What is the interquartile range of this data set 1,5, 12, 14, 29,45,48,61,72,84,96
Viefleur [7K]
There are 11 numbers
Lower quartile = 3rd number = 12
Upper quartile = 8th number = 72
Interquartile range = 72-12 = 60
Can someone please help me answer this problem
You have to say how diagrams and equations help to figure out ratio and rate problems, you have to figure it on your own, there really isnt an exact answer
(x • (y³)) - 32xyz²
Pull out like factors :
xy³ - 9xyz² = xy • (y² - 9z²)
Factoring: y² - 9z²
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A² - AB + BA - B² =
A² - AB + AB - B² =
A² - B²
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 9 is the square of 3
Check : y² is the square of y¹
Check : z² is the square of z¹
Factorization is : (y + 3z) • (y - 3z)
Final result :
xy • (y + 3z) • (y - 3z)