Answer:
d. the travel time
Step-by-step explanation:
We are studying the travel time for the college student, which is between 40 and 90 minutes, distributed uniformly.
40 and 90 minutes are the intervals of the variable, and the variable is the travel time, which is random. Uniform is how the distribution is characterized, which means that each outcome(travel time beween 40 and 90 minutes) is equally as likely.
So the correct answer is:
d. the travel time
Answer:157/10
Step-by-step explanation:
Make 15 into an improper fraction (every number is a fraction over 1) so multiply the numerator(15) and the denominator(1) by 10 to get 150/10 then add 150/10 to 7/10 to get 157/10
Option a: 
is the length of b
Explanation:
The angle of B is 
and 
We need to determine the length of b.
First, let us determine the angle of A.
Since, ABC is a triangle, then all the angles add up to 180°
Thus, we have,
Thus, the angle of A is
Now, we shall determine the length of b using the sine law formula.
The formula for sine law is given by,
where , ,
Thus, we have,
Simplifying, we get,
Multiplying both sides by 0.866, we get,
Multiplying the numerator, we have,
Dividing, we get,
Thus, the length of b is 
Hence, Option a is the correct answer.
Answer:
Sara is now 4, will be 8 in 4 years. Ralph is now 12, will be 16 in 4 years.
Assume that the age of Alicia is x and that of Amy is y
Twice the age of Alicia = 27
Eight years older means we will add 8
Therefore, the statement "<span>Amy is eight years older than twice her cousin Alicia’s age" can be represented as follows:
y = 8 + 2x (equation)
The sum of their ages is less than 32 can be represented as:
x + y < 32 which can also be written as y < 32-x (inequality)
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