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3 years ago

15

The sum of the interior angles of a triangle is 180 degrees, of a quadrilateral is 360 degrees, and of a pentagon is 540 degrees

. Assuming this pattern continues, find a sum of the interior angles of a dodecagon

1 answer:

Wittaler [7]3 years ago

6 0

A dodecaegon has 12 angles, adding up to 1800 interior degrees

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Ahmed an Art dealer earns 25% commission of the dollar value of the art pieces that he sells at the Gallery. Ahmed earns $10,000

Mkey [24]

Answer:

$40,000

Step-by-step explanation:

25% of x = $10,000

0.25x = 10,000

x = 10,000/0.25

x = 40,000

Answer: $40,000

3 0

3 years ago

The temperature at noon at a ski resort is 3°F. The temperature drops 8°F by midnight.

zhuklara [117]

Answer:

The answer is negative 5 degrees.

Step-by-step explanation:

You just have to subtract 3 by 8.

6 0

2 years ago

Because of staffing decisions, managers of the Gibson-Marion Hotel are interested in the variability in the number of rooms occu

olchik [2.2K]

Answer:

a) $s^2 =30^2 =900$

b) $\frac{(19)(30)^2}{30.144} \leq \sigma^2 \leq \frac{(19)(30)^2}{10.117}$

$567.28 \leq \sigma^2 \leq 1690.224$

c) $23.818 \leq \sigma \leq 41.112$

Step-by-step explanation:

Assuming the following question: Because of staffing decisions, managers of the Gibson-Marimont Hotel are interested in the variability in the number of rooms occupied per day during a particular season of the year. A sample of 20 days of operation shows a sample mean of 290 rooms occupied per day and a sample standard deviation of 30 rooms

Part a

For this case the best point of estimate for the population variance would be:

$s^2 =30^2 =900$

Part b

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The degrees of freedom are given by:

$df=n-1=20-1=19$

Since the Confidence is 0.90 or 90%, the significance $\alpha=0.1$ and $\alpha/2 =0.05$ , the critical values for this case are:

$\chi^2_{\alpha/2}=30.144$

$\chi^2_{1- \alpha/2}=10.117$

And replacing into the formula for the interval we got:

$\frac{(19)(30)^2}{30.144} \leq \sigma^2 \leq \frac{(19)(30)^2}{10.117}$

$567.28 \leq \sigma^2 \leq 1690.224$

Part c

Now we just take square root on both sides of the interval and we got:

$23.818 \leq \sigma \leq 41.112$

5 0

3 years ago

I need help with this math equation 3(2x + 6)

My name is Ann [436]

Answer:

6+18 pls give brainlest

Step-by-step explanation:

How to solve your problem

3(2+6)

Simplify

1

Distribute

3(2+6)

6+18

Solution

6+18

7 0

3 years ago

Is depth the same thing as height?

Klio2033 [76]

Answer:

Depth is the downward direction actually and height is upward direction got it?

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers