What is percentage of values available between first and third quartile of this data set (8, 7, 3, 8, 14, 15, 20)?

Answers

Answer 1

Answer:

[tex]\%Pr =71.43 \%[/tex]

Step-by-step explanation:

Given

[tex]S = \{8, 7, 3, 8, 14, 15, 20\}[/tex]

[tex]n(S) = 7[/tex]

Required

Percentage of values between Q1 and Q3

We have:

[tex]S = \{8, 7, 3, 8, 14, 15, 20\}[/tex]

Sort

[tex]Sorted = \{3, 7, 8, 8, 14, 15, 20\}[/tex]

Q1 is calculated as:

[tex]Q_1 = \frac{n+1}{4}th[/tex]

[tex]Q_1 = \frac{7+1}{4}th[/tex]

[tex]Q_1 = \frac{8}{4}th[/tex]

[tex]Q_1 = 2nd[/tex]

The second element is: 7; So:

[tex]Q_1 = 7[/tex]

Q3 is calculated as:

[tex]Q_3 = 3*\frac{n+1}{4}th[/tex]

[tex]Q_3 = 3*\frac{7+1}{4}th[/tex]

[tex]Q_3 = 3*\frac{8}{4}th[/tex]

[tex]Q_3 = 3*2th[/tex]

[tex]Q_3 = 6th[/tex]

The sixth element is: 15; So:

[tex]Q_3 = 15[/tex]

From the sorted dataset, the data between Q1 and Q3 is:

[tex]Q_3&Q_1 = \{7, 8, 8, 14, 15\}[/tex]

[tex]n(Q_3&Q_1) = 5[/tex]

The percentage is:

[tex]\%Pr =\frac{n(Q_3&Q_1)}{n(S)} * 100\%[/tex]

[tex]\%Pr =\frac{5}{7} * 100\%[/tex]

[tex]\%Pr =\frac{5* 100}{7} \%[/tex]

[tex]\%Pr =\frac{500}{7} \%[/tex]

[tex]\%Pr =71.43 \%[/tex]


Related Questions

someone help me find what is m

Answers

Answer:

measure of angle F=    109 degrees

Step-by-step explanation:

I believe by m you are solving for angle F.  So, angle H =71 degrees. GF and HI are parallel. In order to find angle G, Take the supplementary of 71 degrees, so 180-71 = angle G =109 degrees. Because GH and FI are congruent, the angles should be same across the shape, so angle I 71 degrees. Quadrilateral has a total of 360 degrees, so, 360-71-109-71=109 degrees. In general, angke G would equal angle F because of the trapezoid properties that take place when both bases are parallel and two of the sides are congruent, the trapezoid is an isosceles trapezoid

Which is the correct way to calculate the area of a circle?

Answers

Answer:

Step-by-step explanation:

Answer:

You must find the diameter then half it, so the radius, and then multiply it by 3.14152

Step-by-step explanation:

(2,5) (0,-1)
whats the slope?​

Answers

Answer:

Step-by-step explanation:

An easy way to do slope is to know the formula which is (y1-y2)/(x1-x2)

In this case you have two points (2,5) and (0,-1)

2 = x1 (cause it’s the first x)

5 = y1 (cause it’s the first y)

0 = x2 (second x)

-1 = y2 (second y)

So the slope would be

(5-(-1))/2-0= 6/2 = 3

M= y2-y1
——— y2=-1, y1= 5|| x2=0, x1=2
x2-x1
Plug in the blanks and dont forget to simplify

To make 12 cookies, you need 1.25cups of all-purpose flour, 110grams of butter, half cup of brown sugar and 1 teaspoon (tsp) of baking soda, what is the ratio of brown sugar is to baking soda is to butter to make 24 cookies is ?

Answers

Answer:

1 cup of brown sugar to 2 teaspoon of baking soda

Step-by-step explanation:

Given that 1.25cups of all-purpose flour, 110grams of butter, half cup of brown sugar and 1 teaspoon (tsp) of baking soda is needed to make 12 cookies. Therefore to make 24 cookies, double of this value would be needed.

