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4vir4ik [10]
3 years ago
10

HELP PLEASE I NEED HELp

Mathematics
1 answer:
lidiya [134]3 years ago
4 0

Answer:

Step-by-step explanation:

GH bisects ∠FGI

∠HGI = ∠HGF

4x - 14 = 3x - 3

4x = 3x - 3 + 14    {Add 14 to both sides}

4x = 3x + 11             {Subtract 3x from both sides}

4x - 3x = 11

x = 11

∠HGI = 4x - 14

         = 4*11 - 14

         = 44 - 14

         = 30°

∠FGI = 30 + 30

        = 60°

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\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

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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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