Answer:
x = 9.24
Step-by-step explanation:
I'm assuming we are solving for the value of x
We can apply the geometric mean for altitude in this case:
AD = √CD*BD,
16 = √x * 3x,
256 =3x^2,
x = 16√3/3 ≈ 9.24
If t is the total time in hours, 1 car takes 6hrs to assemble, and the number of cars assembled in t hours is y, then
y=t/6(remove any decimal if there )
All the best
(t - 8)(t - 2) is your answer
The arc length between each car is 18.84 ft
<h3>
How to get the length of an arc?</h3>
For a section defined by an angle θ in a circle of radius R, the length of the arc is given by:
A = θ*R
A complete circle has an angle of 2π. Now, if the circle has 25 cars, then it has 25 sections, so the angle that defines each one of these sections is:
θ = (2π/25)
And the diameter of the circle is 150ft, so the radius (half of that) is:
R = (150ft)/2 = 75 ft
Then the length of the arc:
L = (2π/25)*75 ft = 18.84 ft
If you want to learn more about circles, you can read:
brainly.com/question/25306774
Given Information:
Number of lithium batteries = n = 16
Mean life of lithium batteries = μ = 645 hours
Standard deviation of lithium batteries = σ = 31 hours
Confidence level = 95%
Required Information:
Confidence Interval = ?
Answer:
Step-by-step explanation:
The confidence interval is given by
Where μ is the mean life of lithium batteries, σ is the standard deviation, n is number of lithium batteries selected, and t is the critical value from the t-table with significance level of
tα/2 = (1 - 0.95) = 0.05/2 = 0.025
and the degree of freedom is
DoF = n - 1 = 16 - 1 = 15
The critical value (tα/2) at 15 DoF is equal to 2.131 (from the t-table)
Therefore, the 95% confidence interval is 628.5 to 661.5 hours
What does it mean?
It means that we are 95% confident that the mean life of 16 lithium batteries is within the interval of (628.5 to 661.5 hours)