Answer:
The correct answer is C
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
- - 6/5x = -30 ⇒ multiply both sides by -1
- 6/5x = 30 ⇒ multiply both sides by 5
- 6x = 5*30
- x = 150/6 ⇒ divide both sides by 6
- x = 25 ⇒ answer
Answer:
25% of students voted for the athlete
Step-by-step explanation:
First you need to know how many students are in total. In this case there is 60, 15+45
Then you write it as a fraction

because 15 voted for athlete out of the 60 students.
After this you need to divide 15÷60 which is . 25 then you transform that number into a percent which is 25%
Answer:

Step-by-step explanation:
We know that:
In a deck of 52 cards there are 4 aces.
Therefore the probability of obtaining an ace is:
P (x) = 4/52
The probability of not getting an ace is:
P ('x) = 1-4 / 52
P ('x) = 48/52
In this problem the number of aces obtained when extracting cards from the deck is a discrete random variable.
For a discrete random variable V, the expected value is defined as:

Where V is the value that the random variable can take and P (V) is the probability that it takes that value.
We have the following equation for the expected value:

In this problem the variable V can take the value V = 9 if an ace of the deck is obtained, with probability of 4/52, and can take the value V = -1 if an ace of the deck is not obtained, with a probability of 48 / 52
Therefore, expected value for V, the number of points obtained in the game is:

So:
