It was stated in the problem that a given volume of a is inversely proportional with the pressure of the system. It means that the as the volume increases, the pressure would decrease and as the volume decreases, the pressure would increase. We would express it as:
V α 1/P
To change it to an equality, we introduce a proportionality constant, k. We do as follows:
V = k/P
So, to determine what is asked, we need to first calculate for the value of k.
V = k/P
At V = 160 m^3 P = 108 cmHg
160 = k / (108)
k = 17280
Thus, at P = 87 cmHg
V = 17280 / 87
V = 198.62 m^3
Answer:
0.148 = 14.8% probability that they will need to order at least one more new transmission
Step-by-step explanation:
For each transmission, there are only two possible outcomes. Either it is defective after a year of use, or it is not. The probability of a transmission being defective is independent of any other transmission. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
20% of all the transmissions it installed in a particular style of truck are defective after a year of use.
This means that 
Sold seven trucks:
This means that 
It has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission?
This is the probability that at least 3 are defective, that is:

In which

So






0.148 = 14.8% probability that they will need to order at least one more new transmission
Answer:
midpoint is y2+y1/2, x2+x1/2 therefore 3+1/2,-6+-4/2,4/2,-10/2 and the answer is (2,-5 )
if interior angle is 170, subtract 170 from 180 to find exterior angle:
180-170 = 10 = exterior angle
the sum of exterior angles is 360 so divide by exterior angle to find sides:
360 /10 = 36 sides
Answer:
50 cubic units
Step-by-step explanation:
The formula for volume of cube = length x width x height
so we do
5 x 5 x 2 =
25 x 2 =
50 cubic units
Hope this helps!
- profparis