The exact form of this would be 5squareroot of 2 or the decimal 7.0711
Answer:
Tree C was the tallest when planted.
Step-by-step explanation:
If you look at the graph you'll see that the height at 0 months is 10 inches.
Answer:
- vertex: (-5/8, 7/16)
- axis of symmetry: x = -5/8
Step-by-step explanation:
For quadratic ax²+bx+c, the axis of symmetry is located at x=-b/(2a).
Here, we have a=4, b=5, so the axis of symmetry is ...
... x = -5/(2·4) = -5/8
_____
The vertex y-value will be f(-5/8).
... f(-5/8) = (4·(-5/8) +5)·(-5/8) +2 = (5/2)·(-5/8) +2 = -25/16 +32/16
... f(-5/8) = 7/16
_____
The axis of symmetry is x = -5/8; the vertex is (-5/8, 7/16).
The 85th percentile is the cutoff time

such that

In other words, the 85th percentile refers to the time needed to belong to the top 15% of the distribution; more generally, the

percentile is the top

of the distribution.
Anyway, to find this value of

, transform

to a random variable

with the standard normal distribution using

where

is the mean of

and

is the standard deviation of

.

Here

is used to denote the z-score corresponding to the cutoff time

. Referring to a z-score table, you find that this occurs for

. So,