Answer:
The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 38 minutes, standard deviation of 4.5 minutes.
Determine the interval that represents the middle 68% of her commute times.
Within 1 standard deviation of the mean. So
38 - 4.5 = 33.5 minutes
38 + 4.5 = 42.5 minutes.
The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.
Answer:
70
Step-by-step explanation:
Answer:
<h2>x = 5</h2><h2>OB = 36</h2><h2>BE = 54</h2>
Step-by-step explanation:
We know that the medians of the triangle divides in a ratio of 2:1. Therefore we have the equation:
<em>cross multiply</em>
<em>use distributive property a(b + c) = ab + ac</em>

<em>add 9 to both sides</em>
<em>subtract 4x from both sides</em>
<em>divide both sides by 5</em>



Answer:

Step-by-step explanation:
we would like to figure out the derivative of the following:

to do so, let,

By simplifying we acquire:

use law of exponent which yields:

take derivative in both sides:

use sum derivation rule which yields:

By constant derivation we acquire:

use exponent rule of derivation which yields:

simplify exponent:

two negatives make positive so,

<h3>further simplification if needed:</h3>
by law of exponent we acquire:

simplify addition:

and we are done!