Answer:
(D) There are probably more blue marbles than red marbles in the bag.
Step-by-step explanation:
There are a total of 100 marbles in the bag.
In the experiment of 50 trials, Sam had the following outcome:
Blue=35
Red=15
Relative Frequency of Blue Marbles =35/50=0.7
Relative Frequency of Red Marbles =15/50=0.3
Since the relative frequency of blue marbles is greater than the relative frequency of red marbles, <u>there are probably more blue marbles than red marbles in the bag.</u>
The correct option is D.
53.8516 if you are use the Pythagorean theory. You create a triangle making the longest line the C.
The slope of the tangent line to the curve at (8, 2) is given by the derivative 
at that point. By the chain rule,
Differentiate the given parametric equations with respect to 
:
Then
We have 
and 
when 
, so the slope at the given point is 
.
The normal line to the same point is perpendicular to the tangent line, so its slope is +4. Then using the point-slope formula for a line, the normal line has equation
Alternatively, we can eliminate the parameter and express 
explicitly in terms of 
:
Then the slope of the tangent line is
At 
, the slope is again 
, so the normal has slope +4, and so on.
What are you supposed to solve
