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
In this question , we have to find, which option represents inverse functions.
Let's check out option b
Let it be y
So we have
Switching x and y and solving for y,
Performing cross multiplication
Combining like terms
Which is same as of the other function.
So correct option is b .
Answer:
x=7
Step-by-step explanation:
2(x+5)=24
2(x)+2(5) =24
2x +10=24
- 10 -10
2x=14
2x/2x 14/2x
x=7
Hope this helps :)
The equation of the circumference of a circle in terms of 
is 
or 
.
The circumference for a circle with diameter 10 is 
.
The circumference for a circle with diameter 19 is 
.
The circumference for a circle with diameter 30 is 
.
The circumference for a circle with diameter 16 is 
.
Relatively easy, right?
The equation of the area of a circle in terms of is 
.
The area of a circle with radius 5 is 
.
The area of a circle with radius 9.5 is 
.
The area of a circle with radius 15 is 
.
The area of a circle with radius 8 is 
.
Hope this helped!
(By the way, I don't know why you're using hard formulas for trying to find the radius or diameter. The diameter is simply twice the radius, and the radius is simply half the diameter.)
