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stira [4]
3 years ago
6

What is the sum of the interior angles of an octagon? 720° O 900° 1,080° 1,260°

Mathematics
2 answers:
ziro4ka [17]3 years ago
8 0

Answer:

1080

Step-by-step explanation:

because, the interior angles of an ocyagon is 135°

timofeeve [1]3 years ago
7 0

Answer:

1080

Step-by-step explanation:

All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the angles, we know that the sum of all the angles is 1080 degrees (from above)... And there are eight angles... So, the measure of the interior angle of a regular octagon is 135 degrees

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shutvik [7]
8 is not a factor or 2004
4 0
3 years ago
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The value of a machine depreciated each year by 10%of its value at the beginning of that year .If the value of a new machine is
lina2011 [118]

Answer:

Heyy

Step-by-step explanation:

Lets Price of article is 100

Dep value after 1 year =100−

100

100×10

= 90

Dep. value after 2 year =90−

100

90×10

=81

Dep. value after 3 years =81−

100

81×15

=68.85

Total Dep. =100−68.85 = 31.15%

8 0
2 years ago
Consider the function given by f(x)= x² +3. Find its average rate of change from x = -2 to x = 4.
xxTIMURxx [149]

Answer:

Rate = 2

Step-by-step explanation:

Given

f(x) = x^2 + 3

Required

Determine the average rate of change from -2 to 4

This is calculated using:

Rate = \frac{f(b) - f(a)}{b - a}

In this case:

a = -2

b = 4

So, we have:

Rate = \frac{f(b) - f(a)}{b - a}

Rate = \frac{f(4) - f(-2)}{4 - (-2)}

Rate = \frac{f(4) - f(-2)}{4 +2}

Rate = \frac{f(4) - f(-2)}{6}

Calculate f(4):

f(x) = x^2 + 3

f(4) = 4^2 + 3

f(4) = 19

Calculate f(-2)

f(x) = x^2 + 3

f(-2) = (-2)^2 + 3

f(-2) = 7

So:

Rate = \frac{f(4) - f(-2)}{6}

Rate = \frac{19-7}{6}

Rate = \frac{12}{6}

Rate = 2

<em>The average rate of change is 2.</em>

6 0
3 years ago
1,200 laptop ; 7.25% tax can someone help me!!
ziro4ka [17]

Answer:

$2,070

Step-by-step explanation:

1200*0.0725=870

the amount of tax is $870

1200+870=2070

7 0
3 years ago
A bank is reviewing its risk management policies with regards to mortgages. To minimize the risk of lending, the bank wants to c
agasfer [191]

1. μ = 306,500

2.σ = 24,500

3. n = 150

4. μ_x = $306,500

5. σ_x = $2000

<h3>What is Standard deviation?</h3>

The standard deviation serves as a gauge for the degree of variation or dispersion among a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the mean of the collection.

With a standard deviation of $24,500 and an average mortgage debt of $306,500, Americans have a median mortgage debt.

<h3>According to the given information:</h3>

The population's average is

μ = 306,500

Standard deviation for the general population is

σ = 24500

Imagine 150 Americans are chosen at random for the sample.

n= 150

The sample mean is roughly normally distributed as a result of the high sample size, which is supported by the central limit theorem.

The population mean and sample mean would be the same,

μ_n = μ =306,500

Here is how to calculate the sample standard deviation:

\sigma_{x}=\frac{\sigma}{\sqrt{n}}

the sample size is n, and is the population standard deviation.

\begin{aligned}&\sigma_{x}=\frac{24,500}{\sqrt{150}} \\&\sigma_{x}=\$ 2,000\end{aligned}

The necessary conditions are thus:

1. μ = 306,500

2.σ = 24,500

3. n = 150

4. μ_x = $306,500

5. σ_x = $2000

To know more about Standard deviation visit:

brainly.com/question/16965372

#SPJ4

I understand that the question you are looking for is :

A bank is reviewing its risk management policies with regards to mortgages. To minimize the risk of lending, the bank wants to compare the typical mortgage owed by their clients against other homebuyers. The average mortgage owed by Americans is $306,500, with a standard deviation of $24,500. Suppose a random sample of 150 Americans is selected. Identify each of the following, rounding your answers to the nearest cent when appropriate:

1.1.  $mu=?\\2. $sigma=?\\3. $=n=$\\4. $mu_{overlinex}=$x=?\\5. $sigma_{overlinex}=$x=?

4 0
2 years ago
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