The line that maps a figure onto itself is a line of symmetry of the figure.
From the given trapezoid, the line of symmetry of the trapezoid is x = -2.
Therefore, the <span>equation for the line of reflection that maps the trapezoid onto itself</span> is x = -2.
Answer:
Domain: [0,infinity)
Range: [0,infinity)
X-intercept: (0,0)
Y-intercept: (0,0)
Step-by-step explanation:
Answer:
The probability that next selection is yellow marble = 63%
.
Step-by-step explanation:
Given the selection of yellow marbles = 41 times.
The selection of white marble = 24 times.
Total number of selections made = 65
Now calculate the probability that the next selection will be the yellow marble. Therefore, the probability of getting yellow marble can be determined by dividing the yellow selection by total number of selections.
![\text{P(yellow)} = \frac{ \text{The selection of yellow marbles} }{ \text{ Total number of slections }} \\\text{P(yellow)} = \frac{41}{65} = 0.63 \ or \ 63 \ percent](https://tex.z-dn.net/?f=%5Ctext%7BP%28yellow%29%7D%20%3D%20%5Cfrac%7B%20%5Ctext%7BThe%20selection%20of%20yellow%20marbles%7D%20%7D%7B%20%5Ctext%7B%20Total%20number%20of%20slections%20%7D%7D%20%5C%5C%5Ctext%7BP%28yellow%29%7D%20%3D%20%5Cfrac%7B41%7D%7B65%7D%20%3D%200.63%20%5C%20or%20%5C%2063%20%5C%20percent)
Answer:
![\large\boxed{\large\boxed{Probability=1/256\approx 0.0039}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Clarge%5Cboxed%7BProbability%3D1%2F256%5Capprox%20%200.0039%7D%7D)
Explanation:
Since, there are two possible outcomes for every toss (head or tail), the sample space for<em> a coin tossed 8 times</em> is 2×2×2×2×2×2×2×2 = 2⁸ = 256.
<em>Landing on heads all 8 times</em> is just one of the possible outcomes: HHHHHHHH ⇒ 1.
Hence, the <em>probability </em>is calculated from its own definition:
Probability = number of favorable outcomes / number of possible outcomes
The probability of getting all heads is 1 / 2^6 = 1/64 as there is only 1 event where this happens in a possible 2^6 = 64 events. It is the same as the probability of getting all tails. The probability of getting at least 1 head is 1 - p(all tails) = 63/64.