Answer:
that is the equation of the line, its slope is 1 and the y-intercept is 1 y = x + 1
Step-by-step explanation:
we can calculate the slope of this line passing through (4,5) and (8,9) like this:
m = (y2 - y1)/(x2 - x1)
m = (9 - 5)/(8 - 4)
m = 4/4
m = 1
so the slope is 1, and now we can use the equation of one point and the slope to write the line's equation:
y - y1 = m(x - x1)
y - 5 = 1*(x - 4)
y - 5 = x - 4
y = x + 1
that is the equation of the line, its slope is 1 and the y-intercept is 1
 
        
             
        
        
        
Answer:
100 million
Step-by-step explanation:
 
        
             
        
        
        
Answer:
There is a 34.3% probability that he makes all of the shots.
Step-by-step explanation:
For each foul shot that he takes during the game, there are only two possible outcomes. Either he makes it, or he misses. This means that we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which  is the number of different combinatios of x objects from a set of n elements, given by the following formula.
 is the number of different combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem we have that:

What is the probability that he makes all of the shots?
This is P(X = 3).


There is a 34.3% probability that he makes all of the shots.
 
        
             
        
        
        
Answer:\ a.The wire is part of the electric circuit. The electric current will not flow if it breaks
Step-by-step explanation:
Hope this helps!