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dolphi86 [110]
2 years ago
8

Find an integer $x$ such that $\frac{2}{3} < \frac{x}{5} < \frac{6}{7}$.

Mathematics
2 answers:
julsineya [31]2 years ago
6 0

Answer:

5

Step-by-step explanation

Aops Question

alexandr1967 [171]2 years ago
5 0

Answer:

4

Step-by-step explanation:

It's AoPS question

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The owner of a small pet supply store wants to open a second store in another city, but he only wants to do so if more than one-
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Answer:

The answer is "The null hypothesis was rejected".

Step-by-step explanation:

Following are the right-tailed test:

Calculating the null and alternative hypothesis:

H_0 : p = 0.3333\\\\H_a : p > 0.3333\\\\n = 150\\\\x = 64\\\\\hat{p} = \frac{x}{n} = \frac{64}{150} = 0.4267\\\\P_0 = 0.3333\\\\1 - P_0 = 1 - 0.3333 = 0.6667\\\\

z = \frac{\hat{p} - P_0}{[\sqrt{\frac{P_0 \times (1 - P_0 )}{n}}]}

   = \frac{0.4267 - 0.3333}{[\sqrt{\frac{(0.3333 \times 0.6667)}{150}}]}\\\\= 2.426

Calculating the right-tailed test:

P(z > 2.426) = 1 - P(z < 2.426) = 1 - 0.9924 = 0.0076\\\\P-value = 0.0076\\\\\alpha = 0.05\\\\P-value < \alpha

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This example shows that more than a third of the families own pets in this town.

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