Answer:
14
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
K² + 5
K = 3
<u>Step 2: Evaluate</u>
- Substitute in <em>K</em>: 3² + 5
- Exponents: 9 + 5
- Add: 14
I this is the entire question the answer is 78.74 inches or 6 1/2 feet
looks like F(x)= |x| for me.
Answer:
Step-by-step explanation:
First, we open the parentheses by multiplying the contents of the parentheses by 3 (because it says 3(2x+6)). The final result is <u>6x+18</u>
Answer:
0.5 ; 0.475 ; 0.689 ; 0.4013
Step-by-step explanation:
Given that:
Rate of production of defective batteries p = 0.05
Number of batteries produced (n) = 10
The expected number of defective batteries = mean = n * p = 10 * 0.05 = 0.5 batteries
Variance of defective batteries :
Var(X) = n * p * q ; q = 1 - p
Hence,
Var(X) = 10 * 0.05 * 0.95 = 0.475
Standard deviation (X) = sqrt(variance) = sqrt(0.475) = 0.689
Probability that atleast 1 battery is defective :
Using the binomial probability function
P(x ≥ 1) = 1 - p(x = 0)
= 1 - q^n
= 1 - 0.95^10
= 1 - 0.59873693923837890625
= 0.40126306076162109375
= 0.4013
