Answer:
The mean for Z is 40.
The standard deviation for Z is 25.
Step-by-step explanation:
We are given the following in the question:
X: daily work hours.
The average daily work hours are 8 hours, with a standard deviation of 5.
Z denote weekly work hours.
We have to find the mean and standard deviation for Z.
The mean for Z is 40.
We use the property:
Thus, the standard deviation for Z is 25.
If two lines are perpendicular, then they will have slopes that are <u>negative reciprocals</u> to each other. An example of negative reciprocals are 2 and -1/2
<h2>6.</h2>Now with line 2, I have to convert it to slope intercept form. Firstly, subtract 2x on both sides of the equation:
Next, divide both sides by -5 and your slope-intercept form is
Now since 2/5 is <em>not</em> the negative reciprocal of -2/5, <u>these lines are not perpendicular.</u>
<h2>7.</h2>It's pretty much the same process; convert to slope-intercept and determine if negative reciprocal. This time I'll brush through them:
Now since 2 <em>is</em> the negative reciprocal of -1/2, <u>these lines are perpendicular.</u>