Answer:
The sample should be as large as 480
Step-by-step explanation:
Probability of having a flu, p = 43/334
p = 0.129
Margin Error, E = 0.03
Confidence Interval, CI= 95%
At a CI of 95%, ![z_{crit} = 1.960](https://tex.z-dn.net/?f=z_%7Bcrit%7D%20%3D%201.960)
The sample size can be given by the relation:
![n = p(1-p)(z/E)^{2}](https://tex.z-dn.net/?f=n%20%3D%20p%281-p%29%28z%2FE%29%5E%7B2%7D)
![n = 0.129(1-0.129)(1.960/0.03)^{2} \\n = 479.59\\n = 480](https://tex.z-dn.net/?f=n%20%3D%200.129%281-0.129%29%281.960%2F0.03%29%5E%7B2%7D%20%5C%5Cn%20%3D%20479.59%5C%5Cn%20%3D%20480)
Given:
z = (x - μ)/σ = z value
x = independent variable = 11
μ = mean = 8
σ = standard deviation = 3
Solution:
X ~ N (8, 3)
For day 1, n = 5
P (X < = 11) = P (Z < = 11 – 8 / 3/Sqrt5) = P (Z <
=2.23) = 0.987126
For day 1, n = 6
P (X < = 11) = P (Z < = 11 – 8 / 3/sqrt6) = P (Z <
=2.45) = 0.992857
For both days:
P (X <= 11) = P (X <= 11) = (0.987126) (0.992857) =
0.9801
Answer:
A. (2i)(8) = d. 16i
B. 16i³ = b. -16i
C. (2i)⁴ = a. 16
D. (2i)(8i) = c. -16
Step-by-step explanation:
A. Multiply 2i by 8 to get 16i, which corresponds to d.
B. The exponent is 3 more than a mulitple of 4 in 16i³, so the answer is negative. -16i corresponds to b.
C. (2i)⁴ has an exponent that is a multiple of 4, so the i isn't needed. 16 corresponds to a.
D. (2i)(8i) simplifies to 2(8) * i². The exponent is 2 more than a multiple of 4, so the answer is negative, without an i. -16 corresponds to c.