Hence, 2.5 cups of flour, 220 grams of butter, 1 cup of brown sugar and 2 teaspoon of baking soda would be needed to make 24 cookies.

The ratio of brown sugar is to baking soda is to butter to make 24 cookies = 1 cup / 2 teaspoon = 1 cup of brown sugar to 2 teaspoon of baking soda

What’s the answer hurry

Answers

Answer:

Choice C: Lauren is faster than Kevin, slower than Jeremy.

Step-by-step explanation:

Ok, so it directly says that Jeremy is going at y=12x, or 12 miles per hour. To find how fast Kevin is riding, take two points of the table and use the slope formula to get the speed(.

Slope Formula: (y2-y1) / (x2-x1)

So lets take the table plots (2, 22) and (4, 33) to do this.

(y2-y1) / (x2-x1)

(33-22) / (4-2)

(11) / (2)

The speed of Kevin is 5.5 miles by hour.

Then, it asks for how fast Lauren is going, saying she is twice as fast as Kevin. Therefore, simply do:

5.5 * 2 = 11 miles per hour

To get the third biker's speed.

Now, with all of the speeds of the bikers, we can now compare them. Here's a listing of their speeds to make things easier to compare:

Jeremy: 12 mph

Kevin: 5.5 mph

Lauren: 11 mph

From this, we can see that Lauren is the second fastest. She is slower than Jeremy but faster than Kevin. Therefore, the correct answer choice is C.

Can anyone help me with this please?

Answers

Answer:

The ones selected are correct

Find the exact value of tan A in simplest radical form

Answers

Answer:

tan A = 1.8

Step-by-step explanation:

tan A = 14/√60 = 1.8

where would the line y=x+7 cross the y axis? how do you know?

Answers

it would cross at (0,7) because the 7 in the equation is the y-intercept.

Answer:

At point (0, 7)

Step-by-step explanation:

The line crosses with y-axis when x = 0:

y = 0 + 7 = 7

The y-intercept is the required point and its coordinates are (0, 7)

2 7. Which numbers in the set {2,3,4,5} are solution(s) to the inequality 16 - 3x > 5?

A. 2 only
B. 3 only
C. 2 and 3
D.3,4, and 5​

Answers

Djdhhzns DVD’s hdudjdbdbbd

Which of the following are solutions to |x+3|= 4x- 7

Answers

decimal form : 3.3333
mixed number form : 3 1/3
exact form : 10/3

Answer: 10/3 or 3.33

Step-by-step explanation:

A florist used 14 flowers to make a bouquet including 6 daisies what is the probability that a randomly selected flower will be a daisy

Answers

Answer:

3/7(when simplified)

Step-by-step explanation:

there are 6 daisies out of 14 flowers and so the probability would be 6/14. When simplified, the answer would be 3/7

WHATS THE AREA PLSSSSS

Answers

Answer:

34 in

Step-by-step explanation:

Trapezoid Area Formula: A= 1/2h (base 1 + Base 2)

A= 1/2(4)* (12+5)

A= 2 *(17)

A= 34 in  

I hope this helped :)

Write (43)5 as a single power of 2​

Answers

Answer:

Inserting the squared symbol on your Android smartphone is relatively easy and straightforward. To insert the squared sign, just long-press the number 2 and it will insert the superscript ².

Step-by-step explanation:

How many blocks with dimensions of a 3x1x1 can fit in a unit cube?
2
3
6
9

Answers

3 , hope this helps you

The yearbook has 12 pages for ads. Each page measures 6 in. By 12 in. Each ad measures 6 in. By 3 in. If all the ad space sells at ​$10 per​ ad, how much money will this raise for the​ yearbook?

