Answer:
1.16
Step-by-step explanation:
Given that;
For some positive value of Z, the probability that a standardized normal variable is between 0 and Z is 0.3770.
This implies that:
P(0<Z<z) = 0.3770
P(Z < z)-P(Z < 0) = 0.3770
P(Z < z) = 0.3770 + P(Z < 0)
From the standard normal tables , P(Z < 0) =0.5
P(Z < z) = 0.3770 + 0.5
P(Z < z) = 0.877
SO to determine the value of z for which it is equal to 0.877, we look at the
table of standard normal distribution and locate the probability value of 0.8770. we advance to the left until the first column is reached, we see that the value was 1.1. similarly, we did the same in the upward direction until the top row is reached, the value was 0.06. The intersection of the row and column values gives the area to the two tail of z. (i.e 1.1 + 0.06 =1.16)
therefore, P(Z ≤ 1.16 ) = 0.877
Slope intercept form: y=Mx+b (where m is the slope and b is the y intercept)
So just put it into the equation
Answer: y= -8x + 4
Answer:
x = 27
y = 29
Step-by-step explanation:
Turn f(x) into y so the equation is y=x+2. Now switch their places so it is x=y+2. Now solve for y. The answer is y=x-2.
43) ang 1 = ang 2
5x = 9(x-4)
5x = 9x - 36
4x = 36
x = 9. so ang 1 + ang 2 = 90°
44) ang 1 +ang 2 + ang 3 = 180
60 + 7x+1 + 9x+7 = 180
16x = 112
x = 7
so angle 2 is 7*7+1= 50°
angle 3 is 9*7+7= 70°
45) let ang 2=x, then ang 1 is 3x
then 3x+x=96
4x = 96
x=24
angle 2 is 24° and angle 1 is 72°
