Two dice are rolled; find the probability for total: a) 1, b) 4 or 6; c) <13
1 answer:
Answer:
0 ; 2/9 ; 1
Step-by-step explanation:
In a roll of two dice ;
The sample space = (Number of faces on die)^number of dice rolled = 6^2 = 36
The total possible outcome = sample space = 36
The probability of an event (A) :
P(A) = number of required outcome / number of total possible outcomes
find the probability for total: a) 1,
P(total of 1)
Number of 1 total = 0
Hence, P(total of 1) = 0
b) 4 or 6;
Number of 4 total = 3
Number of 6 total = 5
3 /36 + 5 / 36 = 8/36 = 2/9
c) <13
P(total < 13)
Number of total < 13 = 36
36 / 36 = 1
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Answer:
- x + y = 5
- y = -x + 5
Step-by-step explanation:
We can start with the point-slope form of the equation for a line. To meet the given requirements, we can use a point of (5, 0) and a slope of -1. Then the equation in that form is ...
y -0 = -1(x -5)
Simplifying gives the slope-intercept form:
y = -x +5 . . . . . . . use the distributive property to eliminate parentheses
Adding x to both sides gives the standard form:
x + y = 5
__
<em>Explanation</em>
We know the line has the required intercept and slope because we chose those values to put into the point-slope form. Conversion from one form to another made use of the rules of equality, the additive identity element (y-0=y), and the distributive property.
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.