Answer:
4t-20
Step-by-step explanation:
The equation that models the population of bats is 326,000 x (1.014)^X = Y, so the correct answer is A.
<h3><u>Equations</u></h3>
Given that a scientist is studying wildlife, and she estimates the population of bats in her state to be 326,000, and she predicts the population to grow at an average annual rate of 1.4%, to create an equation that models the population of bats, Y , after X years, the following calculation must be made:
- 326,000 x (1+ 1.4/100)^X = Y
- 326,000 x (1 + 0.014)^X = Y
- 326,000 x (1.014)^X = Y
Thus, in 3 years, the equation would operate as follows:
- 326,000 x 1.014^3 = Y
- 326,000 x 1.0425 = Y
- 339,884.58 = Y
Learn more about equations in brainly.com/question/2263981
Answer:
3) 0.30
The probability a randomly selected<em> student plays a sport</em> given they work part time = 0.30
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given 'A' plays a sport
B work part time
Given P(A) = 0.48
P(B) = 0.40
P(A∩B) =0.12
P(A∪B)¹ =0.24
<u><em>Step(ii)</em></u>:-
By using conditional probability
![P(B/A) = \frac{P(BnA}{P(A)}](https://tex.z-dn.net/?f=P%28B%2FA%29%20%3D%20%5Cfrac%7BP%28BnA%7D%7BP%28A%29%7D)
and similarly ![P(A/B) = \frac{P(AnB}{P(B)}](https://tex.z-dn.net/?f=P%28A%2FB%29%20%3D%20%5Cfrac%7BP%28AnB%7D%7BP%28B%29%7D)
The probability a randomly selected<em> student plays a sport</em> given they work part time
Now ![P(A/B) = \frac{P(AnB}{P(B)}](https://tex.z-dn.net/?f=P%28A%2FB%29%20%3D%20%5Cfrac%7BP%28AnB%7D%7BP%28B%29%7D)
![P(A/B) = \frac{0.12}{0.40}= 0.30](https://tex.z-dn.net/?f=P%28A%2FB%29%20%3D%20%5Cfrac%7B0.12%7D%7B0.40%7D%3D%200.30)
<u>Final answer</u>:-
The probability a randomly selected<em> student plays a sport</em> given they work part time = 0.30
Answer:
3/4
Step-by-step explanation:
54/72 simplified is the same as 3/4
Answer:
A and D
Step-by-step explanation:
By finding the roots of all the equations, we see that options A and D are the only ones that require an imaginary number in order to solve