Answer:
24 minutes
Step-by-step explanation:
Let y represent the rate of 120 envelopes per minute.
40/8 = 120/y
40y = 8 * 120
40y = 960
y = 960/40
= 24 minutes
Complete Question
Angela has constructed a wedge-shaped pillow for her TV watching needs. It contains 0.35 m³ of fluffy material. The pillow's base area measures 0.5m², and its height stands at 1m.
What is the length of the pillow?
Provide an exact answer (no rounding).
Answer:
1.4m
Step-by-step explanation:
A wedge can be defined as a Triangular prism. Thus,
The volume formula for a wedge (Triangular prism) is given by: 1/2 × B × H × L
b = 0.5m
h = 1 m
l =??
Volume of the wedge = 0.35 m³
0.35 = 1/2 × 0.5 × 1 × L
0.35 = 0.25 × L
Solving for L, we get: L = 0.35/0.25
L = 1.4m
For Chris, the calculation for his monthly telephone expense is as follows:

Where "x" denotes each minute used.
Given that Chris can afford a bill of $86, we have:

The total minutes of usage must not exceed 500 per month. Consequently, the viable choice is option C.
Answer:
Option C
The diagram below illustrates the issue at hand.
Question 1:
The maximum area of the pool equals half the area of the circle.
To calculate the area of the circle: Area = πr², with r being half of the diameter.
Thus, Area of circle = π(60)² = 11309.73355 square feet.
Therefore, the area representing half the circle amounts to 11309.73355/2 = 5654.866... ≈ 5654.87 square feet (rounded to 2 decimal places).
Question b:
To find the pool's area, we take the circle's area and subtract the triangle's area.
The area of the circle is 11309.73 square feet.
For the triangle's area calculation: 1/2 × (60×103.92) = 3117.6 square feet.
The area of the pool thus operates as 11309.73 - 3117.6 = 7922.13 square feet.
Calculating the pool's volume: 7922.13 × 4 = 31688.52 cubic feet.
Note: Information related to the fish tank is unavailable, so the above calculation focuses solely on the entire pool's volume.
Answer:
Step-by-step explanation:
It has been established that the count of drivers traveling between a specific origin and destination in a certain time frame follows a Poisson distribution with a mean μ = 20 (as indicated in the article "Dynamic Ride Sharing: Theory and Practice"†).
a) 
b) 
c) 
d) 2 standard deviations = 2(20) = 40
Thus, this means the range for 2 standard deviations is
20-40, 20+40
which equates to (0,60)
