Answer:
12.5r + 200 = 12.5*2r
Step-by-step explanation:
<h3>Given</h3>
Rate of Hoppertunity = r
Rate of Dortmund = 2r as it is twice as fast
<h3>Solution</h3>
Let the distance Hoppertunity runs be d, then the distance Dortmund runs is d + 200 m
Since it took 12.5 seconds Dortmund to catch Hoppertunity, it can be expressed as:
- d = 12.5r for Hoppertunity
- d + 200 =12.5*2r for Dortmund
<u>By replacing d in the second equation, we get:</u>
<u>Soving</u>:
- 12.5r = 200
- r = 200/12.5
- r = 16 m/sec
Hoppertunity's rate is 16 m/sec
Dortmund's rate is 32 m/sec
Answer:
The required probability is 0.6517
Step-by-step explanation:
Consider the provided information.
North Catalina State University's students can be approximated by a normal model with mean 130 and standard deviation 8 points.
μ₁ = 130 and σ₁ = 8
Chapel Mountain University's students can be approximated by a normal model with mean 120 and standard deviation 10 points.
μ₂ = 120 and σ₂ = 10
As both schools have IQ scores which is normally distributed, distribution of this difference will also be normal with a mean of μ₁-μ₂ and standard deviation will be 
Therefore,
μ = 130-120=10
Now determine the probability of North Catalina State University student's IQ is at least 5 points higher than the Chapel Mountain University student's IQ:
Now by using the z table we find the z- score of -0.39 is 0.6517.
Hence, the required probability is 0.6517
Answer:
Hi Grif05!
Your answer is 7.1 million.
To be exact , 7182000
Step-by-step explanation:
The distance between 2009 and 2012 is 3 years so we multiply.
11x3=33.
Now we must find 33% of 5.4 million.
33 % of 5.4 million is 1782000.
33% of 5400000 = 1782000
We then add 33% of 5.4 million to itself.
We get an answer of 7182000.
Hope this helps! Tell me if I'm wrong please :)
(x-8)²= x²-16x+64
x²-16x+8=0
Therefore 56 must be added.
Good luck
Answer:
i dont know i am so sorry
Step-by-step explanation:
good luck with it though
