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zepelin [54]
2 years ago
13

The table shows the side length and approximate area of an octagonal stop sign.

Mathematics
2 answers:
Brums [2.3K]2 years ago
6 0
Area = (# of sides * side length^2) / [4 * tan (180/n)]
area = (8 * x^2) / 4 * tan (22.5)
area = 8 x^2 / (4 * 0.41421)
area = 8 x^2 / 1.65684
area = 4.828 x^2
Ann [662]2 years ago
5 0
Area = (# of sides * side length^2) / [4 * tan (180/n)]
area = (8 * x^2) / 4 * tan (22.5)
area = 8 x^2 / (4 * 0.41421)
area = 8 x^2 / <span> <span> <span> 1.65684 </span> </span> </span>
area = 4.828 x^2

So, it seems the correct answer is the first one.


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Suppose we have a group of 10 light users and 10 heavy users. what is the probability that exactly 3 of the 20 users are hiv pos
dmitriy555 [2]

Answer: The answer is 30%.


Step-by-step explanation:  Given that there is a group of 10 light users and 10 heavy users. We are to find the probability that exactly 3 of the 20 users are HIV positive.

We have the following four possible cases -

(i) All 3 are light users.

(ii) 1 is a light user and 2 are heavy users.

(iii) 2 are light users and 1 is a heavy user.

(iv) All 3 are heavy user.

Since there is a 45% chance of a light user to be HIV positive and 55% chance of a heavy user to be HIV positive, so the required probability is given by

p\\\\=\dfrac{3\times 0.45+1\times 0.45+2\times 0.55+2\times 0.45+1\times 0.55+3\times 0.55}{20}\\\\=\dfrac{6}{20}\\\\=0.3\\\\=30\%.

Thus, the probability is 30.

4 0
2 years ago
Simplify 4a³b² × 3a⁶b⁵​
Rasek [7]

Answer:

12a^9b^7

Step-by-step explanation:

Multiplying variables of the same base, will require you to add the exponents.

4a^3b^2 * 3a^6b^5

         4*3 =  12

a^3 * a^6 =   a^9

b^2 * b^5 =   b^7

12a^9b^7

4 0
2 years ago
Read 2 more answers
What is the distance between the following points?
timama [110]

Answer:

D. d = \sqrt{58}

Step-by-step explanation:

Use the distance formula: d = \sqrt{(x2 - x1)^{2}+ (y2 - y1)^{2}  }

The two points are (6, -2) and (3, -9)

Plug the values into the formula:

d = \sqrt{(3 - 6)^{2}+ (-9 + 2)^{2}  }

Simplify

d = \sqrt{(-3)^{2}+ (-7)^{2}  }

d = \sqrt{9+ 49  }

d = \sqrt{58}

I hope this helps :))

5 0
2 years ago
For customers purchasing a refrigerator at a certain appliance store, let A be the event that the refrigerator was manufactured
kati45 [8]
The answers are the following:
<span><span><span>P(A)=0.75</span><span>
</span></span><span><span>P(B|A)=0.9
</span></span><span><span>P(B|<span>A′</span>)=0.8
</span></span><span><span>P(C|A∩B)=0.8
</span></span><span><span>P(C|A∩<span>B′</span>)=0.6
</span></span><span><span>P(C|<span>A′</span>∩B)=0.7
</span></span><span><span>P(C|<span>A′</span>∩<span>B′</span>)=0.3</span></span></span>
4 0
2 years ago
Jed entered the following values into the TVM Solver on his graphing calculator.
Elden [556K]

Answer: 17.7

Step-by-step explanation:

69/ 3.9%•100= 17.69= 17.7

8 0
2 years ago
Read 2 more answers
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