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3 years ago

What is the sum of 4 of the interior angles of a regular octagon?

Mathematics

1 answer:

ycow [4]3 years ago

3 0

Answer:

540°

Step-by-step explanation:

inter angle vertex = 135°

135 + 135 + 135 + 135 = 540°

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What is 3.56 as the quotient of 2 integers?

dmitriy555 [2]

3.56 = 356 / 100 = 89 / 25

8 0

3 years ago

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Does anybody know this ??

iVinArrow [24]

Transformations:

1.) The -4 moves your y-intercept down 4 units. Without the -4, your y-intercept would be (0,-1)

2.) The -2 in the fraction moves your x-intercept to the to the right 2 units. Without the -2, your x-intercept would be (1/2,0)

Domain:

(-∞,2) ∪ (2,∞)

Range:

(-∞,-4) ∪ (-4,∞)

Vertical Asymptote:

x=2

Horizontal Asymptote:

y=-4

X-Intercept:

(5/2,0)

Y-Intercept:

(0,-5)

7 0

3 years ago

Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she

Anarel [89]

Answer:

$P(3.25 < \bar X < 4.25)$

And we can use the z score formula given by:

$z = \frac{\bar X -\mu}{\sigma_{\bar X}}$

And using the z score we have:

$P(\frac{3.5-4}{0.3}< Z< \frac{4.25-4}{0.3}) = P(-1.667< Z< 0.833)$

And we can use the normal standard distribution table or excel in order to find the probabilities and we got:

$P(-1.667< Z< 0.833)= P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the time it takes her to complete one review, and for this case we know the distribution for X is given by:

$X \sim N(4,1.2)$

Where $\mu=4$ and $\sigma=1.2$

And we select a sample size of n =16. Since the dsitribution for X is normal then the distribution for the sample mean $\bar X$ is also normal and given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\sigma_{\bar X}= \frac{1.2}{\sqrt{16}}= 0.3$

For this case we want to find this probability:

$P(3.25 < \bar X < 4.25)$

And we can use the z score formula given by:

$z = \frac{\bar X -\mu}{\sigma_{\bar X}}$

And using the z score we have:

$P(\frac{3.5-4}{0.3}< Z< \frac{4.25-4}{0.3}) = P(-1.667< Z< 0.833)$

And we can use the normal standard distribution table or excel in order to find the probabilities and we got:

$P(-1.667< Z< 0.833)= P(Z$

The graph illustrating the problem is on the figure attached.

4 0

3 years ago

Complete the square<br> to find the vertex<br> of this parabola.<br> x?+8y+2x - 23=0

trapecia [35]

Answer:

The vertex of the parabola is;

([-1], [3])

Step-by-step explanation:

The given quadratic equation is presented as follows;

x² + 8·y + 2·x - 23 = 0

The equation of the parabola in vertex form is presented as follows;

y = a·(x - h)² + k

Where;

(h, k) = The vertex of the parabola

Therefore, we have;

x² + 8·y + 2·x - 23 = 0

8·y = -x² - 2·x + 23

y = 1/8·(-x² - 2·x + 23)

y = -1/8·(x² + 2·x - 23)

y = -1/8·(x² + 2·x + 1 - 23 - 1) = -1/8·(x² + 2·x + 1 - 24)

y = -1/8·((x + 1)² - 24) = -1/8·(x + 1)² + 3

Therefore, the equation of the parabola in vertex form is y = -1/8·(x + 1)² + 3

Comparing with y = a·(x - h)² + k, we have;

a = -1/8, h = -1, and k = 3

Therefore, the vertex of the parabola, (h, k) = (-1, 3).

3 0

3 years ago

The 2012 Super Bowl had an attendance of just 68,658 people in the newspaper the next day read about 70,000 people attended the

Drupady [299]

Answer:

Step-by-step explanation:

The paper estimated by rounding in to the nearest ten-thousand,

because the thousands number 8 is ≥ 5 they rounded 6 up to 7, making it 70,000.

8 0

3 years ago

Read 2 more answers