\ \green{\boxed{ \hookrightarrow x = 1}}[/tex]
VerifyingTaking x as 1
[tex] \sf \implies\frac{x}{x - 2} + \frac{x - 1}{x + 1} = - 1 \\ \\ \sf \implies \frac{1}{1 - 2} + \frac{1 - 1}{1 + 1} = - 1 \\ \\ \sf \implies - 1 + 0 = - 1 \\ \\ \sf \implies - 1 = - 1[/tex]
What is the value of x?
29
12
7.3
25.2
Answers
Answer:
25.2
Step-by-step explanation:
Secant-Tangent Formula:
(whole secant) x (external part) = (tangent)^2
(41+12) * 12 = x^2
( 53) * 12 = x^2
636= x^2
Taking the square root of each side
sqrt(636) = x
25.2=x
Answer:
25.2
Step-by-step explanation:
This is an intersection of a tangent and a secant.
Ming made 7 batches of muffins. She used 1.75 pounds of apples per batch. How many pounds of apples did Ming use to make all the muffins? 11.5 pounds 12.25 pounds 9 pounds 4 pounds
Answers
Answer:
12.25
Step-by-step explanation:
Multiply the pounds of apples by the batches.
1.75×7=12.25
Find the perimeter of the parallelogram whose vertices are A (-1,1), B (-9,6), C(-12,11) and D(-4,6) Give your answer correct to one decimal place
Answers
Answer: 30.5
Step-by-step explanation:
I need help please. It will really help me
Answers
Answer:
x = 15
∠AOB = 15°
∠BOC = 165°
Step-by-step explanation:
Angles on a straight line add up to 180°
[tex]\sf \implies \angle AOB + \angle BOC=180[/tex]
Substitute the given expressions for the angles:
[tex]\sf \implies (2x - 15) + 11x = 180[/tex]
Collect and combine like terms:
[tex]\sf \implies 2x +11x- 15=180[/tex]
[tex]\sf \implies 13x- 15=180[/tex]
Add 15 to both sides:
[tex]\sf \implies 13x- 15+15=180+15[/tex]
[tex]\sf \implies 13x=195[/tex]
Divide both sides by 13:
[tex]\sf \implies \dfrac{13x}{13}=\dfrac{195}{13}[/tex]
[tex]\sf \implies x=15[/tex]
Now substitute the found value of x into the expressions for each angle:
[tex]\sf \implies \angle AOB =2(15)-15=15^{\circ}[/tex]
[tex]\sf \implies \angle BOC =11(15)=165^{\circ}[/tex]
HELPPPPP this is 7TH grade math and I’m confused
Answers
Answer:
35 minutes
Step-by-step explanation:
The total time he walked for last week is
10 * 5 = 50 minutes
Subtract 225 by 50 to find the total time he spend for swimming
225-50 = 175 minutes
Divide 175 by 5 to find the time taken for swimming on each day
175/5 = 35 minutes
The equation d = 11 cosine (startfraction 8 pi over 5 endfraction t) models the horizontal distance, d, in inches of the pendulum of a grandfather clock from the center as it swings from right to left and left to right as a function of time, t, in seconds. according to the model, how long does it take for the pendulum to swing from its rightmost position to its leftmost position and back again? assume that right of center is a positive distance and left of center is a negative distance.
Answers
The time that is taken for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds
Calculations and Parameters:Given that this is a cosine equation,
At maximum, Cos (0) =1
At minimum, Cos (π) = -1.
Hence,
At the maximum:
8π/5 t = 0t = 0At the minimum:
8π/5 t = πt = 5/8t = 0.625Given that the time taken from max to min is 0.625 and also to min to max is also 0.625,
The total time taken would be:
0.625 + 0.625 = 1.25s
Read more about equations here:
https://brainly.com/question/2972832
#SPJ4
PLEASE HELP ME WITH THIS QUESTION
Answers
Answer:
75582
Step-by-step explanation:
The order of the correct problems does not matter, so the number of ways 8 of 19 problems can be correct is the number of combinations of 19 things taken 8 at a time:
C(n, k) = n!/(k!(n-k)!)
C(19, 8) = 19!/(8!(11!)) = 75582
Write a formula for function h in terms of function f.
