All categories

2 years ago

How many pairwise comparisons must you make for a case with 15 statistically independent scenarios?

Mathematics

1 answer:

Levart [38]2 years ago

3 0

There are 105 comparisons made with 15 statistically independent scenarios.

According to the statement

we have given value of n is 15.

Then r = 2. so,

we use the formula NcR then

Substitute the values in it then

15c2

we open it according to ncr formula

In this formula we arrange the terms according to the following

NcR formula = n! /r! * (n-r)!

then the terms will arrange in this way.

So,

ncr = 15! / 2! * 13!

After solving the statement some terms will be cancel with each other and remaining terms are

ncr = 15*14/2

ncr = 210/2

ncr = 105

here the value becomes 105.

So, There are 105 comparisons made with 15 statistically independent scenarios.

Learn more about COMBINATION here brainly.com/question/12725706

#SPJ4

You might be interested in

What is the value of x in the equation 2(x−3) 9=3(x 1) x? x = −3 x = −1 x = 0 x = 3

Masja [62]

The solution of the linear equation is x = 0.

<h3>What is the linear equation?</h3>

An equation is a mathematical statement, which has an equal sign (=) between the algebraic expression.

Linear equations are the equations of degree 1.

The given linear equation is;

$\rm 2(x-3)+ 9=3(x+ 1) +x$

The value of x is determined in the following steps given below. $\rm 2(x-3)+9=3(x+1)+x\\\\2x-6+9=3x+3+x\\\\\ 2x+3=4x+3\\\\3-3=4x-2x\\\\0=2x\\\\x=0$

Hence, the solution of the linear equation is x = 0.

To know more about linear equations click the link given below.

brainly.com/question/5085290

8 0

2 years ago

Determine if events A and B are mutually exclusive.

gladu [14]

Answer:

A) Not mutually exclusive

Step-by-step explanation:

Given

$P(A) = \frac{1}{4}$

$P(B) = \frac{3}{5}$

$P(A\ or\ B) = \frac{7}{10}$

Required

Determine if they are mutually exclusive or not

Mutually exclusive are defined by:

$P(A\ or\ B) = P(A) + P(B)$

So, we have:

$P(A\ or\ B) = \frac{1}{4} + \frac{3}{5}$

Take LCM

$P(A\ or\ B) = \frac{5+12}{20}$

$P(A\ or\ B) = \frac{17}{20}$

By comparing:

$P(A\ or\ B) = \frac{17}{20}$ ---- Calculated

$P(A\ or\ B) = \frac{7}{10}$ ---- Given

We can conclude that A and B are not mutually exclusive because:

$\frac{17}{20} \ne \frac{7}{10}$

6 0

3 years ago

Which of the equations below could be the equation of this parabola?

Mademuasel [1]

Answer:

Option B: $y = -\frac{1}{2} x^2$

Step-by-step explanation:

The parabola has its concavity downwards, so we need a function in the model:

$y = ax^2 + bx + c$

With a negative value of 'a'

The vertex is (0,0), so we have that:

$0 = 0a + 0b + c$

$c = 0$

The x-coordinate of the vertex is given by the equation:

$x\_vertex = -b/2a$

$-b/2a = 0$

$b = 0$

So we have a function in the model:

$y = ax^2$

With a < 0

The only option with this format is B:

$y = -\frac{1}{2} x^2$

7 0

3 years ago

miguel is making an obstacle course for feild day.at the end of every sixth of the course is a tire.at the end of every third of

Bogdan [553]

I hope this helped! Good luck

8 0

3 years ago

The population of a town increased from 3650 in 2012 to 4700 in 2014. Find the absolute increase.

aev [14]

Treat this like a slope formula. Y2-y1 divided by x2-x1.
Your y2 value is the second population
Y1= value of first population.
X2= second year they give
X1= first year they give.
4700-3650
_________
2014-2012

1050
____
2

525 is the increase a year

8 0

3 years ago