Answer:
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Step-by-step explanation:
Answer: x = 12 and y = -8
Explanation:
x + y = 4
4x + 3y = 24
———————
-3(x + y = 4)
4x + 3y = 24
———————-
-3x - 3y = -12
4x + 3y = 24
———————
x = 12
If x = 12
x + y = 4
12 + y = 4
y = -8
Answer:
Lateral surface area of the storage shed = 336 ft²
Step-by-step explanation:
The picture is the complete question.
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
Answer:
C) Uniform distribution
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely. In this case, the probability of producing a defective light bulb from a production line is the same over an interval of 90 minutes, so the correct answer is C.
We can calculate the probability.
Uniform probability distribution
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is given by the following formula.

For this problem, we have that:
Uniformily distributed over a 90 minute interval, that is, between 0 and 90, so
and
.
We want to find 