Answer:
20 percent
Step-by-step explanation:
25 students play sports
5 out of 25 students play sport and have no job
so 5/25
5/25= 1/5
1/5 = 20%
This is a combination problem.
Given:
12 students
3 groups consisting of 4 students.
Mark can't be in the first group.
The combination formula that I used is: n! / r!(n-r)!
where: n = number of choices ; r = number of people to be chosen.
This is the formula I used because the order is not important and repetition is not allowed.
Since Mark can't be considered in the first group, the value of n would be 11 instead of 12. value of r is 4.
numerator: n! = 11! = 39,916,800
denominator: r!(n-r)! = 4!(11-4)! = 4!*7! = 120,960
Combination = 39,916,800 / 120,960 = 330
There are 330 ways that the instructor can choose 4 students for the first group
Answer:
Time t = 1.39 seconds
Step-by-step explanation:
Given;
Initial velocity v = 20 ft/sec
height equation;
h = -16t^2 + 20t + 6
How long does it take for the disc to be caught 3 feet off the ground;
At this point h = 3
Substituting h = 3 into the height equation;
3 = -16t^2 + 20t + 6
-16t^2 + 20t + 6 - 3 = 0
-16t^2 + 20t + 3 = 0
Solving the quadratic equation;
t = 1.39 or t = -0.14
Since t cannot be negative;
Time t = 1.39 seconds
Step-by-step explanation:
y=107(vertically opposite angles)
x=180-107=73(angles on a straight line)
z=73(vertically opposite angles)
The two points where they end and the point where they start form a right triangle, one leg is 12, the other leg is 15, you need to find the hypotenuse.
use the Pythagorean theorem: 12²+15²=c²
c≈19
they are about 19 feet apart.
