Answer:
First on is 0.75
Second is 22/52 (not sure about this one though)
Step-by-step explanation:
For the first one:
P(aUb) = p(a) + p(b) - p(a^b)
0.6 = 0.4 + 0.5 - p(a^b)
p(a^b) = 0.3
P(a/b)= p(a^b)/p(a)
P(a/b)= 0.3/0.4
P(a/b)= 0.75
For the second one:
Total of the cards are 52
Diamonds are 13 out of that 52
Face cards are 12 out of that 52
Diamond OR face cards means p(aUb)
And that equals p(a)+p(b)-p(a^b)
p(a^b) means the intersection between the two, there are three common cards between diamonds and face cards, so p(a^b)=3
13/52 + 12/52 - 3/52= 22/52
Answer:
F(a) =2a^2+4a+5
Step-by-step explanation:
just put x= a
Answer:
x = √39
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: Identify</u>
Leg <em>a</em> = <em>x</em>
Leg <em>b</em> = 5
Hypotenuse <em>c</em> = 8
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [PT]: x² + 5² = 8²
- Isolate <em>x</em> term: x² = 8² - 5²
- Exponents: x² = 64 - 25
- Subtract: x² = 39
- Isolate <em>x</em>: x = √39
Answer:
105.23-101.48=3.75
3.75/5=0.75
Step-by-step explanation: