Answer:
The answer is below.
Explanation:
The z score is a used in statistics to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
a) Given that n = 100, μ = 2000, σ = 18
For x < 1995 millimeters:
From the normal distribution table, P(x < 1995) = P(z < -2.78) = 0.0027
b) P(z > z*) = 10% = 0.1
P(z < z*) = 1 - 0.1 = 0.9
z* = 1.28
From the normal distribution table, P(z < z
Answer:
x = or
Explanation:
The cardboard box is in the shape of a cube. The surface area of the box is given by:
S = 6
To find the inverse, we have to solve for x. To solve for x means we will make x the subject of the equation above
Divide both the right and left hand side by 6, we have:
6 ÷ 6 = S ÷ 6 ⇒
=
=
Take the square root for both the right and left hand side, we have:
=
⇒ x =
x = or
Therefore, x is equivalent to the square root of (S/6)