Answer:
The lowest 5% of data ends at 57.73.
Step-by-step explanation:
Let the random variable <em>X</em> follow a Normal distribution with mean μ = 80.6 and standard deviation σ = 13.9.
The lowest 5% of the distribution can be expressed in terms of probability as follows:
Compute the value of <em>x</em> as follows:
The <em>z</em> score such that P (Z < z) = 0.05 is <em>z</em> = -1.645.
**Use the <em>z-</em>table for the for the <em>z</em>-score.
The value of <em>x</em> is:
Thus, the lowest 5% of data ends at 57.73.
Answer:
x = ±2√15
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
x² = 60
<u>Step 2: Solve for </u><em><u>x</u></em>
- Square root both sides: x = ±√60
- Simplify: x = ±2√15
<u>Step 3: Check</u>
<em>Plug in both solutions of x to verify it's a solution.</em>
x = 2√15
- Substitute: (2√15)² = 60
- Evaluate: 4 · 15 = 60
- Multiply: 60 = 60
x = -2√15
- Substitute: (-2√15)² = 60
- Evaluate: 4 · 15 = 60
- Multiply: 60 = 60
Here we see that both solutions do indeed work.
∴ x = ±2√15 are both solutions to the equation.
Answer:
1/3
Step-by-step explanation:
6+4+5=15 total number of balls
blue = 5 balls
5/total number = 5/15
=1/3
Variables:
p = uniform pants
c = baseball caps
Equations:
****************************************************************************************
Step 1.
Step 2.
Step 3.
Step 4.
Step 5.
Step 6.
<u />
<u />
<u />
Baseball Pants = $23
Baseball Caps = $11
