Given:
loan = 200
payment per week = 12
should be less than = 60
12x - 200 < 60
12x - 200 < 60
<u> +200 +200</u>
12x < 260
<u>÷12 ÷12</u>
x < 21.67
If x = 20
12x - 200 < 60
12(20) - 200 < 60
240 - 200 < 60
40 < 60
Start with the given equation. Subtract 32 from both sides. Multiply both sides by 5.
Divide both sides by
<h2>
Answer:</h2>
The probability that exactly one customer dines on the first floor is:
0.26337
<h2>
Step-by-step explanation:</h2>
We need to use the binomial theorem to find the probability.
The probability of k success in n experiments is given by:
where p is the probability of success.
Here p=1/3
( It represents the probability of choosing first floor)
k=1 ( since only one customer has to chose first floor)
n=6 since there are a total of 6 customers.
This means that:
15 Short Answer Questions
( =45 points)
5 Multiple Choice Questions
( = 5 points)
Answer:
3x(x - 4)(x + 2)
Step-by-step explanation:
Given
3x³ - 6x² - 24x ← factor out common factor of 3x from each term
= 3x(x² - 2x - 8) ← factor the quadratic
Consider the factors of the constant term (- 8) which sum to give the coefficient of the x- term.
The factors are - 4 and + 2, since
- 4 × 2 = - 8 and - 4 + 2 = - 2, thus
x² - 2x - 8 = (x - 4)(x + 2) and
3x³ - 6x² - 24x = 3x(x - 4)(x + 2)
