100-40
60% of the marbles are Jolie's
Answer: 31.25%
Two ways to solve this problem:
#1: Use the formula: 
#2 Use a graphing calculator and use the function binompdf(n, p, x)
#1: Formula:
#2: Faster method
binompdf(6, 0.5, 3) = 0.3125
Answer:
x = √53
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use PT to solve for the missing length.
<u>Step 2: Identify Variables</u>
Leg <em>a</em> = 6
Leg <em>b</em> = <em>x</em>
Hypotenuse <em>c</em> = √89
<u>Step 3: Solve for </u><em><u>x</u></em>
- Set up equation: 6² + x² = (√89)²
- Isolate <em>x</em> term: x² = (√89)² - 6²
- Exponents: x² = 89 - 36
- Subtract: x² = 53
- Isolate <em>x</em>: x = √53
6 - 8c = -10 - 10c
and you're solving for c. what you really need to do in problems like this is combine like terms: -10 and 6 are like terms, because they are numbers without variables. -8c and -10c are like terms, because they are variables with coefficients.
6 - 8c = -10 - 10c ... add 10c to both sides
6 + 2c = -10 ... subtract 6 from both sides
2c = -16 ... divide both sides by 2
c = -8 is your result.
