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grandymaker [24]
3 years ago
11

A=4ℼR2 solve for R SHOW ALL STEPSSSSSSSSSSSSS

Mathematics
1 answer:
GuDViN [60]3 years ago
3 0

Given problem;

  A  = 4 π R²

  To solve for R, we have to make it the subject of the expression.

Since

      A  = 4 π R² , follow these steps to find R;

    Multiply both sides by \frac{1}{4\pi }  

 A x \frac{1}{4\pi }  =  \frac{1}{4\pi } x 4 π R²

          \frac{A}{4\pi }   = R²

Then find the square root of both sides

        √R²  = \sqrt{\frac{A}{4\pi } }  

            R  = \sqrt{\frac{A}{4\pi } }

The solution is \sqrt{\frac{A}{4\pi } }

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An elementary school is offering 3 language classes: one in Spanish, one in French,and one in German. The classes are open to an
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Answer:

A. 0.5

B. 0.32

C. 0.75

Step-by-step explanation:

There are

  • 28 students in the Spanish class,
  • 26 in the French class,
  • 16 in the German class,
  • 12 students that are in both Spanish and French,
  • 4 that are in both Spanish and German,
  • 6 that are in both French and German,
  • 2 students taking all 3 classes.

So,

  • 2 students taking all 3 classes,
  • 6 - 2 = 4 students are in French and German, bu are not in Spanish,
  • 4 - 2 = 2 students are in Spanish and German, but are not in French,
  • 12 - 2 = 10 students are in Spanish and French but are not in German,
  • 16 - 2 - 4 - 2 = 8 students are only in German,
  • 26 - 2 - 4 - 10 = 10 students are only in French,
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In total, there are

2 + 4 + 2 + 10 + 8 + 10 +14 = 50 students.

The classes are open to any of the 100 students in the school, so

100 - 50 = 50 students are not in any of the languages classes.

A. If a student is chosen randomly, the probability that he or she is not in any of the language classes is

\dfrac{50}{100} =0.5

B. If a student is chosen randomly,  the probability that he or she is taking exactly one language class is

\dfrac{8+10+14}{100}=0.32

C. If 2 students are chosen randomly,  the probability that both are not taking any language classes is

0.5\cdot 0.5=0.25

So,  the probability that at least 1 is taking a language class is

1-0.25=0.75

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