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sashaice [31]
3 years ago
7

How to answer this problem

Mathematics
1 answer:
tangare [24]3 years ago
4 0
<2= 30 degrees since its vertical to the 4th angle.
<1=150 degrees
<3=150 degrees

since angle 3 and the 4th angle are supplementary, which means both angles equal 180 degrees, angle 3 equals 150 degrees.

since angle 3 is vertical to angle 1 it's also 150 degrees since they're congruent.
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Compute the perimeter of the figure given below. All angles are right angles.
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Answer:44

Step-by-step explanation:

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What is the exercise 3-8?
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In a sociology class there are 1414 sociology majors and 1111 non-sociology majors. 33 students are randomly selected to present
saul85 [17]

Answer: 0.4065

Step-by-step explanation:

Given : In a sociology class there are 14 sociology majors and 11 non-sociology majors.

Total students = 14+11=25

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Then, the number of ways to select 3 students from 25 students :-

^{25}C_3=\dfrac{25!}{(25-3)!3!}=\dfrac{25\times24\times23\times22!}{22!3!}\\\\=2300

Number of ways to select  at least 2 of the 3 students re non-sociology majors :-

^{14}C_1\times^{11}C_2+^{14}C_0\times ^{11}C_{3}\\\\=(14)\times\dfrac{11!}{2!(11-2)!}+(1)\times\dfrac{11!}{3!(11-3)!}\\\\=(14)(11\times5)+\dfrac{11\times10\times9}{6}\\\\=770+165=935

The probability that at least 2 of the 3 students selected are non-sociology majors will be :-

\dfrac{935}{2300}=0.40652173913\approx0.4065

8 0
3 years ago
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Veronika [31]

Answer:

y>(line under >) - 4/5x + 8

Step-by-step explanation:

Phrase "at least" indicates that the total number of pies is greater than or equal to 120.

The number of chicken pot pies Samantha makes is 12x, and the number of veggie pot pies she makes is 15y.

Use this information to create the inequality:

12x + 15y >(line under >) 120

Simplify by solving for y to get this inequality:

y >(line under >) - 4/5x + 8

3 0
2 years ago
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