The GCF of the equation would be 5x^2.
We must find the area of each cake's top.
Formula for area of a circle:
where r is the radius.
<span>small cake:
</span>Plug in 4 for r because the radius is 4. (They give us the diameter, which is 8, and the radius is half that)
A = 16π
<span>big cake:
</span>Repeat the process:
Plug in 12 for r because the radius is 12. (They give us the diameter, which is 24, and the radius is half that)
A = 144π
So our two radii are 144π and 16π.
The large cake's top is not 3 times the area of the small cake's.
This makes sense because you are squaring the radius, which makes the fact that the larger cake's diameter is triple the smaller cake diameter irrelevant.
Hope this helped! ^-^
Answer:
Step-by-step explanation:
The Hypothesis :
H0 : σ = 10
H1 : σ ≠ 10
The Chisquare statistic, χ² ;
χ² = [(n-1) * s²] ÷ σ²
Sample size, n = 44 ; sample Standard deviation, s = 10.7 ; population standard deviation, σ = 10
χ² = [(44 - 1) * 10.7²] ÷ 10²
χ² = [43 * 114.49] ÷ 100
χ² = [4923.07] ÷ 100
χ² = 49.2307
Using the Pvalue from Chisquare calculator :
degree of freedom, df = n - 1 = 44 - 1 = 43
Pvalue = 0.238
For the first one, the GCF=1. You cannot factor this any further.
For the second one, the GCF=2y(2y^2+3y+6).