Answer:
A. 282
Step-by-step explanation:
A trick I know is if you add all the digits of the number and they add up to a multiple of 3, it is divisible by 3.
282:
2 + 8 + 2 = 12
187:
1 + 8 + 7 = 16
385:
3 + 8 + 5 = 16
412:
4 + 1 + 2 = 7
All of the numbers in the sequence are being divided by 6. To complete it, we will divide 96 by 6.
96 ÷ 6 = 16
The answer is 16.
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.
84/2 = 42
42/2 = 21
21/3 = 7
7/7 = 1
84 = 2^2 * 3 * 7
Given: Triangle JKL is dilated from the origin at a scale factor of 10 to create triangle J′K′L′.
Required: Correct option that complete the statement.
Explanation:
Now, triangle is dilated from the origin at a scale factor of 10.
So, the sides will become larger, but angles will remain the same.
Hence, the triangles will be similar as sides will be in proption (SSS rule).
So, The triangles are similar because their corresponding sides are proptional and their corresponding angles are congurent.
Final Answer: Second group is correct answer.
