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
2, the answer is 2, otherwise spelled as two
Answer:
kjj ,mStep-by-step explanation:
Answer:
x = 5
, y = 0
Step-by-step explanation by elimination:
Solve the following system:
{-6 x - 8 y = -30 | (equation 1)
4 x + 2 y = 20 | (equation 2)
Add 2/3 × (equation 1) to equation 2:
{-(6 x) - 8 y = -30 | (equation 1)
0 x - (10 y)/3 = 0 | (equation 2)
Divide equation 1 by -2:
{3 x + 4 y = 15 | (equation 1)
0 x - (10 y)/3 = 0 | (equation 2)
Multiply equation 2 by 3/10:
{3 x + 4 y = 15 | (equation 1)
0 x - y = 0 | (equation 2)
Multiply equation 2 by -1:
{3 x + 4 y = 15 | (equation 1)
0 x+y = 0 | (equation 2)
Subtract 4 × (equation 2) from equation 1:
{3 x+0 y = 15 | (equation 1)
0 x+y = 0 | (equation 2)
Divide equation 1 by 3:
{x+0 y = 5 | (equation 1)
0 x+y = 0 | (equation 2)
Collect results:
Answer: {x = 5
, y = 0
Answer: -2x+14
Step-by-step explanation: use the distributive property. -2 times x and -2 times -7. -2x+14
