the distance between two cities is 1440 miles is time rides his bike 9.6 miles per day how many days will it take for him to tra
2 answers:
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Answer:
sample size if he uses a previous estimate of 32% is 523
sample size if he does not use any prior estimates is 601
Step-by-step explanation:
estimate E = 4 percentage = 0.04
confidence Cl = 95% = 0.95
previous estimate p = 32% = 0.32
q = 1 - 0.32 = 0.68
to find out
size of sample
solution
first we calculate z value for 95% confidence E = 0.04 is 1.96
from probability P(-1.96 < z < 1.96) = 0.95)
here z = 1.96
so in 1st part size of sample we know
E = z ×
put all value E, z p and q and we get n
n = (z/E)² ×p×q
n = (1.96/0.04)² ×0.32×0.68
n = 523
sample size if he uses a previous estimate of 32% is 523
now in 2nd part we take p = 0.5
so n will be
n = (z/E)² ×p×q
n = (1.96/0.04)² ×0.5×0.5
n = 601
sample size if he does not use any prior estimates is 601
(a) Length of the height is 2.732 m
(b) Length of the base is 5.466 m
<u>Explanation:</u>
An image is attached for reference.
(a)
In ΔAOB,
In ΔBGD,
According to the figure, BG = OE = 1.732 m
Height of the tent, AE = AO + OE
= 1 m + 1.732 m
= 2.732 m
(b)
DF = ?
In ΔAOB,
According to the figure, OB = GE = 1.733 m
In ΔBGD,
According to the figure, DE = DG + GE
DE = 1 m + 1.733 m
DE = 2.733 m
Length of the base, DF = 2 X DE
DF = 2 X 2.733 m
DF = 5.466 m
