Pythagorean theorm is a^2+b^2=c^2
so 10^2+ 24^2 =c^2
100+576=c^2
676=c^2
26=c
|Ω| = 6 - number of all results
A = {1, 3} → |A| = 2 - number of (a) results
P(A) = 2/6 = 1/3
The third equation is correct. The easiest way to solve a problem like this is to plug the x-values from the chart into the equations and see which one equals the y-value in the chart.
The scneario here expressed is an aritmetic sequence because it can be explained like this:
<span><span><span>a1</span>=35
</span><span><span>an</span>=<span>a<span>n−1</span></span>+<span>17
So all the variables can fit in and will be better explained than a geometric sequence in which you need a common ratio and that is not needed in this case</span></span></span>
Answer:
There were 26 students in his class and the teacher had 83 ml of the solution.
Step-by-step explanation:
Mr. Kohl has a "x" amount of solution, if he divides it by the number of students "n" he'll give each student 3 milliliters and have a left over of 5 milliliters. If the amount of solution Mr. Kohl had was "x + 21" then he'd be able to give each student 4 milliliters of the solution. From these informations we have:
x = 3*n + 5
(x + 21)/n = 4
x + 21 = 4*n
x = 4*n - 21
Now that we have two equations and two variables we can solve the system of equations, as seen bellow:
3*n + 5 = 4*n - 21
3*n - 4*n = -21 - 5
-n = -26
n = 26
x = 4*26 - 21 = 83 ml
There were 26 students in his class and the teacher had 83 ml of the solution.
