Answer:
Function 1:
The starting point is (0,0.5)
As x increases, y increases
Function 2:
The starting point is (0,3)
As x increases, y decreases
Step-by-step explanation:
In order to find the starting point, we need to plug in x=0.
As we plug in increasing numbers into function#1, the y-value increases
As we plug in increasing numbers into function #2, the y-value is decreasing
<span>This would be a bell curve with a z-score of greater than +2.00, since 3 minutes is exactly two standard deviations greater than the mean of 2.00. Looking at a z-score table for the proportion of the curve that lies in the 1-tailed area greater than 2.00, we find that the value is .0228. This would be the probability that the conversation is over three minutes: 0.0228 or 2.28%.</span>
Answer:
h
Step-by-step explanation:
To solve this we are going to use the speed equation:
where
is speed
is distance
time
We know from our problem that the upstream trip takes 2 hours, so
. We also know that the downstream trip takes 1.7 hours, so
. Notice that the distance of both trips is the same, so we are going to use
to represent that distance.
Now, lets use our equation to relate the quantities:
For the upstream trip:
equation (1)
For the downstream trip:
equation (2)
We know that the boat travels 2.5 miles per hour faster downstream, so the speed of the boat upstream will be the speed of the boat downstream minus 2.5 miles per hour:
equation (3)
Replacing (3) in (1):
equation (4)
Solving for
in equation (2):
equation (5)
Replacing (5) in (4):
equation (6)
Replacing (6) in (5)
miles
We can conclude that the boat travel
, which is approximately 28.3 miles, in one way.
Each number in the ratio 4:5:7 is worth 6 sweets. add 4,5, and 7 to get 16 then multiply it by 6 to get 96 sweets.
