Answer:
The mean amount of cereal in a box must be 23.42 ounces.
Step-by-step explanation:
Let <em>X</em> = amount of cereal in a box.
It is provided that <em>X</em> follows a normal distribution with mean <em>μ</em> and standard deviation <em>σ</em> = 0.25.
If 99% of the boxes contain 24 ounces or more of cereals then the probability statement is:

Use the <em>z</em> table to determine the <em>z-</em>value.
The value of <em>z</em> is -2.33.
Determine the value of <em>μ</em> as follows:

Thus, the mean amount of cereal in a box must be 23.42 ounces.
The height of the doorway in inches is 72
Answer:
-3
Step-by-step explanation:
Step 1: Write equation
-7.6(x - 1) = 7.3 - 7.4x
Step 2: Solve for <em>x</em>
<u>Distribute -7.6:</u> -7.6x + 7.6 = 7.3 - 7.4x
<u>Add 7.6x on both sides:</u> 7.6 = 7.3 + 0.2x
<u>Subtract 7.3 on both sides:</u> 0.3 = 0.2x
<u>Divide both sides by 0.2:</u> x = 1.5
Step 3: Find <em>-2x</em>
-2(1.5) = -3