Answer:
The null hypothesis is
, in which x is the proportion tested.
The alternative hypothesis is 
Step-by-step explanation:
A recent article in a university newspaper claimed that the proportion of students who commute more than miles to school is no more than x.
This means that at the null hypothesis, we test if the proportion is of at most x, that is:

Suppose that we suspect otherwise and carry out a hypothesis test.
The opposite of at most x is more than x, so the alternative hypothesis is:

Answer:
a) The discriminant of the equation = - 44
b)The nature of the roots will be imaginary.
c) 
Step-by-step explanation:
Here, the given expression is 
or, 
Now the discriminant (D) of a quadratic equation 
D = 
Hence, the discriminant of the equation = - 44
As D< 0, so the roots will be imaginary.
Now,by quadratic formula : 
So, here 
So, either 
or, 
Just look at it this way do 8(1) instead of x and graph that on the x axis
then do 4(1)instead of y and graph on the y axis then figure out which numbers you need to keep inputting until you reach 56 on the graph.
Answer:
3
Step-by-step explanation:
Answer:
x+2y=6
Subtract 2y from both sides.
x=6−2y
Step-by-step explanation:
x=6-2y