How much should be added to the sum of 25 1/6 and 7 2/5 to get 60?
2 answers:
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Let be the random variable for the number of marks a given student receives on the exam.
10% of students obtain more than 75 marks, so
where follows a standard normal distribution. The critical value for an upper-tail probability of 10% is
where denotes the CDF of
, and
denotes the inverse CDF. We have
Similarly, because 20% of students obtain less than 40 marks, we have
so that
Then are such that
and we find
The correct answer is option B which is .
Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
Given that:-
The value of cot theta will be calculated as:-
We know that sec theta is the ratio of hypotenuse and base and cot theta is the ratio of base and perpendicular so we will find the value of perpendicular by applying the Pythagorean theorem.
H² = P² + B²
P² = H² - B²
P² = 25² - 24 ² = 49
P = √49 = 7
Now the value of cot theta will be calculated as:-
Therefore the correct answer is option B which is .
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