Recall your d = rt, distance = rate * time.
let's say the boat has a still water rate of "b", and the current has a a rate of "c", ok.... when the boat is going upstream, is not really going "b" fast, is going slower at "b - c", due to the current going in the opposite direction.
when the boat is coming downstream, is not going "b" fast either, is going faster, is going "b + c", due to the current adding speed to it.
we know the trip up was 108 kms, thus the return trip is also 108 kms.
![\bf \begin{array}{lccclll} &distance&rate&time\\ &-----&-----&-----\\ Upstream&108&b-c&3\\ Downstream&108&b+c&2 \end{array} \\\\\\ \begin{cases} 108=3(b-c)\implies \cfrac{108}{3}=b-c\implies 36+c=\boxed{b}\\\\ 108=2(b+c)\\ --------------------\\ 108=2\left(\boxed{36+c} +c \right) \end{cases} \\\\\\ \cfrac{108}{2}=36+2c\implies 54=36-2c\implies \cfrac{54-36}{2}=c](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Blccclll%7D%0A%26distance%26rate%26time%5C%5C%0A%26-----%26-----%26-----%5C%5C%0AUpstream%26108%26b-c%263%5C%5C%0ADownstream%26108%26b%2Bc%262%0A%5Cend%7Barray%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Cbegin%7Bcases%7D%0A108%3D3%28b-c%29%5Cimplies%20%5Ccfrac%7B108%7D%7B3%7D%3Db-c%5Cimplies%2036%2Bc%3D%5Cboxed%7Bb%7D%5C%5C%5C%5C%0A108%3D2%28b%2Bc%29%5C%5C%0A--------------------%5C%5C%0A108%3D2%5Cleft%28%5Cboxed%7B36%2Bc%7D%20%2Bc%20%5Cright%29%0A%5Cend%7Bcases%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7B108%7D%7B2%7D%3D36%2B2c%5Cimplies%2054%3D36-2c%5Cimplies%20%5Ccfrac%7B54-36%7D%7B2%7D%3Dc)
and surely you know how much that is.
what's the boat's speed? well, 36 + c = b.
Answer:
THE CORRECT ANSWER IS D " THE THEORETICAL PROBABILITY OF PULLING A BLUE PEN BASED ON THE EXPECTED FREQUENCY WILL GET CLOSER TO 1/2 AS THE NUMBER OF TRIALS INCREASES. "
Answer:
(67/100)×(3/10)= (67x3)/(100×10)=201/1000=201/1000=0.201
Answer:
735,130.
Step-by-step explanation:
The order of election of the 3 representatives does not matter so it is a combination.
The number of possible combinations
= 165! / 162! 3!
= (165 * 164 * 163) / (3*2*1)
= 735,130.