Answer:
P ( 37 < x < 41) = P(-0.5 < Z < 1.5) = 0.6247
Step-by-step explanation:
We know mean u = 38 standard dev. s = 2
We want P ( 37 < x < 41)
so
P( (37 - 38) / 2 < Z) = P(-0.5 < Z)
P( Z < (41 - 38)/2 ) = P( Z < 1.5)
Find P(Z < -0.5) = 0.3085
Find P(Z > 1.5) = 0.0668
so P(-0.5 < Z < 1.5) = 1 - P(Z < -0.5) - P(Z > 1.5)
P(-0.5 < Z < 1.5) = 1 - 0.3085 - 0.0668
P(-0.5 < Z < 1.5) = 0.6247
P ( 37 < x < 41) = P(-0.5 < Z < 1.5) = 0.6247
Answer:
Step-by-step explanation:
-2x²=-8x+8 means : -2x²+8x-8
the discrinant of the quadratic equation is : delta = b²-4ac
when a=-2 and b=8 and c= -8
calculate delta = (8)²-4(-2)(-8) ......continu
Supplimentary angles add upto 180 degrees.
Given that angle P is three times angle Q-4 then ;
Let angle P be 3(x-4) = 3x -12
Let angle Q be x
Applying the rule of supplimentary angles;
Divide both sides by 4 to get value of x in degrees
x= 48 degrees
Angle Q = 48 degrees
Angle P = 3x-12 = (3*48)-12 = 132 degrees
2x + y = 7
y = -2x + 7 where slope m = -2 and b= y intercept = 7
Answer is C
slope : -2 and y intercept = 7
