1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
RideAnS [48]
3 years ago
13

The diagram shows a regular polygon What is the value of x? How do I solve this

Mathematics
1 answer:
I am Lyosha [343]3 years ago
3 0

Answer: x=120°

Step-by-step explanation:

What you are looking for is the value of the exterior angle of the regular polygon.

For a n-sided regular polygon, the external angle is given by the formula 360°/n.

Because the shape in this example is a regular triangle, the value of n is 3.

360°/n

=360°/3

=120°

Therefore, x=120°

You might be interested in
Please help!!!
Dominik [7]

Answer:

40

Step-by-step explanation:

8+1=9

16+2=18

24+3=27

32+4=36

<u>4</u><u>0</u><u>+</u> 5=45

7 0
3 years ago
A light bulb filament is one-hundredth of an inch thick, with an allowable error of 2 percent. What is the least allowable thick
Andreyy89

Answer:

0.00998 Inches

Step-by-step explanation:

Thickness of the light bulb filament = 0.01 Inch

Allowable error = 2%.

2% of 0.01 = 0.02 X 0.01 =0.0002 Inch

Therefore, the allowable thickness of the bulb filament

=0.01 \pm 0.0002 $ Inches

We can then calculate the least allowable thickness of the filament as:

=0.01 - 0.0002 \\=0.00998$ Inches

The least allowable thickness of the filament is 0.00998 Inches.

3 0
3 years ago
The base length of a triangle is 8 feet and the height is 4 feet. What is the area of the triangle?
Marina86 [1]

Answer:

16

Step-by-step explanation:

8 × 4 = 32

32 × 1/2 = 16

Hope this helps <3

6 0
3 years ago
The first two angles in a triangle are 100 degrees and 70 degrees. What does the third angle have to be?
melamori03 [73]

Answer:

180 degrees

Step-by-step explanation:

because 52 degrees + 104 degrees + 24 degrees = 180 degrees

8 0
3 years ago
Read 2 more answers
Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. F(x) =
Troyanec [42]

Answer:

a) P (x <= 3 ) = 0.36

b) P ( 2.5 <= x <= 3  ) = 0.11

c) P (x > 3.5 ) = 1 - 0.49 = 0.51

d) x = 3.5355

e) f(x) = x / 12.5

f) E(X) = 3.3333

g) Var (X) = 13.8891  , s.d (X) = 3.7268

h) E[h(X)] = 2500

Step-by-step explanation:

Given:

The cdf is as follows:

                           F(x) = 0                  x < 0

                           F(x) = (x^2 / 25)     0 < x < 5

                           F(x) = 1                   x > 5

Find:

(a) Calculate P(X ≤ 3).

(b) Calculate P(2.5 ≤ X ≤ 3).

(c) Calculate P(X > 3.5).

(d) What is the median checkout duration ? [solve 0.5 = F()].

(e) Obtain the density function f(x). f(x) = F '(x) =

(f) Calculate E(X).

(g) Calculate V(X) and σx. V(X) = σx =

(h) If the borrower is charged an amount h(X) = X2 when checkout duration is X, compute the expected charge E[h(X)].

Solution:

a) Evaluate the cdf given with the limits 0 < x < 3.

So, P (x <= 3 ) = (x^2 / 25) | 0 to 3

     P (x <= 3 ) = (3^2 / 25)  - 0

     P (x <= 3 ) = 0.36

b) Evaluate the cdf given with the limits 2.5 < x < 3.

So, P ( 2.5 <= x <= 3 ) = (x^2 / 25) | 2.5 to 3

     P ( 2.5 <= x <= 3  ) = (3^2 / 25)  - (2.5^2 / 25)

     P ( 2.5 <= x <= 3  ) = 0.36 - 0.25 = 0.11

c) Evaluate the cdf given with the limits x > 3.5

So, P (x > 3.5 ) = 1 - P (x <= 3.5 )

     P (x > 3.5 ) = 1 - (3.5^2 / 25)  - 0

     P (x > 3.5 ) = 1 - 0.49 = 0.51

d) The median checkout for the duration that is 50% of the probability:

So, P( x < a ) = 0.5

      (x^2 / 25) = 0.5

       x^2 = 12.5

      x = 3.5355

e) The probability density function can be evaluated by taking the derivative of the cdf as follows:

       pdf f(x) = d(F(x)) / dx = x / 12.5

f) The expected value of X can be evaluated by the following formula from limits - ∞ to +∞:

         E(X) = integral ( x . f(x)).dx          limits: - ∞ to +∞

         E(X) = integral ( x^2 / 12.5)    

         E(X) = x^3 / 37.5                    limits: 0 to 5

         E(X) = 5^3 / 37.5 = 3.3333

g) The variance of X can be evaluated by the following formula from limits - ∞ to +∞:

         Var(X) = integral ( x^2 . f(x)).dx - (E(X))^2          limits: - ∞ to +∞

         Var(X) = integral ( x^3 / 12.5).dx - (E(X))^2    

         Var(X) = x^4 / 50 | - (3.3333)^2                         limits: 0 to 5

         Var(X) = 5^4 / 50 - (3.3333)^2 = 13.8891

         s.d(X) = sqrt (Var(X)) = sqrt (13.8891) = 3.7268

h) Find the expected charge E[h(X)] , where h(X) is given by:

          h(x) = (f(x))^2 = x^2 / 156.25

  The expected value of h(X) can be evaluated by the following formula from limits - ∞ to +∞:

         E(h(X))) = integral ( x . h(x) ).dx          limits: - ∞ to +∞

         E(h(X))) = integral ( x^3 / 156.25)    

         E(h(X))) = x^4 / 156.25                       limits: 0 to 25

         E(h(X))) = 25^4 / 156.25 = 2500

8 0
3 years ago
Other questions:
  • 685 prime factorization
    6·2 answers
  • Find the area and the circumference of a circle with radius 7 cm.
    9·2 answers
  • Help?
    12·2 answers
  • What is the volume of a cone that has a height of 7 mm and a radius of 3 mm? Use 3.14 to approximate pi and round the answer to
    7·1 answer
  • Write an equation for the following table.
    14·1 answer
  • From his house, Shane could drive due north to get to his parents' house or he could drive due east to get to his grandparents'
    11·1 answer
  • Which of these expressions equal 15 when x=1/2 and y=3? Circle all that apply. Please help with this my teacher need me to work
    9·1 answer
  • Layla and Bobby want to make 10 potholders each. If it takes one-eighth of a yard to make each potholder, how much total fabric
    14·1 answer
  • I will mark brainliest for best answer!
    6·1 answer
  • How is the theoretical probability of an event​ computed?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!