The mean ( average ) is given as 1200 hours.
The standard deviation is 200, sample size is 100.
Find the standard error:
√(200^2 / 100) = 20
Now calculate the confidence interval. For 95% the Z number is 1.96
Multiply Z by the standard error:
1.96 x 20 =39.2
Now find the range that the mean should be within:
1200 - 39.2 = 1160.8
1200 + 39.2 = 1239.2
The samples should be between 1160.8 and 1239.2 for a 95% confidence interval.
Since the average was 1050, which is below 1160.8 the bulbs are not in compliance.
Answer:
The new pyramid has a volume that is half the volume of the original pyramid.
Step-by-step explanation:
The volume of a pyramid is given by the following equation:

In which h is the height, l is the length and w is the width.
Modified volume:
height doubled, length and width cut in half. So

= 0.5V[/tex]
That is
The new pyramid has a volume that is half the volume of the original pyramid.
Answer:
<h3>A. ( x - 2 )( x - 3 )(x + 4 )</h3>
<h3>
Step-by-step explanation:</h3>
<h3>x³ - x² - 14x + 24</h3>
<h3>1. Use the rational root theorem</h3>

<h3>2.

</h3><h3 />
= ( x - 2 )( x² + x - 12 )
<h3>3. Factor x² + x - 12 : ( x -3 )( x + 4)</h3>
= ( x - 2 )( x - 3 )(x + 4 )
<h3>Solution : </h3>
<h3>= ( x - 2 )( x - 3 )(x + 4 )</h3>
The greatest common factor of 24 and 30 is 6.
the problem isnt that hard. you need to do the distributive property or FOIL with (m+3) four different times. The answer would be
M^4 + 12M^3 +54M^2 +108M +81