Answer:
95.44%
Step-by-step explanation:
Mean rate (μ) = 160 euros
Standard deviation (σ) = 8 euros
For any given rate, X, the z-score is:
For X = 144 euros:
For X= 176 euros
In a standard distribution, a z-score of -2 corresponds to the 2.28th percentile, while a z-score of 2 corresponds to the 97.72th percentile.
Therefore, the percentage of hotels with rates between 144 and 176 euros is:
The lines of symmetry for all the figures have been determined.
<h3>What is Reflection Symmetry ?</h3>
A symmetry in which one half of the object is symmetrical to thew other half
A square has 4 lines of reflection symmetry , 2 along its sides and 2 along its diagonals
A regular hexagon has 6 reflection symmetry , three along the midpoints of the sides and three along the daigonals
A Trapezium can have 0 or 1 lines of symmetry depending upon the length of the non parallel sides.
An equilateral Triangle has 3 lines of reflection symmetry , an isosceles has 2 lines of symmetry and a scalene triangle has no lines of symmetry.
To know more about Reflection Symmetry
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The probability in all given conditions is 1/4.
According to the statement
Number of coin tossed = 3
Total outcomes = 8
Now, we have to find the probabilities on different conditions.
- Probability of a head on each of the last two tosses
Probability = A head on each of the last two tosses/ total outcomes
Probability = 2/8
Probability = 1/4.
- Probability of alternating tale and head
Probability = alternating tale and head / total outcomes
Probability = 2/8
Probability = 1/4.
- Probability of a no tails on each of the last two tosses
Probability = A No tails on each of the last two tosses/ total outcomes
Probability = 2/8
Probability = 1/4.
So, The probability in all given conditions is 1/4.
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