Answers

Answer:

$480

Step-by-step explanation:

Each page measures 6 in. By 12 in. Each ad measures 6 in. By 3 in

based on the dimensions, there would be 4 ads per page

total ads in 12 pages = 4 x 12 = 48

total cost of ads = 48 x 10 = 480

PLSSSS HELPP MEEEEE BRAINLIEST REWARDD

Answers

Answer:

40.) the third one

42.)the last one

Step-by-step explanation:

1. The function would increase at a faster rate
2. The quotient of two polynomials is always a polynomials

guys whats 10x10 pls help me thank you

Answers

It's 100 ... ... ... ... ...

4. Tyquan had his car towed by Lakeview's Towing Service. It cost him $3.00 per mile to have it towed
plus a flat fee of $70.00. The function for his cost is represented by the function C(m) = 3m + 70. What
does C(22) represent in this situation?
a. Tyquan had hisbear towed for 136 mile and it cost $22.00
b. Tyquan had his car towed for 22 miles and it cost him $136.00
c. Tyquan had his car towed for 3 miles at $70.00
d. Tyquan had his car towed 22 miles for $70.00

Answers

The answer is b. because the other ones don't charge money according to the number of miles.

Answer:

The structure that you used in your research paper can also be used for your presentation. For example, just like how your

Step-by-step explanation:

Please Help Me With This Problem.
A grocery store receives a shipment of potatoes weighing a total of 180-pounds. The shipment contains six 10-pound bags of potatoes and an unknown number of 5-pound bags of potatoes. Write and solve an equation so that you can describe the number of 5-pound bags of potatoes in the shipment. You got this.

Answers

Answer:

10(6) + 5x = 180

60 + 5x = 180

- 60 - 60

---------------------

5x = 120

------------

5 5

x = 24

Step-by-step explanation:

The shipment contains a total of 180 pounds of potatoes. There are two types of bags of potatoes. One weighing 10 pounds and the other weighing 5 pounds. There are 6 bags of potatoes weighing 10 pounds each and x bags of potatoes weighing 5 pounds each. Two numbers can be added up to bring a total of 180 so we can write this equation as 10(6) + 5x = 180. This problem speaks of pounds in particular so that is why 10 and five go in front of the secondary numbers. After that, just solve. The steps are shown above. ^^^ If I am wrong, please let me know. I hope this helps! :D

Your house had a value of $480,000 and increased in value by 3.5%. How much is your house worth now?

Answers

Answer:

$496,800

Step-by-step explanation:

Present cost = $480,000

%increase = 3.5%

Present price of the house = 480,000 + 3.5% of 480,000

= 480,000 + 0.035 * 480,000

= 480,000 + 16,800

= $496,800

Present price of the house = $496,800

is 3 bigger than 3.3

Answers

Answer:

No.

Step-by-step explanation:

3.3 is bigger than 3 by .3: )

Answer:

no.

3.3 > 3

Step-by-step explanation:

Plzzz HUURRYYY and pls explain

Complete the working to expand and simplify:
3x(4x + 2) + 3(x + 4) = 12x2 +
X +
X +

Answers

Use photo math my bro

A sample of juniors and seniors were asked if they plan to attend college.

One surveyed student is selected at random. Select all that apply. Percents are rounded.

A. The probability the student is a junior is 52%.

B. The probability the student plans to attend college is 70%.

C. Given the student plans to attend college, the probability the student is a junior is 68%.

D. Given the student is a junior, the probability the student plans to attend college is 68%.

E. Events "is a junior" and "plans to attend" are independent.

F. Events "is a senior" and "plans to attend" are independent.

Answers

Answer:

From the survey, the following apply to both Junior and Seniors who were asked about their plan towards attending college:

C. Given the student plans to attend college, the probability the student is a junior is 68%.

D. Given the student is a junior, the probability the student plans to attend college is 68%.

F. Events "is a senior" and "plans to attend" are independent.

B. The probability the student plans to attend college is 70%.

Step-by-step explanation:

How long is a pencil the nearest inch and to the nearest centimeters?

