The following are the ages of 13 mathematics teachers in a school district.
29, 30, 32, 38, 39, 43, 43, 44, 45, 46, 46, 57, 60
Notice that the ages are ordered from least to greatest.
Give the five-number summary and the interquartile range for the data set.
Five-number summary
Minimum:
a
Lower quartile:
Median:
0
Upper quartile:
Maximum:
Interquartile range:

Answers

Answer 1

Answer:

Minimum: 29

Lower Quartile: 35

Median: 43

Upper Quartile: 46

Maximum: 60

Interquartile Range: 11

Step-by-step explanation:


Related Questions

select all values equal to -4/5

Answers

Answer:

C and E

Step-by-step explanation:

the position of the minus either up or down affects both the numerator and denominator.

but if both number have minus the minus cancels each other

Answer:

B, C, E

Step-by-step explanation:

A is -/- and therefore +

B is - -/- = -+ = -

C is -/+ = -

D is - -/+ = -- = +

E is +/- = -

The 20th term of the number sequence is 50
Write down the 21st term of the number sequence.

Answers

I hope this help too.

Answer:-

The linear sequence 27, 25, 23, 21, 19... is an arithmetic progression with (-2) as the common difference.

The nth term of an arithmetic progression is an=a1+(n−1)da_n=a_1+(n-1)dan​=a1​+(n−1)d, where ana_nan​ is the nth term, a1a_1a1​ is the first term, d is the common difference.

In our case, n=50,a1=27,d=−2n=50, a_1=27, d=-2n=50,a1​=27,d=−2 , hence, we get

a50=27+49⋅(−2);a50=27−98=−71.a_{50}=27+49\cdot(-2);\\ a_{50}= 27-98=-71. a50​=27+49⋅(−2);a50​=27−98=−71.

The 50th term of this sequence is (-71).

The letter in front of a number, showing multiplication.


A.) Combining like terms
B.) Coefficient
C.) Distributive property
D.) Like terms

Answers

A it’s A because you’re combining those two things to get your answer

What is 2/5 divided by 2/3

Answers

Answer:

0.6

Step-by-step explanation:

Trust me

PLZ mark as brainliest

find the indefinite integrals ​

Answers

Answer:

Below in bold

Step-by-step explanation:

dx / (x^2√(9-x^2))

Substitute x = 3sinu and dx = 3cosu du

then the √(9-x^2) = √( 9 - 9sin^2u) = 3 cos u  and u = arcsin(x/3)

= 3 ∫(csc^2 u du )/ 27

= 1/9 ∫(csc^2 u du

= -1/9 cot u

= -√9-x^2) / 9x.

Helppppppppppp!!!!!!!!!!!

Answers

A parallel line must have the same slope. The only one it can be is A

what is 174 divided by 74

Answers

Answer:

2.35

Step-by-step explanation:

Answer:

2.35

Step-by-step explanation:

I hope this helps you!

Tell which line contains each point for triangle ABC.
the circumcenter
the orthocenter
the centroid
the incenter

Answers

5. The line that contains the circumcenter in ΔABC is: line k.

6. The line that contains the orthocenter in ΔABC is: line m.

7. The line that contains the centroid in ΔABC is: line l.

8. The line that contains the centroid in ΔABC is: line n.

What is the Circumcenter of Triangle?

Circumcenter is the point where all three perpendicular bisectors of the three sides of a triangle meet and they are of equal distance from the three vertices of the triangle.

The line that contains the circumcenter in ΔABC is: line k.

What is the Orthocenter of a Triangle?

Orthocenter is the point in a triangle where the three altitudes that are perpendicular to the opposite sides and connect with the vertices of the triangle intersect.

The line that contains the orthocenter in ΔABC is: line m.

What is the Centroid of a Triangle?

The centroid of a triangle is a the point of intersection where all three medians of a triangle. Medians of a triangle connects the vertices to the midpoints of the opposite sides of a triangle.

The line that contains the centroid in ΔABC is: line l.

