How often are the hands of the clock at right angle everyday?
2 answers:
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Answer:
0.0139
Step-by-step explanation:
Given that in a test for extrasensory perception, the experimenter looks at cards containing either a star, circle, wave, or square. (The subject cannot see the cards.)
Probability for guessing a correct shape out of 4 shapes = 0.25
Each trial is independent of the other
Hence X no of correct guesses is binomial with n = number of cards = 20 and p = constant probability =0.25
the probability a subject correctly guesses at least 10 of the 20 shapes
=, where F represents the cumulative probability upto 9
= 0.0139
The number of rows in the arena is 26
<h3>How to determine the number of rows?</h3>The hockey arena illustrates an arithmetic sequence, and it has the following parameters:
- First term, a = 220
- Sum of terms, Sn = 10920
- Common difference, d = 16
The number of rows (i.e. the number of terms) is calculated using:
So,we have:
Evaluate the terms and factors
Evaluate the like terms
21840 = n(424+ 16n)
Expand
21840 = 424n + 16n^2
Rewrite as:
16n^2 + 424n - 21840 = 0
Using a graphical tool, we have:
n = 26
Hence, the number of rows in the arena is 26
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