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
Match the real-world situation with the appropriate algebraic expression. Mary is 2 years younger than her sister Claire. x/2 Monday is half-price movie day. 3x Each topping costs an additional $3. x-2 ←
Answers
Answer:
Step-by-step explanation:
A is 3 You have to minus Clares age by two to get Mary's age
B is 1 You have to divide the price in half
C is 2 the only one left
A small class has 10 students, 6 of whom are girls and 4 of whom are boys. The teacher is going to choose two of the students at random. What is the probability that the teacher will choose two girls? Write your answer as a fraction in simplest form.
Answers
Answer:
2
5
Step-by-step explanation:
fraction of girls in the class is 6
5
so........the total number of girls is 6 and only 2 are chosen,meaning you have to subtract 2 from 6 which is 4 and then 4
10(total number of students) is
2
5 when simplified
Beth took out a loan at an annual compound interest rate of 30%.After 2 years she owes a total of £8112.What was the original amount that Beth Borrowed.Give your answer to the nearest £1
Answers
now, we don't have a compounding period above, so we're assuming the amount is compounding annually.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\pounds 8112\\ P=\textit{original amount deposited}\\ r=rate\to 30\%\to \frac{30}{100}\dotfill &0.30\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases}[/tex]
[tex]8112=P\left(1+\frac{0.30}{1}\right)^{1\cdot 2}\implies 8112=P(1.3)^2\implies \cfrac{8112}{1.3^2}=P\implies 4800=P[/tex]
19. Solve for the angle x.
sin²(2x) = 1
Answers
Answer: Е
Step-by-step explanation:
▪︎ a^2 - b^2 = (a-b)(a+b)
sin^2(2x) = 1
sin^2(2x) - 1 = 0
(sin2x - 1)(sin2x + 1) = 0
sin2x - 1 = 0 or sin2x + 1 = 0
sin2x - 1 = 0
sin2x = 1
2x = 90° + 360°n
x = 45° + 180°n
▪︎180° means half of the unit circle, therefore,
x = 45° + 360°n and
x = 45° + 180° + 360°n = 225° + 360°n
sin2x + 1 = 0
sin2x = -1
2x = 270° + 360°n
x = 135° + 180°n
therefore,
x = 135° + 360°n and
x = 135° + 180° + 360°n = 315° + 360°n
n is an integer
somebody please help me
Answers
Answer:
1/3
1/2
Step-by-step explanation:
Sum being greter than 8, means 9,10,11,12 (12 is max as 6+6)
You can get 9 in these ways, (6+3),(5+4),(4+5),(3+6)
For 10, (6+4),(5+5),(5+5),(4+6)
For 11, (6+5),(5+6)
For 12 (6+6),(6+6)
Each outcome has probability of 1/6 x 1/6 = 1/36
There are 12 outcomes hence 12(1/36) = 12/36 = 1/3
Part b is 1/2 because half of dice has odd numbers.
plssss helppp meeeee
Answers
Answer: s = 47°
Step-by-step explanation:
This shape is a hexagon because it has 6 sides.
-> There are 720° total in a hexagon.
Using this information, we will add together all the angles, set it equal to 720°, and solve for x.
(3s - 41)° + (3s - 12)° + (3s - 38)° + (3s)° + (125)° + (3s-19)° = 720°
3s° - 41° + 3s° - 12° + 3s° - 38° + 3s° + 125° + 3s° - 19° = 720°
3s° + 3s° + 3s° + 3s°+ 3s° - 12° - 38° - 41° + 125° - 19° = 720°
15s° + 15° = 720°
15s° = 705°
s = 47°
Suppose that 30 percent of the bottles produced in a certain plant are defective. If a bottle is defective, the probability is 0.9 that an inspector will notice it and remove it from the filling line. If a bottle is not defective, the probability is 0.2 that the inspector will think that it is defective and remove it from the filling line.
a. If a bottle is removed from the filling line, what is the probability that it is defective?
b. If a customer buys a bottle that has not been removed from the filling line, what is the probability that it is defective?
