Answer:
b=√119
Step-by-step explanation:
a2+b2=c2
(5×5)+(b2) =(12×12)
25+b2=144
b2=144-25
b2= 119
b=√119
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:
360 feet
Step-by-step explanation:
We need to multiply the number of hours, 6, with 60 feet: 6*60 = 360 feet The submarines depth after 6 hours will be 360 feet.
Let,
the numbers be "x" and "y"
According to the question,
x = 4y ......................................................equation (1)

...................................equation (2)
Taking equation (2)

Substituting the value of "x" from equation (1), we get,





Cross multiplying, we get,


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Now,
Taking equation (1)
x = 4y
Substituting the value of "y", we get

So, the numbers are
and
Answer:
The correct answer is 20%
Hope this helped! :)
^-^