Answer: P(hist& french)=16/200=0.08
Step-by-step explanation:
To find the required probability we have to know what is the number of students that take both History and French ( Intersection of 2 circles in Venn diagram)
1. Lets find the number of students that take History or French or both.
We know that 8% from 200 take neither History or French. So number or students who take History or French or both is 200-200*0.08=184
2. Let number of students that takes French (or both Fr+Hist)=x (left circle)
So number of students that takes History (or both Fr+Hist)=4x (right circle)
So number of students that take both French+History= 10% from 4x or
0.1*4x=0.4x (circles' intersection)
3. Now we have the equation as follows:
x+4*x-0.4*x = 184
4.6*x=184
x=40 students takes French (or both French+ History)
4*x= 40*4=160 students takes History (or both French+ History)
10% from 160 =0.1*160=16 students takes both History and French
P(hist& french)=16/200=0.08
Answer:
The answers are A and B.
Step-by-step explanation:
Answer:
2h x (l+b)
2x10 X (12+10)
20 X 22
44 cm cube is your answer...
Proof: We know that angle CBA is congruent to angle FBA and
that angle CAB is congruent to angle FAB because the corresponding angles have the
same measure in degrees (as evidenced in the given equation). We see that angle
BCA is congruent to angle BFA by the reflexive property of congruence (More
accurately Third Angle Theorem). Therefore, we can conclude that triangle BCA
is congruent to triangle BFA because a pair of corresponding angles and the included side are equal, since the two triangles share a line segment (AB).