Answer:
3/8
Step-by-step explanation:
Looking at the bottom row, there are 8 possible outcomes
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
There are 3 that have exactly 2 heads HHT, HTH, THH,
That means the probability is
P( exactly 2 heads) = number outcomes with exactly 2 heads/total outcomes
=3/8
Answer:
a) 1/2 of 12 = 1/4 of 24
b) 1/3 of 90 = 2/3 of 45
Step-by-step explanation:
1/2 of 16 is 6, so 6 would be 1/4 of what? 6 x 4 = 24. 6 is 1/4 of 24. The other one is the same. 1/3 of 90 is 30, and 30 is 2/3 of 45.
Answer:
(-3;-2)
Step-by-step explanation:
Answer:
Graph D > Graph A > Graph C > Graph B
Step-by-step explanation:
The closer the data points are to each other along the line of best fit, the greater the value of their correlation coefficient, and vice versa.
Therefore, the graphs can be arranged in descending other (from the highest to the lowest) based on the values of their correlation coefficients as follows:
Graph D > Graph A > Graph C > Graph B
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)
