So lets do it like this:
z = (X-Mean)/SD
<span>z1 = (8-12)/2 = - 2 </span>
<span>z2 = (16-12)/2 = + 2 </span>
<span>According to the Empirical Rule 68-95-99.7 </span>
<span>Mean more or less 2SD covers 95% of the values </span>
So t<span>he percentage of data points falling between 8 and 16 = 95%
</span>I hope this can help
1.3 is the answer to your question
Answer: The area of yellow band is sq. inches.
Step-by-step explanation:
Let the side length of the red square be 'x' inches
Width of the yellow band surrounds the red square = 6 inches
So, Length of band would be
Width of band would be
So, Area of the yellow band would be
Hence, the area of yellow band is sq. inches.
Answer:
D. <em>a</em> = 11.71 and <em>b</em> = 15.56
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Trigonometry</u>
- All angles in a triangle add up to 180°
<u>Pre-Calculus</u>
- Law of Sines:
Step-by-step explanation:
<u>Step 1: Define</u>
AC = b
CB = a
AB = 7
m∠A = 45°
m∠B = 110°
m∠C = ?
<u>Step 2: Find missing ∠</u>
- Set up equation: m∠C + 45° + 110° = 180°
- Combine like terms: m∠C + 115° = 180°
- Isolate unknown: m∠C = 25°
<u>Step 3: Find measure of </u><em><u>b</u></em>
- Substitute:
- Cross-multiply:
- Isolate <em>b</em>:
- Evaluate:
- Round:
<u>Step 4: Find measure of </u><em><u>a</u></em>
- Substitute:
- Cross-multiply:
- Isolate <em>a</em>:
- Evaluate:
- Round: