Answer:
0.2172<x<0.2668
Step-by-step explanation:
The formula for calculating the confidence interval is expressed as;
CI = xbar ± (z*s/√n)
xbar is the average = 0.242ppm
z is the z score at 95% confidence = 1.96.
s is the standard deviation = 0.04pm
n is the sample size = 10
substitute the values into the formula;
CI = xbar ± (z*s/√n)
CI = 0.242 ± (1.96*0.04/√10)
CI = 0.242 ± (1.96*(0.04/3.1623))
CI = 0.242 ± (1.96*(0.01265))
CI = 0.242 ± (0.02479)
CI = (0.242-0.02479, 0.242+0.02479)
CI = (0.2172, 0.2668)
Hence a 95% confidence interval for the mean mercury content of coal from this source is 0.2172<x<0.2668.
(1,4.472135955) or (4.472135955,1)
Given:
Initial population = 100 algae
Growth rate = 30% per day.
Time = 5 days
To find:
The future amount of population.
Solution:
The exponential growth model is
where, a is the initial value, r is the rate of interest in percent and t is time period.
Substituting the given values, we get
Now, solve this.
Therefore, the future value is 371.293 algae.
Answer:
x=13 /6
Step-by-step explanation:
Answer:
A' (- 1, - 5 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ), then
A (- 5, 1 ) → A' (- 1, - 5 )