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diamong [38]
3 years ago
14

A small class has 10 students, 3 of whom are girls and 7 of whom are boys. The teacher is going to choose two of the students at

random. What is the probability that the teacher will choose two boys? Write your answer as a fraction in simplest form.
Mathematics
2 answers:
iren2701 [21]3 years ago
5 0
The probability that the teacher will choose a boy at random the first time is 7/10. After the first boy is picked, that leaves 9 people remaining, 3 girls and 6 boys, giving us a chance that a boy will be picked 6/9, or 2/3 of the time. We can multiply these fractions to give us the final chance two boys will be picked. 7/10 x 2/3 = 7/15 in simplest form.  The teacher will choose two boys 7/15 of the time.
ss7ja [257]3 years ago
3 0
Hi! Your answer is 7/15. Hoped I helped!
-Dawn
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aliya0001 [1]

Answer:

The domain is (-∞ , 0)∪(0 , ∞) OR The domain is {x : x ≠ 0}

Step-by-step explanation:

* Lets revise the composite function

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- A composite function is created when one function is substituted into

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- Ex: f(g(x)) is the composite function that is formed when g(x) is

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- In the composition (f ο g)(x), the domain of f becomes g(x).

* Lets solve the problem

∵ f(x) = 3x and g(x) = 1/x

- In (g o f)(x) we will substitute x in g by f

∴ (g o f)(x) = 1/3x

- The domain of the function is all real values of x which make the

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- In the rational function r(x) = p(x)/q(x) the domain is all real numbers

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∵ (g o f)(x) = 1/3x

∵ 3x = 0 ⇒ divide both side by 3

∴ x = 0

∴ The domain of (g o f)(x) is all real numbers except x = 0

∴ The domain is (-∞ , 0)∪(0 , ∞) OR The domain is {x : x ≠ 0}

6 0
3 years ago
Joakim is icing 30 cupcakes. He spreads mint icing on 1/5 of the cupcakes and chocolate on 1/2 of the remaining cupcakes. The re
yanalaym [24]

Answer: 12 cupcakes have vanilla icing.

Step-by-step explanation:

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Let be "m" the number of cupcakes that have mint icing. Then

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He spreads chocolate on \frac{1}{2} of the remaining. The remaining is:

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Let be "v" the number of cupcakes that have vanilla icing.

Since the rest will get vanilla icing, we know that:

v=12

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3 years ago
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Andreyy89
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