Adding the two fractions, we get:

Therefore (5/12)T of the job has been completed.
Given : f(x) = 3x + 1
We get f(2) by substituting x = 2 in the given Function
⇒ f(2) = 3(2) + 1
⇒ f(2) = 6 + 1 = 7
Option C is the Answer
The ordered pairs are:
<span>{(1, 80), (2, 240), (3, 720), (4, 2160)}
with
a_1 = 80
a_2 = 240
a_3 = 720
a_4 = 2160
The terms are in a geometric sequence with a common ratio of
240/80 = 720/240 = 2160/720 = 3
The equation is:
a_n = 80 * 3^(n - 1)</span>
Because the random variable x follows a continuous uniform distribution from x=1 to x=5, therefore
p(x) = 1/4, x=[1, 5]
The value of p(x) ensures that the total area under the curve = 1.
The conditional probability p(x > 2.5 | x ≤ 4) is the shaded portion of the curve. Its value is
p(x > 2.5 | x ≤4) = (1/4)*(4 - 2.5) = 0.375
Answer: 0.375
Answer:
False. 2/3 is positive so therefore, it would be increasing, not decreasing.
Step-by-step explanation: