Answer:
101.1%
Step-by-step explanation:
The two batteries are in the shape of cylinder.
The total surface area of a cylinder
SA = (2πr^2 + 2πrh ) =
For AAA battery
h = 0.8mm
r = 1.9 mm
SA = (2π(1.9)^2 + 2π × 1.9 × 0.8 )
SA = 22.68 + 9.55
SA = 32.23 mm^2
For AA battery
h = 1 mm
r = 2.75 mm
SA = (2π(2.75)^2 + 2π×2.75× 1 )
SA = 47.52 + 17.28
SA = 64.80 mm^2
Increase in SA = 64.80 - 32.23
Increase in SA = 32.57
% increase = increase in SA/AAA × 100
% increase in SA = 32.57/32.23 × 100
% increase in SA = 101.1%
That's easy if there is 100 chairs there would be 10 rows with ten chairs in each row
We are given that:
vi, initial velocity = 24 m/s
v, final velocity = 15 m/s
t, time = 12 s
The formula for acceleration is:
a = (v – vi) / t
a = (15 – 24) / 12
<span>a = - 0.75 m/s^2 (deceleration)</span>
Answer: 0.2
Step-by-step explanation:
We know that , the probability density function for uniform distribution is given buy :-
, where x is uniformly distributed in interval [a,b].
Given : The time to process a loan application follows a uniform distribution over the range of 8 to 13 days.
Let x denotes the time to process a loan application.
So the probability distribution function of x for interval[8,13] will be :-
Now , the probability that a randomly selected loan application takes longer than 12 days to process will be :-
![\int^{13}_{12}\ f(x)\ dx\\\\=\int^{13}_{12}\dfrac{1}{5}\ dx\\\\=\dfrac{1}{5}[x]^{13}_{12}\\\\=\dfrac{1}{5}(13-12)=\dfrac{1}{5}=0.2](https://tex.z-dn.net/?f=%5Cint%5E%7B13%7D_%7B12%7D%5C%20f%28x%29%5C%20dx%5C%5C%5C%5C%3D%5Cint%5E%7B13%7D_%7B12%7D%5Cdfrac%7B1%7D%7B5%7D%5C%20dx%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B5%7D%5Bx%5D%5E%7B13%7D_%7B12%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B5%7D%2813-12%29%3D%5Cdfrac%7B1%7D%7B5%7D%3D0.2)
Hence, the probability that a randomly selected loan application takes longer than 12 days to process = 0.2
For this case we have the following system:
To solve, we first change the inequality for an equality:
Matching we have:
So:
Thus, 
is the point of intersection of the lines.
Answer:
The graphic is attached
