Given:
Total number of students = 27
Students who play basketball = 7
Student who play baseball = 18
Students who play neither sports = 7
To find:
The probability the student chosen at randomly from the class plays both basketball and base ball.
Solution:
Let the following events,
A : Student plays basketball
B : Student plays baseball
U : Union set or all students.
Then according to given information,




We know that,



Now,





It means, the number of students who play both sports is 5.
The probability the student chosen at randomly from the class plays both basketball and base ball is


Therefore, the required probability is
.
Answer:
11. 
12. 
13. 
Step-by-step explanation:
11. 
Using Formula:


12. 
Using Formula:


13. 
Using Formula:


Answer:
The equation in the polar form is;

Step-by-step explanation:
e = 3/4 > 1, we have an hyperbola
The polar equation of a conic is of the form;
For vertical directrix
For horizontal directrix

Where;
k = Distance from the focus to the directrix = 2
We have;


Which gives the equation in the polar form as follows;
.
9514 1404 393
Answer:
Step-by-step explanation:
If x is an odd integer, the next greater odd integer is x+2. The product is said to be 63, so the equation is ...
x(x +2) = 63
__
The equation can be rewritten as ...
(x +1)² = 64
x = -1 ±√64 = -1 ±8
The positive solution is x=7, so the positive set of integers is {7, 9}.
The negative solution is x=-9, so the negative set of integers is {-9, -7}.
Hello there,
3 1/4 - 1 7/8 as a mixed number
Answer: 