Don't hold me to it, but I think the answer is D.) 4 cups
Answer:
15.87%
Step-by-step explanation:
First thing here is that we calculate the z-score which corresponds to 76
mathematically;
z-score = (x-mean)/SD
mean = 71 and SD = 5
plugging these values, we have;
z = (76-71)/5 = 5/5 = 1
Now, we want to firstly get the probability that we have a student shorter than 76 inches
The probability we want to calculate is P(z<1)
we can get this using the z-score table directly
That would be 0.15866
In percentage that is 15.866% which is 15.87% to the nearest tenth
1/2y^2=1/2x^2+8. The curve's slope at (x,y) is x/y, so dy/dx=x/y. To solve this differential equation, rearrange it to: y*dy=x*dx, and by integrating both sides, we get 1/2y^2=1/2x^2+C (some constant). Plug in (0,4) into this equation, 8=0+C, so C=8. The curve's equation is 1/2y^2=1/2x^2+8.
