Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
<u />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Cross-multiply:
- Distribute:
- Isolate <em>x</em> terms:
- Isolate <em>x</em> term:
- Isolate <em>x</em>:
- Rewrite:
Answer:
216π in²
Step-by-step explanation:
Base area = π × r²
36 π = π × r²
r² = 36
r = 6
Volume = base area × height
432 π = 36 π × height
height = 12
Surface area:
2 × π × r × (r + h)
2π × 6 × (6 + 12)
216π
Answer:
Answered
Step-by-step explanation:
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Answer:
Step-by-step explanation:
A vector quantity is represented by 
where y = y-coordinate and x = x-coordinate
Since vector AB represents a vector in 3rd quadrant,
It starts from point A and ends at B,
Therefore, coordinates of B are (-9, -4)
= 
Similarly vector CD starts with C and ends at D in the 2nd quadrant,
Therefore coordinates of D will be (-5, 4)
Answer:
a) 0.37
b) 0.421
c) 0.25
Step-by-step explanation:
Since the probability of winning a game is binomial (P = 0.5) the expected value for number of winning when you play 60 games is
And the standard deviation:
a) the cumulative probability of winning at least 35 games is
b)
c)
