I think it is a Convience Sampling.
The remaining 2 debts have to add up to a cetain number which I represent as x.
476.25 - 93.22 - x = 0
x = 383.03
The correct two debts should add up to -383.03.
Therefore the answer is B. -66.72 and -316.31
Answer:
X=-8
Step-by-step explanation:
3x-4=7×-4
3x-4=-28
3x=-28+4
3x=-24
x=-24/3
x=-8
Step-by-step explanation:
(a) ∫₋ₒₒ°° f(x) dx
We can split this into three integrals:
= ∫₋ₒₒ⁻¹ f(x) dx + ∫₋₁¹ f(x) dx + ∫₁°° f(x) dx
Since the function is even (symmetrical about the y-axis), we can further simplify this as:
= ∫₋₁¹ f(x) dx + 2 ∫₁°° f(x) dx
The first integral is finite, so it converges.
For the second integral, we can use comparison test.
g(x) = e^(-½ x) is greater than f(x) = e^(-½ x²) for all x greater than 1.
We can show that g(x) converges:
∫₁°° e^(-½ x) dx = -2 e^(-½ x) |₁°° = -2 e^(-∞) − -2 e^(-½) = 0 + 2e^(-½).
Therefore, the smaller function f(x) also converges.
(b) The width of the intervals is:
Δx = (3 − -3) / 6 = 1
Evaluating the function at the beginning and end of each interval:
f(-3) = e^(-9/2)
f(-2) = e^(-2)
f(-1) = e^(-1/2)
f(0) = 1
f(1) = e^(-1/2)
f(2) = e^(-2)
f(3) = e^(-9/2)
Apply Simpson's rule:
S = Δx/3 [f(-3) + 4f(-2) + 2f(-1) + 4f(0) + 2f(1) + 4f(2) + f(3)]
S ≈ 2.5103
You use the equation a^2 + b^2 = c^2 and the parts include the hypotenuse which is across from the right angle(the diagonal part of the triangle) and this is also the c for the equation and the a and b are the two legs(the other lengths of the triangle) and to find one of these you plug what you know into the equation and go from there
