Answer:
A = 0.859
Step-by-step explanation:
We want to find the area of the region bounded by the lines x = 1 and y = 0 and the curve y = xe^(x²).
At y = 0, let's find x;
0 = xe^(x²)
Solving this leads to no solution because x is infinity. Thus we can say lower bound is x = 0.
So our upper band is x = 1
Thus,lets find the area;
A = ∫xe(x²) dx between 1 and 0
A = (e^(x²))/2 between 1 and 0
A = ((e¹)/2) - (e^(0))/2)
A = 1.359 - 0.5
A = 0.859
Answer:
The relative frequency of landing on tails is 0.3.
Step-by-step explanation:
The relative frequency of an outcome A is:
The number of trials in which the outcome A happened divided by the total number of trials.
In this problem, we have that:
20 coin tosses, so 20 trials. On 6, it landed on tails.
6/20 = 0.3
This means that the relative frequency of landing on tails is 0.3.
X² -25 = 0
We can use formula a² -b² =(a-b)(a+b)
x² - 5² =0
(x-5)(x+5)=0
x+5 =0 or x-5 = 0
x=-5 or x=5
Answer is x=-5, x=5
