Answer:
if we have the point (x, y), a reflection over the x-axis give us the point (x, -y)
if we have the point (x, y), a reflection over the y-axis give us the point (-x, y)
if we have the point (x, y), a reflection across both axes give us the point (-x, -y)
1. (2, -3) → (-2, -3) ------- reflection across the y-axis
2. (2, -3) → (-3, 2) -------- not a reflection
3. (2, -3) → (-2, 3) ------ reflection across both axes
4. (2, -3) → (2, 3) ----- reflection across the x-axis
Answer:If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is 1/6.
If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is 3/6 = 1/2
Step-by-step explanation:For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".
Answer:
The square root of 67 is less than the whole number of 9
Step-by-step explanation:
8 squared is 64
9 squared is 81
67 is in between them
Answer: $1500.00
Step-by-step explanation:
The answer to this equation will be 359