What is the Incenter of a Triangle?

The incenter of a triangle is the point in a triangle where all three angle bisectors of the vertices of a triangle.

The line that contains the centroid in ΔABC is: line n.

Learn more about centers of a triangle on:

https://brainly.com/question/16045079

What is the number of Santa’s reindeer (without Rudolph!) times the number of
golden rings in the song, “The Twelve Days of Christmas”?

Answers

Can you answer for this question is 8x5=40 because Santa has eight room reindeer without Rudolph and in the 12 days of Christmas song there’s five golden rings

What is an equation of a line that passes through the point
(0,3) and is perpendicular to the line whose equation is
y = 2x - 1?
-

Answers

Answer:  y = -(1/2)x + 3

Step-by-step explanation:

y = 2x - 1

This is in the format of y=mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).

Perpendicular lines have a slope that is the negative inverse of the reference line.  The slope of this reference line is 2, so the slope of a perpendicular kline will be -(1/2).

This yields the equation y = -(1/2)x + b

To find the value of b, we can use the given point, (0,3) and use these values of x and y to solve for b:

y = -(1/2)x + b

3 = -(1/2)(0) + b

b = 3

The equation of a line perpendicular to y = 2x - 1 and goes through point (0,3) is:

y = -(1/2)x + 3

Your class is learning to tie knots. Each student needs a piece of rope that is 3/6 yard long how many yards of rope are needed for the 16 students in your class.

Answers

Answer:The class will need 8 yards.Step-by-step explanation:1 student = 3/6 rope=> 16 students = 3/6 x 16=> 48/6 = 16 students=> 8 yards = 16 students.Conclusion:

Therefore, the class will need 8 yards.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

How can you find approximations of square roots?​

Answers

Answer:

you can do a trial and improvement

Step-by-step explanation:

Pleasee helpp
Write at least 4 key features of the graph shown below.

Answers

Answer:

There are a few key features of a graph; though I'm not exactly sure which ones are the '4 key features'

Step-by-step explanation:

There are a few key features of a graph.

- (x and y) intercepts

- Domain

- Range

- Increasing/Decreasing

- Vertex

-Max/min

- is the graph a function?

I'm not exactly sure what the 4 main key features of a graph is; since there are many features of a graph.

But I'm guessing its the

-x and y intercept

-Max/min

-Domain

-Range

The x intercept is (-15,0)

y intercept is (0,-5)

I was never properly taught how to find the domain and range of a graph, and I can't really find much about the domain and range of graphs that have no clear end to either side (continuous line) so I'm sorry, I can't really help you on that.

Answer:

Linear graph

Slope is 1/3

The y intercept is -5

The x intercept is -15

Step-by-step explanation:

The graph is a straight line graph

Slope = ∆y/∆x

= (-5 - 0)/-15-0

= -5/-15

= 1/3

Y-intercept is the value on the y-axis when x is 0

X-intercept is the value on the x-axis when y is 0

Which describes how triangle D was transformed to result in similar triangle D'?
A. Dilation
B. Rotation
C. Reflection
D. Translation

Answers

Answer:

C. Reflection

Step-by-step explanation:

Hope it helps!

It id c good luck:) :)

Classify the number -5
Integer

1. Whole Number

2. Irrational Number

3. Natural Number

Answers

Answer:

1. Whole number

Step-by-step explanation:

It's a negative number, but it is not a decimal, therefore it is a whole number.

Help me plz I would really appreciate it!

Answers

Given,

[tex]x = \frac{7}{9} \: \: \: y = \frac{5}{6} \\ \\ - 2y + x \\ = - 2( \frac{5}{6} ) + \frac{7}{9} \\ = - \frac{5}{3} + \frac{7}{9} \\ = \frac{ - 15 + 7}{9} \\ = \frac{ - 8}{9} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

A system of equations is made up of an ellipse and a hyperbola.

