Answer:
number of ways = 720
Step-by-step explanation:
The number of ways six people sit in a six-passenger car is given by the number of permutations of 6 elements in 6 different positions ( seats), then
number of ways = number of permutations of 6 elements = 6! = 6 * 5 * 4 *3 * 2 * 1 = 720
Since the first person that sits can be on any of the seats , but then the second person that sits can choose any of 5 seats (since the first person had already occupied one) , the third can choose 4 ... and so on.
Answer:
57.1%
Step-by-step explanation:
We know that a coin has only two sides, heads or tails. Therefore if of the 84 times, 36 times he fell in heads, the other times he fell in tails.
84 - 36 = 48 times fell in tails.
Therefore to calculate the percentage that fell in tails, it would be the ratio between the number of times it fell in tails and the total number of experiments:
48/84 = 0.571, and that is 57.1%
Which means that 57.1% of the times the coin was thrown fell into tails.
The answer is the letter A
Answer:
Let's create this right triangle. We will call it triangle ABC with angle B as the right angle, angle A being the larger of the angles A and C. If the ratio is 5:4, then it is A:C. 5+4 = 9. The measure of the right angle, angle ABC = 90, and 90 divided by 9 is 10. So angle A is 5 * 10 which is 50 degrees, and angle C is 4 * 10 which is 40 degrees. The smallest angle, angle C, is 40 degrees.
Step-by-step explanation:
Sum of interior angles in a triangle = 180
so
2y + y+10 + 50 = 180
3y + 60 = 180
3y = 120
y = 40
Answer is A. 40
