Answer:
The standard deviation is $26.67.
Step-by-step explanation:
Problems of normally distributed samples are 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:

Assuming a normal distribution, if 70 percent of the filings cost less than $171.00, what is the standard deviation?
This means that when X = 171, Z has a pvalue of 0.7. So when Z = 0.525.





The standard deviation is $26.67.
When a line changes position from one point to another, the movement is referred to as transition.
<em>Bobby does not have enough information to make a valid conclusion.</em>
The movements of the lines are given as:
<em>Line 1: 3 units up and 8 units right</em>
<em>Line 2: 8 units down and 3 units right</em>
The given information only describes the movement of both lines, but does not give details about the initial relationship between the lines.
<em>Hence, no valid conclusion can be made with the given information.</em>
Read more about lines at:
brainly.com/question/5830373
So, 672 miles divided by 56 miles per hour = 12 hours
Most quadratic functions(which is what you have there, to a degree of 2) are solved using factoring and the zero product law. If you can not factor then you have to use the quadratic formula or graph it. However this one can be factored.
It's pretty simple to just factor it by inspection but I use the chart method, if you know decomposition that works as well.
Factoring gives us,

Then you set each factor to 0 and solve for x,



And the second one,


The solutions to this equation are
x = -1/2, 3