Answer:
21/676
Step-by-step explanation:
The total number of letters of the alphabet will be the total outcome which is 26 alphabets.
If consonant numbers are drawn out, the probability of drawing a consonant will be total consonants/total alphabets
Total consonants in the alphabet is 21.
Probability of drawing consonants = 21/26.
Since all the consonants are replaced before drawing a Z, our total outcome will not change i.e it will still be 26.
Probability of drawing a letter Z will be 1/26.
Therefore, the probability of drawing a consonant,replacing it, and then drawing a Z will be;
21/26×1/26
= 21/676
Answer:
\left(ax^2\right)\left(-6x^b\right)=12x^5\\\\(-6a)x^{2+b}=12x^5\to -6a=12\ and\ 2+b=5\\\\-6a=12\ \ \ |:(-6)\\a=-2\\\\2+b=5\ \ \ |-2\\b=3
Answer:\ a=-2;\ b=3
Step-by-step explanation:
Answer:
(0, 1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y + 5x = 1
5y - x = 5
<u>Step 2: Rewrite Systems</u>
y + 5x = 1
- Subtract 5x on both sides: y = 1 - 5x
<u>Step 3: Redefine Systems</u>
y = 1 - 5x
5y - x = 5
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitution in <em>y</em>: 5(1 - 5x) - x = 5
- Distribute 5: 5 - 25x - x = 5
- Combine like terms: 5 - 26x = 5
- Isolate <em>x</em> term: -26x = 0
- Isolate <em>x</em>: x = 0
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define equation: 5y - x = 5
- Substitute in <em>x</em>: 5y - 0 = 5
- Subtract: 5y = 5
- Isolate <em>y</em>: y = 1
Answer:
0.0325
Step-by-step explanation:
3.25% = 3.25 over 100 or,
3.25%=3.25100
3.25 over 100 is the same as 3.25 divided by 100. Completing the division we get:
3.25 ÷ 100 = 0.0325
Therefore, we have shown that
3.25% = 0.0325
