D. One holding pen uses 500 feet of fence
1 answer:
You might be interested in
Answer:
If the load of magnitude 50 is hung from the cable, determine the probability of failure of the cable?
There is a 10.56% probability of failure of the cable.
If the load can take values 30, 50, and 70 with probabilities 0.2, 0.35, and 0.45 respectively, determine the probability of failure of the cable?
There is a 15.87% probability of failure of the cable.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
The breaking strength of a cable is assumed to be lognormally distributed with a mean of 75 and standard deviation of 20. This means that .
If the load of magnitude 50 is hung from the cable, determine the probability of failure of the cable?
This is the pvalue of Z when .
has a pvalue of 0.1056.
There is a 10.56% probability of failure of the cable.
If the load can take values 30, 50, and 70 with probabilities 0.2, 0.35, and 0.45 respectively, determine the probability of failure of the cable?
Now we have that
has a pvalue of 0.1587.
There is a 15.87% probability of failure of the cable.
Answer:
Foil the expression and solve the derivative with respect to b at f'(x)=0
Step-by-step explanation:
The graphs and their equations are:
- Line 1: 6x - 2y = -10
- Line 2: 9x - 9y = -45
- Line 3: 3x - 12y = -60
The three lines are linear equations, because they are all straight lines.
Also, the lines have the same y-intercept (this is so, because they cross the y-axis at the same point), but they have the same slope
Next, we rewrite the equations in slope-intercept form.
So, we have:
Divide through by -12
Make y the subject
Divide through by 2
Make y the subject
Divide through by -9
Make y the subject
Line 1 has the highest slope, while line 3 has the least slope.
So, we have the following equations:
- Line 1: 6x - 2y = -10
- Line 2: 9x - 9y = -45
- Line 3: 3x - 12y = -60
Read more about linear equations at: