<span>Which of the following is not an acceptable form of proof
a. two-column proof
b. indirect proof
c. conjecture proof
d. flowchart proof
</span>....
. It would be an indirect proof that is not an acceptable form of proof. This is because this type proof is not used by any problem (B) is the answer
Volume of a pyramid =1/3B*H
B is Area of base here base is triangle
so Area of a triangle=1/2*b*h
=1/2*5*12
=30 cm^2
Volume=1/3*30*H
90=1/3*30*h
90*3/30=h
(volume is given)
h=9 cm
Notice that 25+23+17+14+12+9=100, so among these students there are no 2 studying 2 subjects.
The probabilities of selecting students studying a certain subject are as follows
P(physics)=25/100
P(chemistry)=17/100
P(maths)=9/100
P(sociology)=23/100
P(political sciences)=14/100
P(anthropology)=12/100
since all the sets are disjoint, that is there are no common elements, and since all the students in consideration are enrolled in one these 6 subjects:
P(physics)+P(chemistry)+P(maths)+P(sociology)+P(political sciences)
+P(anthropology)=1
P(a)=P(sociology)+P(political sciences)+P(anthropology)+P(physics)
thus
P(a')=1-P(a)=P(chemistry)+P(maths)=17/100+9/100=26/100=0.26
Answer: 0.26