The sum of three natural numbers is 720. The second number is 2 times larger than the first and 105 smaller than the third numbe
r.what is the difference between the largest number and the smallest number?
1 answer:
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Answer:
a) 504
b) 56
c) 0.111
Step-by-step explanation:
Data provided in the question:
There are nine golf balls numbered from 1 to 9 in a bag
Three balls are randomly selected without replacement
a) 3-digit numbers that can be formed
=
n = 9
r = 3
= ⁹P₃
=
= 9 × 8 × 7
= 504
b) 3-digit numbers start with the digit 1
= _ _ _
in the above 3 blanks first digit is fixed i.e 1
we and we have 8 choices left for the last 2 digits
Thus,
n = 8
r = 2
Therefore,
= 1 × ⁸P₂
= 1 ×
= 1 × 8 × 7
= 56
c) Probability that the 3-digit number formed is less than 200
Now,
The number of 3-digit number formed is less than 200 will be the 3-digit numbers start with the digit 1 i.e part b)
and total 3-digit numbers that can be formed is part a)
therefore,
Probability that the 3-digit number formed is less than 200
= 56 ÷ 504
= 0.111
Answer:
25.047 or roughly 25.
Step-by-step explanation:
I solved it wrong the first time then i double check with wolframalpha and got the correct number.
We know that the area of the tile is 18 and it makes a triangle, we also know the base and height. In this case the base is 2
and the height is also given which is
.
Area of triangle = ,
substituting we will end up with 18 =( 2
*
) / 2
Here is the tricky part , i totally forgot about that lol.
Simplifying: we will get 18 =
Now, in order to find the x, we will need to take the log of both sides.
Solving for x we end up getting:
= x
where x = 25.047.
To be honest I deserve a nobel prize not a brainliest lol.
Good question bro, take it easy.