He would spend $65.80 on 20 gallons of gas.
Well, i think this would be a binomial setting
Binomial setting refers to the distribution in parameters n and p.
n is the number of observation, in this case, it is 10 observation
p is the probability of a success, in this case ,it is 70% chance of success
Hope this helps
Answer:
145°
Step-by-step explanation:
If we start on the x-axis and rotate a ray (arrow) counterclockwise to the y-axis, that would be an angle of 90°.
Adding this 90° to the 55° angle shown would result in a total angle of 145°
Answer:
The correct option is;
Between 40 and 50 days
Step-by-step explanation:
The number of seeds that are produced by a plant maturing at age t, S(t), is given as follows;
S(t) = -0.3·t² + 30·t + 0.2
The proportion of plants maturing at age (t) in the plants to be engineered by the geneticist P(t) = 90000/(t + 100)
The number of seeds produced by the plants = S(t) × P(t) = (-0.3·t² + 30·t + 0.2)×(90000/(t + 100))
To find the maximum number of seeds, we differentiate using an online tool, and equate to zero to get;
d((-0.3·t² + 30·t + 0.2)×(90000/(t + 100)))/dt = (-27000·t² - 5400000·t + 269982000)/(t + 100)² = 0
(-27000·t² - 5400000·t + 269982000)/(t + 100)² = 27000(t - 41.419)(t + 241.419)/(t + 100)² = 0
t = 41.419 or t = -241.419
Therefore, in order to maximize the production of seed of the crops of the farmer, the geneticist should select between 40 and 50 days.
