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77julia77 [94]
3 years ago
8

What is the measure of each interior angle of a regular 20- hon?

Mathematics
1 answer:
PolarNik [594]3 years ago
4 0

Answer:

162°

Step-by-step explanation:

To find the measure of an interior angle in a regular n-gon, we use the formula:

(n - 2)(180) / n

We substitute 20 in for n to get:

(20 - 2)(180) / 20

And simplify:

(18)(180) / 20

(18)(9)

162°

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Afina-wow [57]
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Based on a​ poll, among adults who regret getting​ tattoos, 12​% say that they were too young when they got their tattoos. Assum
Tema [17]

Answer:

a.  0.6588

b. 0.3978

c. 0. 279

Step-by-step explanation:

In the given question the success and failure are given the number of outcomes is fixed so binomial distribution can be applied.

Here success=  p = 12 % or 12/100 = 0.12

failure = q= 1-p = 1-0.12 = 0.88

n= 10

Using binomial probability distribution

a. Probability that the number of selected adults saying they were too young is 0 or 1 is calculated as:

P (x=0,1) = 0.12 ⁰(0.88)¹⁰10 C0  + 0.12 (0.88)⁹ 10 C1=  1* 0.279 * 1  + 0.12 ( 0.3165) 10 =  0. 279 + 0.3978=  0.6588

b. Probability that exactly one of the selected adults says that he or she was too young to get tattoos is calculated as

P (x=1) =  0.12 (0.88)⁹ 10 C1=  0.12 ( 0.3165) 10 =  0.3978

c. Probability that none of the selected adults say that they were too young to get tattoos is

P (x=0) = 0.12 ⁰(0.88)¹⁰10 C0  =  1* 0.279 * 1   =  0. 279

4 0
3 years ago
Juanita has 3 rectangular cards that are 8 inches by 9 inches. How can she arrange the cards, without overlapping, to make one l
ivann1987 [24]

Answer:

Step-by-step explanation:

Given  

  • 3 rectangular cards
  • each card is 8 inches by 9 inches

The way that she can arrange the cards, without overlapping, to make one larger polygon with the smallest possible perimeter is that:

Put 3 cards together according to the length

So  the smallest possible perimeter is:

8 + 8 + 8 + 8 + 8 + 8 + 9 + 9 = 66 inches as you can see in the attached photo.

The area of the polygon is equal to the combined area of the 3 cards without overlapping or extending.

Hope it can find you well.

6 0
4 years ago
A satellite flies 55584 miles in <br> 7.72 hours. How many miles has it flown in 23.19 hours?
dedylja [7]

Answer:

Miles flown in 23.19 hours = 166968 miles

Step-by-step explanation:

Given that:

A satellite flies 55584 miles in 7.72 hours

We will find the unit rate first,

Unit rate = \frac{55584}{7.72}

Unit rate = 7200 miles per hour

Miles flown in 23.19 hours,

Miles flown = 7200 * 23.19

Miles flown = 166968 miles

Hence,

Miles flown in 23.19 hours = 166968 miles

5 0
3 years ago
Solve 2x + 4 &gt; 16<br><br> A. x &gt; 10<br> B. x &lt; 6<br> C. x &lt; 10<br> D. x &gt; 6
Salsk061 [2.6K]

Hey there! :)

2x + 4 > 16

We're simply just trying to get x onto it's own side, so let's get rid of any numbers on the same side of it.

We can start out by subtracting both sides by 4.

2x + 4 - 4 > 16 - 4

Simplify.

2x > 12

Then, divide both sides by 2.

2x ÷ 2 > 12 ÷ 2

Simplify.

x > 6

Therefore, our answer is D. x > 6

~Hope I helped!~

6 0
3 years ago
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