Let p: a triangle is acute.
let q: a triangle is equilateral.

if q is true, which statements must be true? select three options.

p ∨ q
p ∧ q
p → q
q → p
q ↔ p

An equilateral triangle has all three angles as 60 degrees, this also makes the triangle an acute triangle.  

This makes both p and q true.

P V q is also true, the V means “or”, so if either p or q is true the statement is true

p ∧ q means and, since both p and q are true, this is also true.

The left and right arrows means “implies”, so this is true if and only

     if the p is false or q is true (the sentence ((~p)vq) is true). Since Both p and q are true both the left and right arrows are true

The last one means equal and is true if both p and q are the same, which they are, so this is also true,.

All the given statements are true.,

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

15 batches are the most you can make

step-by-step explanation: