MATHEMATICS COLLEGE

A regular octagon can be concave.

True or False? Please explain.

Thanks!

Answers

Answer 1
Answer:

a regular polygon has all equal angles, interior and exterior, as well as all equal sides.

Check the picture below.

the one on the left is a regular octagon, as well as a convex one.

the one on the right is also an octagon, but is concave, the  issue is that, though all sides remain equal, the angles do not, and so is not a regular octagon.

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What two numbers have a least common multiple of 40 and a greatest common factor of 2?

Answers

2 and 40
Common factors
40={1,2,4,5,8,10,20,40}
2 = {1,2}

Greatest common factor =2

Common multiples
40={40,80,...}
2 = {2,4,6,8,10,...,40,42,...}

Least common multiple= 40

What is the simplified expression

Answers

Answer:

D) -4x-1

Step-by-step explanation:

-1(2x+3)-2(x-1)

-2x-3-2x+2

-4x-1

Therefore D is correct

Hellllllllllllllllllllllllllllllllllpppppppppppppppppppppppp whats the x

Answers

Easy buddy....

2 x + 68 = 180

Subtract the sides of the equation minus68

2x = 180 - 68

2x = 112

Divided the sides of the equation by2

x = (112)/(2) = 56 \n

So ;

x = 56 \: degreees

_________________________________

And we're done.

Thanks for watching buddy good luck.

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Use the given level of confidence and sample data to construct a confidence interval for the population proportion p.n= 195, p^=p hat= 0.831, Confidence level=95%

a.) 0.777

Answers

Answer:

The 95% confidence interval for the population proportion is (0.778, 0.884).

Step-by-step explanation:

We have to calculate a 95% confidence interval for the proportion.

The sample proportion is p=0.831.

 

The standard error of the proportion is:

\sigma_p=\sqrt{(p(1-p))/(n)}=\sqrt{(0.831*0.169)/(195)}\n\n\n \sigma_p=√(0.00072)=0.027

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=1.96 \cdot 0.027=0.053

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sisgma_p = 0.831-0.053=0.778\n\nUL=p+z \cdot \sisgma_p = 0.831+0.053=0.884

The 95% confidence interval for the population proportion is (0.778, 0.884).

mimi read 1/4 of a book on wednesday. she read 82 more pages on thursday, and she finished the book on friday by reading the last 98 pages. how many pages were in mimi's book.

Answers

Answer:

240 pages

Step-by-step explanation:

Let x = the TOTAL number of pages in the book. So we'll add up all her reading for the week and it should equal x, the total number of pages.

see image.

The dot plot shows the numbers of pets that students in a class own

Answers

Answer:

5 dots above zero

Step-by-step explanation:

Could the question be The dot plot shows the number of pets owned by the students in Jayod’s class.

The center, or the middle value, of the data set is _____.????

If it is that is the answer.

Hope this helps!! :)
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