p ( first marble red ) = 4/22
p ( second marble green ) = 7/22
Since total number of marbles r 22, then the denominator is 22 also. When Jonathan puts back the red marble aft the first round, this means with replacement so there's no change in denominator for the second round.
Fraser got 14 questions right
questions correct 70/5 = 14
—— ——
total questions 100/5 = 20
therefore he got 14 questions right
you divide 100 by 5 because percents are always out of 100 and that gets you 20 which is how many questions the spelling bee had
then you do the same to the top (divide by 5) and get 14
14/20 questions were answered right
70% of the questions were correct
Useful Log Rules:
- log(A*B) = log(A)+log(B) .......... log rule 1
- log(A/B) = log(A) - log(B) .......... log rule 2
- log(A^B) = B*log(A) ................... log rule 3
=========================================================
Part (a)
All logs shown below are base 3.
log(500) = log(5*100)
log(500) = log(5*10^2)
log(500) = log(5)+log(10^2) .... use log rule 1
log(500) = log(5) + 2*log(10) .... use log rule 3
log(500) = 1.4650 + 2*2.096 ....... substitution
log(500) = 5.657
<h3>Answer: 5.657</h3>
=========================================================
Part (b)
All logs shown below are base 3.
log(2) = log(10/5)
log(2) = log(10) - log(5) .... use log rule 2
log(2) = 2.096 - 1.4650 ....... substitution
log(2) = 0.631
<h3>Answer: 0.631</h3>
The answer would be 4 as it more than 40 degrees whoch will allow to it record
9n is the answer to this question