Answers
The probability that a bottle on the line is defective and removed is 0.27 and the probability that a bottle on the line is defective and not removed is 0.03
The probability that a bottle on the line is defective?The given parameters are:
P(Defective) = 30%P(Remove) = 0.9P(Not defective and remove) = 0.2The probability that a bottle on the line is removed if defective is:
P = P(Defective) * P(Remove)
This gives
P = 30% * 0.9
Evaluate
P = 0.27
Hence, the probability that a bottle on the line is defective and removed is 0.27
The probability that a bottle not on the line is defective?This probability is represented as:
Defective and Not removed
It is calculated as:
P = P(Defective) * P(Not Remove)
Using the complement rule, the probability that a defective bottle would not be removed is:
P(Not Remove) = 1- P(Remove)
P(Not Remove) = 1 - 0.9 = 0.1
So, we have:
P = 30% * 0.1
Evaluate
P = 0.03
Hence, the probability that a bottle on the line is defective and not removed is 0.03
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In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student who plays a sport does not play an instrument?
Plays an instrument Does not play an instrument
Plays a sport 12 13
Does not play a sport 3 2
Answers
The probability that a student who plays a sport does not play an instrument is 13 / 30.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that a student who plays a sport does not play an instrument = 13 / total number of students
13 / (12 + 13 + 2 + 3) = 13 / 30
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pls, help I will make you the branliest!
Answers
Answer:
See below
Step-by-step explanation:
Use protractor to measure the UNmarked angle (approx 135 degrees)
then subtract this value from 360 degrees to find the angle in question
Somebody please explain how to solve this by formula or theorem
Answers
[tex]\text{It is an equilateral triangle, so all angles are equal to}~ 60^{\circ}\\\\~~~~~~m\angle 2 = x+72\\\\\implies 60 = x+72\\\\\implies x = 60-72\\\\\implies x = -12[/tex]
How do the average rates of change for f(x) = -0.5x² and g(x) = -1.5x² over the interval -5 ≤ x ≤ -2 compare?
Answers
There are 48 cards in a pack and each card is either red or black.
The ratio of the number of red cards to the number of black cards is 1 : 1
8 red cards are removed from the pack.
Find the ratio of the number of red cards now in the pack to the number
of black cards now in the pack.
Give your answer in its simplest form.
Answers
Answer:
2 : 3
Step-by-step explanation:
Given :
Ratio of black cards and red cards = 1 : 1Total cards = 48Solving :
Let the cards be denoted by xx + x = 48x = 24 of each (red and black)8 red cards have been removed from the pack.
So, now the ratio is :
Red : Black = 24 - 8 : 24Red : Black = 16 : 24Red : Black = 2 : 3PLEASE HURRY!!
What is the slope of the line that passes through (1, 4) and (-3, -3)?
A. -7/4
B. 7/4
C. -4/7
D. 4/7
Answers
Answer:
The slope of the line is option B
In circle R, RS = 12 and m/SRT = 90°. Find the length of ST. Express your
answer as a fraction times 7.
R
T
S
Answers
Answer:
[tex]l(\widehat {ST})=6\pi [/tex]
Step-by-step explanation:
Radius (r)= RS = 12 (Given)[tex] Central\: angle \:(\theta) = m\angle SRT =90\degree[/tex] (Given)To find: [tex]l(\widehat {ST})[/tex]Formula for finding the length of arc is given as:[tex]l(\widehat {ST})=\frac{\theta}{360\degree}\times 2\pi r[/tex][tex]l(\widehat {ST})=\frac{90\degree}{360\degree}\times 2\pi (12)[/tex][tex]l(\widehat {ST})=\frac{1}{4}\times 24\pi [/tex][tex]l(\widehat {ST})=6\pi [/tex]The required length of an arc ST is 6π units which is subtended by an angle.
What is an arc?The arc is a portion of the circumference of a circle.
The formula for calculating the arc states that:
Arc length = 2πr (θ/360)
Where r = the radius of the circle,
θ = the angle (in degrees) subtended by an arc at the center of the circle.
