Factor tree for 108 please help

Mathematics

2 answers:

Marta_Voda [28]3 years ago

8 0

108<9•12
^. ^
3•3 2•6
^. ^
1•2 3•2

Degger [83]3 years ago

8 0

The factor tree of 108 is /. \ 2. 54 /\ 2 27 /\ 3 9 /\ 3 3 Answer: 2x2x3x3x3

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adell [148]

Answer:

There is significant difference between the proportions of group A and group B.

Step-by-step explanation:

In this question we need to perform an hypothesis test on the difference of proportions (Δπ) and determine if there is any significant difference between the two proportions.

The null and alternative hypothesis are:

$H_0: \Delta \pi=0\\\\H_1: \Delta \pi\neq0$

The proportion of group A is $p_1=63/100=0.630$ .

The proportion of group B is $p_2=59/125=0.472$ .

The weighted average of p (to calculate s) is:

$p=\frac{n_1*p_1+n_2*p_2}{n_1+n_2}=\frac{100*0.630+125*0.472}{100+125}=\frac{63+59}{100+125}=\frac{122}{225}=0.542$

The estimated standard deviation is:

$s=\sqrt{\frac{p(1-p)}{n_1}+\frac{p(1-p)}{n_2} } =\sqrt{\frac{0.542(1-0.542)}{100}+\frac{0.542(1-0.542)}{125}} =\sqrt{\frac{0.248}{100} +\frac{0.248}{125} } \\\\s=\sqrt{0.00447} =0.067$