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
The GCF of 33c and 55cd is
33c/11c = 3
55cd/11c = 5d
the greatest common factor is 11c
hope this helps
Answer: 1/7
Step-by-step explanation: There are 7 days in a week. Hope this helps! ~Autumn~
Answer:
The correct answer is B. The rate of 7% compounded quarterly is better.
Step-by-step explanation:
In the case of investment at 7% compounded quarterly, the final result after 4 years of investment arises from the following calculation:
X = 7000 x (1 + 0.7 / 3) 4x3
X = 9,232.16
Therefore, after 4 years of investment, the amount in the account would be $ 9,232.16.
In turn, in the case of the investment at 6.85% compounded monthly, the final result after the same investment period arises from the following calculation:
X = 7000 x (1 + 0.685 / 12) 4x12
X = 9,199.33
Thus, in this case, the amount in the account after 4 years of investment would be $ 9,199.33.
The point-slope form:
We have the slope m = 3 and the point (-1, 5). Substitute:
<em>use distributive property</em>
<em>add 5 to both sides</em>
- slope-intercept form
