Answer:
- f = -2/5a +14
- 12.4 ≈ 12 fish for 4 algae blooms
Step-by-step explanation:
The 2-point form of the equation for a line is useful when you are given two points to work with:
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
The independent variable (x) is apparently "algae blooms" and is to be represented by "a". The dependent variable (y) is "number of fish" and is to be represented by "f". So, we have ...
f = (4 -10)/(25 -10)(a -10) +10
f = -6/15(a -10) +10
f = -2/5a +14 . . . an equation for the scenario
Four a=4, the fish population is predicted to be ...
f = -2/5(4) +14 = 12.4
There will be about 12 fish when there are 4 algae blooms.
Answer:
4/3
Step-by-step explanation:
If the ratio between the volumes of the first and the second cube is 64, the ratio between the sides is the cubic root of the ratio between the volumes, so:

![s1 / s2 = \sqrt[3]{64} = 4](https://tex.z-dn.net/?f=s1%20%2F%20s2%20%3D%20%5Csqrt%5B3%5D%7B64%7D%20%20%3D%204)
Doing the same for the second and third cubes, we have:

![s2/ s3 = \sqrt[3]{1/27} = 1/3](https://tex.z-dn.net/?f=s2%2F%20s3%20%3D%20%5Csqrt%5B3%5D%7B1%2F27%7D%20%20%3D%201%2F3)
So the ratio of the first cube side and the third cube side is:

Since the square root of 13 is something really weird (3.6055 something) and does not have a clear end or repeats, it is irrational. Solve for the number before assuming anything
Answer: 96
Step-by-step explanation: take 12 (1 dozen) and times it by 8
12x8=96
Hi, I was able to find the full context for this one from another source:
<span>"Juanita has a storage closet at her shop with extra bottles of lotion and shower gel. Some are scented and some are unscented. If she reaches into the closet and grabs a bottle without looking, she has a 42% chance of grabbing a bottle of shower gel."
For the "shower gel" and "scented" to be independent given the situation above, we need to show that P(A | B) = P(A). You can get this equation from the definition of "independence" where P(A </span>∩ B) = P(A)*P(B) and the formula for conditional probability P(A | B).
We only have the given P(shower gel) = 42% therefore the event "shower gel" must be the variable A.
ANSWER: To show independence of the two events, P(shower gel | scented) = 42% must be true.