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4 years ago

a highschool computer club has 15 members . how many different ways can they choose a president and vice president

1 answer:

3 0

Answer=210 ways

Okay. I'm not entirely sure this is the BEST way to solve for this answer, but nonetheless, I'll show how I would solve the equation.

First, lets look at the probability of the two options happening. The probability of one of the 15 members becoming president is 1/15. Then, since one student is already being used for the spot of president, the odds of another student becoming vice president is 1/14.

$\frac{1}{15} * \frac{1}{14} = \frac{1}{210}$

From this, we know that there are 210 options for the positions of president and vice president total (since 210 represents the whole).

So they can choose the president and vice president 210 different ways

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Which of the following best represents the average speed of a fast runner?

Tpy6a [65]

For the answer to the question above, the easiest way to determine is changing every runner's speed into the same unit.

First = 10 m/s 

Second = 10 miles/min = 16090.34 / 60 m/s (As 1 mile = 1609.34 meter and 1 min = 60 sec) 
Second = 260.82 m/s 

Third = 10 cm/hr = 10*(0.01)/60*60 (As 1 cm = 0.01 m and 1 hr = 60*60 sec) 
Third = 0.000028 m/s 

Fourth = 10 km/sec = 10*1000 m/s (As 1 km = 1000 m and time is already in sec) 
Fourth = 10000 m/s 

So fastest would be the one who covers the largest distance in 1 sec. It would be the fourth one.

3 0

3 years ago

Read 2 more answers

An experiment consists of ranomly drawing three cards in succession without replacement from a standard deck of 52 cards. Let A

nadya68 [22]

Answer:

0.0045248 ;

0.1312218 ;

0.0001809 ;

0.1659729

Step-by-step explanation:

Number of Kings in deck = 4

Total number of cards in deck = 52

Picking without replacement :

A = King on first draw :

P(A) = 4 / 52

A = King on 2nd draw :

P(B) = 3 / 51

A = King on 3rd draw :

P(C) = 2 / 50

1.) P(A n B) = P(A) * P(B)

P(A n B) = 4/52 * 3/51 = 12 / 2652 = 0.0045248

2.) P(A u B) = P(A) + P(B) - P(AnB)

P(AuB) = 4/52 + 3/51 - 0.0045248 = 0.1312218

3.) P(A ∩ B ∩ C) = P(A) * P(B) * P(C)

P(A ∩ B ∩ C) = 4/52 * 3/51 * 2/50 = 0.0001809

4.) P(A U B U C) =

P(A) + P(B) + P(C) - P(AnB) - P(AnC) - P(BnC) - P(AnBnC)

P(AnC) = P(A) * P(C) = 4/52 * 2/50 = 0.0030769

P(BnC) = P(B) * P(C) = 3/51 * 2/50 = 0.0023529

4/52 + 3/51 + 2/50 - 0.0045248 - 0.0030769 - 0.0023529 + 0.0001809 = 0.1659729

6 0

3 years ago

An arithmetic sequence is defined by:a_1=-8a1=−8a_n=a_{n-1}+4an=an−1+4What is the 7th term of the sequence?

oksian1 [2.3K]

Answer:

Step-by-step explanation:

5 0

3 years ago

Marvin has 4 books to read for homework this week if he reads 2/3 of a book each night how many nights will it take him to read

Margarita [4]

Answer:

6 night

PLEASE SAID THANKS

8 0

4 years ago

Read 2 more answers

What is the value of x?

andrey2020 [161]

Answer:

x = 30°.

Step-by-step explanation:

To calculate the value of 'x', we can first derive the value of one of the angles that make up the triangle.

Notice that there is an angle with a measure of 100°. The angle that makes up the angle of the triangle is called a Vertical Angle. Therefore, if the angle in red is 100°, the vertical angle, or the third angle of the triangle, is 100°.

There are two congruent sides to the triangle, as seen by the congruent lines. This means that both of the other two angles must be equal. Find the value of 'x' by:

180 - 100 = 80. Since the value of one angle was 100°, and the angles in a triangle must add up to 180°, you can simply subtract to find the sum of the other two angles.

(x + 10) + (x + 10) = 80

2x + 20 = 80

2x = 60

x = 30°.

7 0

3 years ago

Read 2 more answers