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Anna35 [415]
3 years ago
9

3. Repeat this process to find the width and height of a newer 48-inch television whose

Mathematics
1 answer:
AlekseyPX3 years ago
4 0

Answer:

<h3>23.5"</h3>

Step-by-step explanation:

Please see attached a sketch of the television

the size of a television is described by the length of its diagonal in inches.

in this case, the diagonal of the television is 48"

we are told that the aspect ratio is 16:9

hence the dimension of the television as seen from the draft is

length= 16x

height=9x

Applying Pythagoras theorem

(16x)^2+(9x)^2= 48^2

256x^2+81x^2=2304

337x^2=2304

divide both sides by 337 we have

x^2=2304/337

x^2=6.8367

x=√6.8367

x=2.6

What is the height

H=9x

=9(2.6)

=23.5"

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The NWBC found that 42.1% of women-owned businesses provided retirement plans contributions.
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Answer:

Sample size of 586 or higher.

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.

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In which

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The margin of error is:

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95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

What sample size could be 95% confident that the estimated (sample) proportion is within 4 percentage points of the true population proportion?

Sample size of at least n when M = 0.04

42.1% of women-owned businesses provided retirement plans contributions, which means that p = 0.421. So

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

0.04 = 1.96\sqrt{\frac{0.421*0.579}{n}}

0.04\sqrt{n} = 0.9677

\sqrt{n} = \frac{0.9677}{0.04}

\sqrt{n} = 24.19

\sqrt{n}^{2} = (24.19)^(2)

n = 585.2

We need a sample size of 586 or higher.

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