Answer:
n = 1 2/5
Step-by-step explanation:
-21 + 70n = 77
Add 21 to each side
-21+21 + 70n = 77 +21
70n = 98
Divide each side by 70
70n/70 = 98/70
n =98/70
n = 70/70 +28/70
n = 1 + 2/5
n = 1 2/5
Answer:
P ( Z < 72 ) = 0.8577 or P ( Z < 72 ) = 85.77 %
Step-by-step explanation:
We know:
-A normal distribution
-Mean μ = 69.0 in
-Standard deviation σ = 2.8 in
- Population n = 350
And doors height 72 in
If passengers will pass through the door without bending that means he must be under 72 in tall, therefore we are looking for the probability of men under 72 in, to find such probability we compute the value of Z according to
Z = ( X - μ ) / σ ⇒ Z = ( 72 - 69 ) / 2.8
Z = 1.07
Now with this value we look the Z tables, to find a value of: 0.8577
So the probability of select a men and that he can fit through the door is
P ( Z < 72 ) = 0.8577 or P ( Z < 72 ) = 85.77 %
It would be B) 3/15
You distribute 5 to both 3x and 4, giving you 15x+20=23
Then, you subtract 20 from both sides of the equation, giving you 15x = 3
And then you divide both sides by 15 so you can isolate x
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
47 minutes because 21 times 3 is 63 and 63 minus 16 is 47. Also 47 plus 21 is equal to 68.