Find parametric equations for the path of a particle that moves along the circle x2 + (y − 3)2 = 16 in the manner described. (en
1 answer:
Answer:
and t ∈ [0,2π]
Step-by-step explanation:
The standard equation for circle is:
Comparing our equation with standard
h= 0,
k= 3
r= 4 (as in standard r², so r =√ r²)
Required:
Parametric equations of the circle
Formula:
Putting values of r and h and k we get
As we need to start the object at (4,3)
x(0) = 4 and y(0) = 3
and the period is 2π
As the rotation is starting clock wise we will invert the value of t i.e -t
and t ∈ [0,2π]
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Complete question :
Suppose that of the 300 seniors who graduated from Schwarzchild High School last spring, some have jobs, some are attending college, and some are doing both. The following Venn diagram shows the number of graduates in each category. What is the probability that a randomly selected graduate has a job if he or she is attending college? Give your answer as a decimal precise to two decimal places.
What is the probability that a randomly selected graduate attends college if he or she has a job? Give your answer as a decimal precise to two decimal places.
Answer:
0.56 ; 0.60
Step-by-step explanation:
From The attached Venn diagram :
C = attend college ; J = has a job
P(C) = (35+45)/300 = 80/300 = 8/30
P(J) = (30+45)/300 = 75/300 = 0.25
P(C n J) = 45 /300 = 0.15
1.)
P(J | C) = P(C n J) / P(C)
P(J | C) = 0.15 / (8/30)
P(J | C) = 0.5625 = 0.56
2.)
P(C | J) = P(C n J) / P(J)
P(C | J) = 0.15 / (0.25)
P(C | J) = 0.6 = 0.60
