The value of x that makes lines a and b parallel is 76°.
This is because when two parallel lines are cut by a
transversal, the alternate angles formed by the transversal are equal. In the
figure below, the angle x is an alternative interior angle to the angle
measured 76°, so they are equal. That is, x = 76° (provided that line a is parallel to line b)
ANSWER:
Let no of rides be x.
So, According to question
2.5x + 5 = 50
2.5(x + 2) = 50
x + 2 = 50/2.5
x + 2 = 20
x = 18 rides.
<h3>Answer: 13</h3>
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Explanation:
The best case scenario is that you get 3 of the same color in a row on the first three attempts. The lower bound is 3.
However, we have to consider the worst case scenario when we want to guarantee something like this, without looking at the candies we selected.
Consider the case of something like this sequence:
- black
- white
- green
- red
- blue
- yellow
- black
- white
- green
- red
- blue
- yellow
- black
As you can see above, I've listed the colors in the order presented by your teacher. I pick one candy at a time. Once I reach yellow, I restart the cycle. In slots 1, 7 and 13, we have a black candy selected. This example shows that we must make 13 selections to guarantee that we get at least 3 candies of the same color (that color being black). The order of the candies selected doesn't matter. We could easily use any other color except yellow to do this example. The black candy just happened to be the first listed, so I went with that.
Note how we have 6 unique colors in the set {black, white, green, red, blue, yellow}. If we pick 2 candies of each color, then we've selected 6*2 = 12 candies so far. That 13th candy (some color other than yellow) is guaranteed to be a color we already selected; therefore, we'll be guaranteed to have 3 of the same color. We won't know what color it is but we will know we have a match like this.
For more information, check out the Pigeonhole Principle.
1. To find the mean absolute deviation of the data, start by finding the mean of the data set.
2. Find the sum of the data values, and divide the sum by the number of data values.
3.Find the absolute value of the difference between each data value and the mean: ...
4. <span>Find the sum of the absolute values of the differences.</span>
B), A),D), and I dontknow how to answer the last one
