Mathematics High School

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

Answers

Answer 1

Answer:

51, 53, 55, 58, 60

Step-by-step explanation:

The minimum is the lowest value in the data set, that is 51

The maximum is the largest value in the data set, that is 60

The median is the middle value of the data, arranged in ascending order. If there is no exact middle then it is the average of the 2 values either side of the middle.

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

                                     ↑ middle

median = 55

The lower quartile is the middle value to the left of the median

51, 51, 53, 53, 54, 55

               ↑

Q₁ = [tex]\frac{53+53}{2}[/tex] = [tex]\frac{106}{2}[/tex] = 53

The upper quartile is the middle value of the data to the right of the median

56, 58, 58, 58, 59, 60

                 ↑

Q₃ = [tex]\frac{58+58}{2}[/tex] = [tex]\frac{116}{2}[/tex] = 58

Related Questions

How does Shakespeare create an immediate mood of sadness around Romeo

Answers

Answer:

Shakespeare creates an immediate mood of sadness around Romeo because he said sad hours go by slow. also, he talks to benvolio about how sad he is

A function is defined as k(x)=2x^2 - 5x + 3 The value of k(-3) is

Answers

Answer:

36

Step-by-step explanation:

k(-3) = 2(-3)² - 5(-3) + 3

= 18 - (-15) + 3

= 33 + 3

= 36

Please help

Thank you

Answers

Answer:

m ∠JPN = 131°    

Step-by-step explanation:

m ∠JPL = m ∠MPK                         Vertical angles are =

7x + 19 = 11x -17                               Substitution  

- 4x =  -36                                      Algebra: Solving for x

   x = 9                                           Algebra: Solving for x

 m ∠JPL = 82°                              Substitution x = 9 into m ∠JPL = 7x +19

m ∠JPL + m ∠LPK = 180°             Definition of linear pair/supplement

                                                     angles = 180°

82° + m ∠LPK = 180°                      Substitution    

            m ∠LPK = 98°                     Algebra

m ∠LPK = m ∠LPN + m ∠NPK        Angle addition Theorem

       PN bisects ∠LPK                     Given    

m ∠LPN = m ∠NPK                          Definition of angle bisector

98 ° = 2 ( m ∠LPN)                           Substitution  

    m ∠LPN = 49°                             Algebra

m ∠JPN = m ∠JPL + m ∠LPN         Angle Addition

 m ∠JPN = 82° + 49°                     Substitution  

m ∠JPN = 131°                                 Addition    

What is the equation of the line that passes through the point (-6,1) and has a
slope of 1?

Answers

Answer:

y = x + 7

Step-by-step explanation:

If the slope is 1, the original equation is y = mx + b, with m being 1.

Now substitute -6 and 1 for x and y and solve for b

1 = 1(-6) + b

1 = -6 + b

7 = b

Put it all together:

y = x + 7

convert the following equation into standard form. y= -5x/6+2

Answers

Answer:

5x + 6y = 12

Step-by-step explanation:

The standard form of a linear equation is  Ax + By = C.

Multiply both sides by  6

6y = 6(-5x/6 + 2)

Simplify the right side

Simplify  

6(−5x/6+2)

Apply the distributive property =  a  ( b + c )  = ab + ac

6y = 6( −5x/6) + 6 ⋅ 2

Cancel the common factor of  6

Move the leading negative in  −5x/6 into the numerator

6y = 6 −5x/6 + 6 ⋅ 2

Cancel the common factor 6

Rewrite the expression

6y  = −5x + 6 ⋅ 2

Multiply  6  by 2

6y = -5x + 12

Move all terms containing variables to the left side of the equation

Add  5x to both sides of the equation.

6y + 5x = 12

Reorder 6y and 5x

5x + 6y = 12

Hi! im not sure if my answer is correct or not can someone check me :)

Answers

it is correct goodluck

Which kind of symmetry does the word TOOT have?
A. both vertical and horizontal line symmetry
B. vertical line symmetry, only
C. neither horizontal nor vertical line symmetry
D. horizontal line symmetry, only

Answers

B, because TOOT, if you fold it horizontally it will not match up. But if you fold it vertically it will match up

The kind of symmetry that it forms is vertical line symmetry, only

What are vertical line symmetry

Line of symmetry is the line that. divides a figure into two equal halves. The axis of the shape which divides the shape into two identical halves, vertically, is called a vertical line of symmetry.

According to the word given TOOT, this word can only form mirror images of each other along the y-axis TO | OT, hence the kind of symmetry that it forms is vertical line symmetry, only

Learn more on vertical line symmetry here: https://brainly.com/question/1527799

#SPJ5

Vincent saves $8 each week. How much does he save in a year?
$56
$60
$416
$2960

Answers

He will save 416 dollars in one year

Answer:

$416

Step-by-step explanation:

weeks in a year is 52 weeks

52×8=416$

Q.

