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castortr0y [4]
3 years ago
10

What is the name for an 8-sided polygon

Mathematics
2 answers:
Mazyrski [523]3 years ago
8 0

An 8 sided polygon is, an Octagon

madam [21]3 years ago
5 0

Answer:

An octagon

Step-by-step explanation:

“Octa” means 8, so an octagon is an eight-sided polygon.

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for the data values below construct a 95 confidence interval if the sample mean is known to be 12898 and the standard deviation
Volgvan

Answer:

A 95% confidence interval for the population mean is [3315.13, 22480.87] .

Step-by-step explanation:

We are given that for quality control purposes, we collect a sample of 200 items and find 24 defective items.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                             P.Q.  =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~  t_n_-_1

where, \bar X = sample proportion of defective items = 12,898

             s = sample standard deviation = 7,719

            n = sample size = 5

             \mu = population mean

<em> Here for constructing a 95% confidence interval we have used a One-sample t-test statistics as we don't know about population standard deviation. </em>

<u>So, 95% confidence interval for the population mean, </u>\mu<u> is ; </u>

P(-2.776 < t_4 < 2.776) = 0.95  {As the critical value of t at 4 degrees of

                                               freedom are -2.776 & 2.776 with P = 2.5%}  

P(-2.776 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 2.776) = 0.95

P( -2.776 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu} < 2.776 \times {\frac{s}{\sqrt{n} } } ) = 0.95

P( \bar X-2.776 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+2.776 \times {\frac{s}{\sqrt{n} } } ) = 0.95

<u>95% confidence interval for</u> \mu = [ \bar X-2.776 \times {\frac{s}{\sqrt{n} } } , \bar X+2.776 \times {\frac{s}{\sqrt{n} } } ]

                                = [ 12,898-2.776 \times {\frac{7,719}{\sqrt{5} } } , 12,898+2.776 \times {\frac{7,719}{\sqrt{5} } } ]

                               = [3315.13, 22480.87]

Therefore, a 95% confidence interval for the population mean is [3315.13, 22480.87] .

5 0
4 years ago
What is the formula of solid hemisphere and ehat is the formula of its surface area???​
lara31 [8.8K]

Answer:

Total surface area of a hemisphere: A = 3 * π * r² , Surface to volume ratio of a hemisphere: A / V = 9 / (2 * r) .

3 0
3 years ago
Which graph best represents the equation 3x + y = -5?
lara [203]

Answer:

the one that looks closest to this

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
1) ______ is when an asset increases in value
suter [353]
<h2>Answer:</h2>

<u>The correct answer is</u><u> B) Appreciation </u>

<h2>Step-by-step explanation:</h2>

In economics, Appreciation is an increase in the value of an asset over the passage of time. This increase can occur for various reasons, including increased demand or weakening supply in a market, or as a result of changes in inflation or may be in interest rates. For example The value of a house usually increases with time. Therefore its value is said to appreciate. Appreciation is the opposite of depreciation, which is a decrease over time.

8 0
4 years ago
If cos x= 5/13 and sin x &lt;0 find cos (x/2) and sin (2x)
taurus [48]
We know that

if cos x is positive
and
sin x is negative
so
the angle x belong to the IV quadrant

cos x=5/13
we know that
sin²x+cos²x=1-------> sin²x=1-cos²x------> 1-(5/13)²---> 144/169
sin x=√(144/169)-------> sin x=12/13
but remember that x is on the IV quadrant
so
sin x=-12/13

Part A) <span>cos (x/2)
cos (x/2)=(+/-)</span>√[(1+cos x)/2]
cos (x/2)=(+/-)√[(1+5/13)/2]
cos (x/2)=(+/-)√[(18/13)/2]
cos (x/2)=(+/-)√[36/13]
cos (x/2)=(+/-)6/√13-------> cos (x/2)=(+/-)6√13/13
the angle (x/2) belong to the II quadrant
so
cos (x/2)=-6√√13/13

the answer Part A) is 
cos (x/2)=-6√√13/13

Part B) sin (2x)
sin (2x)=2*sin x* cos x------> 2*[-12/13]*[5/13]----> -120/169

the answer Part B) is 
sin(2x)=-120/169
4 0
3 years ago
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