A runner is 7/8 mile from the finish line. If she can travel 3/8 mile per minute, how long will it take her to finish the race?
1 answer:
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Option B:
Solution:
In the given figure .
If two triangles are similar, then their corresponding sides and angles are equal.
By CPCTC, in ,
– – – – (1)
– – – – (2)
– – – – (3)
– – – – (4)
– – – – (5)
– – – – (6)
Option A:
By CPCTC proved in equation (2) .
Therefore . Option A is false.
Option B:
By CPCTC proved in equation (1) .
Therefore Option B is true.
Option C:
By CPCTC proved in equation (4) .
Therefore . Option C is false.
Option D:
By CPCTC proved in equation (5) .
Therefore . Option D is false.
Hence Option B is the correct answer.
We are asked to find the probability that a data value in a normal distribution is between a z-score of -1.32 and a z-score of -0.34.
The probability of a data score between two z-scores is given by formula .
Using above formula, we will get:
Now we will use normal distribution table to find probability corresponding to both z-scores as:
Now we will convert into percentage as:
Upon rounding to nearest tenth of percent, we will get:
Therefore, our required probability is 27.4% and option C is the correct choice.