Answer:
P = 10/171
P = 0.058
The probability that both fish selected are Catfish is 0.0058
Step-by-step explanation:
Given:
The tank contains;
Algae eaters = 8
Catfish = 5
Tilapia fish = 6
Total number of fish = 8+5+6= 19
To determine the probability that both fish selected are Catfish P;
P = 5/19 × 4/18
( The number of the total number of fishes, and Catfish reduce by one after each selection because it is selected without replacement)
P = 10/171
P = 0.058
Answer:
n = -6
Step-by-step explanation:
<h2>
Answer:</h2>
LP = 8 because LR + PR = LP according to the Segment Addition Postulate, and 8 + 4 = 12 using substitution
<h2>
Step-by-step explanation:</h2>
From this problem, we know that:
LR = 12
PR = 4
So here we have a Line segment. Recall that a line segment has two endpoints, places where they end or stop and they are named after their endpoints, so the line segment here is LR whose measure is 12. Then, according to Segment Addition Postulate it is true that:
LP + PR = LR
By substituting LR = 12 and PR = 4, we have:
LP + 4 = 12
Subtracting 4 from both sides:
LP + 4 - 4 = 12 - 4
LP + 0 = 8
Finally:
LP = 8
Answer:
The euation of the linear function is:
Step-by-step explanation:
As the function has the values
Thus, the two points are:
Finding the slope between (5, -1) and (0, -1)




We know that the slope-intercept form of the line equation is
y=mx+b
where m is the slope and b is the y-intercept
We also know that the y-intercept can be computed by setting x=0 and finding the corresponding value of y.
so at x = 0, y = -1
Thus, the y-intercept 'b' = -1
Now, substituting m = 0 and b = -1 in the slope-intercept form of the line equation
y = mx+b
y = 0x + -1
y = -1
Therefore, the euation of the linear function is:
1.a sphere with a radius of three units
By definition, the volume of a sphere is:

Substituting values we have:

Rewriting we have:
2.a cone with a diameter of twelve units and a height of three units
By definition, the volume of a cone is given by:

Substituting values we have:

Rewriting we have: