Answer:
The answer should be M = 5/9(R - 21)
Step-by-step explanation:
To find this value, follow the order of operations to isolate M.
R = 9/5M + 21
R - 21 = 9/5M
5/9(R - 21) = M
Given: "<span>B(t)=4*e^0.8t, How many hours will it take for the population to grow to 400?" Set B(t) = 400. Then:
400=4*e^(0.8t), or
100 = e^(0.8t)
Take the natural log of both sides, obtaining
ln 100
ln 100 = 0.8t. Then t = ----------- = 5.76 hours.
0.8</span>
Answer:
a. answer to a can be found in the attached file
b. Pr[survival] = Pr[good&survive]+Pr[medium&survive]+Pr[low&survive]=
0.24+0.06+0.05 = 0.35
c. Assume that the seed has a 0.2 chance of dying before it lands in a habitat. What is its overall probability of survival?
Pr[survival] = Pr[survival|lands] * Pr[lands] = 0.35 * 0.2 = 0.07
Step-by-step explanation:
"A seed randomly blows around a complex habitat. It may land on any of three different soil types: a high-quality soil that gives a 0.8 chance of seed survival, a medium-quality soil that gives a 0.3 chance of survival, and a low-quality soil that gives only a 0.1 chance of survival. These three soil types (high, medium, and low) are present in the habitat in proportions of 30:20:50, respectively. The probability that a seed lands on a particular soil type is proportional to the frequency of that type in the habitat. a. Draw a probability tree to determine the probabilities of survival under all possible circumstances. b. What is the probability of survival of the seed, assuming that it lands"c. Assume that the seed has a 0.2 chance of dying before it lands in a habitat. What is its overall probability of survival?
a. Find the probability tree as attached below
b. Pr[survival] = Pr[good&survive]+Pr[medium&survive]+Pr[low&survive]=
0.24+0.06+0.05 = 0.35
c. Assume that the seed has a 0.2 chance of dying before it lands in a habitat. What is its overall probability of survival?
Pr[survival] = Pr[survival|lands] * Pr[lands] = 0.35 * 0.2 = 0.07
Answer:
45 = 45
or
just 45.
Step-by-step explanation:
a = 6 , b = 2
3(6) + 4(2)^3 - 5 = 3(6) + 4(2)^3 - 5 (Given)
18 + 32 - 5 = 18 + 32 - 5 (Solve parenthesis)
45 = 45 (combine like terms)
45 does equal 45 so there is the solution. There is infinite many solutions.
Answer:
m<6 = 90°
Step-by-step explanation:
If lines are perpendicular, the angles form by their intersection measure 90°.
Answer: m<6 = 90°
