Graph the hyperbola with equation quantity x plus 3 squared divided by 25 minus the quantity of y plus 5 squared divided by 4 =
1
2 answers:
Answer:
Step-by-step explanation:
As we know the general formula of the hyperbola is:
(x-h)²/a² - (y-k)²/b² = 1, where
- (h,k) is the center
- a is the semi-major axis
- b is the semi-minor axis
In this situation, the equation is:
(x+3)²/25 - (y+5)²/4 = 1
=> the center is: (-3, -5)
a = 5
b = 2
- As we know their slopes are +/-
so
-5 = +2/5 (-3) + b ---> b= -3.8
-5 = -2/5 (-3) + b ---> b= -6.2
Hence, you plot the equations y=2/5x -3.8 and y = -2/5 x - 6.2 by assigning values of x and plotting them against y as the attached photo.
Hope it will find you well.
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Answer:
a) 0.3270 = 32.70% probability that Christine fails the course
b) 0.3917 = 39.17% probability that she had found someone to help
Step-by-step explanation:
We have these following probabilities:
61% probability that Christine find a coach.
100 - 61 = 39% probability that Christine does not find a coach.
With a coach, a 21% probability of failing.
Without a coach, a 51% probability of failing.
a. What is the probability that Christine fails the course?
21% of 61%(finds a tutor) plus 51% of 39%(does not find a tutor). So
P = 0.21*0.61 + 0.51*0.39 = 0.327.
0.327 = 32.7% probability that Christine fails the course
b. Christine ends up failing the course. What is the probability that she had found someone to help?
This can be formulated by the Bayes formula:
In which P(B|A) is the probability of B happening given that A happened and P(A|B) is the probability of A happening given that B happened.
In this question.
P(B|A) is the probability of finding a tutor given that she failed.
P(B) is the probability of finding a tutor. So P(B) = 0.61.
P(A|B) is the probability of failing when finding a tutor. So P(A|B) = 0.21
P(A) is the probability of failing. So P(A) = 0.327.
So
0.3917 = 39.17% probability that she had found someone to help