Answer:
50%
Step-by-step explanation:
So, we divide by another 2! to cancel out double counting of two T's. Finally, if we divide all 6 different ways of getting exactly 2 heads (and 2 tails) in 4 flips by all possible outcomes 2 * 2 * 2 * 2 = 16 we would get the probability of exactly 2 heads in 4 flips.
Answer:
Ashley's house is 12.1 miles away from Bridgette's house
Ashley's house is 10.2 miles away from Carly's house
Ashley's house is closer to Carly's house by 1.9 miles
Explanation:
Use the distance formula to calculate the distance between points
We were told that the distance 
is directly proportional to the time 
.
We write this mathematically as,
We can now introduce our constant of variation and write the equation for the direct equation as;
where 
is the constant of variation or constant of proportionality.
We substitute 
and 
, in to the equation of variation to obtain the constant of proportionality.
That is;
This implies that,
This simplifies to give us,
Now our equation of proportion becomes,
When T=20
Writing this as a mixed number we obtain,
This can also be rewritten as
correct to one decimal places.
Therefore the care covers 
miles in 
minutes.
Answer:
Helen: 60mph and Anne: 50mph
Step-by-step explanation:
3.2r+2.8(r-10)=332 is the equation that we use, given the information we have.
We distribute and combine like terms and add 28 to both sides and divide by 6.
3.2r+2.8(r-10)=332
3.2r+2.8r-28=332
6r=360
6r/6=360/6
r=60 So, Helen's speed is 60mph.
Next, we'll solve Anne's speed.
r-10=50
60-10=50 So, Anne's speed is 50mph.
