Answer:
A.The data should be treated as paired samples. Each pair consists of an hour in which the productivity of the two workers is compared.
Explanation:
If the mean productivity of two workers is the same.
For a random selection of 30 hours in the past month, the manager compares the number of items produced by each worker in that hour.
There are two samples and the productivity of the two men is paired for each hour.
The events are independent. By definition, it means that knowledge about one event does not help you predict the second, and this is the case: even if you knew that you rolled an even number on the first cube, would you be more or less confident about rolling a six on the second? No.
An example in which two events about rolling cubes are dependent could be something like:
Event A: You roll the first cube
Event B: The second cube returns a higher number than the first one.
In this case, knowledge on event A does change you view on event B (and vice versa): if you know that you rolled a 6 on the first cube you don't want to bet on event B, while if you know that you rolled a 1 on the first cube, you're certain that event B will happen.
Conversely, if you know that event B has happened, you are more likely to think that the first cube rolled a small number, and vice versa.
Answer:45+60=15x+15x
Step 1: Simplify both sides of the equation.
45+60=15x+15x
(45+60)=(15x+15x)(Combine Like Terms)
105=30x
105=30x
Step 2: Flip the equation.
30x=105
Step 3: Divide both sides by 30.
30x/30= 105/30
x= 7/2
Answer:
x= 7/2
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Answer:
Calvin will paint the entire area in 92 minutes or 1 hour 32 minutes.
Step-by-step explanation:
First of all we know that the total surface are that Calvin is painting is 115 square feet.
The rate at which Calvin is painting refers to the surface area he covers every 2 minutes. This is 2.5 square feet every 2 minutes.
we can set up a relation to solve this problem
If Calvin paints
in 2 minutes
He will paint
in
minutes
By cross multiplying, we have 
Hence Calvin will paint the entire area in 92 minutes or 1 hour 32 minutes.