Answer:
Step-by-step explanation:
Given :
Total students = 30
Students passed chemistry exam = 20
Students passed physics exam = 14
Students passed both exams = 6
To find: Venn diagram
Solution:
Total students = 30 i.e. U = 30
Students passed chemistry exam = 20
Students passed physics exam = 14
Students passed both exams = 6
Students passed only chemistry = 20-6 =14
Students passed only Physics = 14-6=6
So refer the attached figure for the Venn diagram
Answer:
2/9
Step-by-step explanation:
given that Tyler selects one card from the three(4,5, and a King), and rolls a number cube.
We find that A the event of selecting one card and B getting a number on rolling a number cube are independent events.
No of cards = 3
Prob of selecting 5 from 3 cards =
When rolling a number cube (assuming fair) there is equally likely for all numbers to appear from 1 to 6
Prob of getting 5 =
Prob of getting less than 5 =
Since these two events are independent,
the probability that she selects the 5, and rolls a number less than 5
= Product of probabilities
= *
=
Answer:
Step-by-step explanation:
The equation represents the discriminant of a quadratic. It is the part taken from under the radical in the quadratic formula.
For any quadratic:
In the graph, we see that the equation intersects the x-axis at two distinct points. Therefore, the quadratic has two solutions and the discriminant must be positive. Thus, we have .