answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bekas [8.4K]
2 years ago
3

The interquartile range of the data set is 4.2, 2, 3, 3, 4, 5, 5, 6, 7, 9, 12Which explains whether or not 12 is an outlier?Twel

ve is an outlier because it is greater than the sum of 7 and 4.Twelve is an outlier because it is less than the sum of 7 and 6.Twelve is not an outlier because it is greater than the sum of 7 and 4.Twelve is not an outlier because it is less than the sum of 7 and 6.
Mathematics
2 answers:
loris [4]2 years ago
7 0
 12 is a outlier because it is basically the peak of the data set
allochka39001 [22]2 years ago
3 0

Answer with explanation:

The given data set having variate

2,2,3,3,4,5,5,6,7,9,12.

Interquartile range=4

→Number of variate in the data set is odd =11,so

→Median (Q)

=\frac{(n+1)^{th}}{2}\\\\=\frac{11+1}{2}=6^{th} term

 = 5

Q_{3}=\frac{6+7}{2}=6.5

Q_{1}=\frac{3+3}{2}=3

→"Interquartile" Range=Q_{3}-Q_{1}=6.5-3=3.5

To find outlier which is on the right side of fence ,we will adopt the following method

→ "Interquartile" Range × 1.5 +Q_{3}-Q_{1}

 =3.5 × 1.5 +6.5-3

  =5.25+3.5

 = 8.75

But, as in the question given

"Interquartile" Range=4

"Interquartile" Range × 1.5 +Q_{3}-Q_{1}

 =4 × 1.5 +6.5-3

  =6+3.5

 = 9.50→→Outer boundary

Means variate in data set shouldn't exceed 9.50,according to given set of variate in data set.

Option A: Twelve is an outlier because it is greater than the sum of 7 and 4.

You might be interested in
Given: 4d=1/3(c-d) Proof= c=13d
ikadub [295]

Answer:

c = 13d

Step-by-step explanation:

Given:

4d=1/3(c-d)

Open bracket

4d = 1/3c - 1/3d

Add 1/3d to both sides

4d + 1/3d = 1/3c

Simply 4d + 1/3d

12d+d/3 = 1/3c

13/3d = 1/3c

Make c the subject of the formula

c = 13/3d ÷ 1/3

c = 13/3d × 3/1

c = 13d

4 0
2 years ago
15) Bob has 12 black pen, 14 red pen, 15 green pens, 24 blue pens and 3 boxes of
cricket20 [7]

Answer:

13, 16, 18

Step-by-step explanation:

Sabemos que podemos calcular el total de plumas amarillos, por medio de la media.

16 = (12 + 14 + 15 + 24 + x + y + z) / 7

16 * 7 = 12 + 14 + 15 + 24 + x + y + z

112 = 65 + x + y + z

x + y + z = 112-65

x + y + z = 47

sabemos que la mediana es el valor medio, y que ese 46 debe dividirse entre 3 valores porque son 3 cajas, entonces debemos buscar los números adecuados para el valor 15 esté en la mitad, es decir de cuarto.

Sin meter los valores nuevos, el ranking sería así:

12

14

15

24

el 15 esta de tercero, para que quede de cuarto, debe tener dos valores por debajo y un por arriba, así:

X

12

14

15

y

z

24

Por lo tanto, valores mayores a 15 serían por ejemplo y = 16 y z = 18:

16 + 18 = 34

x = 47-34 = 13

quedaría:

12

13

14

15

dieciséis

18 años

24

Si recalculamos la media:

m = (12 + 14 + 15 + 24 + 13 + 16 + 18) / 7 = 16

8 0
2 years ago
A cone is cut out of the center of a pyramid with a rectangular base. The rectangular base has side lengths of 15 and 10 units.
Mekhanik [1.2K]

Answer:

Volume of shaded portion = (600 - 36π) units³

Step-by-step explanation:

Volume of the shaded portion = Volume of pyramid - Volume of cone

Volume of pyramid = ⅓*l*w*h

Where,

l = length of base of pyramid = 15 units

w = width of base of pyramid = 10 units

h = height of pyramid = 12 units

Plug in the values to find the volume of the pyramid

Volume of pyramid = ⅓*15*10*12 = 5*10*12 = 600 units³

Volume of Cone = ⅓πr²h,

Where,

r = radius = ½ of diameter = ½ of 9 = 3 units

h = height = 12 units

Volume of Cone = ⅓*π*3²*12 = ⅓*π*9*12

= π*3*12 = 36π units³

Volume of shaded portion = (600 - 36π) units³

3 0
2 years ago
The CEO of Millennium Dairy Product, a small venture among 10 partners each having 100,000 shares, sought to raise an additional
klemol [59]

Answer:

Millennium Dairy Product

a) Share of the company that SBI Caps should require today to get a required rate of return of 50%.

