Answer:
a) P(three tails) =
b) P(two tails followed by one head) =
Step-by-step explanation:
coin is tossed three times so, outcome is
HHH, TTT, HTH, THH, HHT, THT, TTH, HTT.
Hence sample space will be
S = {HHH, TTT, HTH, THH, HHT, THT, TTH, HTT}
chance of getting three tails is '1' i.e. TTT
hence,
P(three tails) =
two tails followed by one head is TTH
so, chance of getting that outcome is also '1'
hence,
P(two tails followed by one head) =
Answer:
5
Step-by-step explanation:
The leading coefficient belongs to the term with the largest exponent
Given
5 - 7x³ + 2x + 1 ← in standard form
The leading term is 5 ← with leading coefficient 5
Only p(x) has an average rate of change of -4 over [-2, 2].
Find the average rate of change of each given function over the interval [-2, 2]]:
The average rate of change of m(x) over [-2, 2]:
<h3>What is the average rate?</h3>The average rate of change =
Where, a = -2, m(a) = -12
b = 2, m(b) = 4
Plug the values into the equation
The average rate of change
The average rate of change = 4
The average rate of change of n(x) over [-2, 2]:
The average rate of change =
Where, a = -2, n(a) = -6
b = 2, n(b) = 6
Plug the values into the equation
The average rate of change
The average rate of change = 3
The average rate of change of q(x) over [-2, 2]:
The average rate of change =
Where, a = -2, q(a) = -4
b = 2, q(b) = -12
Plug the values into the
The average rate of change =
=
The average rate of change = -2
The average rate of change of p(x) over [-2, 2]:
The average rate of change =
Where, a = -2, p(a) = 12
b = 2, p(b) = -4
Plug the values into the equation
The average rate of change =
The average rate of change = -4
The answer is D.
Only p(x) has an average rate of change of -4 over [-2, 2].
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