10² + 20² - 5! = ?

note : ! it's a factorial sign

Goodluck​

Answers

[tex] = 10 {}^{2} + 20 {}^{2} - 5! \\ = 100 + 400 - \\ (5 \times 4 \times 3 \times 2 \times 1) \\ = 100 + 400 - 120 \\ = 500 - 120 \\ = 380[/tex]

Question:-

10² + 20² - 5! = ？

Answer:-

380

Explanation:-

=> 10² + 20² - 5!

=> 100 + 400 - (5 × 4 × 3 × 2 × 1)

=> 100 + 400 - 120

=> 500 - 120

=> 380

HELLO CAN SOME ONE WHO IS GOOD AT MATH ANSWER THIS PLEASE

Answers

Its the first equation, y < -1/3x +2

I need help with this question can someone plss help me!!

Answers

Answer:

Step-by-step explanation:

A bag of fruit contains 4 apples and 2 banans 3 oranges and 5 peaches. Darlene will randomly select two piecies of fruit one at a time from the bag and not put them back what is the probabilty that the first piece of fruit Darlene secelts will be on apple and the second piece of fruit will be orange

Answers

Answer:

6/91

Step-by-step explanation:

Total number of fruits = 4 + 2 + 3 + 5 = 14

Apple: 4/14

One of the fruits have been taken from the total. 14 thus becomes 13.

There are 3 oranges

Orange: 3/13

Combine probability: 4/14 * 3/13 = 12/182 = 6/91

Two is a common factor in both 12 and 182

Helena asked five drama club members in her homeroom how many tickets they had sold. The mean number of tickets sold was 16. Then she took ten random samples from the entire drama club of 75 students. The mean number of tickets sold was 22. 5. Compare the means. Is one sample a better representation? Explain why or why not.

Answers

The total sum of the population in the first sample is greater than the second, hence the first sample is a better representation.

The formula for calculating the mean of numbers is expressed according to to the formula;

[tex]\overline x=\frac{\sum x}{n} \\[/tex]

n is the total sample space

[tex]\overline x[/tex] is the mean of the samples

[tex]\sum x[/tex] is the sum of the variables

If the mean number of tickets sold by five drama club members was 16, then;

[tex]16=\frac{\sum x}5}\\\sum x = 16 \times 5\\\sum x_1 = 80[/tex]

If she took ten random samples from the entire drama club of 75 students with a mean number of 22.5, hence;

[tex]\sum x_2 = 75[/tex]

Since the total sum of the population in the first sample is greater than the second, hence the first sample is a better representation.

Learn more on mean here: https://brainly.com/question/21193324

Can someone help me :

Answers

E is the answer I am pretty sure.

James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall. They have budgeted $3,000 for their reception. If the reception hall charges a $80 cleanup fee plus $33 per person, find the
greatest number of people that they may invite and still stay within their budget.
James and Bethany can invite at most people to the reception
(Round down to the nearest whole person)

Answers

Answer:

88 people

Step-by-step explanation:

Start with the equation of

[tex]3,000\geq 33x+80[/tex]

subtract 80

[tex]3.000\geq 33x[/tex]

then divide by 33

[tex]88.48\geq x[/tex]

round down

[tex]x=88[/tex]

Calculator
What is the value of a?

Answers

Answer:

15

Step-by-step explanation:

20^2 + x^2 = 25^2

= 400 + x^2 = 625

= x^2 = 225

= x = 15

Answer:

15

Step-by-step explanation:

20^2 + x^2 = 25^2

= 400 + x^2 = 625

= x^2 = 225

= x = 15

You know what to do

PLEASE HELP!!!! write the equation in slope-intercept form of the line that passes through (6,-11) and is perpendicular to the graph of y=-2/3x+12

Answers

Answer:

I believe the equation would be: y=3/2x-20

Step-by-step explanation:

This is true because, first you would need to find the slope from the equation, which is -2/3. But, for perpendicular, you would need to make it the exact opposite (which is this case would leave you with a slope of 3/2)

Ex: if you had -3/4, the slope for one that is perpendicular would be 4/3 (exact opposite)

After finding the slope, you take the points (6,-11) and plug it into the equation "y-y1=m(x-x1)"

y-y1=m(x-x1)

y+11=3/2(x-6)

-distribute the 3/2-

y+11=3/2x-18/2

y+11=3/2x-9

-subtract 11 on both sides-

y=3/2x-20

Im not sure if all calculations are correct, but I hope this helps! :)

Which is the better buy twelve cans for7 dollors or 6 cans for 4 dollors

Answers

I will say 12 cans for 7$ because if you buy a second pair of 12 cans it will cost 14 but if you buy 6 cans for 4 dollars but another pair would be 8$,but i also depends on how much cans you will need ;)

Hope this helps :)

The better buy should be buy twelve cans for 7 dollors

Given that,

twelve cans for7 dollors or 6 cans for 4 dollors.

