Answer:
1.2850
Step-by-step explanation:
Using the change of base formula,
Log 10 to base 6 = Log 10 ÷ Log 6
Log 10 = 1
Log 6 = 0.7782
Log 10 ÷ Log 6 = 1 ÷ 0.7782 = 1.2850
The probability that more than 5 students will pass their exam is 0.0188416.
<h3>How to find the probability?</h3>
The probability that a student passes their examination = 40% = 0.4
The probability that more than 5 students pass their statistics exam = Probability that 6 students pass their exam + Probability that 7 students pass their exam
The probability that 6 students pass their exam =

The probability that 7 students pass their exam =

The probability that more than 5 students pass their statistics exam = 0.0172032 + 0.0016384
= 0.0188416
Therefore, we have found the probability that more than 5 students will pass their exam to be 0.0188416.
Learn more about probability here: brainly.com/question/24756209
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Answer:

Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of triangle plus the area of semicircle
so

we have

Find the height of the right triangle applying the Pythagorean Theorem


The radius of the semicircle is half the height of triangle

substitute in the formula


C. 14.40 is greater than 14.04