Kevin started his science test at 2{:}34\text { p.M.}2:34 p.M.2, colon, 34, start text, space, p, point, m, point, end text and
1 answer:
Answer:
26 Minutes.
Step-by-step explanation:
Kevin started his science test at
He finished the test 75 minutes later.
Now: 75 Minutes = 1 hr 15 Minutes
2:34 + 75 Minutes
=2:34+1:15
=3:49 P.M.
Kevin finished his test by 3:49 P.M.
Kevin has football practice at 4:15 P.M.
Therefore, the time Kevin had between the end of the test and the beginning of football practice
=4:15 P.M.-3:49 P.M.
=26 Minutes.
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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 =
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