Answer:
- 5/6 is the answer
Step-by-step explanation:
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:
-1+3i
Step-by-step explanation:
Sqr root of 25 and 36 are 5 and 6 respectively
Sqr root of -25 and -4 are 5i and 2i respectively
Combine like with like
5-6=-1
5i-2i=3i
-1+3i
Answer:
Unit rate is 3 ounce of water per ounce of mix
Step-by-step explanation:
you combine 12 ounces of mix with 36 ounces of water.
12 ounces of mix for 36 ounces of water
For unit we need to find the ounces of water for 1 ounce of mix
12 ounces of mix for 36 ounces of water
so 1 ounces of mix for 36 / 12 = 3 ounces of water
3 ounces of water for 1 ounce of mix
Hence, 3 ounces of water per ounce of juice
A fisherman travels downstream at full speed to his favorite fishing spot.
<span>The stream is running at a rate of 5 miles per hour, and he takes an hour to get to the fishing hole. </span>
<span>He catches 5 fish and calls it a day. </span>
<span>He takes twice as long at full speed to get back to the dock going against the current. </span>
<span>(x + 5)/(x - 5) = 2 </span>
<span>x = 15
</span><span>The full speed of the fishing boat is 15 miles per hour.</span>
