Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (6, 8)
Point (5, 5)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope<em> m</em>
- Substitute in points [SF]:

- [Fraction] Subtract:

- [Fraction] Divide:

Answer: 0.8031
Step-by-step explanation:
Binomial distribution:
For a binomial variable x,
The probability of getting success in x trials = 
, where n = Total trials .
p= Probability of getting success in each trial.
For the given situation , we take x as the number of damaged apple .
Given : The proportion of damaged apples : p=0.15
n= 10
Then, the probability that his sample will contain at least one damaged apple. :-

Hence, the required probability = 0.8031
Five tens are in 54, with 4 ones left over. hope this helped!!
I'm not sure it is for sure a real number or a rational number.
Answer:
Step-by-step explanation:
hello :
a)
let f(x) = y so : x = g(y)
in expression = f(x) =3x+12
means : y = 3x +12 calculate : x
3x = y -12
x = (1/3)y - 4
the inverse is : g(x) = (1/3)x - 4
b)f(g(-2) = f(-14/3)
because: g(-2) = (1/3)(-2)-4 = -2/3-4 = -14/3
so : f(g(-2) = f(-14/3)=3(-14/3)+12 = - 2