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
65/5=13-3=10 27-17=10
72/6=12-1=11 54-43=11
88/8=11-2=9 27-18=9
90/3=30-8=22 34-10=24
So, that makes "90 ÷ 3 − 8 _____ 34 − 10" not equal.
Hope this helps! Stay Safe!
A number=x
2x/6=42
2x=252 by multiplying both sides by 6
x=126 by dividing both sides by 2 to isolate the variable
Answer:
log 3(x+4) = log 3 + log (x+4)
Step-by-step explanation:
Because 3(x+4) is a product, log 3(x+4) = log 3 + log (x+4).
Differentiate the given solution:

Now, given that <em>x</em> (<em>π</em>/4) = √2/2 … (I'm assuming there are symbols missing somewhere) … you have



Similarly, given that <em>x'</em> (<em>p</em>/4) = 0, you have



From this result, it follows that

So the particular solution to the DE that satisfies the given conditions is