As per the question, we have:
θ = 90° and r = 12 units
Substitute the given values in the formula,
Arc length = 2π(12) (90/360)
Arc length = 6π
Therefore, the required length of an arc ST is 6π units.
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How to find LCM by factorization method
Answers
Answer:
1. Find the prime factorization of each number.
2. Write each number as a product of primes, matching primes vertically when possible.
3. Bring down the same numbers in each column and the remaining numbers in each column.
4. Multiply the factors to get the LCM.
for example the lcm of 24 and 36
= 24 = (2 × 2 × 2 × 3) = 2^3 × 3^1
and 36 = (2 × 2 × 3 × 3) = 2^2 × 3^2
LCM(24, 36) = 2^2 × 3 × 2 × = 72
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If , the ratio of the length of to the length of is .
Answers
Given the ratio of 5 : 3, the length of the rectangle is 45 units
How to determine the length?The ratio is given as:
Length : Width = 5 : 3
The perimeter is given as:
Perimeter = 144
The perimeter of a rectangle is:
Perimeter = 2 * (Length + Width)
So, we have:
2 * (Length + Width) = 144
Divide both sides by 2
Length + Width = 72
Recall that:
Length : Width = 5 : 3
Express as fraction
Length/Width = 5/3
Make Width the subject
Width = 3Length/5
Substitute Width = 3Length/5 in Length + Width = 72
Length + 3Length/5 = 72
Multiply through by 5
5Length + 3Length = 360
This gives
8Length = 360
Divide both sides by 8
Length = 45
Hence, the length of the rectangle is 45 units
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David wants to hang a mirror in his room. The mirror and frame must have an area of 8 square feet. The mirror is 2 feet wide and 3 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?
Square with an inner frame with height of 2 ft on the left frame and width of 3 ft on the top. Arrow on the bottom frame with an x and an arrow on the right frame with an x.
2x2 + 14x − 2 = 0
3x2 + 10x − 8 = 0
4x2 + 10x − 2 = 0
x2 + 7x − 8 = 0
Answers
Answer:
Represent the thickness of the frame by x.
Framing the mirror will increase both its length and width by 2x. The area of the mirror with the frame is the product of the length and width which can mathematically be expressed as,
A = (3+2x)(2+2x) = 8
The equation above can be simplified into 4x^2 + 10x -2=0.
This equation can still be further simplified by dividing it by 2. However, it will give an answer which is not found on the choices. Thus, the answer is the third choice.
Answer:
The correct option would be C
Step-by-step explanation:
I hope this helps, if it doesn't then just message me and ill be more than happy to help :)
PLEASE HELP 100 POINTS AND BRAINLIEST
Answers
Answer:
I did the work and uploaded the answers i hope it helped!!
Triplets Peter, Reeta and Nikita have two ways for getting home from school each day: cycle on a tandem bike or walk. The bike can carry either one or two riders at a time. Regardless of the number of people pedalling, cycling speed is 5 times walking speed. The triplets always leave school at the same time and always use the same path between school and home, whether walking or cycling. The school is 5km from home and their walking speed is 4 kilometres per hour.
d) On Thursday, it is Reeta's turn to walk. Peter drops Nikita off at a certain point leaving her to walk home, Meanwhile he returns to pick up Reeta and they cycle home together. If all three arrive home at the same time, how far from school are the drop-off ad pick up points.
Answers
Answer:
Pick up point is 1.43 km from the school and drop point is 3.57 km from the school ( to the nearest hundredth).
Step-by-step explanation:
School <----------- 5 km ---------------> Home
_______ P _______ D _______
x km y km 5-x-y km
_______
y
_________________
5-x km
D is the point where Peter drops off N and P is the pick point x km from the school where Peter picks up R. He travels back y km to pick up R.
We work in times:
Time = distance / speed
The time that R walks from the school to point P is the same as Peter travels the distance (x + 2y) km, so we have
x/5 = (x + 2y)/20
20x = 5x + 10y
15x - 10y = 0 A
The time that N walks home equals the time that Peter travels y + 5 - x km.
