No they arent proportional
I believe the answer is y+1=2x-6 or -2x+1y=7
Answer:
The demand will drop approximately 23 T-shirt per month.
Step-by-step explanation:
Consider the provided formula.
![q = 510-90p^{0.5}](https://tex.z-dn.net/?f=q%20%3D%20510-90p%5E%7B0.5%7D)
You currently sell T-shirts for $15 each and you raise your price by $2 per month,
That means p=$15 and ![\frac{dp}{dt}=2](https://tex.z-dn.net/?f=%5Cfrac%7Bdp%7D%7Bdt%7D%3D2)
We need to find how fast demand will drop.
So differentiate the above function with respect to time.
![\frac{dq}{dt} =0-45p^{0.5-1}\frac{dp}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7Bdq%7D%7Bdt%7D%20%3D0-45p%5E%7B0.5-1%7D%5Cfrac%7Bdp%7D%7Bdt%7D)
![\frac{dq}{dt} =-45p^{-0.5}\frac{dp}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7Bdq%7D%7Bdt%7D%20%3D-45p%5E%7B-0.5%7D%5Cfrac%7Bdp%7D%7Bdt%7D)
Substitute the respective values as shown:
![\frac{dq}{dt} =-45(15)^{-0.5}(2)](https://tex.z-dn.net/?f=%5Cfrac%7Bdq%7D%7Bdt%7D%20%3D-45%2815%29%5E%7B-0.5%7D%282%29)
![\frac{dq}{dt} \approx-23.24](https://tex.z-dn.net/?f=%5Cfrac%7Bdq%7D%7Bdt%7D%20%5Capprox-23.24)
Hence, the demand will drop approximately 23 T-shirt per month.
Answer:
A) attached below
B) 0.61
C) 0.47
Step-by-step explanation:
Given data:
Total number of lizards infected = 38
Of the 15 species B lizards 40% survived
For specie C one more survived than died
Out of the 24 lizards that died 1/3 were species A
<u>A) contingency table </u>
attached below
<u>B) Determine the proportion of these lizards in this study that were either specie A or Specie B </u>
P ( A or B ) = ( 8 + 15 ) / 38 = 0.605 ≈ 0.61
<u>C) determine the probability that specie C lizard did not study </u>
P ( not surviving | C ) = 7 / 15 = 0.466 ≈ 0.47
Answer:
126,300.
Step-by-step explanation: