The amount of metal he will need to cover the back of the shelves is 180 inches².
The figure above is like a composite figure. Therefore, lets find the area.
<h3>Area of the composite figure</h3>
The area of the figure is the sum of the whole individual 2 dimensional shapes in the composite figure.
Therefore, two rectangles can be drawn from it.
area of rectangle = lw
where
l = length
w = width
Therefore,
area of rectangle 1 = 9 × 8 = 72 inches²
area of rectangle 2 = 6 × 18 = 108 inches²
Total area = 108 + 72 = 180 inches²
Therefore, the amount of metal he will need to cover the back of the shelves is 180 inches².
learn more on area here: brainly.com/question/25849553
Answer:
0.314 = 31.4% probability that a randomly selected person in this city will have a commute time between 0.4 and 1 hours
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:

In which
is the decay parameter.
The probability that x is lower or equal to a is given by:

Which has the following solution:

The probability of finding a value higher than x is:

In this question:

What is the probability that a randomly selected person in this city will have a commute time between 0.4 and 1 hours?

In which


So

0.314 = 31.4% probability that a randomly selected person in this city will have a commute time between 0.4 and 1 hours
Answer:
The length of pendulum is 55.853cm
Step-by-step explanation:
We are given
the original pendulum completed one swing every 1.5 seconds
so, T=1.5 sec
now, we can use time period formula

l is the length of pendulum
g is acceleration due to gravity

now, we can plug values
and then we can solve for l



In cm
