Answer:
Lacrosse = 62 students
Swimming = 62 students
Soccer = 124 students
Football = 186 students
Step-by-step explanation:
Based on the information, we can draw some equations
<em>1.</em> Lacrosse = Swimming
<em>2.</em> Soccer = 2 * Lacrosse
<em>3.</em> Football = 3 * Swimming
<em>4.</em> Football + Soccer + Swimming + Lacrosse = 434
Lets solve for once sport at a time, I will start with Football.
I will put equation 1, 2 and 3 into equation 4
3Sw + 2L + L + L = 434
We can now again put equation 1 into the new equation 4
3L + 2L + L + L = 434
Simplify
7L = 434
L = 434 ÷ 7
L = 62 students
Since L = Sw, 62 students did swimming also
We can put L into equation 2 to solve for So
So = 2 * 62
So = 124 students
And now we can put Sw into equation 3 to solve for F
F = 3 * 62
F = 186 students
A person eating at a cafeteria must choose 4 of the 13 vegetables on offer. calculate the number of elements in the sample space for this experiment.
Answer: The number of elements in the sample space for this experiment can be found using the combination formula because the order does not matter here.
Therefore, the number of elements in the sample space for this experiment is:




Therefore, the number of elements in the sample space for this experiment is 715.
Answer:
The telephone pole is 24 ft.
Step-by-step explanation:
30^2-18^2=b^2
900-324=b^2
576=b^2
\sqrt{576} =\sqrt{b^2}
24=b
b=height of telephone pole
Answer:500%
Step-by-step explanation:
The solution is in the file below