Let X be the national sat score. X follows normal distribution with mean μ =1028, standard deviation σ = 92
The 90th percentile score is nothing but the x value for which area below x is 90%.
To find 90th percentile we will find find z score such that probability below z is 0.9
P(Z <z) = 0.9
Using excel function to find z score corresponding to probability 0.9 is
z = NORM.S.INV(0.9) = 1.28
z =1.28
Now convert z score into x value using the formula
x = z *σ + μ
x = 1.28 * 92 + 1028
x = 1145.76
The 90th percentile score value is 1145.76
The probability that randomly selected score exceeds 1200 is
P(X > 1200) 
Z score corresponding to x=1200 is
z = 
z = 
z = 1.8695 ~ 1.87
P(Z > 1.87 ) = 1 - P(Z < 1.87)
Using z-score table to find probability z < 1.87
P(Z < 1.87) = 0.9693
P(Z > 1.87) = 1 - 0.9693
P(Z > 1.87) = 0.0307
The probability that a randomly selected score exceeds 1200 is 0.0307
 
        
             
        
        
        
Answer:
8 square units
Step-by-step explanation:
x + 1 = 0
x = -1
x + 8 = 0
x = -8
Area = (-1) * (-8) = 8 square units
 
        
             
        
        
        
The answer would be : A parallelogram with congruent sides does NOT guarantee that a quadrilateral is a rectangle  
        
             
        
        
        
Answer:
The answer is 15 units hope that helps 
Step-by-step explanation:
Apply pythagorean formulae here 
Take the 17 as hypotenuse... And 8 as the base.... 
So the pythagorean formulae is
( hypotenuse) Square = (height) Square + (base) Square...... 
Hence put the values and the height comes as 15 units 
BTW are u Indian?...