So (y + 5 - x)/20 = (5 - x - y)/5
5y + 25 - 5x = 100 - 20x - 20y
15x + 25y = 75
3x + 5y = 15 B
Solving equation A and B
15x - 10y = 0
3x + 5y = 15
Multiply the second equation by 2:
6x + 10y = 30
Adding this to the first equation
21x = 30
x = 30/21 = 1.4285
So 3(1.4285) + 5y = 15
y = 2.1428
Pick up x = 1.43 km
and the drop is 1.43 + 2.14 = 3,57 km from the school
30 points!! What is the equation of this line?
Answers
Answer:
y = - 2x
Step-by-step explanation:
the equation of a line passing through the origin is
y = mx ( m is the slope )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 1, 2) ← 2 points on the line
m = [tex]\frac{2-0}{-1-0}[/tex] = [tex]\frac{2}{-1}[/tex] = - 2 , then
y = - 2x ← equation of line
Extra points and brainiest if you answer this correctly because i need some help!!
mrs. gold is planning a field trip for her class to the zoo. the zoo is 12 miles away. the map she uses has a scale of 1 inch to 3 miles. how far in inches is the zoo from the school on the map?
Answers
The zoo is 12 inches from the school on the map
How to determine the distance in inches?The given parameters can be represented using the following ratio:
Ratio = 1 inch : 3 miles
For 12 miles, we have:
Distance :12 miles = 1 inch : 3 miles
Multiply by 4
Distance :12 miles = 4 inches : 12 miles
By comparison, we have:
Distance = 12 miles
Hence, the zoo is 12 inches from the school on the map
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1 3 6 10 what number comes next
Answers
Answer:
15 is the correct and answer mark me brainiest
Step-by-step explanation:
Well its because they added 2 3 4 now 5
Answer:
14
Step-by-step explanation:
there is difference 1 3 there is difference of 1 and 3 6 there is difference of 2 and 6 10 there is difference of 3 and there will be difference of 4
Para preparar un pastel, se necesita: 1/3 de un paquete de 750
g de azúcar, 3/4 de un paquete de harina de kilo, 3/5 de una
barra de mantequilla de 200 g. Halla, en gramos, las
cantidades que se necesitan para preparar el pastel.
Answers
Considerando la multiplicando una fracción por un entero, las cantidades que se necesitan para preparar el pastel son 250 gramos de azúcar, 750 gramos de harina y 120 gramos de mantequilla.
Multiplicando una fracción por un enteroPara multiplicar una fracción por un número entero, se debe tener en cuenta que cualquier entero n puede ser escrito como la fracción [tex]\frac{n}{1}[/tex].
Luego, se multiplican los denominadores para obtener el denominador final y se multiplican los numeradores para obtener el numerador final. Es decir, en la multiplicación de fracciones se multiplican los numeradores de las fracciones y aparte los denominadores.
Cantidades para preparar un pastelPara preparar un pastel, se necesita 1/3 de un paquete de 750 g de azúcar, 3/4 de un paquete de harina de kilo (1000 g), 3/5 de una barra de mantequilla de 200 g. Esto es:
[tex]\frac{1}{3}[/tex]× 750 gramos [tex]\frac{3}{4}[/tex]× 1000 gramos[tex]\frac{3}{5}[/tex]× 200 gramosConsiderando la multiplicando de una fracción por un entero y resolviendo se obtiene:
[tex]\frac{1}{3}[/tex]× 750 gramos= [tex]\frac{1}{3}[/tex]× [tex]\frac{750}{1}[/tex]= [tex]\frac{750}{3}[/tex]= 250 gramos[tex]\frac{3}{4}[/tex]× 1000 gramos= [tex]\frac{3}{4}[/tex]× [tex]\frac{1000}{1}[/tex]= [tex]\frac{3000}{4}[/tex]= 750 gramos[tex]\frac{3}{5}[/tex]× 200 gramos= [tex]\frac{3}{5}[/tex]× [tex]\frac{200}{1}[/tex]= [tex]\frac{600}{5}[/tex]= 120 gramosFinalmente, las cantidades que se necesitan para preparar el pastel son 250 gramos de azúcar, 750 gramos de harina y 120 gramos de mantequilla.
