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3 years ago

In this polygon, which angle is an interior angle?

Mathematics

2 answers:

nikdorinn [45]3 years ago

8 0

Answer:

B - it's inside the polygon (remember in-side and in-terior)

Gelneren [198K]3 years ago

7 0

Answer:

i think its B cause its on the interior of the polygon

Step-by-step explanation:

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3 years ago

-x - 1 = 221 + 2x <br> plzzzzzzzzz help

Otrada [13]

$Simplifying
-1x + -1 = 221 + 2x

Reorder the terms:
-1 + -1x = 221 + 2x

Solving
-1 + -1x = 221 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-1 + -1x + -2x = 221 + 2x + -2x

Combine like terms: -1x + -2x = -3x
-1 + -3x = 221 + 2x + -2x$
$Combine like terms: 2x + -2x = 0
-1 + -3x = 221 + 0
-1 + -3x = 221

Add '1' to each side of the equation.
-1 + 1 + -3x = 221 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 221 + 1
-3x = 221 + 1

Combine like terms: 221 + 1 = 222
-3x = 222

Divide each side by '-3'.
x = -74

Simplifying
x = -74$

5 0

3 years ago

The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The

zavuch27 [327]

The standard deviation of the frequency distribution is 5.54

<h3>How to determine standard deviation?</h3>

The table of values is given as:

x f(x)

0-3 13

4-7 13

8-11 10

12-15 11

16-19 0

20-23 3

Rewrite the table by calculating the class midpoints:

x f(x)

1.5 13

5.5 13

9.5 10

13.5 11

17.5 0

21.5 3

Start by calculating the mean using:

$\bar x = \frac{\sum fx}{\sum f}$

This gives

$\bar x = \frac{1.5 * 13 + 5.5 * 13 + 9.5 * 10 + 13.5 * 11 + 17.5 * 0 + 21.5 * 3}{13 + 13 + 10 + 11 + 0 +3}$

Evaluate

$\bar x = 7.98$

The standard deviation is then calculated as:

$\sigma = \sqrt{\frac{\sum f(x - \bar x)^2}{\sum f }}$

So, we have:

$\sigma= \sqrt{\frac{13 * (1.5 - 7.98)^2 + 13 * (5.5 - 7.98)^2 + (9.5 - 7.98)^2 * 10 + (13.5 - 7.98)^2 * 11 + (17.5 - 7.98)^2 * 0 + (21.5 - 7.98)^2 * 3}{13 + 13 + 10 + 11 + 0 +3}}$