Answer:
Do what it says and i'll give you the answer.
Step-by-step explanation:
1. Because the slopes are negative recipricals of each other then these lines are perpendicular. y=x+7 (red line) y=-x+2 (green line) +graph%28+300%2C ...
2.
Area of parallelogram = width x height
Area of parallelogram = 3.1 x 3.5
Area of parallelogram = 10.85 unit²
Answer:
2019.
Step-by-step explanation:
We have been given that for the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled by
where t is the number of years past 2000.
To find the year in which national health care expenditures expected to reach $4.0 trillion (that is, $4,000 billion), we will substitute
in our given formula and solve for t as:




Take natural log of both sides:





So in the 18.5 years after 2000 the expenditure will reach 4 trillion.

Therefore, in year 2019 national health care expenditures are expected to reach $4.0 trillion.
Answer:
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Step-by-step explanation:
Answer:
0.8333 = 83.33% probability that the cycle time exceeds 50 minutes if it is known that the cycle time exceeds 45 minutes
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

Uniformly distributed over the interval 40 to 75 minutes.
This means that 
It is known that the cycle time exceeds 45 minutes
This means that we can use 
What is the probability that the cycle time exceeds 50 minutes?

0.8333 = 83.33% probability that the cycle time exceeds 50 minutes if it is known that the cycle time exceeds 45 minutes