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:
Answer:
A. f(-3) < g(-3)
Step-by-step explanation:
Evaluating f(-3), you get ...
f(-3) = -(-3)^2 +4 = -9 +4 = -5
Looking up g(-3) in the table, you get ...
g(-3) = 1
Comparing these values, you find
f(-3) vs. g(-3) . . . is . . . -5 vs. 1
The true comparison is ...
-5 < 1
So, f(-3) < g(-3).
Answer:
If 3 + 4 ≠ 6, then 2 · 5 = 10.
Step-by-step explanation:
To form the contrapositive of the conditional statement, interchange the hypothesis and the conclusion of the inverse statement. The contrapositive of "If it rains, then they cancel school" is "If they do not cancel school, then it does not rain." If p , then q .
I can see why you need help. I don't quite understand what the question is, but both options are factually correct