= 50%

b) If the company had 1,000,000 (100,000 x10) shares outstanding before the private placement, SBI Caps should purchase

1,000,000 shares = 50% of (1,000,000 + 1,000,000) shares

Assuming the founding promoters are not giving up their shares, instead, new equity shares are being issued.

c) The price per share SBI Caps should agree to pay, if her required return was 50% is

Rs.50 per share, which will provide the required additional equity financing of (Rs.50 million) since Rs.50 x 1,000,000 equals Rs.50 million.

d) Pre money and post money valuations:

These are based on the calculated Market Price of Rs.1,000 per share from the Price/Earnings Ratio.

Pre money valuation will be Rs.1,000 x 1,000,000 shares = Rs.1 billion

Post money valuation will be Rs.1,000 x 2,000,000 shares = Rs.2 billion

e) Carried interests of the VC and the promoters

VC's carried interest = share of profits = 50% xRs.50 million = Rs.25 million

Promoters' carried interest = Rs.25 million

Step-by-step explanation:

a) Calculation of share in the company:

SBI Cap's required rate of return is 50%

If she invests Rs.50 million today, her expected return will be equal to Rs.50 million x 50% = Rs.25 million

Since rate of return = Net Income/Initial Investment or (Current value of investment - Initial Investment)/Initial Investment.

This return will be equal to 50% of the total net income of Rs.50 million

b) Price/Earnings P/E ratio = Market price per share/Earnings per share (EPS)

Since P/E ratio of similar companies = 20 times,

The company's P/E = 20 times x EPS

With calculated EPS = Rs.50 million /1,000,000 = Rs.50

Therefore, price per share = 20 x Rs.50 = Rs.1,000

Pre money valuation = Rs.1,000 x 1 million shares = Rs.1 billion

Post money valuation = Rs.1,000 x 2 million shares = Rs.2 billion

c) The carried interest is the share of profits to which the promoters and the Venture Capitalists are entitled.  Their respective shares are 50% of the net income = Rs.25 million each.

d) The pre money and post money valuations:  The pre money valuation is the valuation of the company before the additional equity financing.  The post money valuation is the valuation of the company after the additional equity financing.  There are many ways to value a company.  In this case, we have used the P/E ratio as a basis for the valuation.  However, we did not dilute the earnings per share post money, for simplicity.

3 0
2 years ago
Jeff has recorded the cost of insurance premiums on his car for a particular insurance company.
9966 [12]

Answer:

are you in k12 or homeschooling i have seen this question before

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • A car enters a turnpike 22 miles north of a town. The car travels north at an average speed of 64 miles per hour. How far is the
    10·2 answers
  • The size of a large milkshake is 1.4 times the size of a medium milkshake. Write 1.4 as a percent
    13·2 answers
  • One of the parking lot lights at a hospital has a motion detector on it, and the equation (x+10)2+(y−8)2=16 describes the bounda
    12·2 answers
  • A. B. C. D. E. Which expressions listed on the left are equivalent to ? Check all that apply. (Assume that a ≠ 0.) A B C D E
    8·2 answers
  • A machine produces 268 bolts in 28 minutes. At the same rate, how many bolts would be produced in 21 minutes?
    13·2 answers
  • In March, Delphine's house had 40% more snowfall than in February. Delphine's house had f centimeters of snowfall in February.A.
    7·2 answers
  • 3. John has €500, and wants to go on a holiday, but does not have sufficient money. He decides to save €40 per week for a number
    12·1 answer
  • 1. Pilar and her sister Marisol live near the beach. Pilar has 80 seashells in her collection when Marisol started collecting se
    7·2 answers
  • Shelley's pet food store sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20. W
    11·3 answers
  • A vacation resort offers surfing lessons and parasailing. If a
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!