Answer:
The probability is 
Step-by-step explanation:
From the question we are told that
The mean values is 
The standard deviation is 
Generally the total mean is mathematically represented as
=> 
=> 
Generally the total variance is mathematically represented as
=> 
=> 
Generally the total standard deviation is mathematically represented as
=> 
=> 
Generally the probability that it takes at most 70 min of machining time to produce a randomly selected component is mathematically represented as
Here 
From the z table
The area under the normal curve to the right corresponding to 1.8587 is
So
=>
Answer:
3
Step-by-step explanation:
Area = 1/4 * √(5(5+2√5)) * a^2
Area ≈387.11
because each bag only covers 150 we need 3 bags
Answer:
C
Step-by-step explanation:
This has to be C because you need to divide pi from r squared bc they r multiplied. Then you get a/pi = r squared. You need to find the square root of a/pi. So r equals square root a/pi.
Answer:
24
Step-by-step explanation:
2^3 * 3 = 8 * 3 = 24
Hope this helped!
Answer:
y = - x + 9
Step-by-step explanation:
Because the line is perpendicular, the slope with be the opposite reciprocal. So, if the slope is 1 as in the equation y = x - 1, the opposite reciprocal is -1.
So the equation that is perpendicular will look like this so far:
y = -x + b (b represents our y-intercept that we have not found yet)
Now we will find the y-intercept. We can find it by substituting the coordinates (5,4) as x and y into the equation right above ^^.
So, 4 = -(5) +b or 4 = -5 + b
Add 5 to both sides to isolate b on the right side. b = 9
Therefore, the y-intercept is 9.
Now we have found everything we need for the equation, which is
y = - x + 9
