In large-scale tree-felling operations, a machine cuts down trees, strips off the branches and then cuts the trunks into logs of length X feet for transporting to a sawmill.
It may be assumed that values of X are normally distributed with mean = 3 feet and a
standard deviation of 0.50 feet.
A cut log is randomly selected. Calculate the following probabilities. Round your final
answers to four decimal places.
(a) The log is less than 2 feet
(b) The log is exactly 3.5 feet
(c) The log is between 2 and 5 feet
(d) The log is more than 3.5 feet
(e) The log is either more than 3.5 feet or less than 2 feet
(f) Log lengths in the top 10% of the distribution are deemed a driving hazard. What is the
shortest log length that would deem a log a driving hazard?
9:42

76%

step-by-step explanation:

24% are dogs and the remaining is 76% because 100-24=76

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺

can you complete your sentence? i could !

the answer is: -22 also a

hope i

-lavira: )