Given:
The compound inequality is:
To find:
The integer solutions for the given compound inequality.
Solution:
We have,
Case 1:
...(i)
Case 2:
...(ii)
Using (i) and (ii), we get
The integer values which satisfy this inequality are only 3 and 4.
Therefore, the integer solutions to the given inequality are 3 and 4.
Answer:
Lateral surface area of the storage shed = 336 ft²
Step-by-step explanation:
The shed is in the shape of a rectangular prism. The lateral surface area of the storage shed can be calculated below. The lateral area is the sides of the prism.
lateral area of a rectangular prism = 2h (l + w)
where
l = length
h = height
w = width
h = 8 ft
l = 14 ft
w = 7 ft
lateral area of a rectangular prism = 2h (l + w)
lateral area of a rectangular prism = 2 × 8 × (14 + 7)
lateral area of a rectangular prism = 16 (21)
lateral area of a rectangular prism = 336 ft²
Lateral surface area of the storage shed = 336 ft²
The answer is yes, and 108.
Answer: D. The probability of a time from 75 seconds to 250 seconds.
Step-by-step explanation:
We know that a density curve graph for all of the possible values from a to b can be used to find the the probability of the values from a to b .
Given: A density graph for all of the possible times from 50 seconds to 300 seconds.
Then it can be used to find the the probability of a time in the range from 50 seconds to 300 seconds.
From all the given option only option D gives the interval which is lies in the above range.
i.e A density graph for all of the possible times from 50 seconds to 300 seconds can be used to determine the probability of a time from 75 seconds to 250 seconds.
Answer: dark blue
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