a math class has 12 female students. Out of a total of 20 students in class what is the probability of randomly selecting a male
2 answers:
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Given:
The function is:
The graphs of functions and
.
To find:
The function .
Solution:
We have,
The function is vertically compresses to get the graph of the function
. So, the function
is:
...(i)
From the given graph it is clear that the graph of the function passes through the point (3,3). So, putting
and
in the above function, we get
Putting in (i), we get
Therefore, the correct option is D.
Answer:
0.1 or 1/10
Step-by-step explanation:
The digits 4, 5, 6, 7 and 8 are randomly arranged to form a three digit number, where the digits are not repeated.
This is question of permutation.
Imagine this sum as; there are 3 boxes(blank spaces for digits) and 5 different fruits(digits) are to be put in these boxes, where a box can hold a maximum of only 1 fruit. The number of such permutations are: ⁵P₃
By formula (a! is factorial a):
ᵃPₙ
⁵P₃
⁵P₃
⁵P₃
⁵P₃= 60
This is the total count of possible numbers that can be formed.
Now, for a number to be greater than 800 and even; first digit should necessarily be 8. Last digit can be 4 or 6. Using these conditions, there are 6 possibilities. 854, 864, 874, 846, 856, 876 are the numbers.
The probability that number is even and greater than 800 is: