Answer:
the answer is 73
Step-by-step explanation:
H0: μ = 72
H1: μ ≠ 72
Given that the initial point of the vector is (1,-2) and the termination point of the vector is (0,0).
So, the tail of the vector is at point (1,-2) and the head of the vector is at (0,0). The vector,
, has been shown in the figure.
The magnitude of the vector:

The direction of a vector is the angle made by a vector with the positive direction of the x-axis.
From the figure, 


Hence, the required vector having a magnitude
and direction
has been shown in the figure.
Answer:
13
Step-by-step explanation:
y < 2/3x + 3
Explanation:
In the graph, the grey region corresponds to the region non-allowed by the inequality.
We see that for x=0, y is allowed to be only less than 3: this means that the correct inequality must be in the form y<mx+3, so only the 1st option or the 4th option.
In order to choose the correct option, we should find the value of m, the slope of the line in the graph. This slope can be found by calculating the variation of y divided by the variation of x:

Choosing for example the points x=0 (which corresponds to y=3) and x=3 (which corresponds to y=5), we find

So, the equation of the line is

and so the correct inequality is
