<u>Find fraction of snappers and catfish:</u>
1/3 + 2/9 = 3/9 + 2/9 = 5/9
<u>Find fraction of goldfish:</u>
1 - 5/9 = 4/9
4/9 = 40 goldfish
1/9 = 40 ÷ 4 = 10
9/9 = 10 x 9 = 90
Answer: 90 fish in the tank
A: 1/8b = 2 1/4
B: 2 1/4 / 1/8 = 18
Ryan filled 18 bags.
Pi(
) is the ratio of circumference to diameter for any circle.
Perimeter is the distance around a circle.
Circumference of circle 
.
Perimeter of circle 
What is circle ?
A circle is a spherical shape without boundaries or edges.
A circle is a closed, curved object with two dimensions in geometry.
Consider two small arcs AB and CD of two circles of radii x and y units, both of which make an angle of measure θ at the centers P and Q respectively.
For smaller values of θ, the arc length AB is almost equal to the length of the line segment 
. Similarly, arc CD ≅ 
.
Using the SAS rule of triangle similarity, we can say that APB and CQD are similar triangles because their angles are the same and their ratios are AP: PB = CQ: QD = 1: 1. So, it stands to reason that AB: AP = CD: CQ.
Circumference = 
diameter or circumference = 2 radius if this constant equals some value.
So it was proved.
Learn more about Circle click on this:
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Answer:
We accept H₀
Step-by-step explanation:
Normal Distribution
size sample n = 69
sample mean 18.94
standard deviation 8.3
Is a one tailed-test to the left we are traying of find out is we have enough evidence to say that the mean is less than 20 min.
1.-Test hypothesis H₀ ⇒ μ₀ = 20
Alternative hypothesis Hₐ ⇒ μ₀ < 20
2.- Critical value
for α = 0.1 we find from z Table
z(c) = - 1.28
3.-We compute z(s)
z(s) = [ ( μ - μ₀ ) / (σ/√n) ⇒ z(s) = [( 18.94 - 20 )*√69)/8.3]
z(s) = ( -1.06)*8.31/8.3
z(s) = - 1.061
4.- We compare
z(c) and z(s) -1.28 > -1.061
Then z(c) > z(s)
z(s) in inside acceptance region so we accept H₀
