Answer:
1/2x = 16
x = 32
Step-by-step explanation:
Subtracting a value from the input x shifts the graph that number of units to the right.
The answer would be C.
Answer:
180 minutes
Step-by-step explanation:
because you times 5 by 36
Answer:
a) The test statistic is 
b) The pvalue is 0.0060.
Step-by-step explanation:
Question a:
Ha: pB < pNY
This means that the alternate hypothesis is rewritten as:

While the null hypothesis is:

The test statistic is:

In which X is the sample mean,
is the value tested at the null hypothesis and s is the standard error
pB = 0.581, pNY = 0.832
This means that 
0 is tested at the null hypothesis:
This means that 
Standard error = 0.1
This means that 
Test statistic:



The test statistic is 
Question b:
The pvalue is the probability of finding a proportion less than -0.251, that is, a difference of at least 0.251, which is the pvalue of Z = -2.51.
Looking at the z-table, Z = -2.51 has a pvalue of 0.0060
The pvalue is 0.0060.
Directrix y = 8
It is a horizontal line so the parabola is vertical.
<span>The focus (2, 4) lies below the directrix,
Therefore parabola opens downwards. </span>
<span>vertex will be halfway between focus and directrix, at (2, 6) </span>
<span>focal length =p
= distance between focus and vertex
= 2 </span>
<span>y = (-1/(4p))(x - 2)² + 6 </span>
<span>y = (-1/8)(x - 2)² + 6
hope this helps</span>