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Anettt [7]
3 years ago
6

What is an angle between a side of a polygon and the extension of its adjacent side

Mathematics
1 answer:
jek_recluse [69]3 years ago
8 0
I would say that the angle would be an exterior angle because it's usually between the side of the polygon connected by a line as an extension of the adjacent side. 

here's an example. hope it helps!

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A market research analyst claims that 32% of the people who visit the mall actually make a purchase. You think that less than 32
Rainbow [258]

Answer:

E. -1.48

Step-by-step explanation:

The test statistic is:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the expected value, \sigma is the standard deviation and n is the size of the sample.

A market research analyst claims that 32% of the people who visit the mall actually make a purchase.

This means that:

\mu = 0.32

\sigma = \sqrt{0.32*0.68} = 0.4665

You stand by the exit door of the mall starting at noon and ask 82 people as they are leaving whether they bought anything. You find that only 20 people made a purchase.

This means that n = 82, X = \frac{20}{82} = 0.2439

The value of the test statistic is about:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

t = \frac{0.2439 - 0.32}{\frac{0.4665}{\sqrt{82}}}

t = -1.48

So the correct answer is given by option E.

3 0
3 years ago
8+(-6)=<br>help,,, i got 2 but dont know if it's right
Oduvanchick [21]
The answer is 2 u were right so yeah answer is 2
5 0
3 years ago
Read 2 more answers
Mabel scored 19 points more on her math test than Nancy. Phoebe scored 10 points less on her math test than Nancy. If Phoebe sco
Ierofanga [76]
23+10+19=52 so your answer is 52
4 0
3 years ago
Read 2 more answers
What is partial derivative of z=(2x+3y)^10 with respect to x,y?
maw [93]
Not sure if you mean to ask for the first order partial derivatives, one wrt x and the other wrt y, or the second order partial derivative, first wrt x then wrt y. I'll assume the former.

\dfrac\partial{\partial x}(2x+3y)^{10}=10(2x+3y)^9\times2=20(2x+3y)^9

\dfrac\partial{\partial y}(2x+3y)^{10}=10(2x+3y)^9\times3=30(2x+3y)^9

Or, if you actually did want the second order derivative,

\dfrac{\partial^2}{\partial y\partial x}(2x+3y)^{10}=\dfrac\partial{\partial y}\left[20(2x+3y)^9\right]=180(2x+3y)^8\times3=540(2x+3y)^8

and in case you meant the other way around, no need to compute that, as z_{xy}=z_{yx} by Schwarz' theorem (the partial derivatives are guaranteed to be continuous because z is a polynomial).
3 0
3 years ago
Read 2 more answers
Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard
Bumek [7]

Answer:

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

The domain for x is all real numbers greater than zero and less than 5 com

Step-by-step explanation:

<em><u>The question is</u></em>

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

V=LWH

we have

L=(10-2x)\ cm

W=(10-2x)\ cm

H=x)\ cm

substitute

V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

Find the domain for x

we know that

(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm

so

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

5 0
3 years ago
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