Answer:
or
(see explanation)
Step-by-step explanation:
This problem is asking about compound probability, what is the probability of this even happening three times in a row.
Since there are 20 boy's names and 20 girl's names in the hat, one can say that half of the names in the hat. Assume that after drawing it from the hat, the name is put back into the hat. Therefore, on each night, there is a half-chance of the event happening. To find the probability of the event, one must multiply () by itself (3) times,
In this case, assume that after each drawing the name is not replaced into the hat. This means that after every draw, one must subtract (1) from both the numerator and denominator of the fraction when the fraction is in the un-simplified form.
Simplify,
Speed is the ratio of distance and time.
So, average speed= Total distance/ total time.
Let's assume t is the time taken for going from New Orleans to Boston and it's taking 1 hour less to return back. So, time taken for return back is t-1.
Given the speed from New Orleans to Boston is 40 mph. So,
Distance = Speed * time
So, d =40 t
Hence t= d/40
Similarly Distance for returning back:
d =80 (t-1)
d/80 = t-1 (Dividing 80 to each sides)
Now the total distance= d+ d = 2d
And total time : t + t -1= d/40 + d/80
So, the average speed =
= (cancel out d )
Common denominator of 40 and 80 is 80. So, multiply each terms by 80.
=
=
=
=53.33 mph
So, the average speed is 53.33 mph.
-------------------------
12x³+6x²+3x
GCF = 3x
3x(12x³/3x + 6x²/3x + 3x/3x)
3x(4x² + 2x + 1)
-------------------------
Answer:
27
Step-by-step explanation:
its 3 times 3 times 3
Answer: 25 km
Step-by-step explanation:
500 km / 5 = 100 km up stream
500 km / 4 = 125 km down stream
125 - 100 = 25 km in still water