How can you use the pattern in the table of combinations to find a number in pascals triangles

The pattern in the table of combinations can be used to find a number in Pascal’s triangle because each number in the triangle is the sum of the two numbers above it. For example, the number six is in the center of row four: which is the sum of three and three in the row above it. The very first and very last number in any row are always going to be one.

Check the values in the combination with respect to the pascal's triangle. Use the value of n to determine the row, and the value of r to determine the exact number on the row.

Step-by-step explanation:

For example, 5nCr2

Cr = combination

n= 5

n = 5th row

r= 2

r= the 2nd number on the fifth row after 1. When we count we don't include 1.

Using pascals triangle,

5nCr2 = 10

A sample of pascal's triangle has been attached to the solution.

Pascal's triangle involves the addition of numbers above to get the values below. The first number in the triangle is one. The next row, one is written twice forming a triangle. Let there be space between each number in the row.

1st row: 1

= 0 1 0

2nd row: 0+1 1+0 = 1 1

= 0 1 1 0

3rd row: 0+1 1+1 1+0 = 1 2 1

= 0 1 2 1 0

4th row: 0+1 1+2 2+1 1+0 = 1 3 3 1

The other rows follow same process.

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.