Help, I don’t understand this DeltaMath question
1 answer:
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Answer:
a)
b) 3,624.25 pounds
Step-by-step explanation:
a)
Since 4300/25 = 172, in average every single person should weight 172 pounds to exceed the design limit.
The probability that one person weights 172 pounds or more is the area under the Normal curve with mean 160 pounds and standard deviation 30 pounds to the right of 172.
<em>In Excel and OpenOffice Calc, this value is found with the formula </em>
<em>=1-NORMDIST(172;160;30;1) </em>
<em> (NORMDIST(172;160;30;1) gives the area to the left of 172, so 1-NORMDIST(172;160;30;1) gives the area to the right of 172) </em>
and equals 0.3446
(see picture 1)
Hence, the probability that all the 25 people exceeds 172 pounds equals
b)
Similarly, we must find a weight w such that if p is the area to the left of w, then
so
w would be the point such that the area under the Normal curve with mean 160 pounds and standard deviation 30 pounds to the right of w equals 0.6918.
<em>In Excel and OpenOffice Calc this is found with </em>
<em>=NORMINV(1-0.6918;160;30) </em>
and equals 144.97 pounds
(See picture 2)
and the design limit that is exceeded by 25 occupants with probability 0.0001 is 25*144.97 = 3,624.25 pounds
Answer:
The first three terms are
The 10th term is
Step-by-step explanation:
An ordered list of numbers is known as a sequence such that each number in the sequence is called a term.
The nth term is .
To find the first 3 terms, put
To find the 10th term, put in