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LenKa [72]
3 years ago
12

The student council has 10 members where 5 of the members are Seniors. They need to choose a President, Vice President, Secretar

y and Treasurer. If the members are randomly assigned to the positions, what is the probability that the President is a Senior?
Mathematics
1 answer:
natima [27]3 years ago
8 0

Answer:

P=1/42.

Step-by-step explanation:

We know that the student council has 10 members where 5 of the members are Seniors. They need to choose a President, Vice President, Secretary and Treasurer. We calculate the probability that the President is a Senior:

We calculate the number of possible combinations:

C_4^{10}=\frac{10!}{4!(10-4)!}=210

Number of favorable combinations is 5.

Threfore, the probability is

P=5/210

P=1/42.

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At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of mi
tangare [24]

Answer:

The price for a small glass of milk is $0.95, and the price for a breakfast taco is $1.15.

Step-by-step explanation:

Let the price of a taco be x and the price for a small glass of milk be y.

x + y = 2.1

2x + 3y = 5.15

Multiply the first equation by 2:

2x + 2y = 4.2

Subtract the new third equation from the second equation:

(2x + 3y) - (2x + 2y) = 5.15 - 4.2

y = 0.95

Hence, the price for a small glass of milk is $0.95.

Substitute y into the first equation.

x + 0.95 = 2.1

x = 1.15

Therefore, the price for a breakfast taco is $1.15.

Hope this helped!

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3 years ago
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3 years ago
A cafe offers senior citizens a 15% discount off its regular price of $8.95 for the dinner buffet.
jonny [76]

a) 75 percent of the regular price is the price for senior citizens.

b) $6.712 is the price for senior citizens.

<u>Step-by-step explanation</u>:

  • The regular price is the 100% = $8.95
  • The offer price for senior citizen = 15% discount from 100%

∴ Percent of the regular price for senior citizens = 100% - 15% = 75%

The price for the senior citizens = 75% of $8.95

⇒ (75/100)\times8.95

⇒ 0.75\times8.95

⇒ 6.712 dollars.

∴ The price for senior citizens = $6.712

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3 years ago
Express in simplest a+bi form: Square root of 1b + Square root of -1b
Nimfa-mama [501]

Express in simplest a+bi form: Square root of 1b + Square root of -1b

\sqrt{1b} + \sqrt{-1b}

Lets simplify \sqrt{-b}

We know \sqrt{-1} = i

\sqrt{-b} =i\sqrt{b)

We cannot simplify \sqrt{1b}

\sqrt{1b} + \sqrt{-1b}

\sqrt{1b} + i\sqrt{b}

So a + ib form is \sqrt{1b} + i\sqrt{b}


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