Answer:
Step-by-step explanation:
3/5 = 0.6
1 - 0.6 = 0.4 students left
Multiply the amount of students remaining by the fractional amount that take German
0.4 x 1/4 = 0.1
1 - 0.6 - 0.1 = 0.3
0.3 x 100 = 30%
Therefore 30% of students take French
To find this answer, we subtract each of the like terms in the equation. 3x and 3x are like terms, -4y and 2y are like terms, and 7 and -5 are like terms. Now we subtract. 3x - 3x is 0, -4y - 2y is -6y, and 7 - (-5) is 12. That means that the result is -6y = 12, or B.
Answer:
E. None of the above
Step-by-step explanation:
Arc length = radius • angle in radians
30 deg = 0.523599 rad
L = 12 • 0.523599 = 6.28319
2π = 6.28319
Answer is E. None of the above
Answer:
The expected value of this game is -$0.26.
Step-by-step explanation:
Expected value:
Each possible earning/loss multiplied by it's probability.
Probability:
Number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the numbers are chosen is not important. So we use the combinations formula to solve.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Probability of winning:
Desired outcomes:
The 6 correct numbers, so 
Total outcomes:
6 numbers from a set of 21. So
Probability:
Expected value
probability of earning 40,000.
probability of losing 1. So
The expected value of this game is -$0.26.
Answer:
Step-by-step explanation:
Cost of one ticket = $ 5
Cost of 'n' tickets = 5 * n = 5n
c = 5n
