Answer:
6
Step-by-step explanation:
Area = 1/2( base times height)
since the height is perpendicular to the base
therefore
6 = 1/2(3) h
12 =3h
4=h
4 units away from the y=2 line is at the y coordinate of 6
(f ○g ) (2)= 11
Step-by-step explanation:
(f ○g ) (x)= (f(g(x))
= 5( x² -1) – 4
= 5x² – 5 – 4
= 5x² – 9
(f ○g ) (2)= (f(g(2)) = 5 (2)² – 9 = 5(4) – 9 = 20 – 9 = 11
I hope I helped you^_^
Answer:
b. 2.333
Step-by-step explanation:
Test if the mean transaction time exceeds 60 seconds.
At the null hypothesis, we test if the mean transaction time is of 60 seconds, that is:

At the alternate hypothesis, we test if it exceeds, that is:

The test statistic is:

In which X is the sample mean,
is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
60 is tested at the null hypothesis:
This means that 
A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds.
This means that 
Value of the test statistic:




Thus, the correct answer is given by option b.
<h3>
Answer: B) 15 mph</h3>
====================================================
Explanation:
The equation d = 65t means that the rate is r = 65. So Malcolm's family travels at an average rate of 65 mph. Note this is the slope of the line.
The graph has a slope of 50 because each time we go up 50, we move to the right 1. Ie, slope = rise/run = 50/1 = 50. You could use the slope formula to get the same result.
Since the graph has a slope of 50, this means Theo's family is going at an average speed of 50 mph.
Subtract the two speeds to get 65-50 = 15 mph