The answer for leading coefficient should be 1.
 
        
                    
             
        
        
        
probability that the persons IQ falls between 110 and 130 is 0.2286 .
<u>Step-by-step explanation:</u>
Step 1: Sketch the curve.
The probability that 110<X<130 is equal to the blue area under the curve.
Step 2:
Since μ=100 and σ=15 we have:
P ( 110 < X < 130 )=P ( 110−100 < X−μ < 130−100 )
⇒ P ( (110−100)/15< (X−μ)/σ<(130−100)/15)
Since Z = (x−μ)/σ , (110−100)/15 = 0.67 and (130−100)/15 = 2  we have:
P ( 110<X<130 ) = P ( 0.67<Z<2 )
Step 3: Use the standard normal table to conclude that:
P ( 0.67<Z<2 )=0.2286
Therefore,  probability that the persons IQ falls between 110 and 130 is 0.2286 .
 
        
             
        
        
        
<span>The answer is 6 m.
To arrive at this answer you solve the following equation: {let x = the original length of the garden)
(x+7)^2 = 169
x+7 = 13
x = 13-7
x = 6m</span>
        
             
        
        
        
Cos (3π/4) can be written as,
cos (π-π/4) = -cosπ/4 = -1/√2
similarly sin3π/4=sin(π-π/4) = sin π/4 = 1/√2
        
                    
             
        
        
        
Answer:
x = -3/2
Step-by-step explanation:
Lets first multiply the entire equation by 4 to get rid of the fractions.
1+2+4x = -3
3+4x = -3
4x = -6
x = -6/4
x = -3/2