If P(A)=0.2 and P(B)=.1, what is the P (A U B) if A and B are independent?

Which of the following is true about grasslands? A) They have numerous trees. B) They have a large number of tree-dwelling birds

svetlana [45]

Answer:

C. They experience a wide temperature range over two seasons.

Explanation:

Took the test on edge 2020

7 0

3 years ago

Read 2 more answers

2. Find the solution of each differential equation. (a) y/2y-8y = 0 (b) 25y/- 20y + 4y = 0 (c) y + 2y + 2y = 0 2. Find the solut

jek_recluse [69]

Each of these ODEs is linear and homogeneous with constant coefficients, so we only need to find the roots to their respective characteristic equations.

(a) The characteristic equation for

$y'' - 2y' - 8y = 0$

is

$r^2 - 2r - 8 = (r - 4) (r + 2) = 0$

which arises from the ansatz $y = e^{rx}$ .

The characteristic roots are $r=4$ and $r=-2$ . Then the general solution is

$\boxed{y = C_1 e^{4x} + C_2 e^{-2x}}$

where $C_1,C_2$ are arbitrary constants.

(b) The characteristic equation here is

$25r^2 - 20r + 4 = (5r - 2)^2 = 0$

with a root at $r=\frac25$ of multiplicity 2. Then the general solution is

$\boxed{y = C_1 e^{2/5\,x} + C_2 x e^{2/5\,x}}$

(c) The characteristic equation is

$r^2 + 2r + 2 = (r + 1)^2 + 1 = 0$

with roots at $r = -1 \pm i$ , where $i=\sqrt{-1}$ . Then the general solution is

$y = C_1 e^{(-1+i)x} + C_2 e^{(-1-i)x}$

Recall Euler's identity,

$e^{ix} = \cos(x) + i \sin(x)$

Then we can rewrite the solution as

$y = C_1 e^{-x} (\cos(x) + i \sin(x)) + C_2 e^{-x} (\cos(x) - i \sin(x))$

or even more simply as

$\boxed{y = C_1 e^{-x} \cos(x) + C_2 e^{-x} \sin(x)}$

3 0

2 years ago

Sarabeth used a box-and-whisker plot to summarize her race times in minutes. She didn't include her latest race time of 28 minut

fenix001 [56]

Depending on if this makes an outlier, or if it is not. If it is then it will change the mean a good bit positive or negative depending on if it is it being a high or low outlier. The median will not be as effected by this new number because it will only move one point in either direction.

3 0

3 years ago

Helppppp me pleaseeeee.

SOVA2 [1]

Identify problem
Gather info
Identify options
Evaluate options
Consider consequences
Choose the best option
Make a plan
Carry out plan
Evaluate how plan worked

I’m not really sure where Consider consequences goes but I’m pretty sure the rest are right. :)

6 0

3 years ago

When Ralphie, Randy, Flick, and Schwartz hear Scut Farkas’ laugh, they experience fear. Complete the diagram below for this exam

Alinara [238K]

The situation described is an example of classical conditioning because a stimulus (Scut Farkas laughs) causes a specific reaction (fear in the other characters)

<h3>What is classical conditioning?</h3>

Classical conditioning is a scientific theory that focused on the study of a type of associative learning developed by Ivan Pávlov.

Classical conditioning posits that an external stimulus can generate a specific response in an individual or group depending on whether it has associated both factors, for example:

A dog makes a response (in this case, salivation) to a stimulus (the bell indicating food). The next time he heard the bell, regardless of whether it was attached to the food, he would begin to salivate.

Based on the above, it can be inferred that the situation described is an example of classical conditioning because the characters associate Scut Farkas' laughter with a feeling of fear.

Learn more about classical conditioning in: brainly.com/question/17583598

5 0

2 years ago