Answers
Answer:
h(x) = f(x - 12) - 4
Step-by-step explanation:
y = f(x) (-6, 11)
⬇️ ⬇️
y - h(x) (6, 7)
so h(x) = f(x - 12) - 4
Hope this helps and have a nice day
Which set of ordered pairs represents the points on this graph?
A. {(-2, -3), (-1, 5), (1, 3), (2, 5), (3, -2)}
B. {(-3, -2), (-1, 4), (1, 3), (2, 5), (3, -2)}
C. {(-2, -3), (-1, 4), (3, 1), (2, 5), (-2, 3)}
D. {(-2, -3), (-1, 4), (1, 3), (2, 5), (3, -2)}
Answers
Answer:
option D
Explanation:
To know the x coordinates see the value on the x-axis.To know the y coordinates see the value on the y-axis.Identify coordinates from the graph:
a) (3, -2)
b) (-2, -3)
c) (1, 3)
d) (2, 5)
e) (-1, 4)
All of these coordinates fall under option D
Answer:
D
Step-by-step explanation:
Let's find the coordinates of the plotted points (from left to right) :
Point 1 (x = -2, y = -3) ⇒ (-2, -3)Point 2 (x = -1, y = 4) ⇒ (-1, 4)Point 3 (x = 1, y = 3) ⇒ (1, 3)Point 4 (x = 2, y = 5) ⇒ (2, 5)Point 5 (x = 3, y = -2) ⇒ (3, -2)The listed points are given in option D
Find the nth term of the following sequence:
5, 20, 45, 80, 125
Answers
Answer:
So, 5, 20, 45, 80,...5N2
Step-by-step explanation:
Divide the sequence by 5 and the answer becomes very obvious:
EX: 1, 4, 9, 16,...N2
2nd difference 2a = 10
a = 5
1st difference 3a+b = 15
substitute 5 into a
3(5)+b = 15
b = 0
nth term rule : a + b + c = 5
substitute a and b values into equation
5 + 0 + c = 5
c = 0
nth term : 5n^2
What is the range of this data set? {37, 38, 44, 32, 40, 33, 29, 33, 36}
15
29
33
36
Answers
Answer:
Range is 15
Step-by-step explanation:
1. Organize from least to graetest:
29, 32, 33, 33, 36, 37, 38, 40, 44
2. Find the largest and the smallest numer:
29 and 44
3. Subtract:
44
-29
=15
Answer:
its 15
Step-by-step explanation:
i just need da points
A catalog with 625 pages has 6 pages with tables.
What percent of the pages have tables?
0.16%
0.96%
1.28%
1.92%
Answers
Answer:
0.96%
Step-by-step explanation:
We are looking for the percent that represents "6 out of 625"
Divide to find the decimal answer:
6/625 means
6 ÷ 625
= 0.0096
Then multiply by 100 to change to a percent.
0.0096 × 100
= 0.96%
40 points!!! Triangle ABC is transformed to create Triangle A’B’C’, what type of rigid transformation is this?
Answers
Answer:
Reflection
Explanation:
This is a reflection because A B and C and A' B' C' are at the same points in their quadrants. A' B' C' is flipped over the X-Axis
Answer:
reflection about the x -axis
Step-by-step explanation:
Mirror line is the x-axis for this translation
what is 2.25 x 9 i cant find it loololllooll
Answers
Answer:
20.25
Step-by-step explanation:
Answer: [tex]9[/tex] [tex]is[/tex] [tex]your[/tex] [tex]answer :)[/tex]
Step-by-step explanation:
Write the problem as a mathematical expression.
2.25 x 9
The degree is the largest exponent on the variable.
9
Your answer should be (9)
Suppose you roll two number cubes. What is the probability of getting:
a. exactly one cube showing an even number?
b. at least one cube showing an even number?
c. two values that have a sum of at least 7?
Answers
Answer:
are a, b, and c the options or are they different questions?
demi had $170 in her bank account at the beginning of the month and $125 at the end of the month.
Each time she eats lunch in the cafeteria, $5 is deducted from her account.
How many times, x, did Demi eat lunch in the cafeteria this month? (No other deductions or deposits were made