<span>P(black socks): 24/42 or 12/21
P(black socks without replacement): 23/41. Consequently, the chance of randomly selecting 2 black socks, without replacement, from the basket is 12/21×23/41=276/861, equivalent to 32%. Hope this helps!</span>
Response:
Her brother catches up to her at 11 am + 4 hours = 15 p.m
Detailed explanation:
Provided information;
Ariel's speed = 45 mph
She departed at 9 a.m
Her brother's speed = 60 mph
He began at 11 a.m
Inferred from the question: Since Ariel's speed is 45 mph, after two hours she is ahead by 90 miles.
Meanwhile, her brother travels at 60 mph, hence he is traveling (60 - 45) = 15 mph faster
Therefore, with this speed, he will catch up to her in
= 4 hours.
So her brother catches up with her at 11 am + 4 hours = 15 p.m
Yes, this reflects the correct answer as [[TAG_10]]
The initial step is to analyze the graph's behavior.
It doesn’t follow a linear pattern, as the rate of change is inconsistent.
It also isn’t exponential since the change rate doesn't fluctuate significantly.
For this scenario, the most suitable regression model would be of the type:

Where,
a <0: This indicates that the parabola opens downwards.
Hence, the most appropriate regression model is quadratic.
Answer:
From visual analysis, the most fitting regression model for the data observed is:
A. Quadratic