Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] cosθ = adjacent over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
Angle θ = 28°
Adjacent Leg = EF = <em>x</em>
Hypotenuse = DF = 18
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Cosine]:
- [Multiplication Property of Equality] Multiply 18 on both sides:
- Evaluate trig:
- Multiply:
- Rewrite:
- Round:
We have been given that the average age of a breed of dog is 19.4 years. The distribution of their ages is normal and 20% of dogs are older than 22.8 years. We are asked to find the standard deviation.
Since 20% of dogs are older than 22.8 years, so 80% of dogs are younger than 22.8.
We will use z-score formula to solve our given problem.
, where,
z = z-score,
x = Random sample score,
= Mean,
= Standard deviation.
Now we will use normal distribution table to find the z-score corresponding to 80% or .
z-score corresponding to 0.80 is 0.845.
Upon substituting our given values in z-score formula, we will get:
Therefore, the standard deviation is approximately 4.02 years.
The relative maximum for this graph is most likely to be choice A
Answer:
C
Step-by-step explanation:
Answer:
2.837
Step-by-step explanation:
T = 2π√(L/g)
= 2π * √(2/9.80665)
= 2.837 s .