A. 2.4×10^−10
.................
Answer:
1/16
Step-by-step explanation:
f(x) = 2^x
Let x = -4
f(-4) = 2 ^ -4
We know that a^-b = 1/a^b
= 1/2^4
= 1/16
Answer:
I hope this answers your questions.
Explanation:
Divide the number of events by the number of possible outcomes. This will give us the probability of a single event occurring.
I hope this helps!!!!
Answer:
a) Var[z] = 1600
D[z] = 40
b) Var[z] = 2304
D[z] = 48
c) Var[z] = 80
D[z] = 8.94
d) Var[z] = 80
D[z] = 8.94
e) Var[z] = 320
D[z] = 17.88
Step-by-step explanation:
In general
V([x+y] = V[x] + V[y] +2Cov[xy]
how in this problem Cov[XY] = 0, then
V[x+y] = V[x] + V[y]
Also we must use this properti of the variance
V[ax+b] =
V[x]
and remember that
standard desviation = ![\sqrt{Var[x]}](https://tex.z-dn.net/?f=%5Csqrt%7BVar%5Bx%5D%7D)
a) z = 35-10x
Var[z] =
Var[x] = 100*16 = 1600
D[z] =
= 40
b) z = 12x -5
Var[z] =
Var[x] = 144*16 = 2304
D[z] =
= 48
c) z = x + y
Var[z] = Var[x+y] = Var[x] + Var[y] = 16 + 64 = 80
D[z] =
= 8.94
d) z = x - y
Var[z] = Var[x-y] = Var[x] + Var[y] = 16 + 64 = 80
D[z] =
= 8.94
e) z = -2x + 2y
Var[z] = 4Var[x] + 4Var[y] = 4*16 + 4*64 = 320
D[z] =
= 17.88
<h3>
Answer: 1</h3>
========================================================
Explanation:
Pick any two points you want from the blue line. I'll pick (0,1) and (1,2)
Apply the slope formula to those points
m = (y2-y1)/(x2-x1)
m = (2-1)/(1-0)
m = 1/1
m = 1
The slope is 1.
Notice how if we're at (0,1), then we move up 1 and over to the right 1 to arrive at (1,2).
slope = rise/run = 1/1
rise = 1, run = 1