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:
9
Step-by-step explanation:
3/4 = x/12
Cross-multiply: 36 = 4x
x = 9
Answer:
3.125 g/cm³.
Step-by-step explanation:
The formula for density/mass/volume is d = m/v, where d is density in grams per cm cubed, m is in grams, and v is in cm cubed.
In this case, m = 25 and v = 8.0.
d = 25 / 8.0
d = 25 / 8
d = 3.125.
So, the density of the object is 3.125 g/cm cubed.
Hope this helps!
Give better description if they are both identical
Answer:
y = 10x + 6.
Step-by-step explanation:
y = mx + c
Here the slope m = 10 and c = 6 ( the y-intercept)
It's 6 because the point (0, 6) lies on the y-axis (where x = 0).