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Klio2033 [76]
3 years ago
7

The interior angles in a regular polygon are 140 degrees. How many sides has the polygon?

Mathematics
2 answers:
Wittaler [7]3 years ago
8 0
180^o-140^o=40^o\\\\360^o:40^o=9\\\\Answer:This\ a\ regular\ polygon\ has\ 9\ sides.

Rasek [7]3 years ago
6 0
Yes, it certainly could !  When you first noticed that formula in a book, or when it was given to you in class, did you also notice or learn what it means ?

It means
"The sum of all the interior angles in a polygon" = (number of sides - 2) x 180.

Triangle ........ 3 sides ... (3 - 2) = 1 x 180 = 180° degrees ... 60° each if regular
Quadrilateral . 4 sides ... (4 - 2) = 2 x 180 = 360° degrees ... 90° each if regular
Pentagon ...... 5 sides ... (5 - 2) = 3 x 180 = 540° degrees ... 108° each if regular
Hexagon ....... 6 sides ... (6 - 2) = 4 x 180 = 720° degrees ... 120° each if regular
Sevenagon ... 7 sides ... (7 - 2) = 5 x 180 = 900° degrees ... 128 and 4/7 each if regular
Octagon ........ 8 sides ... (8 - 2) = 6 x 180 = 1080° degrees ... 135° each if regular
Nonagon ....... 9 sides ... (9 - 2) = 7 x 180 = 1260° degrees ... 140° each if regular
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Suppose X has a continuous uniform distribution over the interval [1.3, 6.2]. Round your answers to 3 decimal places.
goldenfox [79]

Answer:

(a) 3.75

(b) 2.00083

(c) 0.4898

Step-by-step explanation:

It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].

(a)

Compute the mean of X as follows:

\mu_{X}=\frac{a+b}{2}=\frac{1.3+6.2}{2}=3.75

(b)

Compute the variance of X as follows:

\sigm^{2}_{X}=\frac{(b-a)^{2}}{12}=\frac{(6.2-1.3)^{2}}{12}=2.00083

(c)

Compute the value of P(X < 3.7) as follows:

P(X < 3.7)=\int\limits^{3.7}_{1.3}{\frac{1}{6.2-1.3}}\, dx\\\\=\frac{1}{4.9}\times [x]^{3.7}_{1.3}\\\\=\frac{3.7-1.3}{4.9}\\\\\approx 0.4898

Thus, the value of P(X < 3.7)  is 0.4898.

5 0
2 years ago
The number of responses to a survey are shown in the Pareto chart. The survey asked 1052 adults how they would grade the quality
Goryan [66]

Answer: (a) P(no A) = 0.935

              (b) P(A and B and C) = 0.0005

              (c) P(D or F) = 0.379

              (d) P(A or B) = 0.31

Step-by-step explanation: <u>Pareto</u> <u>Chart</u> demonstrates a relationship between two quantities, in a way that a relative change in one results in a change in the other.

The Pareto chart below shows the number of people and which category they qualified each public school.

(a) The probability of a person not giving an A is the difference between total probability (1) and probability of giving an A:

P(no A) = 1-\frac{68}{1052}

P(no A) = 1 - 0.065

P(no A) = 0.935

b) Probability of a grade better than D, is the product of the probabilities of an A, an B and an C:

P(A and B and C) = (\frac{68}{1052})(\frac{258}{1052})(\frac{327}{1052})

P(A and B and C) = \frac{5736888}{1164252608}

P(A and B and C) = 0.0005

c) Probability of an D or an F is the sum of probabilities of an D and of an F:

P(D or F) = \frac{269}{1052} +\frac{130}{1052}

P(D or F) = \frac{399}{1052}

P(D or F) = 0.379

d) Probability of an A or B is also the sum of probabilities of an A and of an B:

P(A or B) = \frac{68}{1052} +\frac{258}{1052}

P(A or B) = \frac{326}{1052}

P(A or B) = 0.31

7 0
3 years ago
Which of the following could be the ratio between the lengths of the two legs of a 30-60-90 triangle check all that apply ....√3
Lerok [7]

Answer:

90 to 30

90/30

Step-by-step explanation:

6 0
3 years ago
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aev [14]
Your answer would turn out to be Shelby goes out her front door turns West and walks past the other three houses.
8 0
3 years ago
Please help pre Algebra question
qaws [65]

Answer:

4=No

-3=No

2=Yes

0=No

Step-by-step explanation:

enter enter all the factors into the equation and see which one equals -28 on both sides at the end.

5 0
2 years ago
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