Can someone explain this tree diagram for me? i understand why it’s 0.7 and why it’s 0.3 but what i don’t understand why it’s 0.4 shouldn’t it be 0.1? shouldn’t it be 0.5 instead of 0.2?

66% have graduated within five years.

Step-by-step explanation:

It is given that 70% of freshmen went to public schools. Then the rest 30% i.e.,   should have gone to other schools.

Now, the number the freshmen in public schools is considered as 100% or 1.

60% of the freshmen from public schools have graduated means out of the total freshmen from public schools, 60% of them have graduated. That is why it is denoted as 0.6 and those not graduated as 0.4.

Note that 60% of total students have graduated.

Let us assume there were 100 students initially. Then 70 students went to public school. Number of students graduated = 60%

That is 42 students have passed from public school.

Now, the ones in other schools:

80% of them have graduated in other schools. That means out of total students 80% of them have graduated.

That means

24 students from other schools have passed.

Therefore, totally 66 students have passed. i.e., 66 percent have passed.

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: