Answer:
cm per minute.
Step-by-step explanation:
We have been given that a box has a width of 10 cm and a length of 17 cm. The volume of the box is decreasing at a rate of 527 cubic cm per minute, with the width and length being held constant.
We know that volume of a cuboid is length times width times height.
Upon substituting our given width and length, we will get:
Now, we will find derivative of volume with respect to time as:
Since the volume of the box is decreasing at a rate of 527 cubic cm per minute, so we will substitute 
as:
Therefore, the rate of change in height is cm per minute.
Answer:
The probability that the sample proportion will be at least 3 percent more than the population proportion is 0.6157
Step-by-step explanation:
We need sample proportion between 0.75 - 0.03 = 0.72 and 0.75 +0.03 = 0.78. Here we have p = 0.75 and n= 158.
So z-score for sample proportion q = 0.72
z = 
= 
= - 
= - 0.872
So z-score for sample proportion q = 0.78
z= = 
= = 0.872
Therefore the probability that the sample proportion will be within 3 percent of the population proportion is
P( 0.72 < q < 0.78) = P ( -0.872 < z < 0.872)
= P( z < 0.872) - P( z < -0.872)
= 0.80785 - 0.19215
= 0.6157
$48.865 per headphone
<u>unit rate</u> : total cost/total items
unit rate:
390.92/8
48.865
Each headphone costs $48.865
1) The correct answer would be -48/-6.
-48 divided by -6 equals to 8.
48 divided by -6 equals to -8.
Because a positive (8) is always bigger than a negative (-8). The second option is correct.
_____________
2) The correct answer is -6.
5 * 2 = 10.
And 4 - 10 = (-6)
Cant think of something more logical than this
