Answer:
0.14
Step-by-step explanation:
Using the poisson probability relation :
P(x = x) = (λ^x * e^-λ) ÷ x!
From the question ; mean, λ = 5 ; x = 3
Hence,
P(x = 3) = (5^3 * e^-5) ÷ 3!
P(x = 3) = (125 * 0.0067379) / 6
P(x = 3) = 0.8422375 / 6
P(x = 3) = 0.140
Answer:
4/3 or 1 1/3
Step-by-step explanation:
Answer:
T.A. = 16√3 units²
Step-by-step explanation:
∵ The total area = the area of the four faces
∵ The four faces are equilateral triangles with side length 4
∵ Area of the equilateral Δ = 1/4 s² √3
∴ T.A. = 4 × 1/4 × 4² × √3 = 16√3 units²
Answer:
b. -84
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>
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
<u />
<u>Step 2: Solve for </u><em><u>a</u></em>
- Addition Property of Equality:
- [Simplify] Add:

- Multiplication Property of Equality:

- [Simplify] Multiply:

<u>Step 3: Check</u>
<em>Plug in a into the original equation to verify it's a solution.</em>
- Substitute in <em>a</em>:

- [Frac] Divide:

- Subtract:

Here we see that 5 does indeed equal 5.
∴ a = -84 is the solution to the equation.