Answer:
a) The center coordinates O is (0,0)
b) The radius C = 15
Step-by-step explanation:
The given equation of the circle is :
Now, general form of the equation of the circle is:
where (h,k) are the center co -ordinates and r is the radius of the circle.
Comparing the general equation with the given equation, we get
So, here the center coordinates (h,k) = (0,0)
And the radius of the given circle is r = 15
Answer:
x = -1, y = 1
Step-by-step explanation:
x + 2y = 1
Subtract 2y from both sides
x + 2y - 2y = 1 - 2y (simplify) -> x= 1 - 2y
----
-x + y = 2
Subtract y from both sides
-x + y - y + 2 - y (simplify) -> -x = 2 - y
Divide both sides by -1
= - (simplify) -> x = -2 + y
Answer:
44
Step-by-step explanation:
x + 4 = 48
solve for x
Answer:
Step-by-step explanation:
Given that,
f(3) = 2
f'(3) = 5.
We want to estimate f(2.85)
The linear approximation of "f" at "a" is one way of writing the equation of the tangent line at "a".
At x = a, y = f(a) and the slope of the tangent line is f'(a).
So, in point slope form, the tangent line has equation
y − f(a) = f'(a)(x − a)
The linearization solves for y by adding f(a) to both sides
f(x) = f(a) + f'(a)(x − a).
Given that,
f(3) = 2,
f'(3) = 5
a = 3, we want to find f(2.85)
x = 2.85
Therefore,
f(x) = f(a) + f'(a)(x − a)
f(2.85) = 2 + 5(2.85 - 3)
f(2.85) = 2 + 5×-0.15
f(2.85) = 2 - 0.75
f(2.85) = 1.25
Answer: 0.2401
Step-by-step explanation:
The binomial distribution formula is given by :-
where P(x) is the probability of x successes out of n trials, p is the probability of success on a particular trial.
Given : The probability that a randomly chosen citizen-entity of Cygnus is of pension age† is approximately: p =0.7.
Number of trials : n= 4
Now, the required probability will be :
Thus, the probability that, in a randomly selected sample of four citizen-entities, all of them are of pension age =0.2401