Answer
up 5 left 3
Step-by-step explanation:
Answer:
-8.5 is a rational number
Step-by-step explanation:
The whole numbers are all the numbers you can reach if you start at 1 (or 0, if that's your thing) and count forward - 1, 2, 3, 4, on and on forever. The integers are all the numbers we can get by adding and subtracting two whole numbers - this includes situations like 3 - 4, where we're "taking away" more than we have: we simply invent numbers less than zero, the negatives, and that gives 3 - 4 a value - the number -1.
So we can add, subtract and multiply any of these numbers together and we end up somewhere else our world of integers, but the moment we want to ask a question like "what numbers are between 0 and 1?" the integers just aren't enough. We need fractions, and for that purpose we create the rational numbers, which include all the fractional parts between integers, as well as the integers themselves.
-8.5 is halfway between the integers -8 and -9, and since it has a fractional part, it must be a rational number.
Answer:
1. 9 < s < 17
2. 5 < MN < 19
3. AD > BD
Step-by-step explanation:
1. The triangle inequality tells you the sum of any two sides of a triangle must exceed the length of the other side. (Some versions say, "must be not less than ..." rather than "must exceed.") In practice, this means two things:
- the sum of the shortest two sides is greater than the length of the longest side
- the length of any side lies between the sum and the difference of the other two sides
Here, we can use the latter fact to write the desired inequality. The difference of the given sides is 13 -4 = 9; their sum is 13 +4 = 17. The third side must lie between 9 and 17. If that side length is designated "s", then ...
9 < s < 17
(If you don't mind a "triangle" that looks like a line segment, you can use ≤ instead of <.)
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2. Same as (1) using different numbers.
12 -7 < MN < 12 +7
5 < MN < 19
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3. Side CD is congruent to itself, and side CA is shown congruent to side CB. This means the requirements of the Hinge Theorem are met. That theorem tells you the longer side is opposite the greater angle:
AD > BD
The given scenario falls under the category of conditional probability. There are a total of 56 people in the fishing group described above. The probability that the a person caught a fish and fished from a boat is 24/56. The probability that he fished from a boat is (24+11)/56. For the conditional probability in this item is,
P = (24/56) / ((24+11)/56) = 24/35 = 0.69
