Answer:
300 degrees
Step-by-step explanation:
"To convert from radians to degrees, we use the following fact: π radians = 180°" - study
The general equation of the circle is:
(x -xo)^2 + (y - yo)^2 = r^2
Where xo,yo are the coordinates of the center and r is the radius of the circle.
Here (xo,yo) is (-16,30) and you can find the radius.
You can find the radius using the equation of the distance (Pythagoras) between the center (-16,30) and any point on the circunference. Here use (0,0)
r^2 = (-16 - 0)^2 + (30 - 0)^2 = 1156
Then, the equation is>
(x - (-16) )^2 + (y - 30)^2 = 1156
=> (x + 16)^2 + (y - 30)^2 = 1156. <----- answer
Answer:
; minimum
Step-by-step explanation:
Given:
The function is,
The given function represent a parabola and can be expressed in vertex form as:
The vertex form of a parabola is , where, is the vertex.
So, the vertex is .
In order to graph the given parabola, we find some points on it.
Let
So, the points are .
Mark these points on the graph and join them using a smooth curve.
The graph is shown below.
From the graph, we conclude that at the vertex , it is minimum.
The probability that the event management company will sign the contract with the dance studio is; c. 0.024
<h3>How to solve binomial probability?</h3>
The general formula for binomial Probability is;
P(X = x) = ⁿCₓ * pˣ * (1 - p)⁽ⁿ ⁻ ˣ⁾
From the question, we want to find;
P(X = 75)
where;
Sample size; n = 120 and probability of success; p = 0.69
Thus, we have;
P(X = 75) = ¹²⁰C₇₅ * 0.69⁷⁵ * (1 - 0.69)⁽¹²⁰ ⁻ ⁷⁵⁾
P(X = 75) = 0.024
Read more about Binomial Probability at; brainly.com/question/2879525
Answer:
Step-by-step explanation:
y = Dean's age
x = Dean's sisters age
y = 2x
x + y < 21