Based on the above information, the calculation is as follows:

The first option is

[tex]= 7\div 12[/tex]

= $0.58

The second option

[tex]= 4\div 6[/tex]

= $0.67

Learn more: brainly.com/question/16911495

Simplify the radical expression. Select all that apply. (There are two answers I believe) √−36
a. 6
b. -6i
c. 6i
d. -i√6
please dont send links, i will give you brainliest

Answers

Based on the graphs of f (x) and g(x), in which interval(s) are both functions increasing? Polynomial function f of x, which increases from the left and passes through the point negative 5 comma negative 4 and goes to a local maximum at negative 4 comma 0 and then goes back down through the point negative 3 comma negative 2 to a local minimum at the point negative 2 comma negative 4 and then goes back up through the point negative 1 comma 0 to the right, and a rational function g of x with one piece that increases from the left in quadrant 2 asymptotic to the line y equals 1 passing through the points negative 6 comma 2 and negative 3 comma 5 that is asymptotic to the line x equals negative 2 and then another piece that is asymptotic to the line x equals negative 2 and increases from the left in quadrant 3 passing through the point negative 1 comma negative 3 and 2 comma 0 that is asymptotic to the line y equals 1 (–°, °) (–°, –4) (–°, –4) ∪ (–2, °) (–°, –4) ∪ (2, °)

NEED HELP ASAP…………..

Answers

Answer:

It is the second answer.

Step-by-step explanation:

i need answer please​

Answers

The unknown side of the right angle triangle is the hypotenuse side of the triangle and the length to the nearest tenth is 20.5 cm.

What is a right angle triangle?

Right angle triangle are triangle that has one of its angles as 90 degrees. The sides can be found using Pythagoras theorem.

Therefore,

c² = a² + b²

where

c = hypotenusea and b are the other legs

Hence,

15² + 14² = x²

225 + 196 = x²

x = √421

x = 20.5182845287

x ≈ 20.5 cm

learn more on right angle triangle here:https://brainly.com/question/3770177

The follow through is where you "pause" and hold the bow still for a few seconds after releasing the arrow.
True or false

Answers

True-... i think because like i am not sure-

Find the roots of the equation: y^2-1/16=0

Answers

Answer:

1/4, -1/4

Step-by-step explanation:

Simply solve for y

WILL GIVE BRAINLIEST

Answers

what’s the question?

Answer:

1 ) the slope is -2/1  y-intersept is 7    therefore y=-2/1x+7  pt's (1,3) (-3,5)

2 ) the slope is 1/1  y-intersept is -4     therefore y=1/1x-4   pt's  (-3,1)(-1,3)

Step-by-step explanation:

i hope this helps if you need more or still dont understand plz let me know! <3

y =mx(+or-)b

m,slope ,rise over run .

b,y-inersept  the point that of witch it crosses the y axis.

10 is 20% of (blank)

Answers

Answer:

50

Step-by-step explanation:

Ned had 76 boxes. together the boxes weighed 723 kilograms. About how much did each box weigh

Answers

Answer: ~9.51 kilograms each.

Step-by-step explanation: 723/76=9.5131

6x+a= 5(x+f) make x subject

Answers

Answer:

x = 5f - a

Step-by-step explanation:

6x + a = 5(x + f)

6x + a = 5x + 5f

x = 5f - a

Write in point-slope form an equation of the line that passes through the point (1,9) with a slope of -2

Y-_=_(x-_)

Answers

Answer:

y - 9 = - 2(x - 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Here m = - 2 and (a, b ) = (1, 9 ) , then

y - 9 = - 2(x - 1) ← is the equation of the line

Which inequality represents this sentence?
A number is at least 65
On < 65
On > 65
On > 65
On < 65

Answers

Answer:

n ≥ 65

Step-by-step explanation:

A number is at least 65. It means the number n can be 65 or greater.

Its translation is:

n ≥ 65

The answer options don't have this included.

Let the number be n

At least 65 means the number is equal to 65 or greater than 65.Hence here we use greater than equal to sign.

Inequality:-

[tex]\\ \sf{:}\Rrightarrow n\geqslant 65[/tex]

Graph y > 1 -3x
A
B
C
Or D

Answers

Answer:

D (You got it right.)

Step-by-step explanation:

Whenever the sign is facing them we will always shade the top. Then we have to find the slope which in this case would be 3(the number that is being multiplied by x. Lastly is the sign does not have a line under it or an equal sign. it won't be a straight line it will have little gaps.

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