I need help. someone please explain to me

The exterior angles of a polygon all add to 360, if you need to find an exterior angle when given the number of sides and that all angles are equal you simply do: 360/ number of sides.
When you need to find the exterior angle when given an interior angle, you do: 180- interior angle.

Hope this helps :)

5 0

4 years ago

Last Wednesday, a random sample of 24 students were surveyed to find how long it takes to walk from the Fretwell Building to the

Ray Of Light [21]

Answer:

E

Step-by-step explanation:

Solution:-

- We are to investigate the confidence interval of 95% for the population mean of walking times from Fretwell Building to the college of education building.

- The survey team took a sample of size n = 24 students and obtained the following results:

Sample mean ( x^ ) = 12.3 mins

Sample standard deviation ( s ) = 3.2 mins

- The sample taken was random and independent. We can assume normality of the sample.

- First we compute the critical value for the statistics.

- The z-distribution is a function of two inputs as follows:

Significance Level ( α / 2 ) = ( 1 - CI ) / 2 = 0.05/2 = 0.025

Compute: z-critical = z_0.025 = +/- 1.96

- The confidence interval for the population mean ( u ) of walking times is given below:

[ x^ - z-critical*s / √n , x^ + z-critical*s / √n ]

Answer: [ 12.3 - 1.96*3.2 / √24 , 12.3 + 1.96*3.2 / √24 ]

3 0

3 years ago

Consider the triangle A(4,0), B(-2,4), C(0,6) What will be the equation of the altitude BM?

katovenus [111]

Answer:

BM: y = (2/3) x + 16/3 with segment length of 2.77

Step-by-step explanation:

AC formula: m = (6-0)/(0-4) = -3/2

(y-0)/(x-4) = -3/2 y = (-3/2)x + 6 ... (1)

BM slope: BM⊥ AC m = 2/3

BM formula: (y-4) / (x- -2) = (y-4) / (x+2) = 2/3

y-4 = 2/3 x + 4/3

y = (2/3) x + 16/3 ... (2) -2≤x≤0.31

intercept of AC and BM (M) from (1) and (2): (-3/2)x + 6 = (2/3) x + 16/3

(13/6) x = 2/3 x = (2/3) / (13/6) = 4/13 ≈ 0.31

y = (2/3) (4/13) + (16/3) = (8/39) + (208/39) = 216/39 = 72/13 ≈ 5.54

M (4/13 , 72/13) or (0.31 , 5.54)

segment BM = √(4/13 - -2)² + (72/13 - 4)² = √1300/169 = 2.77

4 0

3 years ago

I need some help!!!!!!!!!!!!!!!!!!!!!!!

vampirchik [111]

Step-by-step explanation:

We are dealing with theoretical probability. This means that our probability of said outcome is

$\frac{x}{y}$

where x is the outcome we want, and y is the total number of outcomes possible.

28. There is 3 triangles out of 6 polygons so the probability is 1/2.

29.There is 1 Pentagon so the probability is 1/6.

30. This is a complement to question 28. A complement is the inverse of the problem. A complement and its original add to 1 so the probability of both getting a triangle is 1/2.

31. There is 4 non quadraletrial so the probability is 2/3.

32. There is 3 figures that has more sides than three so 1/2 is the probability.

33.There is only multi right angles figures so 1/2 is the probability.

34. There is 30 days in April so the probability it's the 29th is

$\frac{1}{30}$

35. There is 31 days in July and 15 days after the 16th. So the probability

is

$\frac{15}{31}$

3 0

3 years ago

Name the binomial you can multiply by (x + 9) to get the product x2 + 5x - 36.

Mrac [35]

The answer is: [C]: " (x - 4) " .
____________________________________________________
" (x+9)(x-4) = x² - 4x + 9x - 36 = x² + 5x - 36 " .
____________________________________________________

8 0

3 years ago

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