Answer:
18 like both.
Step-by-step explanation:
If there are 50 students and 3 like neither math or physics, then 47 of them either like one or both of the subjects. Adding up the 30 and 35, we get that 65 of the students like the two subjects collectively. Well that’s not right. We have overcounted the 65–47=18 students who like both subjects. Thus, 35–18=17 students only like physics.
Check: We have 3 students who like neither, 18 who like both, 17 who like just physics, and 30–18=12 who just like math. Adding them up, we have 18+17+12+3=50 students all togtether
Answer:
Step-by-step explanation:
Simplify the expression
Answer:
297.5 in
Step-by-step explanation:
Area of triangle = Base times Height divided by 2.
Base=35
Height=17
So, 35 x 17 = 595
595/2=297.5
(1 point) Consider the universal set U={1,2,3,4,5,6,7,8,9,10}, define the set A be the even numbers, the set B be the odd number
Sloan [31]
Answer:
a) AUC = {2,4,6,8,10}
b) BnC = {}
c) AnB = {}
d) B-C = B = {1,3,5,7,9}
Step-by-step explanation:
The set A is the even numbers, those that are divisible by two.
So A = {2,4,6,8,10}
B is the odd numbe.rs. An odd number is a number that is not divisible by two.
So B = {1,3,5,7,9}.
C = {4,5,6}, as the problem states
a) The union of sets is a set containing all elements that are in at least one of the sets. So the union of A and C is a set that contains all elements that are in at least one of A or C.
So AUC = {2,4,6,8,10}.
b) The intersection of two sets consists of all elements that in both sets. So, the intersection of B and C is the set that contains all elements that are in both B and C.
There are no elements that are in both B and C, so the intersection is an empty set
BnC = {}
c) Same explanation as b), there are no elements that are in both A and B, so another empty set.
AnB = {}
d) The difference of sets B and C consists of all elements that are in B and not in C. We already have in b) that BnC = {}, so:
B-C = B = {1,3,5,7,9}
