Answer:
sorry no cheating
Step-by-step explanation:
Answer:
this equation has exactly one solution ( unique )
Answer:
I am so sorry but I am stronger in math.
Step-by-step explanation:
Answer:
65.3%.
Step-by-step explanation:
The general formula is:
nCr p^r (1 - p)^(n-r) where n = number of trials, p =probability of success on one trial , r = the given number of successes
So for 2, 3 or 4 success ;
probability = 5C2 (0.4)^2 (0.60)^(5-2) + 5C3 (0.4)^3 (0.60)^(5-3)
+ 5C4 (0.4)^4 (0.60)^(5-4)
= 0.3456 + 0.2304 + 0.0768
= 0.6528.
The vertex is at (2, 5).
To find the vertex, we first find the axis of symmetry; this is given by
x = -b/2a
For our equation, b = -16 and a = 4:
x = -(-16)/2(4) = 16/8 = 2
We substitute this back into our equation:
y = 4(2)² - 16(2) + 21 = 4(4) - 32 + 21 = 5
Therefore the vertex is at (2, 5).