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Aleks [24]
3 years ago
14

Hey! Some easy points people. Is this a polygon and what shapes would be a polygon and why?

Mathematics
1 answer:
Yuri [45]3 years ago
6 0
Yes it is a polygon because it have at least 3 or more straight lines that connect. For example a triangle and a square. But a non-polygon is a circle or a 3-d object.
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Below is a probability distribution for the number of failures in an elementary statistics course. X 0 1 2 3 4 P(X=x) 0.41 0.18
faust18 [17]

Answer:

a) P(X=2)= 0.29

b) P(X<2)= 0.59

c) P(X≤2)= 0.88

d) P(X>2)= 0.12

e) P(X=1 or X=4)= 0.24

f) P(1≤X≤4)= 0.59

Step-by-step explanation:

a) P(X=2)= 1 - P(X=0) - P(X=1) - P(X=3) - P(X=4)= 1-0.41-0.18-0.06-0.06= 0.29

b) P(X<2)= P(X=0) + P(X=1)= 0.41 + 0.18 = 0.59

c) P(X≤2)= P(X=0) + P(X=1) + P(X=2)=0.41+0.18+0.29= 0.88

d) P(X>2)=P(X=3) + P(X=4)=0.06+0.06= 0.12

e) P(X=1 or X=4)=P(X=1 ∪ X=4) = P(X=1) + P(X=4)=0.18+0.06= 0.24

f) P(1≤X≤4)=P(X=1) + P(X=2) + P(X=3) + P(X=4)=0.18+0.29+0.06+0.06= 0.59

3 0
3 years ago
Read 2 more answers
An investment of $900 earns 6% annual interest and is compounded semi-annually. Write an equation
nalin [4]

Answer:

A=900(1+\frac{0.06}{2})^{2(t)}

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

First, change 6% into a decimal:

6% -> \frac{6}{100} -> 0.06

Since the interest is compounded semi-annually, we will use 2 for n. Lets plug in the values now and your equation will be:

A=900(1+\frac{0.06}{2})^{2(t)}

4 0
2 years ago
Mike bought an MP3 player for $150. The sales-tax rate was 8 percent. How much sales tax did he pay on the MP3 player?
LenaWriter [7]
.08 x 150 = 12, He paid $12 sales tax :)
5 0
2 years ago
Read 2 more answers
What is the perimeter of the quadrilateral shown below?
GarryVolchara [31]

The perimeter of a shape is the sum of the lengths of its sides.

So, to find the perimeter of this quadrilateral, all we have to do is add the side lengths and simplify.

(x² - 6) + (2x + 5) + (x² - 3x) + (4x² + 2x)

x² + x² + 4x² + (-3x) + 2x + 2x + (-6) + 5

6x² + (-3x) + 2x + 2x + (-6) + 5

6x² + x + (-6) + 5

6x² + x + (-1)

6x² + x - 1

So, the perimeter of the quadrilateral is the quantity (6x² + x - 1).

Hope this helps!

8 0
2 years ago
What is the explicit formula for the sequence 7,2,-3,-8,-13
eduard
You could say that      a(n) = 12 - 5n .

Then ...

a(1) = 12 - 5 = 7
a(2) = 12 - 10 = 2
a(3) = 12 - 15 = -3
and so on.
So it seems to work.


8 0
2 years ago
Read 2 more answers
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