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2 years ago

Help please me please

Mathematics

1 answer:

KengaRu [80]2 years ago

8 0

Answer:

x² + 2x - 48

Step-by-step explanation:

Given

(x - 6)(x + 8)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 8) - 6(x + 8) ← distribute both parenthesis

= x² + 8x - 6x - 48 ← collect like terms

= x² + 2x - 48

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Find the slope of a parallel line to each given line y=-1/3x-4

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2 years ago

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The dwarves of the Grey Mountains wish to conduct a survey of their pick-axes in order to construct a 99% confidence interval ab

Dmitry_Shevchenko [17]

Answer:

The minimum sample size needed is 125.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

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$\pi = 0.25$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

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This minimum sample size is n.

n is found when $M = 0.1$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.1 = 2.575\sqrt{\frac{0.25*0.75}{n}}$

$0.1\sqrt{n} = 2.575{0.25*0.75}$

$\sqrt{n} = \frac{2.575{0.25*0.75}}{0.1}$

$(\sqrt{n})^{2} = (\frac{2.575{0.25*0.75}}{0.1})^{2}$

$n = 124.32$

Rounding up

The minimum sample size needed is 125.

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3 years ago

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Step-by-step explanation:

HOPE IT HELPS YOU

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Step-by-step explanation:

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2 years ago

The question that says " a school has 1200 pupils "

Sonja [21]

How many girls like sports? well, what's 2/5 of 1200? well, is just their product, 2/5 * 1200.

how many boys like sports? well, what's 3/5 of 1200? 3/5 * 1200.

$\bf \cfrac{2}{5}\cdot 1200\implies \cfrac{2\cdot 1200}{5}\implies \cfrac{2400}{5}\implies \stackrel{girls}{480}
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\cfrac{3}{5}\cdot 1200\implies \cfrac{3\cdot 1200}{5}\implies \cfrac{3600}{5}\implies \stackrel{boys}{720}
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