Answer:
Step-by-step explanation:
first arrange the data from ascending to decending order
1,5,8,10,11,14,17,19,20,23
Q1=(N+1)/4
=(10+1)/4
=11/4
=2.75
=2 nd item+(3 rd -2 nd)term
=5+(8-5)
=5+3
=8
Q2=(N+1)/2
=(10+1)/2
=11/2
=5.5 term
=(5 th term+6 th term)
=(11+14)/2
=25/2
=12.5
Q3=3(N+1)/4
=3(10+1)/4
=3*11/4
=33/4
=8.25
=8 th term +(9 th -8 th )term
=19+(20-19)
=19+1
=20
Everything = 180 degrees
2X = 180 - 40 - 40 -30
2x = 70
X= 35
"The discriminant is prime?" I haven't heard that one before.
Here are the general rules:
1. a positive discriminant results in two real, unequal roots.
2. a zero discr. results in two real, equal roots.
3. a negative discr. results in two complex roots, which sometimes means two imaginary roots.