Answer:
1/12
Step-by-step explanation:
There is only number between 1 and 12 that is both a multiple of 5 and 2, that being 10. 10 has an equal chance out of all the other numbers that can be spun, and there are 12 numbers, so 10 has a 1/12 chance of being spun.
Answer:
x = 3, 5
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
- Subtract Property of Equality
<u>Algebra I</u>
- Terms/Coefficients/Degrees
- Standard Form: ax² + bx + c = 0
- Multiple Roots
- Factoring
- Completing the Square: -b/(2a)
Step-by-step explanation:
<u>Step 1: Define</u>
x² - 8x + 15 = 0
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Subtraction Property of Equality] Subtract 15 on both sides: x² - 8x = -15
- Complete the Square [Addition Property of Equality]: x² - 8x + 16 = -15 + 16
- [Complete the Square] Simplify: (x - 4)² = 1
- [Equality Property] Square root both sides: x - 4 = ±1
- [Addition Property of Equality] Add 4 on both sides: x = 4 ± 1
- Evaluate: x = 3, 5
Answer:
6
Step-by-step explanation:
The ordered pairs that satisfy the inequality are shown in the attachment. There are 6 of them.
Answer:
The probabilities would be 4/11 and 7/11 respectively.
Step-by-step explanation:
1) Total length of the given word i.e. Mathematics = 11
2) Number of vowels in the given word = 4 i.e. a,e,a,i
3) Number of consonants in the given word = 7 i.e. m,t,h,m,t,c,s
4) The probability of choosing a vowel would be 4/11 = 0.3636..
5) The probability of choosing a consonant would be 7/11 = 0.6363...
Step-by-step explanation: