Answer:
(4, 5)
Step-by-step explanation:
Dilation by factor d about point (a, b) effects the transformation ...
(x, y) ⇒ d((x, y) -(a, b)) +(a, b)
⇒ (d(x-a) +a, d(y-b) +b)
(x, y) ⇒ (dx +a(1-d), dy +b(1-d))
We have (x, y) = (3, 4) and (a, b) = (1, 2) and d=3/2. Filling in these numbers, we get ...
(3, 4) ⇒ ((3/2)(3)+1(1-3/2), (3/2)(4)+2(1-3/2)) = (9/2 -1/2, 6 -1) = (4, 5)
Point E' is (4, 5).
_____
If you look at the graph, you realize that E is (2, 2) from (1, 2). Dilation by a factor of 3/2 moves it to (3/2)(2, 2) = (3, 3) from (1, 2). So ...
E' = (3+1, 3+2)
E' = (4, 5)
Answer: 10
Step-by-step explanation:
The formula used for standard error is :-
, where is population standard deviation and n is the sample size.
Given: n = 4
Then, the difference would expected between the sample mean and the population mean will be :
Hence, the expected difference between the sample mean and the population mean = 10
From 9:00 am to 9:00pm, that's a total of 12 hours,
so 12 of the 20 hours are charged at a rate of 0.25 dollar per hour, and the other 8 hours (20-12=8) are charged at a rate of $0.06 per hour.
the answer is b.
it should be 0.06 though, not 0.6
Answer: y= -5x
Step-by-step explanation:
intercept form is y=mx+b
we have the x, I guess we can also call it the rate of change
they gave us a point (3,0), we see the 0 is in the y place making it the b, now just plug it in, since its 0 we can leave it blank
Step-by-step explanation:
slope(m)=(Y-Y1)/X-X1
here,
M=1
(X1,Y1)=(11,3)
NOW,
m=(Y-Y1)/(X-X1)
1=(Y-3)/(X-11)
1×(X-11)=Y-3
X-11=Y-3
X-Y-11+3=0
X-Y-8=0
X-Y=0 is the required equation.