Let be the set of all students in the <u>c</u>lassroom.
Let and be the sets of students that pass <u>p</u>hysics and <u>m</u>ath, respectively.
We're given
i. We can split up into subsets of students that pass both physics and math and those that pass only physics . These sets are disjoint, so
ii. 9 students fails both subjects, so we find
By the inclusion/exclusion principle,
Using the result from part (i), we have
and so the probability of selecting a student from this set is
Answer:
The equation is y = -3 + 3
Step-by-step explanation:
It will go through (0,3) and it wil go up 3 right one.
Answer:
A. △ABC and △JKL are similar.
Step-by-step explanation:
Since three angles of one triangle are congruent to three corresponding angles of the other triangle, the triangles are either congruent or similar. Since the side of one triangle is twice the length of the corresponding side of the other triangle, then the triangles are not congruent, but they are similar.
A. △ABC and △JKL are similar.
Answer:
m∠2= 86
Step-by-step explanation:
since they are vertical angles, that means they are both equal to eachother.
so lets set them equal!
17x+1=20x-14
17x+15=20x
15=3x
x=5
now input x into m∠2
m∠2 = 20(5) – 14 = 86
Answer:
8.9 cm
Step-by-step explanation:
We have