Answer:
The volume in such a package is 27648 in³
Step-by-step explanation:
Consider the provided information.
Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 144 in.
Let the dimension are x by x by y.
Where x is the variable for the square base package and y is the variable for length.
Thus l=x, b=x and h=y
Then the volume of the box is: 
(∵V=lbh)
The maximum combined length and girth is 144.
Therefore, 
Substitute the value of y in volume of the box.
Substitute V'(x)=0.
Now apply second derivative test.
(Min)
(Max)
Hence, the maximum volume is at x=24
If x=24 then 
Substituting value of x = 24 and y = 48 gives 27648.
Hence, the volume in such a package is 27648 in³
Answer:
0.0975 or 9.75%
Step-by-step explanation:
Assuming that no engines fail simultaneously, the probability that exactly one engine fails is the probability that the first engine fails (15%) multiplied by the probability that the second engine does not fail (100% - 35%):
The probability of exactly one engine failure is 0.0975 or 9.75%
Answer:96
Step-by-step explanation: 4x8 = 32 so there will be 32 fluid ounces gone. subtract that from 128 to get 96.
By the angle bisector theorem, one of the lengths of the third side of the triangle is given by:
1.5 / 1 = x / 2.6
x = 1.5 x 2.6 = 3.9
One of the possible length of the third side is 3.9 cm
The other possible length is given by 1 / 1.5 = x / 2.6
1.5x = 2.6
x = 2.6/1.5 = 1.7
The other possible length of the third side is 1.7 cm.
The average can be easily affected by outliers because an outlier can bring the average much higher or lower depending on the value. For example, if this was the data set
0,50,51,52
the average would be 38.25
But without the 0, the average would be 51.<span />
