Answer: 4
Step-by-step explanation:
For given Population standard deviation
, the formula to sample size is given by :-
![n=(\dfrac{\sigma\cdot z*}{E})^2](https://tex.z-dn.net/?f=n%3D%28%5Cdfrac%7B%5Csigma%5Ccdot%20z%2A%7D%7BE%7D%29%5E2)
, where z* = Two-tailed critical value.
E = Margin of error.
Given :
years
We know that , Critical value for 90% confidence interval : z* = 1.645
Margin of error : E=1.3 years
Then, the minimum sample size required to construct a 90% confidence interval for the population mean will be :-
[Rounded to the nearest whole number.]
Hence, the minimum sample size required = 4
Answer:
there aint a question to answer lol
Step-by-step explanation:
Answer:
x = (-1/4)(1 ± √33)
Step-by-step explanation:
Let's "complete the square."
This procedure requires taking half of the coefficient of x and squaring it:
Half of 1/2 is 1/4, and the square of 1/4 is 1/16.
Then we have:
x^2 + (1/2)x + 1/16 = 2 + 1/16 = 33/16
Rewriting x^2 + (1/2)x + 1/16 as the square of a binomial, we get:
(x + 1/4)^2 = 33/16
We must solve this for x.
Taking the sqrt of both sides, we get:
x + 1/4 = ±√33/4, or:
x = -1/4 ±√33/4, or
x = (-1/4)(1 ± √33)