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3 years ago

Find the missing side of the triangle.

Mathematics

1 answer:

tia_tia [17]3 years ago

7 0

Answer:

Approximately 8.1 km

Step-by-step explanation:

Pythagoream Theorem:

${7}^{2} + {4}^{2} = {x}^{2} \\ 49 + 16 = {x}^{2} \\ 65 = {x}^{2} \\ \sqrt{65} = x \\ 8.1 = x$

Hope this helps!!

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How do you solve this

fiasKO [112]

(((x + y) / 3) + (1 / x)) / (5 + (15 / x))
The best way is to make it one fraction.
Multiply by ((3x/3x) / (3x/3x)) to remove the other fractions.
((x(x + y)) + 3(1)) / (5(3x) + 3(15))
(x^2 + xy + 3) / (15x + 45)
Then factor to simplify
(x^2 + xy + 3) / (3(x + 15))

4 0

3 years ago

A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=918 and x=521 who said "

s2008m [1.1K]

Answer:

B) The margin of error is 0.0269.

C) The confidence interval is (0.5406, 0.5944).

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 $1 - \frac{\alpha}{2}$ .

The margin of error is:

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

In the poll, n=918 and x=521 who said "yes."

This means that $n = 918, \pi = \frac{521}{918} = 0.5675$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

B) Identify the value of the margin of error E.

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

$M = 1.645\sqrt{\frac{0.5675*0.4325}{918}} = 0.0269$

The margin of error is 0.0269.

C) construct the confidence interval.

$\pi \pm M$

$\pi - M = 0.5675 - 0.0269 = 0.5406$

$\pi + M = 0.5675 + 0.0269 = 0.5944$

The confidence interval is (0.5406, 0.5944).

5 0

3 years ago

Pls help will give brainiest!!!

Artist 52 [7]

Answer:

ikaw mag sagut nyan tiba may utak ka? Tanga kaya mo na yan

Step-by-step explanation:

She's imperfect but she tries

She is good but she lies

She is hard on herself

She is broken and won't ask for help

She is messy but she's kind

She is lonely most of the time

She is all of this mixed up

And baked in a beautiful pie

She is gone but she used to be mine

8 0

3 years ago

Need help on this problem

Taya2010 [7]

Answer:

Step-by-step explanation:

$2(x-2)^2=8(7+y)\\2(x-2)^2=56+8y \Rightarrow y={1\over{8}}[2(x-2)^2-56]={1\over{4}}(x-2)^2-7\\finally\\y={1\over{4}}(x-2)^2-7\\let ~change~x~and~y\\x={1\over{4}}(y-2)^2-7\\x+7={1\over{4}}(y-2)^2\\4(x+7)=(y-2)^2\\y-2=\pm\sqrt{4(x+7)}\\\\y=2\pm\sqrt{4x+28}$

7 0

3 years ago

A successful basketball player has a height of 6 feet 5 inches, or 196 cm. Based on statistics from a data set, his height conve

SVETLANKA909090 [29]

Answer:

The player's height is 3.02 standard deviations above the mean.

Step-by-step explanation:

Consider a random variable X following a Normal distribution with parameter μ and σ.

The procedure of standardization transforms individual scores to standard scores for which we know the percentiles (if the data are normally distributed).

Standardization does this by transforming individual scores from different normal distributions to a common normal distribution with a known mean, standard deviation, and percentiles.

A standardized score is the number of standard deviations an observation or data point is above or below the mean.

The standard score of the random variable X is:

$Z=\frac{X-\mu}{\sigma}$

These standard scores are also known as z-scores and they follow a Standard normal distribution, i.e. N (0, 1).

It is provided that the height of a successful basketball player is 196 cm.

The standard value of this height is, z = 3.02.

The z-score of 3.02 implies that the player's height is 3.02 standard deviations above the mean.

3 0

3 years ago