Kate needs to swim 40 laps to come complete 66 laps
        
             
        
        
        
First, start of by saying what the probability of getting a 4 is, which is 1/6.
Now, this means the probability of not getting a 4 is 1-(1/6)=(5/6), since the total probability is 1.
After doing this, you should think about what it means to only get 4 on the last trial, the 4th trial.  It means that the probabilities of the 1st, 2nd, and 3rd trial were (5/6) each.  The 4th trial had a probability of (1/6).  So the probability would be calculated as following: (

=

.  You can use a calculator or your computer to find out that the probability is 125/1296.  
I hope this was helpful!
 
        
        
        
Answer:
p = 22.50 + 15t
Step-by-step explanation:
For Malik :
Membership fee = m
Rate per tournament = t
After 4 tournaments :
m + 4t = 85 - - - (1)
After 7 tournaments :
m + 7t = 130 - - - (2)
Subtract 2 from 1
4t - 7t = 85 - 130
-3t = - 45
t = 45 / 3
t = 15
Put, t = 15 in (1)
m + 4(15) = 85
m + 60 = 85
m = 85 - 60
m = 25
Massai pays 10% less membership fee than Malik
Hence, Massai's membership fee:
(100 - 10)% * 25
0.9 * 25 = $22.50
Total price, p, Massai will pay to compete in t tournaments ;
Total price = membership fee + (rate per tournament * number of tournaments) 
p = 22.50 + 15t
 
        
             
        
        
        
Answer: 3 dollars for a book.
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
- A.  There is a line symmetry at x=1.5
- D.  There are x- intercepts at (-1,0) and (4,0)
Step-by-step explanation:
The average of x-coordinates corresponding to the same F(x) value is 1.5. That is ...
   (-2+5)/2 = (-1+4)/2 = (0+3)/2 = 1.5
The values in the table appear to be symmetrical about x=1.5, so that is a line of symmetry.
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The x-intercept points are those points where F(x) = 0: (-1, 0) and (4, 0).
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The y-intercept is (0, -4), not (-4, 0).
On the interval [0, 5] the function is both decreasing and increasing.