Answer:
See below
Step-by-step explanation:
r=0 means there is zero correlation between the independent and dependent variables. Most likely, some other regression model will help to bring the value of r closer to -1 or 1 to show a strong correlation.
9514 1404 393
Answer:
- boat: 48 km/h
- current: 14 km/h
Step-by-step explanation:
The upstream speed is ...
u = (204 km)/(6 h) = 34 km/h
The downstream speed is ...
d = (372 km)/(6 h) = 62 km/h
The speed of the boat in still water is the average of these values:
b = (34 kph +62 kph)/2 = 48 kph
The speed of the water is the difference between the boat's speed and the speed made good:
w = 48 -34 = 14 . . . km/h
The rate of the boat in still water is 48 km/h. The rate of the current is 14 km/h.
Answer:
There are 2,598,960 ways to receive 5 cards from a deck of 52.
Step-by-step explanation:
The order in which the cards are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
a. How many ways are there to receive 5 cards from a deck of 52?
There are 2,598,960 ways to receive 5 cards from a deck of 52.
For this case we have the following equation, in a linear way:
This expression can be written in the form 
Where "m" is the slope and "b" is the cut point with the y axis.
Rewriting the given expression we have:
Thus, the slope is 3 and the cut point is -5.
To graph, we must find two points through which the line passes, so, we perform the following steps:
Step 1:
We do 
Thus, the point 
Step 2:
We do
Thus, the point 
Answer:
See attached image
An equation that doesn't have a solution would have to end up as something impossible when you solve it all out, like
5=3.
When you simplify your equation out, you get
3x-4=3x+?
Subtract 3x from both sides.
-4=?
From this, you can tell that you need to out something in the ? that will make the equation false, or something that doesn't equal -4.
You could put anything in the ? as long as it is not -4.
Hope this helps!
