Answer:
D. (-x+5)^2/9+(y-4)^2/4=1 (I assume there was a mistype)
Step-by-step explanation:
The first step is isolating the sine and cosine functions.
x=5-3cos(t)
x + 3cos(t) = 5
3cos(t) = 5 - x
cos(t) = (5 - x)/3
y=4+2sin(t)
y - 4 = 2sin(t)
(y - 4)/2 = sin(t)
Then, square at both sides of the equal sign
cos²(t) = (5 - x)²/3² = (5 - x)²/9
sin²(t) = (y - 4)²/2² = (y - 4)²/4
Recall the trigonometric identity and replace.
cos²(t) + sin²(t) = 1
(5 - x)²/9 + (y - 4)²/4 = 1
when coin is flipped 5 times probability is 1/2
so coin heads comes out to be 2.5
This is a binomial distribution with a probability of success = 0.5 (fair coin).
n=10
so
mean = E[x] = np =10*0.5 =5
Eight, I am pretty sure. Eight times two is 16.
the equation is a quadratic one, and it has a positive coefficient on the leading term, meaning, is opening upwards, so it has a "burrow" for the vertex.
the minimum or lowest point for a quadratic opening upwards is, well, the vertex point :), the "x" value is the year, the "y" or f(x) value is the population, we're asked for the year, or the x-coordinate of the vertex
well
Answer:
range=8, mode=1 Median=3 mean=4
Step-by-step explanation:
range= subtract largest from smallest
mode= most frequent
median= middle in an ordered data set
Mean= add them all up and divide by how many you addded up
