Answer:
2
Step-by-step explanation:
To be divisible by 6, an even number must also be divisible by 3. Two of every three even numbers are <em>not</em> divisible by 3, so are not divisible by 6.
Answer:
The mathematical expectation of a student who purchases 10 tickets is -$39.65.
Step-by-step explanation:
A student that purchases 10 tickets out of 2900 has a probability of winning the cruise that can be calculated as:

Each ticket cost $5, so he has spent $50 for the 10 tickets.
Then, the expected value of this operation is equal to the expected value of the earnings (probability of winning the prize multiplied by the value of the prize), minus the costs:

The mathematical expectation of a student who purchases 10 tickets is -$39.65.
Answer:
Parallel
Step-by-step explanation:
In the slope-intercept form (y=mx +c), the coefficient of x tells us the slope of the line.
2x +8y= 56
Let's rewrite this equation into the slope-intercept form.
8y= -2x +56
Dividing both sides by 8:


Slope= -¼
y= -¼x -5
Slope= -¼
Since both lines have the same slope, they are parallel to each other.
Complete question :
A construction crew built 1/2 miles of road in 1/8 days. What is the unit rate in miles per day? Write your answer in simplest form.
Answer:
3 miles per day
Step-by-step explanation:
Given that:
1/2 miles of road takes 1/8 days
Unit Rate in miles per day :
Miles of road built / number of days taken
1/2 miles ÷ 1/8 days
1/2 * 8/1
= (1*8) / (2*1)
= 8/2
= 4
Unit Rate = 4 miles per day
Answer: a= (4x-1)(6x+9)
Step-by-step explanation:
area= length x width