<h3>The length of longer piece is 30 inches</h3>
<em><u>Solution:</u></em>
Let "x" be the length of longer piece
Let "y" be the length of shorter piece
<em><u>The length of a board is 55 inches</u></em>
Therefore,
x + y = 55 -------- eqn 1
<em><u>The board needs to be cut into 2 pieces with one piece 5 inches longer than the other piece</u></em>
Therefore,
x = 5 + y ------- eqn 2
Substitute eqn 2 in eqn 1
5 + y + y = 55
2y = 55 - 5
2y = 50
<h3>y = 25</h3>
Substitute y = 25 in eqn 1
x + 25 = 55
x = 55 - 25
<h3>x = 30</h3>
Thus the length of longer piece is 30 inches
Answer:
The percentage of people taking the test who score between 391 and 767 is 95%.
Step-by-step explanation:
The Empirical Rule(68-95-99.7 Rule) states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 579
Standard deviation = 94
391 = 579 - 2*94
So 391 is two standard deviations below the mean.
767 = 579 + 2*94
So 767 is two standard deviations above the mean.
By the Empirical Rule:
The percentage of people taking the test who score between 391 and 767 is 95%.
X = 9 X/-9 +9=8 9<span>/-9 +9=8 </span>
Answer:
7m² + 6m - 1
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
- Combining Like Terms
- Standard Form: ax² + bx + c = 0
Step-by-step explanation:
<u>Step 1: Define expression</u>
7m² + 6m - 1
<u>Step 2: Simplify</u>
<em>The expression cannot be simplified further.</em>
