1answer.
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
mestny [16]
3 years ago
15

Set X consists of 100 numbers. The average (arithmetic mean) of set X is 10, and the standard deviation is 4.6. Which of the fol

lowing two numbers, when added to set X, will decrease the set’s standard deviation by the greatest amount?
A. -100 and -100
B. -10 and -10
C. 0 and 0
D. 0 and 20
E. 10 and 10
Mathematics
1 answer:
kompoz [17]3 years ago
5 0

Answer:

E. 10 and 10

Step-by-step explanation:

Standard Deviation is the square root of sum of square of the distance of observation from the mean.

Standard deviation(\sigma) = \sqrt{\frac{1}{n}\sum_{i=1}^{n}{(x_{i}-\bar{x})^{2}} }

where, \bar{x} is mean of the distribution.

Here, since standard deviation is the ratio of the distance from the mean and sample size. So for decreasing the standard deviation we should keep numerator constant and increasing the denominator.

This can be only possible in option (E).

Hence, only Option (E) is correct.

You might be interested in
X,y and z are three consecutive even numbers if y^2 - 2 = 2x + 5Z find x,y and z​
Rama09 [41]

Answer:

6, 8, 10

Step-by-step explanation:

x y and z are three consecutive even numbers

it means that you can write y = x + 2

and z = y + 2 = x + 4

so

  y^2-2=2x+5z\\  (x+2)^2-2=2x+5(x+4)\\x^2+4x+4-2=2x+5x+20

  x^2+4x+2=7x+20\\x^2+4x+2-7x-20=0\\x^2-3x-18=0\\(x+3)(x-6)=0(x=-3\ or \ x=6)

so the solutions are

x = 6

y = 8

x = 10

6 0
2 years ago
Read 2 more answers
What is the pattern in the numbers 2,3,5,7,11,13
Rama09 [41]

Answer:

the number that repeat is number 2

7 0
3 years ago
Read 2 more answers
What is the inverse of f(x)=(x+6)2 for x≥–6 where function g is the inverse of function f? g(x)=x√−6, x≥0 g(x)=x−6−−−−√, x≥6 g(x
rosijanka [135]

Answer:

g(x)=\sqrt{x}-6, x>=0

Step-by-step explanation:

f(x)=(x+6)^2

To find the inverse function , replace f(x) by y

y=(x+6)^2

Replace x with y and y with x

x=(y+6)^2

Solve the equation for y

take square root on both sides

+\sqrt{x} =y+6

Now subtract 6 from both sides

+\sqrt{x}-6=y

replace y with g(x)

g(x)=\sqrt{x}-6

7 0
3 years ago
30 + 40 = <br> 40+10=<br> 50+0=<br> 40+10=
Oliga [24]

Answer:

70

50

50

50

The easiest way to do it is to add the first digits then add the zero.

Hope that helps and have a great day!

3 0
2 years ago
Read 2 more answers
In professor shannon's economics class there are 12 male students. females represent 60% of the class total. how many students d
Mekhanik [1.2K]
He has 30 students in his class because 40% of the class is boys and there is 2.5 40% in 100% so we do 12 x 2.5

6 0
3 years ago
Read 2 more answers
Other questions:
  • If m 1 = 30° and m = 20°, then m =
    14·1 answer
  • One number is six times another number. Their difference is 35. What are the two numbers?
    9·2 answers
  • What is the area of this trapezoid?<br><br><br><br><br> Enter your answer in the box.
    14·1 answer
  • From a balloon 1191 feet high, the angle of depression to the ranger headquarters is 72°54'. How far is the headquarters from a
    15·1 answer
  • Write k divided by 11 is 7 in and equation
    10·2 answers
  • Which is larger, 7/10 or 3/4?
    15·2 answers
  • Write a linear function f with the given values.<br><br> f(x) =
    6·1 answer
  • I NEED HELP ON THIS QUESTION PLS.
    6·1 answer
  • Which numbers are divisible by 5?<br><br> A)198<br><br> B)370<br><br> C)535<br><br> or non of these
    13·1 answer
  • Solve for the indicated variable.<br><br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bg%7D%7Bh%7D%20%3D%20e%20-%2010" id="TexFor
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!