Part A: Create the equation of an ellipse centered at the origin, with a vertical major axis of 8 units and a minor axis of 6 units. Show your work. (3 points)

Part B: Create the equation of a hyperbola centered at the origin, with a horizontal transverse axis, vertex at (–4, 0), and asymptotes of y equals plus or minus seven fourths x period Show your work. (4 points)

Part C: Determine the domain of each conic section and use it to explain why there is no solution to the system. (3 points)

Answers

The equation of the ellipse and the equation of the hyperbola can be

derived from the given information and the general form of the equations.

[tex]Part \, A: The \ equation \ of \ the \ ellipse \ is; \displaystyle \frac{x^2}{3^2} + \frac{y^2}{4^2} = 1[/tex]

[tex]Part \, B: The \ equation \ of \ the \ hyperbola \ is; \displaystyle \frac{x^2}{(-4)^2} - \frac{y^2}{(-7)^2} = 1[/tex]

Part C: The domain of the ellipse is; [-3, 3]

The domain of the hyperbola is; (-∞, -4]

The domains of the ellipse and the hyperbola do not intersect, therefore, the system of equation has no solution.

Reasons:

Part A: The center of the ellipse = At the origin;

The vertical major axis = 8 units

The minor axis = 6 units

The general equation for an ellipse is presented as follows;

[tex]\displaystyle \frac{x^2}{b^2} + \frac{y^2}{a^2} = 1[/tex]

Where;

[tex]\displaystyle a = The \ \mathbf{ semi \ major \ axis} = \frac{8}{2} = 4[/tex]

[tex]\displaystyle b = The \ semi \ \mathbf{ minor} \ axis = \frac{6}{2} = 3[/tex]

The equation of the ellipse is therefore;

[tex]\displaystyle \underline{\frac{x^2}{3^2} + \frac{y^2}{4^2} = 1}[/tex]

Part B: center of the hyperbola = The origin

The transverse axis = Horizontal

The vertex of the hyperbola = (-4, 0)

[tex]\displaystyle The \ asymptote \ are; \ y = \mathbf{ \pm\frac{7}{4} \cdot x}[/tex]

The general equation of an hyperbola is presented as follows;

[tex]\displaystyle \mathbf{\frac{x^2}{a^2} - \frac{y^2}{b^2}} = 1[/tex]

[tex]\displaystyle The \ asymptote \ are; \ y = \mathbf{\pm\frac{b}{a} \cdot x}[/tex]

The vertices = (a, 0), (-a, 0)

Therefore, by comparison, we have;

a = -4

b = -7

Which gives the equation of the hyperbola as follows;

[tex]\displaystyle \underline{ \frac{x^2}{(-4)^2} - \frac{y^2}{(-7)^2} = 1}[/tex]

The above equation can be written as follows;

[tex]\displaystyle \frac{x^2}{(4)^2} - \frac{y^2}{(7)^2} = 1[/tex]

Part C: Given that both equations are equal, we have;

The covertices of the ellipse are; (-3, 0) and (3, 0)

The domain of the ellipse = [-3, 3]

The domain of the hyperbola = x < The negative vertex

∴ The domain of the hyperbola = x < -4 = (-∞, -4]

The above domain of the ellipse does not extend to the hyperbola, therefore there is no solution to the system.

Learn more about ellipse and hyperbola here:

https://brainly.com/question/17193351

https://brainly.com/question/8957529

helppppppppppppppppppppppppppppp

Answers

Answer:C

Step-by-step explanation:

I seraph it up

Answer:

Latisha works x hours a day.

No. of hours Demetrius works = x+1 a day.

No. of working days a week = 5

No. of hours Demetrius works weekly =

= 5(x+1)

which can also be written as 5x+5

So the c option is correct.

4. The original price of a pair of shoes is $80 and they are on sale for $48. What is the percent of discount?
O A 32%
O B. 40%
OC. 60%
O D. 66.7%

Answers

Answer:

c

Step-by-step explanation:

80 × percent = 48

percent = 48/80

= 0.6

= 60%

I need help with the answer to this question.