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Need the answer for the following question...
[tex] \sqrt{155} \times \sqrt{155} [/tex]
If u get it right... u get... pts!!...
Answers
Answer:
155
Step-by-step explanation:
Solution
[tex]\sqrt{155} *\sqrt{155}[/tex] is the same thing as [tex]\sqrt{155}^2[/tex], when we square a square root, we get the number that's inside the radical.
E.g. [tex]\sqrt{x} ^2[/tex] would get us x as the answer.Given this method, we can easily say that [tex]\sqrt{155} * \sqrt{155}[/tex] is just [tex]155[/tex].
Another way:
Let's take the number 16 as an example.The square root of 16 is four, so we can put it as: [tex]\sqrt{16} * \sqrt{16} =16[/tex], or [tex]4*4=16[/tex].This same method applies to the problem, so again, we can say the answer is 155.Answer:
155.
Step-by-step explanation:
By the definition of a square root the answer is 155.
What is the area of the trapezoid? a trapezoid has a base of 10 meters, a height of 7 inches, and a top side length of 6 inches. 49 in.2 56 in.2 67 in.2 74 in.2
Answers
The formula for calculating the area of a trapezoid is expressed as A = 0.5(a+b)h. The given area of the trapezoid is 1398.9 square inches
Area of a trapezoidThe formula for calculating the area of a trapezoid is expressed as:
A = 0.5(a+b)h
Given the following parameters
a = 10m = 393.7in
b = 6in
h = 7in
Substitute
A = 0.5(393.7 + 6) * 7
A = 0.5 * 399.7 7
A = 1398.9 square inches
Hence the given area of the trapezoid is 1398.9 square inches
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Answer:
The correct answer is 56. This is correct on e d g e .
Step-by-step explanation:
We add together the two bases, divide by two, and then multiply by the height, getting 56. I hope this helps anyone on the exam
Grace bought a new sweater on sale for 20% off the original price and an additional 15% off the discounted price. If the sweater originally cost $60, what was the final cost that Grace paid for the discounted sweater?
Answers
Answer:
$40.80.
Step-by-step explanation:
60 - 0.20*60
= 60 - 12
= $48
48 - 48*0.15
= 48 - 7.20
= $40.80.
What are the values y = 3x
Answers
Answer:
when x=1
y= 3 × 1 = 3
when x=2
y= 3 × 2 = 6
when x=3
y= 3 × 3=9
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For what value of n does startfraction 216 superscript n minus 2 baseline over (startfraction 1 over 36 endfraction superscript 3 n?
Answers
They are written in term of power to the base of a function. The value of n that will make both expression equal is 2/9
Exponential expressionThey are written in term of power to the base of a function. Given the expression below:
[tex]216^{n-2}=\frac{1}{36}^{3n}[/tex]
This can be further simplified as:
[tex]6^3^{n-2}=(6^{-2})^{3n}\\6^{3n-2}=6^{-6n}[/tex]
Cancel the base to have:
3n-2 = -6n
3n+6n = 2
9n = 2
n = 2/9
Hence the value of n that will make both expression equal is 2/9
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Find the arc length of the subtending arc for an angle of 35 degrees on a circle of radius 10.
Answers
Step-by-step explanation:
arc length = radius × central angle in radian
= 10 × (35 × π/180)^c
= 10 × ( 7π/36)
= 70π/36
= 70/36 × 22/7
= 55/9
= 6.111cm
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and
i hope my ans is helpful
Answer:
formula for length of an arc = 0 / 360 × 2ūr
Given , 0 = 35 , ū = 22/7 ,r =10
therefore; 35/360 × 2 x 22/7 ×10
= 6.111 or 55 /9
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Mitch is making a target for the beanbag toss at his school's fall fun-run and carnival. the target is a short round basket divided evenly into 4 sections. the player wins a prize for each section the beanbag lands in. there is 1 section that wins the player a rubber ball. there are 3 sections that win the player a teddy bear. what fraction of the target wins the player a teddy bear?
Answers
Answer:
3/4 is your fraction because 3 out of the four sections gives you the bear
Step-by-step explanation:
