Answer:
(a) The unit of 70.5 is lbm/ft^3 and the unit of 8.27×10^-7 is in^2/lbf
(b) density = 0.1206g/cm^3
(c) rho = 0.1206exp(8.27×10^-7P)
Step-by-step explanation:
(a) The unit of 70.5 is the same as the unit of rho which is lbm/ft^3. The unit of 8.27×10^-7 is the inverse of the unit of P (lbf/in^2) because exp is found of a constant. Therefore, the unit of 8.27×10^-7 is in^2/lbf
(b) P = 9×10^6N/m^2
rho = 70.5exp(8.27×10^-7× 9×10^6) = 70.5exp7.443 = 70.5×1.71 = 120.6kg/m^3
rho = 120.6kg/m^3 × 1000g/1kg × 1m^3/10^6cm^3 = 0.1206g/cm^3
(c) Formula for rho (g/cm^3) as a function of P (N/m^2) is
rho = 0.1206exp(8.27×10^-7P) (the unit of 0.1206 is g/cm^3)
Answer:
3/20
Step-by-step explanation:
First we must get the total amount of possibilities.
We have ten numbers(0 included) and 4 letters. 10 * 4 = 40, so 40 total possibilities.
Now, let's see how many possibilities we can have for this.
Consonants in the 4 letters are B, C, D. This means we have 3 possibilities, but we ACTUALLy have 6 since it could b then 3, or 3 then b for all the letters.
So, we end up having 6/40 which simplifies in to 3/20
Answer:
m∡A = 14
m∡B = 76
Step-by-step explanation:
Two Angles are Complementary when they add up to 90 degrees.
So 3x -7 + 11x - 1 = 90, which we can solve.
14x - 8 = 90
14x = 98
x = 98/14 = 7
with the knowledge of x=7, we can find the angles:
m∡A = 3·7 - 7 = 14
m∡B = 11·7 - 1 = 76
Supplementary angles are angles that add up to 180 degrees, so the next assignment is very comparable, try it!
Answer:
9.01 maybe my math might be wrong
Step-by-step explanation:
Step-by-step explanation:
There are four possible values of X: 0 rats show side effects, 1 rat shows side effects, 2 rats show side effects, or all 3 rats show side effects.
Probability X = 0:
P = (1 − 0.5) (1 − 0.4) (1 − 0.3)
P = 0.21
Probability X = 1:
P = (0.5) (1 − 0.4) (1 − 0.3) + (1 − 0.5) (0.4) (1 − 0.3) + (1 − 0.5) (1 − 0.4) (0.3)
P = 0.44
Probability X = 2:
P = (0.5) (0.4) (1 − 0.3) + (0.5) (1 − 0.4) (0.3) + (1 − 0.5) (0.4) (0.3)
P = 0.29
Probability X = 3:
P = (0.5) (0.4) (0.3)
P = 0.06