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laila [671]
3 years ago
15

The sum of the angle measures of a polygon with n sides is 1800. find n

Mathematics
1 answer:
Lilit [14]3 years ago
5 0
The summation of the angle measures of a polygon is given by:
180(n - 2).
Thus, we need to find: 1800 = 180(n - 2)
10 = n - 2
n = 12

Therefore, the shape is a dodecagon, and the number of sides it has is 12.
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Suppose you have 60 red marbles and 40 blue marbles in a
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Answer:  The required probability is 0.26.

Step-by-step explanation: Given that there are 60 red marbles and 40 blue marbles in a  box 10 marbles are picked without replacement.

We are to find the probability of selecting 6 red marbles.

Since the marbles are picked up without replacement, so it is a situation of combination.

Let S denote the sample space of the experiment of drawing 10 marbles and E denote the event that 6 marbles are red.

So,

n(S)=^{100}C_{10}=\dfrac{100!}{10!(100-10)!}=\dfrac{100!}{10!90!}=17310309456440,\\\\\\n(E)=^{60}C_6\times^{40}C_4=\dfrac{60!}{6!54!}\times\dfrac{40!}{4!36!}=50063860\times91390.

Therefore, the probability of event E is given by

P(E)=\dfrac{n(E)}{n(S)}=\dfrac{50063860\times91390}{17310309456440}=0.26.

Thus, the required probability is 0.26.

6 0
3 years ago
Find the quotient <br> 645 divided by 100
Ad libitum [116K]
The answer would be 6.45
6 0
3 years ago
Negation of all owls fly?
Reptile [31]
Looking at this in terms of sets, let's call O the set of all owls, and F the set of all things that can fly. What this original statement is saying every animal that's a member of the set of all owls is also a member of the set of all things that can fly, or in other words, O⊂F (O is a subset of F). Negating this tells us that, while there's <em>at least one</em> element of O that also belongs to F, O is not contained entirely in F (O⊆F, in notation), so a good negation or our original statement might be:

<em>Not all owls can fly.</em>
8 0
2 years ago
Read 2 more answers
create a table of values for y = 1/x using x = -3, -2. -1, -0.5, -0.25, 0.5, 1, 2 and 3. Sketch the graph of function. what happ
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3 years ago
Brian correctly use a method of completing the square to solve the equation X a 2nd plus 7X -11 equals zero Brian‘s first step w
ArbitrLikvidat [17]

Answer:

(\frac{7}{2})^{2}

Step-by-step explanation:

Brain correctly use a method of completing the square to solve the equation:

x^2+7x-11=0

His First Step is to: Take the Constant Term to the Right Hand Side

x^2+7x=11

The Next Step Would be to:

  • Divide the Coefficient of x by 2
  • Square It
  • Add it to both Sides

In this case, the Coefficient of x  = 7

  • Divided by 2 = \frac{7}{2}
  • Squaring It, we have: (\frac{7}{2})^{2}

It is this number (\frac{7}{2})^{2} that is added to both sides in the manner below:

x^2+7x+(\frac{7}{2})^{2}=11+(\frac{7}{2})^{2}

6 0
3 years ago
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