Answer:
The total number of codes which can be assigned is, 55440 .
Step-by-step explanation:
According to the question, the home alarm system randomly assigns a five-character code for each customer.The code will not repeat a character and there are 11 distinct characters.
So, the total number of codes that can be randomly assigned is given by,
= 
= 
= 55440
Answer:
Line 1: m = 2
Line 2: m = 2
The lines are parallel.
Step-by-step explanation:
First, ensure both lines are in the slope-intercept form given as y = mx + b. where m is the slope of the line.
If the slope of both lines are the same, they are parallel.
If the slope of one is the negative reciprocal of the other, they are perpendicular.
If the slope of both lines are different and one is neither the reciprocal of the other, then they are neither parallel nor perpendicular.
✍️Line 1, y = 2x + 5, is already in the slope-intercept form.
✅The slope of Line 1 is 2
✍️Line 2, y - 3 = 2(x + 15), is in point-slope.
We can decide to rewrite in the slope-intercept form or directly determine the slope as it is given. The slope is 2. But to be sure, let's rewrite as y = mx + b.
y - 3 = 2(x + 15)
y - 3 = 2x + 30
Add 3 to both sides
y = 2x + 33
✅As we can see, the slope of line 2 is 2.
✍️Line 1 and line 2 has the same slope of 2, therefore the lines are parallel.
Answer:
360 sq. units
Step-by-step explanation:
area of DOIT = (20+20) × (3+6)
= 40×9 = 360 sq. units
Your answer is correct. A
Answer:
1. City A: 150 violent crimes per 100,000 residents.
City B: 161 violent crimes per 100,000 residents.
2. City A
Step-by-step explanation:
City A:
Population = 123,000
Violent crimes = 185
Violent crimes per 100,000 people:
City B:
Population = 84,000
Violent crimes = 135
Violent crimes per 100,000 people:
1. City A: 150 violent crimes per 100,000 residents.
City B: 161 violent crimes per 100,000 residents.
2. Even though it has a bigger number of crimes, City A has the lowest crime rate since its population is larger.
