Ask question

Ask question

All categories

2 years ago

7

Sum of the interior angle measures of the polygon with 9 sides

1 answer:

kiruha [24]2 years ago

5 0

Hello There!

The sum of interior angles for any polygon is:
(n - 2) x 180
Where 'n' is the number of sides.
In this case, the polygon is a nonagon, which has 9 sides.
Substitute the value in:
(9 - 2) x 180 = ?
Solve:
Sum of interior angles = 1260°.

Hope This Helps You!
Good Luck :)

- Hannah ❤

You might be interested in

Write 0.2 as a fraction in simplest form

Artemon [7]

Answer:

1/5

Step-by-step explanation:

2/10 simplified = 1/5

7 0

3 years ago

Read 2 more answers

An example problem in a Statistics textbook asked to find the probability of dying when making a skydiving jump.

MArishka [77]

Answer:

(a) 0.999664

(b) 15052

Step-by-step explanation:

From the given data of recent years, there were about 3,000,000 skydiving jumps and 21 of them resulted in deaths.

So, the probability of death is $\frac{21}{3000000}==0.000007$ .

Assuming, this probability holds true for each skydiving and does not change in the present time.

So, as every skydiving is an independent event having a fixed probability of dying and there are only two possibilities, the diver will either die or survive, so, all skydiving can be regarded as is Bernoulli's trial.

Denoting the probability of dying in a single jump by $q$ .

$q=7\times 10^{-6}=0.000007$ .

So, the probability of survive, $p=1-q$

$\Rightarrow p=1-7\times 10^{-6}=0.999993.$

(a) The total number of jump he made, n=48

Using Bernoulli's equation, the probability of surviving in exactly 48 jumps (r=48) out of 48 jumps (n=48) is

$=\binom(n,r)p^rq^{n-r}$

$=\binom(48,48)(0.999993)^{48}(0.000007)^{48-48}$

$=(0.999993)^{48}=0.999664$ (approx)

So, the probability of survive in 48 skydiving is 0.999664,

(b) The given probability of surviving =90%=0.9

Let, total $n$ skydiving jumps required to meet the surviving probability of 0.9.

So, By using Bernoulli's equation,

$0.9=\binom {n }{r} p^rq^{n-r}$

Here, r=n.

$\Rightarrow 0.9=\binom{n}{n}p^nq^{n-n}$

$\Rightarrow 0.9=p^n$

$\Rightarrow 0.9=(0.999993)^n$

$\Rightarrow \ln(0.9)=n\ln(0.999993)$ [ taking $\log_e$ both sides]

$\Rightarrow n=\frac {\ln(0.9)}{\ln(0.999993)}$

$\Rightarrow n=15051.45$

The number of diving cant be a fractional value, so bound it to the upper integral value.

Hence, the total number of skydiving required to meet the 90% probability of surviving is 15052.

3 0

3 years ago

Given that x square + 5 x + c is a perfect square find the value of C

lawyer [7]

Answer:

c = $\frac{25}{4}$

Step-by-step explanation:

To make a perfect square

add ( half the coefficient of the x- term )² to x² + 5x

x² + 5x + ( $\frac{5}{2}$ )²

= x² + 5x + $\frac{25}{4}$

= (x + $\frac{5}{2}$ )² ← a perfect square

5 0

3 years ago

I need to know how to round to the nearest hundredth in the number 1.120

ryzh [129]

You can either round to 1000 or 2000 but 1.120 is closer to 1000

8 0

2 years ago

Read 2 more answers

Solve for x.<br><br> 4−(2x+4)=5<br><br> A. x=32<br> B. x=−52<br> C. x=−10<br> D. x = 6

Dennis_Churaev [7]

<em>Answer:</em>

<em>x = - 2.5</em>

<em>Step-by-step explanation:</em>

<em>Hi there !</em>

<em>4 - (2x + 4) = 5</em>

<em>4 - 2x - 4 = 5</em>

<em>- 2x = 5</em>

<em>2x = - 5</em>

<em>x = - 5 : 2</em>

<em>x = - 2.5</em>

<em>Good luck !</em>

6 0

3 years ago