Answer:
2(x+5)*(x-9)
Step-by-step explanation:
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:
P(yellow or red) =8/15
Step-by-step explanation:
There are 15 marbles, 3 green, 4 blue, and 5 red marbles.
3+4+5 = 12
That means there are 15-12 = 3 3 yellow marbles.
3 green,
4 blue
5 red
3 yellow
To find the probability of yellow or red, we add the number of yellow and red marbles together over the total number of marbles
P(yellow or red) = (yellow +red)/ total
= (3+5)/ 15
=8/15
Answer:
0.9962
Step-by-step explanation:
The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:
μ = 20.66°C, σ = 2°C
For x < Singapore temperature, i.e. x < 26
From the normal distribution table P(x < 26) = P(z < 2.67) = 0.9962
