although none of these are right, C would make the most sense
Answer:
38
Step-by-step explanation:
The range is the difference between the highest value and the lowest value. Here the highest value is 55 and the lowest 17. Therefore, the range is take away 17 from 55 which equals to 38
You did it right (almost, I got 21 instead of 19) but didn't finish. You need to show your discriminant is never negative.
x² + (p+1)x = 5-2p
x² + (p+1)x +(2p-5) =0
Real roots mean a positive (or at least non-negative) discriminant:
D = b² - 4ac = (p+1)² - 4(1)(2p - 5) = p² + 2p + 1 - 8p + 20
D = p² - 6p + 21
It's not totally obvious that D>0; we prove that by completing the square by noting
(p-3)² = p² - 6p + 9
so
p² - 6p = (p-3)² - 9.
D = p² - 6p + 21
D = (p-3)² - 9 + 21
D = (p-3)² + 12
Now we clearly see D>0 always because the squared term can't be negative, so D is always at least 12. We always get two distinct real roots.
Answer:
probability of getting exactly 500 heads= 1
Step-by-step explanation:
If a coin is tossed, the probability of obtaining a head = 0.5
If a coin is tossed, the probability of obtaining a tail= 1- probability of obtaining a head
If a coin is tossed, the probability of obtaining a tail=1-0.5
If a coin is tossed, the probability of obtaining a tail=0.5
So if 1000 coin are tossed, the probability of getting exay 500 heads which is already the half of 1000 is 1
