9. DOG WALKING Evan, a dog walker, charges $3 every block that he walks a dog. He also charges a $5 pick up fee when he comes to
1 answer:
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Answer:
Therefore the required Equation of Circle
Step-by-step explanation:
Given:
End point of Diameter be
point A( x₁ , y₁) ≡ ( -2 ,-2 )
point B( x₂ , y₂) ≡ ( 4 , -10 )
To Find:
Equation of a circle =?
Solution:
When end points of the Diameter are A( x₁ , y₁) , B( x₂ , y₂). then the Equation of Circle is given as
Substituting the end point are
Applying Distributive Property we get
Therefore the required Equation of Circle
Here the list of the transformations applied to the parent function, and their effect:
. This causes a horizontal compression of factor 4.
. This causes a horizontal translation, 3 units to the left.
. This causes a reflection about the x axis.
. This causes a vertical translation, 3 units up
So, if you start from the graph of , you have to compress and translate it horizontally, flip it with respect to the x axis, and finally move it up 3 units.
Answer:
P(X=3) = 0.2013
Step-by-step explanation:
After taking and tagging the first 20 birds, then we have a proportion of 20% of tagged birds within the population, that is
Supposing that the probability (0.20) of capturing a bird <em>remains constant</em>, we may resolve it as it follows:
Capturing 10 birds can be considered as a binomial experiment with a success probability p = 0.2
Let, be the expression of the binomial distribution, for our case we have:
p=0.2
x = 3
n=10
Then,
Therefore, the probability that exactly 3 of the 10 birds in the new sample were previously tagged is 20.13%