Define least common multiple
1 answer:
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Answer:
(a) The probability that the port handles less than 5 million tons of cargo per week is 0.7291.
(b) The probability that the port handles 3 or more million tons of cargo per week is 0.9664.
(c) The probability that the port handles between 3 million and 4 million tons of cargo per week is 0.2373.
(d) The number of tons of cargo per week that will require the port to extend its operating hours is 5.35 million tons.
Step-by-step explanation:
Let <em>X</em> = amount of cargo the port handles per week.
The random variable <em>X</em> is Normally distributed with parameters,
<em>μ</em> = 4.5 million
<em>σ</em> = 0.82 million
(a)
Compute the probability that the port handles less than 5 million tons of cargo per week as follows:
*Use a <em>z</em>-table for the probability.
Thus, the probability that the port handles less than 5 million tons of cargo per week is 0.7291.
(b)
Compute the probability that the port handles 3 or more million tons of cargo per week as follows:
*Use a <em>z</em>-table for the probability.
Thus, the probability that the port handles 3 or more million tons of cargo per week is 0.9664.
(c)
Compute the probability that the port handles between 3 million and 4 million tons of cargo per week as follows:
Thus, the probability that the port handles between 3 million and 4 million tons of cargo per week is 0.2373.
(d)
It is provided that P (X < x) = 0.85.
Then, P (Z < z) = 0.85.
The value of <em>z</em> for this probability is:
<em>z</em> = 1.04.
Compute the value of <em>x</em> as follows:
Thus, the number of tons of cargo per week that will require the port to extend its operating hours is 5.35 million tons.
Height of bottom box : - 
Height of top box : -
Thus, height of two boxes =
Happy to help chodini!
Height of top box : -
Thus, height of two boxes =
Happy to help chodini!
Answer: 27 times bigger.
Step-by-step explanation:
You need to use the following formula to find the volume of a Square pyramid:
Where "s" is the edge of a side of the square base and "h" is the height of the pyramid.
Knowing that:
You can find the volume of the Pyramid A and the volume of the Pyramid B:
Finally divide the volume of the Pyramid B and the volume of the Pyramid A, in order to find how many times bigger than the Pyramid A is the Pyramid B.
You get: