TRUE OF FALSE
2 answers:
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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:
The regular polygon is a nonagon
Step-by-step explanation:
<u><em>The correct question is</em></u>
What is the name of the regular polygon that each interior angle measures 140ﾟ?
we know that
The formula to find the sum of the interior angles in a regular polygon is equal to
where
n is the number of sides of the regular polygon
a is the measure of each interior angle of the regular polygon
we have
substitute in the formula and solve for n
so
The regular polygon has 9 sides
therefore
The regular polygon is a nonagon
Hello!
Let's start by finding the slope of the line. You can calculate the slope by dividing the change in y-values by the change in x-values using the following formula:
The plotted coordinates are (0, 5) and (4, -5); let's plug those into the formula:
Simplify:
The slope is.
Now, the y-intercept is where the line intersects the y-axis, or when x equals 0. x equals 0 when y equals 5, so the y-intercept is 5.
I hope this helps!
Let's start by finding the slope of the line. You can calculate the slope by dividing the change in y-values by the change in x-values using the following formula:
The plotted coordinates are (0, 5) and (4, -5); let's plug those into the formula:
Simplify:
The slope is
Now, the y-intercept is where the line intersects the y-axis, or when x equals 0. x equals 0 when y equals 5, so the y-intercept is 5.
I hope this helps!