Leslie is a biologist. She is going to randomly select one animal from her lab to study. There are 555 salamanders, 333 crayfish, and 121212 minnows in her lab. What is \text{P(salamander})P(salamander)st art text, P, left parenthesis, s, a, l, a, m, a, n, d, e, r, end text, right parenthesis?

Step-by-step explanation:

Given

amount of  salamanders, = 5

amount of crayfish = 3

amount of minnows = 12

Total fish = Total outcome = 5+3+12

Total outcome = 20

Since we are looking for the probability of selecting  salamanders, our expected outcome will be 5.

Probability = expected outcome/total outcome

Pr( salamanders,) = 5/20

Pr( salamanders) = 1/4

Hence the probability of selecting  salamanders, is 1/4

a. the residual plot for model 1 has a random pattern and is a good fit for the data.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3