Note: Actually, the division problem should be in reverse order. It should be given as
---------(i)
But according to the given problem (x + 1) / (x² + 3 x + 2).
Here, (x² + 3 x + 2) > (x + 1)
or, (x + 2) > 1
Concept: By using the property of division, if the numerator is less than the denominator then the quotient will always be 0 (zero)
Therefore the option (d) 0 will be the correct option.
The number on the left side of the decimal, write it as a large, in this case, three. The number on the right side of the decimal, write as a small number. Then put a ten under the five, and divide the two with a line. A way to remember this is - Imagine you have 3 cookies. The .5 represents a half of a cookie. You need to have all ten parts of the cookie to make a whole cookie. You'd need 5 more pieces of cookie to make 4 cookies. Hope this helps.
Using the binomial probability relation ; the probability that an head is obtained at least 50 times is 0.0271
<u>Using the binomial probability relation</u> :
- P(x = x) = nCx * p^x * q^(n-x)
- p = probability of success = 0.4
- q = 1 - p = 0.6
- n = number of trials = 100
P(x ≥ 50) = p(x = 50) + p(x = 51) + ...+ p(x = 100)
<u>Using a binomial probability calculator</u> :
P(x ≥ 100) = 0.0271
Therefore, the probability that atleast 50 heads are obtained in the trial is 0.0271
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Add 7 to both sides : -6 = v
Answer is 5 hours
Explained
I divided 17,700 by 60 seconds to get minutes
Then I divided by 60 minutes to get hours
4.916 hours rounded to 5 hours