The number of outcomes available in Boulder and Sarasota will be 4 and 6. Then the total number of outcomes available in Boulder and Sarasota will be 10.
<h3>What are permutation and combination?</h3>
A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
Angelica is comparing vacation prices in Boulder, Colorado, and Sarasota, Florida. In Boulder, she can choose a 1- or 2-week stay in a 1- or 2-bedroom suite. In Sarasota, she can choose a 1-, 2-, or 3-week stay in a 2- or 3-bedroom suite, on the beach or not.
The number of outcomes is available in Boulder will be
→ 2 x 2
→ 4
The number of outcomes is available in Sarasota will be
→ 3 x 2
→ 6
The number of outcomes is available in Boulder and Sarasota will be
→ 4 + 6
→ 10
More about the permutation and the combination link is given below.
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80 is a good one to start with.
After that, you can move on to 83, 481, 1687, and 102,974,589 .
The ordered pair that is a solution of the system is (-2, 8).
<h3>Which ordered pair is included in the solution set to the following system?</h3>
Here we have the system of inequalities:
y > x² + 3
y < x² - 3x + 2
To check which points are solutions of the system, we can just evaluate both inequalities in the given points and see if they are true.
For example, for the first point (-2, 8) if we evaluate it in the two inequalities we get:
8 > (-2)² + 3 = 7
8 < (-2)² - 3*(-2) + 2 = 12
As we can see, both inequalities are true. So we conclude that (-2, 8) is the solution.
(if you use any other of the 3 points you will see that at least one of the inequalities becomes false).
If you want to learn more about inequalities:
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I don’t know I’m only in 7th grade but 56
Write 2/625 and then multiply the result by 100%: 200%/625 can be re-written as 8% / 25 by dividing both 200 and 625 by 25.
8% / 25 can be thought of as "eight twenty-fifths of 1 percent. (ANSWER)
Using my calculator, I found that 2/625 is 0.0032. Mult. that by 100% results in 0.32. Note that 8/25 = 0.32.
