-3(3y-2x)+ 2(5x-4y)
-9y+6x+10x-8y
-17y+16x
So the answer is D.
Answer: It is not enough evidence to support the researcher's claim.
Step-by-step explanation:
Since we have given that
n = 500

So, the hypothesis are as follows:

So, the z value would be

At α = 0.05
z= -1.64
So, 1.64<-1.33
So, we accept the null hypothesis.
Hence, it is not enough evidence to support the researcher's claim.
U can easily solve it by substitution that makes the second choice answer
Answer:
1080
Step-by-step explanation:
5(3!)^3
5(6)^3
5(216)
1080
Circumference of a circle - derivation
This page describes how to derive the formula for the circumference of a circle.
Recall that the definition of pi (π) is the circumference c of any circle divided by its diameter d. Put as an equation, pi is defined as
π
=
c
d
Rearranging this to solve for c we get
c
=
π
d
The diameter of a circle is twice its radius, so substituting 2r for d
c
=
2
π
r
If you know the area
Recall that the area of a circle is given by
area
=
π
r
2
Solving this for r
r
2
=
a
π
So
r
=
√
a
π
The circumference c of a circle is
c
=
2
π
r