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
.
Total mold spores at end of 9.30 am is 26901.
Step-by-step explanation:
Number of molds = 14000
Rate = 9.7% per hour
Number of hours = 12 am to 9.30 am = 9
hours
Growth of mold = 14000 * 9.7% * 9
= 12901
Total mold spores at end of 9.30 am = 14000 + 12901
= 26901
Hence, the expected number of mold spores at 9.30 am is 26901.
1a) f(x) = I x+2 I. This is a piece-wise graph ( V form)
x = 0 →f(x) =2 (intercept y-axis)
x = -2→f(x) = 0 (intercept x-axis)
x = -3→f(x) = 1 (don't forget this is in absolute numbers)
x = -4→f(x) = 2 (don't forget this is in absolute numbers)
Now you can graph the V graph
1b) Translation: x to shift (-3) units and y remains the same, then
f(x-3) = I x - 3 + 2 I = I x-1 I
the V graph will shift one unit to the right, keeping the same y. Proof:
f(x) = I x-1 I . Intercept x-axis when I x-1 I = 0, so x= 1
Answer:

Step-by-step explanation:
The rectangle is rotated 90 degrees clockwise about the cross.
Answer:
50 miles
5x10=50
Step-by-step explanation: