Answer:
L = 5
Step-by-step explanation:
use Pythagorean Theorem:
L² + (5 )² = (10
)² = (10 )²
)²
L² + 25(2) = 100(3)
L² + 50 = 300
L² = 250
L =  =
 =  ·
 ·  = 5
 = 5
 
        
                    
             
        
        
        
Answer:
Change per week: $20
Starting amount of money: $550
Step-by-step explanation:
<u>Given equation</u>:

where:
- x = number of weeks
- y = total account balance
<u>Change per week</u>
As the variable x represents the number of weeks, its coefficient represents the change per week in the amount of money.
Therefore, the change per week in the amount of money in the account is $20.
<u>Initial Balance</u>
The starting amount of money in the account (initial balance) will be the value of y when x = 0:

Therefore, the starting amount of money in the account is $550.
 
        
             
        
        
        
Answer:
(27.3692 ; 44.6308) 
Step-by-step explanation:
Mean, xbar = 36
Standard deviation, s = 11
Sample size, n = 12
Tcritical at 0.2, df = 12 - 1 = 11 ; Tcritical = 2.718
Confidence interval :
Xbar ± Margin of error 
Margin of Error = Tcritical * s/sqrt(n)
Margin of Error = 2.718 * 11/sqrt(12) = 8.6308
Confidence interval :
Lower boundary : 36 - 8.6308 = 27.3692
Upper boundary : 36 + 8.6308 = 44.6308
(27.3692 ; 44.6308)