Aman who moves to a new city sees that there are two routes he could take to work. a neighbor who has lived there a long time he tells him route a will average 5 minutes faster than route b. the man decides to experiment. each day he flips a coin to determine which way to go, driving each route 10 days. he finds that route a takes an average of 49 minutes, with standard deviation 2 minutes, and route b takes an average of 50 minutes, with standard deviation 4 minutes. histograms of travel times for the routes are roughly symmetric and show no outliers. (alpha =0.05)

find a 95% confidence interval for the difference between the route b and route a commuting times. ( , )

hello from mrbilldoesmath!

answer:

the domain is the set { -2, 0, 2, 3}

discussion:

the domain is the set of x values in the ordered pairs (x,y). taking the x, or first component, of each ordered pair gives   -2, 0, 2, 3.

you,

mrb

addition

step-by-step explanation:

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: