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CaHeK987 [17]
3 years ago
9

In a group of 21 students, 8 students take Art courses, 7 students take Music courses. Two students take both courses. A student

is chosen randomly from this group. What is the probability that the student takes both Art or Music courses?
13/21


8/21


2/7


5/7
Mathematics
2 answers:
Grace [21]3 years ago
7 0

Answer:

13/21

Step-by-step explanation:

8/21 + 7/21 -2/21 = 13/21

You would do the minus two since two students take both.

allochka39001 [22]3 years ago
5 0
I think it is 5/6 because you would have to choose a small amount
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1 year ago
5 rational and irrational numbers in decimal form
alexira [117]

Answer:

A rational number is a number that can be expressed as a fraction (ratio). This includes whole numbers, square roots that can be solved evenly, negatives, decimals, and repeating decimals that can be solved with a fraction.

  1. \frac{1}{2}   ↔  .5
  2. 5  ↔ 5.0
  3. \sqrt{4} ↔ 2.0
  4. -13  ↔  -13.0
  5. 0.38462... (\frac{5}{13})

An irrational number is a number that is NOT rational. It's the complete opposite!

  1. π  ↔  3.14159
  2. .13133133...
  3. \frac{\sqrt{3} }{2}   ↔  0.86603...
  4. -\sqrt{5}  ↔  -2.23607...
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Hope this helps!!!

3 0
3 years ago
A girl walked 3000 feet. What is the distance in meters?
Sophie [7]
3000ft will equal 914.4 in meters
7 0
3 years ago
Use the mid-point rule with n = 4 to approximate the area of the region bounded by y = x3 and y = x. (10 points)
USPshnik [31]
See the graph attached.

The midpoint rule states that you can calculate the area under a curve by using the formula:
M_{n} = \frac{b - a}{2} [ f(\frac{x_{0} + x_{1} }{2}) +  f(\frac{x_{1} + x_{2} }{2}) + ... +  f(\frac{x_{n-1} + x_{n} }{2})]

In your case:
a = 0
b = 1
n = 4
x₀ = 0
x₁ = 1/4
x₂ = 1/2
x₃ = 3/4
x₄ = 1

Therefore, you'll have:
M_{4} = \frac{1 - 0}{4} [ f(\frac{0 +  \frac{1}{4} }{2}) +  f(\frac{ \frac{1}{4} + \frac{1}{2} }{2}) +  f(\frac{\frac{1}{2} + \frac{3}{4} }{2}) + f(\frac{\frac{3}{4} + 1} {2})]
M_{4} = \frac{1}{4} [ f(\frac{1}{8}) +  f(\frac{3}{8}) +  f(\frac{5}{8}) + f(\frac{7}{8})]

Now, to evaluate your f(x), you need to look at the graph and notice that:
f(x) = x - x³

Therefore:
M_{4} = \frac{1}{4} [(\frac{1}{8} - (\frac{1}{8})^{3}) + (\frac{3}{8} - (\frac{3}{8})^{3}) + (\frac{5}{8} - (\frac{5}{8})^{3}) + (\frac{7}{8} - (\frac{7}{8})^{3})]

M_{4} = \frac{1}{4} [(\frac{1}{8} - \frac{1}{512}) + (\frac{3}{8} - \frac{27}{512}) + (\frac{5}{8} - \frac{125}{512}) + (\frac{7}{8} - \frac{343}{512})]

M₄ = 1/4 · (2 - 478/512)
     = 0.2666

Hence, the <span>area of the region bounded by y = x³ and y = x</span> is approximately 0.267 square units.

6 0
3 years ago
Expressions are shown below
Dahasolnce [82]

Answer:

9

Step-by-step explanation:

3 0
2 years ago
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