18. If f(x)=[xsin πx] {where [x] denotes greatest integer function}, then f(x) is:
since x denotes the greatest integers which could the negative or the positive values, also x has a domain of all real numbers, and has no discontinuous point, then x is continuous in (-1,0).
Answer: B]
20. Given that g(x)=1/(x^2+x-1) and f(x)=1/(x-3), then to evaluate the discontinuous point in g(f(x)) we consider the denominator of g(x) and f(x). g(x) has no discontinuous point while f(x) is continuous at all points but x=3. Hence we shall say that g(f(x)) will also be discontinuous at x=3. Hence the answer is:
C] 3
21. Given that f(x)=[tan² x] where [.] is greatest integer function, from this we can see that tan x is continuous at all points apart from the point 180x+90, where x=0,1,2,3....
This implies that since some points are not continuous, then the limit does not exist.
Answer is:
A]
Answer:
Mean = 3.4
Variance = 1.088
Standard deviation = 1.0431
Step-by-step explanation:
The mean of a binomial distribution with parameters N (the number of trials) and p (the probability of success for each trial) is 
Thus,
The variance of the binomial distribution is 
, where 
is the variance of the binomial distribution, so
The standard deviation 
is the square root of the variance 
so
The area of the trapezoid is given by:
A = (1/2) * (b1 + b2) * (h)
Where,
b1, b2: bases of the trapezoid
h: height
Substituting values we have:
91 = (1/2) * ((2 * 7) + b2) * (7)
Rewriting we have:
91 = (1/2) * (14 + b2) * (7)
(2/7) * 91 = 14 + b2
b2 = (2/7) * 91 - 14
b2 = 12 m
Answer:
The measure of the other base of the trapezoid is:
b2 = 12 m
Answer:
No solution
Step-by-step explanation:
idek
Answer:
They are equal
Step-by-step explanation:
When comparing ratios, we simply want to find out if the numbers are greater than, less than, or equal to each other. We have 4:5 and 16:20.
To find out the comparison;
Step 1: We find the LCM of the denominators ie 5 and 20, which is 20
Step 2: We divide the LCM by both sides, like this: 20÷5=4 and 20÷20=1.
Step 3: Now, multiply each ratio by the result of its individual denominator division ie
Step 4: Convert back to ratio form, we have: 16:20 and 16:20
From the above ratios, we have found out that 4:5 and 16:20 are equal when compared.
I hope this helps.
