<u><em>Answer:</em></u>
a. The point (4,9) appears in both tables
<u><em>Explanation:</em></u>
<u>Note:</u> This question can be solved without the need of the tables
<u>A solution of a system of equations</u> is defined as a point (or set of points) that satisfy both equations
<u>This means that,</u> this point should belong to all the equations in the system
Now, a table is used to show a set of points that belong to a certain line
This means that, all vales in the table belong to the line they represent
<u>Since the point (4,9) appears in both tables</u>, therefore, it belongs to both lines and, therefore, is a solution to the system of equations consisting of these two lines
Hope this helps :)
Option C: 
is the predicted population when 
Explanation:
The regression equation for an exponential data is 
Where x is the number of years and
y is the population
We need to determine the predicted population when
The population x can be determined by substituting in the equation
Thus, we have,
Using the logarithmic definition 
then 
Rounding off to the nearest whole number, we get,
Thus, the predicted population when is 316
Hence, Option C is the correct answer.
We use the z statistic:
z = (x – u) / s
But first let us calculate the standard deviation s,
sample x and mean u.
s = sqrt (n p q)
s = sqrt (112 * 0.77 * (1 – 0.77))
s = 4.45
x = 0.81 * 112 = 90.72
u = 0.77 * 112 = 86.24
So the z score is:
z = (90.72 – 86.24) / 4.45
z = 1.00
From the standard tables, the P value at z = 1.00 using
right tailed test is:
<span>P = 0.1587 = 15.87%</span>
An angle formed by a chord and a tangent line is half the measure of the intercepted arc.
The intercepted arc is ADB, which is given as 162 degrees.
Angle EAB = 1/2 of 162
The answer is 81 degrees.
When the demand and supply curve intersect, that is, where the quantity demanded and quantity supplied are equal, the market is said to be in equilibrium. Thus, the given quantity is equilibrium quantity.
From the graph, we see that when the production cost of wheat is $4, the equilibrium quantity is 600 units.
When the production cost lowers from $4 to $3, the supply of wheat increases, such that the equilibrium quantity increases from 600 units to 800 units.
Thus, after an increase in supply, the equilibrium quantity increases.
So, Option A is the correct answer.
