Answer:
0.00075
0.02425
0.94575
Step-by-step explanation:
Let E1 be the event that A dies within next 20 years and E2 be the event that B dies within next 20 years.
Probability that E1 occurs = P(E1) = 0.025
Probability that E2 occurs= P(E2)= 0.030
Since the two events does not depend on each other, E1 and E2 are independent events.
For two independents E1 and E2 , the probability that both E1 and E2 occurs simultaneously is P(E1 ∩ E2) is given by:
P(E1 ∩ E2) = P(E1)*P(E2)
Probability that both A and B dies in next 20 years = 
Probability that A will die and B will not die is given by=
P(E1 ∩ E2') = P(E1) - P(E1 ∩ E2) = 0.025 - 0.00075 = 0.02425.
Probability that neither A nor B dies is given by=
P(E1' ∩ E2') = 1 - [ P(E1 ∪ E2) ] = 1 - [ P(E1) + P(E2) - P(E1 ∩ E2) ]
= 1 - [0.025 + 0.030 - 0.00075] = 0.94575
answer: 27.9 pounds
work: the question is asking how many pounds he bought total, so add the potato and the carrots, and you have your answer. 24.37 + 3.53 = 27.9
Here are the coordinates, mark the ones on the left as x, and the ones on the right as y, but make sure they are lined up with each other: (-2, 11), (-1, 6), (0, 3), (1, 2), (2, 3), (3, 6). Then plot the points on the graph and connect them.
Answer:
dh/dt ≈ 0.55 ft/min
Step-by-step explanation:
The volume is given by the formula ...
V = (1/3)πr²h
We have r = h/2, so the volume as a function of height is ...
V = (1/3)π(h/2)²h = (π/12)h³
Then the rates of change are related by ...
dV/dt = (π/4)h²·dh/dt
dh/dt = (4·dV/dt)/(πh²) = 4(35 ft³/min)/(π(9 ft)²)
dh/dt ≈ 0.55 ft/min
f(-a) is the remainder when f(x) is divided by (x+a). This can be obtained by remainder theorem for polynomials.
<h3>What is the required remainder?</h3>
Given that f(x) is divided by (x+a) and leaves a reminder
Using the remainder theorem for polynomials we get,
f(x) = (x+a)·g(x) + r, where g(x) is the quotient and r is the remainder.
Put x = -a, then
f(-a) = (-a+a)·g(-a) + r
f(-a) = (0)·g(x) + r
f(-a) = r
f(-a) is the remainder.
Hence f(-a) is the remainder when f(x) is divided by (x+a).
Learn more about remainder theorem here:
brainly.com/question/1550437
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