The goal of this function is to get a positive value under the square root sign so that the value would not be invalid. Evaluating F(3,1), the value is 1 + <span>sqrt(4-1^2) or equal to 1 + sqrt of 3.</span> In this case, the domain would be x equal to any numbers and the range equal to numbers from -2 ≤ y ≤ 2.
Answer:
Step-by-step explanation:
The foci are horizontally aligned.
horizontal ellipse:
(x-h)²/a² + (y-k)²/b² = 1
center (h,k)
vertices (h±a,k)
length of minor axis = 2b
foci (h±c,k), c² = a²-b²
Apply your data and solve for h, k, a, and b.
foci (±3√19, 6)
h = 0
k = 6
Length of minor axis = 2b = 10
b = 5
foci (h±3√19, 6)
c = 3√19
c³ = a² - b²
171 = a² - 25
a² = 196
x²/196 + (y-6)²/25 = 1
These are all parts of circles.
A radius is the distance from the center of a circle to the edge.
A chord is a line segment from 2 different places on a circle.
A tangent is a line that touches the edge of a circle in only 1 place.
Inscribed angles are inside a circle and circumscribed angles are on the outside of a circle.
Answer:
a) The probability that exactly 41 of the murders were cleared is 0.0013
b) The probability that between 36 and 38 of the murders, inclusive, were cleared is 0.0809.
c) Yes, it would be unusual
Step-by-step explanation:
Let p=62% considered as the probability of having a commited that is cleared by arres or exceptional means. We assume that choosing each of the 50 commited is independent of each choose. Then, let X be the number of cleared. In this case, X is distributed as a binomial random variable. Recall that, in this case,
for
, with p=0.62
a) We have that
b) We are asked for the following
(The specific calculation is omitted.
c) We will check for the following probability 
Given that the probability of this event is really close to 0, it would be unusual if less than 19 murders are cleared.