Answers

Answer:

A standard hexagonal pencil is approximately 7.5 inches in lenght. This is 19 centimeters when converted.

The question says to the nearest inch. Therefore we have to approximate to to a whole number.

7.5, when rounded up to the nearest number, is 8 inches.

Hence, the answer is 8 inches or 19 centinmeters.

Cheers

Tyleris making invitations to the fair. He has already made some of the invitations, and he wants to finish the rest of them within a week. He is trying to spread out the remaining work,to make the same number of invitations each day. Tylerdrawsa diagram to represent the situation.

Answers

Answer:

Tyler should make 8 a day. You do 122-66 which is 56 and there are 7 days in a week so 56 divide by 7 is 8.

Tyler has to make 8 invitations each day.

What is an Equation?

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that,

Total number of invitations to the fair = 122

Already, 66 invitations has been made.

Remaining invitations = 122 - 66 = 56

56 invitations has to be made in a week or 7 days.

Let x be the number of invitations made each week.

x = 56 / 7 = 8

Hence 8 invitations has to be made each day.

Learn more about Equations here :

https://brainly.com/question/30066982

#SPJ2

Your question is incomplete. The complete question is as follows.

Tyler is making invitations to the fair. He has already made some of the invitations, and he wants to finish the rest of them within a week. He is trying to spread out the remaining work, to make the same number of invitations each day. Tyler draws a diagram to represent the situation.

The total of the x's and 66 is 122.

How many total invitations is Tyler trying to make?

The solution set of the inequality 2x – y > 2 consists of all the points ?_the line ?
O
above; y = 2x - 2
below; y = 2x - 2
above; y = -2x + 2
below; y = -2x + 2
0

Answers

Answer:

Step-by-step explanation:

You select a marble without looking and then put it back. If you do this 12 times, what is the best prediction possible for the number of times you will pick a pink marble? there are 3 pink marbles

Answers

Answer:

6 times

Step-by-step explanation:

If there are total of 6 marbles and 3 are pink, then you will have a one half (or 50%) chance of picking a pink marble. Because you put the marble back each time, your chance of picking a pink marble remains the same every time.

So one half of 12 is 6. You are predicted to pick a pink marble 6/12 times.

Find x.
[tex] \frac{x}{x + 7} = \frac{16}{22} [/tex]
The equals is for proportionate I couldn't find the symbol for it.​

Answers

According to the property of proportions,

Product of means = Product of extremes

x and 22 are extremes. (x + 7) and 16 are means.

So, simply we did cross multiplication.

Step-by-step explanation:

56/3 is the answer. Refer to the attachment for the solution. :)

What is the equation of the line that passes through (3.-1) and is parallel to the line y = 3x + 2?​

Answers

Answer:

[tex]y=3x-10[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope and different y-intercepts

1) Determine the slope (m)

[tex]y = 3x + 2[/tex]

From the given line, we can identify clearly that 3 is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're solving for will also have a slope of 3. Plug this into [tex]y=mx+b[/tex]:

[tex]y=3x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=3x+b[/tex]

Plug in the given point (3,-1)

[tex]-1=3(3)+b\\-1=9+b[/tex]

Subtract 9 from both sides

[tex]-1-9=9+b-9\\-10=b[/tex]

Therefore, the y-intercept of the line is -10. Plug this back into [tex]y=3x+b[/tex]:

[tex]y=3x-10[/tex]

I hope this helps!

Find the equation of the circle with center (4, 4)
and radius of 7.
A (x-4)+(y+4)*= 49
B (x– 4) +(y - 4) = 49
C (x+4)² – (y + 4) = 7
D (x+4)*+(y+4)2=7

Answers

general equation of a circle is (x+a)^2 + (y+b)^2 = radius ^2
a and b are the centre and you put in the inverse so as x=-4, a=-4. same for b as the y-coordinate is positive, it becomes negative
the last part is the radius of the circles squared so just 7^2 = 49 !
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