3 years ago

Factorise the equation 9x^2 - 4

Mathematics

1 answer:

Wittaler [7]3 years ago

5 0

Answer:

Step-by-step explanation:

a² - b² = (a +b)(a - b)

9x² - 4 = (3x)² - 2²

= (3x + 2 )(3x - 2)

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Answer:

0.15866 is the probability of the average fracture strength of selected 100 pieces of glasses that of exceed 14.3.

Step-by-step explanation:

Given that, the strength of a tempered(x) a glass has average 14.1 and has standard deviation 2.

$\mu_x=14.1$ , $\sigma_x=2$

n=number of selected pieces= 100.

The probability that the average fracture strength of 100 pieces of this glass exceed 14.3 is

$P(\overline X>14.3)=P(\frac{\overline X-\mu_x}{2/\sqrt n}>\frac{14.3-14.1}{2/\sqrt{100}})$

$=P(\overline X>1)$

$=1-P(\overline X\leq 1)$

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