Answer:
Step-by-step explanation:
Given that a researcher is trying to decide how many people to survey.
We have confidence intervals are intervals with middle value as the mean and on either side margin of error.
Confidence interval = Mean ± Margin of error
Thus confidence interval width depends on margin of error.
Margin of error = 
Thus for the same confidence level and std deviation we find margin of error is inversely proportional to square root of sample size.
Hence for small n we get wide intervals.
So if sample size = 300, the researcher will get wider confidence interval
Slope = 18/6 = 3
Y-intercept = -6
Equation: y = 3x -6
The answer is m=5 and m=-2. There is no extraneous solution for this equation.
<h2>
Hello!</h2>
The answer is:
They spent $176 together.
<h2>
Why?</h2>
We are given an expression which represents the money spent for each girl, it's a function of time and it will show how much they can spend in terms of hours.
Assuming that you have committed a mistake writing the equation, otherwise, the given options would not fit, the expression is:

Now, from the statement we know that the function represents how much money each girl spent, so, if we need to calculate how much money they will spend together, we need to multiply the expression by 2, so we have:

Then, calculating the spent money for 2 hours, we need to substitute the variable "x" with 2.
Calculating we have:


Hence, we have that they spent $176 together.
Have a nice day!