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3 years ago

8

Factor the following expression completely 6xy-9x-4y+6

2 answers:

inessss [21]3 years ago

4 0

After you factored it out, your answer will be (2y-3) (3x-2). :)

yuradex [85]3 years ago

3 0

In order to do this u have to be able to know how to solve by grouping so: (I'm gonna do this the way our teacher showed us so idk if u learned it in a different way)

6xy-9x-4y+6
The first step is to draw a line in the middle to make it easier
6xy-9x │-4y + 6
And then find the like terms to each side
3x(2y-3)│-2(2y-3)
And then we put the inside the brackets as one and the outsides as one bracket (ik that made absolute no sense lol) like this:
(2y-3) (3x-2)
And that's the final answer
Hope this helps!

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4 years ago

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adell [148]

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Case: Hypothesis testing

Step 1: Null and Alternative hypotheses

$\begin{gathered} H_0:\mu=P127.50 \\ H_1:\mu\leq P127.50 \end{gathered}$

Step 2: T-test analysis

$\begin{gathered} t=\frac{\hat{x}-\mu}{\frac{s}{\sqrt{n}}} \\ t=\frac{135-127.5}{\frac{75.25}{\sqrt{450}}} \\ t=2.144 \end{gathered}$

Step 3: t-test with the significance level

$\begin{gathered} t_{\alpha}=? \\ \alpha=0.05 \\ From\text{ }tables \\ t_{0.05}=1.654 \end{gathered}$

Step 4: Comparing

$t>t_{\alpha}$

So tail to reject the null hypothesis. There is enough evidence at a 0.05 level of significance to claim that the mean spent is greater than P127.50.

Final answer:

Yes, there is evidence sufficient to conclude that the mean amount spent is greater than P127.50 per month at a 0.05 level of significance.

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