Answer:
D
Step-by-step explanation:
5 + n is the sum of 5 and a number
amd then "less than or equal to -7" represents the no more than -7
The formula for slope is (x2-x1)/(y2-y1).
we label the points accordingly:
(-7,3) as (x1, y1)
and
(4,-2) as (x2, y2).
now just plug it into the formula.
(-2-3)/(4-(-7))
(-5/11)
the slope is -5/11.
hope this helps! (:
Answer:
The minimum surface area of the container is 276.791 square units.
Step-by-step explanation:
Let be 
, 
, 
. The first and second derivatives of such function are, respectively:
First derivative
Second derivative
The critical values of 
are determined by equalizing first derivative to zero and solving it: (First Derivative Test)
![r = \sqrt[3]{\frac{1000}{2\pi} }](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B1000%7D%7B2%5Cpi%7D%20%7D)
(since radius is a positive variable)
To determine if critical value leads to an absolute minimum, this input must be checked in the second derivative expression: ()
The critical value leads to an absolute minimum, since value of the second derivative is positive.
Finally, the minimum surface area of the container is:
The minimum surface area of the container is 276.791 square units.
Answer:
x = 7
Step-by-step explanation:
Answer:
No, This is not a valid Probability Distribution
Step-by-step explanation:
Probability [Neighbour walks with Beagle] = 20%
Probability [Neighbour walks with Golden Retriever] = 70%
Probability [Neighbour walks alone] = 30%
Disjoint Events are the events that have zero probability of occurring together. If all the three above items are disjoint, it means that it can never happen that two of them happen together.
The total (summed) probability of a valid probability distribution, with disjoint sets = 1 . In given case, total probability = 0.2 + 0.7 + 0.3 = 1.2 ; i.e > 1.
So, this probability distribution with stated disjoint events is not a Valid Probability distribution.
