Answer:
500
Step-by-step explanation:
Why not start out by writing a linear relationship for the plant height?
h(m) = 10 + 3m, where h is the height in mm and m is the time in years, starting from zero (0).
After 8 months, the plant height is h(8) = 10 mm + 3(8) mm, or 34 mm.
After 3 years (36 months), the plant ht. is h(36) = 118 mm.
Answer:
The most likely outcome is exactly 4 free throws
Step-by-step explanation:
Given
--- attempts
---- probability of a successful free throw

Required
A histogram to show the most likely outcome
From the question, we understand that the distribution is binomial.
This is represented as:

For x = 0 to 5, where x represents the number of free throws; we have:


















From the above computations, we have:





See attachment for histogram
<em>From the histogram, we can see that the most likely outcome is at: x = 4</em>
<em>Because it has the longest vertical bar (0.4050 or 40.5%)</em>
The negative 4 in the parenthesis caused the graph to move four units to the right.
A system is linearly dependent, when multiplying one of the equations by a scalar, you get the other equation.
We then have the following system of equations:

Let's rewrite the system of equations.
To do this, let's multiply equation 1 by scalar -2:

We observe that we obtain equation 2 of the system.
Therefore, the system is linearly dependent.
Answer:
the following system is dependent:
x - y = 2 and -2x + 2y = -4