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pochemuha
3 years ago
10

Find the sum of the interior angle measures of a convex 15-gon (a fifteen-sided polygon).

Mathematics
1 answer:
vitfil [10]3 years ago
4 0

Answer:

2340 degrees.

Step-by-step explanation:

The sum of the interior angle measures of any polygon can be calculated using the following expression (n is the number of sides the polygon has):

180(n-2)

For a 15-sided polygon, plug in 15 for n and simplify:

180(15-2)=180(13)

Multiply to solve:

180(13)=2340

For a 15-sided polygon, the sum of the interior angles must be 2340 degrees. You can go a step further and divide 2340 by 15 to figure out the individual measure of each interior angle (156 degrees).

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What is the greatest common factor and least common multiple of 4 and 10?
rusak2 [61]

Answer:

The greatest common factor of 4 and 10 is 2, and the Least common multiple of 4 and 10 is 20

Step-by-step explanation:

3 0
3 years ago
−6x−3(x−2)<br> PLEASE HELP
vodomira [7]

Answer:

-9x + 6

Step-by-step explanation:

-6x−3(x−2)

Solution:

-6x−3(x−2)

-6x−3x+6

-9x + 6

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3 years ago
What is the probability that a two-digit number selected at random has a tens digit less than its units digit
Reika [66]

The probability that a two-digit number selected at random has a tens digit less than its units digit is 0.2667 (4/15).

A=24B=90\\\\P=A/B\\\\P=24/90\\p=4/15

There are 90 two-digit numbers (99-9). Of these, six numbers are divisible by 15 (15, 30, 45, 60, 75, 90). This is also divisible by 5. Therefore, the preferred case is 30-6 = 24. Therefore, the required probability is 24/90 = 4/15.

The probability of an event can be calculated by simply dividing the number of favorable results by the total number of possible results using a probabilistic expression. Whenever you are uncertain about the outcome of an event, you can talk about the probability of a particular outcome, that is, its potential.

Learn more about probability here: brainly.com/question/24756209

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6 0
2 years ago
Find the volume of a cone with base area 36pi ft^2 and a height equal to twice the radius.
lana66690 [7]

Evaluating a Satire

Whom or what is Swift criticizing in his satire, and what

techniques does he use to make his point? Write a two-

to three-sentence response, using examples from the

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2 years ago
Regression analysis is a statistical procedure for developing a mathematical equation that describes how
Mila [183]

Answer: Regression analysis is a statistical procedure for developing a mathematical equation that describes how the dependent variable (y) is related to the independent variable(x).

Step-by-step explanation:

REGRESSION ANALYSIS

Regression analysis is a statistical method used to determine the relationship between two or more variables of interest way. It is a way of sorting out variables which have impact mathematically. It is a more sophisticated way of examining the relationship between two (or more) variables than is correlation. The major differences between correlation and regression are:

Regression can investigate the relationships between two or more variables.

It determines the direction of causality, from the explanatory variable (or variables) to the dependent variable.

The impact of each explanatory variable on the dependent variable is measured.

Regression analysis explains this causal relationship by fitting a straight line drawn through the data, which best summarises them. It is sometimes called ‘the line of best fit’ for this reason.

Regression analysis gives answers to such questions as:

Which factors matters most?

Which factors can be ignored?

How do these factors interact with each other?

Does the growth rate influence a country’s birth rate?

If the growth rate increases, by how much might a country’s birth rate be expected to fall?

Are other variables important in determining the birth rate?

In regression analysis, factors are called Variables. There are two (2) types of variables.

1. Dependent variables: This is the main factor you are trying to predict

2. Independent variables: This is the factor you suspect has an impact on the dependent variable.

The equation of the sample regression line may be written as

Zi = a + bXi

Where;

Zi is the predicted value of Y for observation

Xi is the value of the explanatory variable for observation

a is the bare fixed coefficients to be estimated. It measures the intercept of the regression line on the Y-axis

b measures its slope.

The regression analysis equation describes how the dependent variable (y) is related to the independent variable(x). It allows you to predict the outcome of a relatively small amount of error.

3 0
3 years ago
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