9 - 3 divided by 1/3 + 1 = ?

Will give the ranking thing to best explanation.
(sry I don’t know the name of what the ranking is called)

Answers

19

Explanation:

9-3=6

(Check your work)

3+6=9

__________________________________

6÷1/3=18

(Check your work)

(6×3=18)

__________________________________

18+1=19

Therefore,

the answer is 19!

A two-digit number is such that the sum of its digits is 12 and the ones digit is twice its tens digit. Find the number.

Answers

Answer:

48

Step-by-step explanation:

4 plus 8 is 12 and the ones digit is double the tens digit

Need help homework almost due

Answers

Answer:

i dont know

Step-by-step explanation:

1)
Which of the following is not a linear equation in one variable?
(a) 32+5 = 0 (b) 3(x+y) = 0 (c) 3x+5 = 0 (d) 3y+5 = 0

Answers

Answer:

letter c is the answer

Step-by-step explanation:

hope it helps you

Answer:

The answer is Option C.) 3x+5 = 0

Step-by-step explanation:

Option A, can't be the answer. It doesn't show a linear graph. Therefore it's incorrect.

Option B, can't be the answer. It doesn't show a linear graph either. This one is also incorrect.

Option C, on the other hand, is correct because it's not a linear equation.

Option D, can't be the answer. It shows a graph, but with a squiggly line. Therefore, this one is also incorrect.

Hope this helps!

Have a nice day/night/afternoon.

(Can you mark me brainliest?)

- ❤ 7272033Alt ❤

Wendy went to Starbucks and spent $15.75 on coffee. She had to pay 8% in sales tax. She then wanted to tip the baristas 20%. What was her total bill with tax and tip?

Answers

20.52 is the answer Sol ed

On​ Tuesday, it snowed 15 inches in 6 hours. On​ Friday, it snowed 30 inches in 8 hours. On which day did it snow at a greater rate each​ hour? How much more per​ hour? please answer asap

Answers

Answer: Friday, 1.25 more per hour

Step-by-step explanation: if we take the inches it snowed and divide it by the hours, we get the rate of snowfall for one hour. 15/6=2.5 and 30/8=3.75

To get how much more we take the bigger snowfall per hour minus the smaller snowfall per hour 3.75-2.5=1.25

7-3x=2x-8, How do you solved for x?

Answers

Answer:

x = 3

Step-by-step explanation:

7- 3x = 2x - 8

7 = 5x - 8                   Add 3x on both sides

15 = 5x                       Add 8 on both sides

3 = x                            Divide both sides by 5

A teacher wants to give each student 2 pencils. A store is selling pencils in boxes of 24. If the teacher has a total of 125 students, how many boxes of pencils should he buy? ​

Answers

Answer:

10.41

Step-by-step explanation:

hehe

Answer:

11

Step-by-step explanation:

Total number of pencils needed = 125 × 2 = 250

Total number of boxes = [tex]\frac{250}{24}[/tex] = 10.416

the teacher need to buy 11 boxes

Solve, 7x-5y=20
-8x-3y=12

Answers

Answer:

x=0 y=-4

Step-by-step explanation:

does anyone know this answer?

Answers

Answer:

2x = 40°

3x = 60°

4x = 80°

Step-by-step explanation:

2x+3x+4x = 180°

9x = 180

x = 20

SO

2x = 2(20) = 40°

3x = 3(20) = 60°

4x = 4(20) = 80°

2x=40
3x=60
4x=80
By 2x+3x+4x=180
9x=180 divided both side by 9
X=20

Check answer by subtitling
2(20)=40
3(20)=60
4(20)=80

Using the formula A = l w, determine the area of a rectangle when l = 3.7 and w = 4. Group of answer choices A.) 4.1 B.) 7.7 C.) 12.7 D.) 14.8

Answers

Answer:

D 14.8

Step-by-step explanation:

A=L*W which means length times width. 3.7x4= 14.8

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