Answer:
29. 15.87%
30. 4.75%
31. 0.62%
32. probability cannot be calculated (0%)
Step-by-step explanation:
We have that the formula of the normal distribution is:
z = (x - m) / sd
where x is the value we are going to evaluate, m is the mean and sd is the standard deviation
x = 16 and m = 16.5
when sd = 0.5
z = (16 - 16.5) /0.5
z = -1
Now when looking in the z table, we have that the corresponding value is 0.1587, that is, the probability is 15.87%
when sd = 0.3
z = (16 - 16.5) /0.3
z = -1.67
Now when looking in the z table, we have that the corresponding value is 0.0475, that is, the probability is 4.75%
when sd = 0.2
z = (16 - 16.5) /0.2
z = -2.5
Now when looking in the z table, we have that the corresponding value is 0.0062, that is, the probability is 0.62%
when sd = 0
z = (16 - 16.5) / 0
z = infinity
probability cannot be calculated
Answer:
9
Step-by-step explanation:
if z=8 then z^2 would be 64, which is not equal to 80
iz z=9 then z^2 would be 81, which is closer to 80 than 64
therefore, 9 is the whole number than z would be closest to
Answer:
<u>y+5 =-3</u>
x-1
y+5=-3x +3
y=-3x-2
Step-by-step explanation:
9514 1404 393
Answer:
no solution
Step-by-step explanation:
The discriminant is ...
b^2 -4ac = (-4)^2 -4(2)(16) = 16 -128 = -112
A negative discriminant means there are no real solutions to the equation.
_____
The complex solutions are 1±i√7.
If we assume the equation has a typographical error and is intended to be ...
2x^2 -4x -16 = 0
The solutions are x = -2 and x = 4.