<span>I am assuming that this is a parametric curve.
We see that the curve intersects the x-axis when:
t - t^2 = 0 ==> t = 0 and t = 1.
Then, since x = 1 + e^t is an increasing function, the curve is being traced exactly once on the interval (0, 1).
Using the fact that the area under the curve given by the parametric equations x = f(t) and y = g(t) on (a, b) is:
A = ∫ f'(t)g(t) dt (from t=a to b),
and that f(t) = 1 + e^t ==> f'(t) = e^t, the area under the curve is:
A = ∫ e^t(t - t^2) dt (from t=0 to 1)
= e^t(-t^2 + 3t - 3) (evaluated from t=0 to 1), by integrating by parts
= e(-1 + 3 - 3) - (0 + 0 - 3)
= 3 - e. </span>
Taeyn earns quite a bit more than Alastair
Answer:
Following are the answer to the given points.
Step-by-step explanation:
In point a:
The confidence interval for p is 95%
using formula:
In point b:
Because 0.22 is not within the trust interval, they have enough proof of H0 at level 0.05.
In point c:
For the percentage for samples,
from ratio p
from sample ratio
In point d:
Standard deviation is used to measure the interval of confidence
Answer:
45,000
Step-by-step explanation:
If P=45,000−1,000m,
where P=The number of people left in the stadium m minutes after the end of the game
We want to determine how many people were present when the game ended but before people started to leave.
Note that immediately the game ended,
m=0
Therefore, the number of people left in the stadium
P=45000−(1000 X 0)
P=45000
There were 45,000 people.
Angle 5 = 117° because it is vertical to angle 8
Angle 7 = 63° because it is symmetrical to angle 5
Angle 6 = 63° because it is vertical to angle 7.
Angle 1 = 117° because it is corresponding to angle 5.
Angle 2 = 63° because it is corresponding to angle 6.
Angle 3= 117° because it is corresponding to angle 8.
Angle 4 = 63° because it is corresponding to angle 7.