Answers B and D are correct. With questions like this, it's fairly easy to divide or multiply to see if the answer is correct.
Answer:
I would just say that Manuel seems to be moving at a pretty fast or decent pace at first, and he then at some point, doesn't move at all because the straight line shown in the middle of the graph shows us that there isn't any movement from him. (at least with what the information on the graph is giving us) At the very end of the graph, I can see that he eventually reached his destination, and at a very fast rate! (because the graph seems to obviously end at a point)
Step-by-step explanation:
I'm a Freshman in High School, and I haven't learned about graphs as simple as this one in a hot-minute! [a year or two maybe] Sooo...I hope I helped a little bit though.
But even if I am completely wrong, just know that whenever a straight vertical line like that is on a graph, it means that there was either NO motion detected or that there wasn't any data at that moment to be graphed. {BUT} In this case, Manual wasn't moving at all for that time being, because the graph has a STRAIGHT VERTICAL LINE in the middle of it.
I would also write down in my answer, that it looks like he was riding a bike, or was driving, or was maybe running, because it looks like either his destination was very close to where he originally started, OR he just got to his destination quickly via transportation.
Answer:
units
Step-by-step explanation:
Distance between 2 points
= 
Thus distance between (-2, -1) and (6, 8)
Answer:
a) 
b) 
c) 
d) 
Step-by-step explanation:
We know that the circle is increasing its radio from an initial state of r=0 cm, at a rate of 5 cm/s.
This can be expressed as:
a) Radius of the circle, r (in cm), in terms of the number of seconds, t since the circle started growing:
b) Area of the circle, A (in square cm), in terms of the circle's radius, r (in cm):
c) Circle's area, A (in square cm), in terms of the number of seconds, t, since the circle started growing:
d) Expanded form for the area A:
Recall that for
, i.e. a random variable
following a binomial distribution over
trials and with probability parameter
,
So you have
The expected value of
is simply
, while the standard deviation is
. In this case, they are
and
, respectively.
