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Lubov Fominskaja [6]
3 years ago
6

At a certain high school, 25 students play only stringed instruments, 15 students play only brass instruments, and 5 students pl

ay both. There are also 5 students who play neither stringed nor brass instruments. What is the probability that a randomly selected student plays both a stringed and brass instrument?
Mathematics
1 answer:
Oksana_A [137]3 years ago
3 0

Answer:

1/10

Step-by-step explanation:

First, let's find the total number of students (25+15+5+5). We don't need to worry about them overlapping, as the questions says "only." We get the total of 50.

Out of the 50 students, there are 5 students that play both instruments. This means that 5 is our numerator and 50 is our denominator, giving us 5/50 or 1/10.

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The issue of corporate tax reform has been cause for much debate in the United States. Among those in the legislature, 27% are R
Ilia_Sergeevich [38]

Answer:

The probability Democrat is selected given that this member favors some type of corporate tax reform is 0.6309.

Step-by-step explanation:

Let us suppose that,

R = Republicans

D = Democrats

I = Independents.

X = a member favors some type of corporate tax reform.

The information provided is:

P (R) = 0.27

P (D) = 0.56

P (I) = 0.17

P (X|R) = 0.34

P (X|D) = 0.41

P (X|I) = 0.25.

Compute the probability that a randomly selected member favors some type of corporate tax reform as follows:

P(X)=P(X|R)P(R)+P(X|D)P(D)+P(X|I)P(I)\\= (0.34\times0.27)+(0.41\times0.56)+(0.25\times0.17)\\=0.3639

The probability that a randomly selected member favors some type of corporate tax reform is P (X) = 0.3639.

Compute the probability Democrat is selected given that this member favors some type of corporate tax reform as follows:

P(D|X)=\frac{P(X|D)P(D)}{P(X)} =\frac{0.41\times0.56}{0.3639}=0.6309

Thus, the probability Democrat is selected given that this member favors some type of corporate tax reform is 0.6309.

5 0
3 years ago
If f(x) = 2x ^ 2 - 5 and g(x) = x ^ 2 - 4x - 8 find (f - g)(x)
choli [55]

Answer:  (f-g)(x) is equivalent to f(x) - g(x)

So that would be (2x²-5) - (x²-4x-8) = 2x² - x² + 4x + 8 - 5 = x² + 4x + 3

Hope this helps.

5 0
2 years ago
A candy company can make 350 pounds of chocolate and 6 hours how much can they make in 10 hours
Andrew [12]

350 ÷ 6 = 58.33

58.33 pounds of chocolate per hour

58.33 × 10 = 583.3

583.33 pounds of chocolate in 10 hours

8 0
3 years ago
Read 2 more answers
Which of the following expressions are equivalent to \dfrac{-10}{3}
andreyandreev [35.5K]

Answer:

B

Step-by-step explanation:

I don't know how to explain it, but I hope I got it right and that it helped you.

7 0
2 years ago
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6. Jefferson purchased a jacket originally priced at $129 on sale for $90.30. What
scoundrel [369]
I believe the answer is c
7 0
3 years ago
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