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:
$30.72
Step-by-step explanation:
You were right with your answer, the teacher is probably just wanting you to tip on the subtotal (before tax) instead of the total total. Instead of doing total+tax+tip, we're going to figure out the tax and tip separately and then add it all together.
<u>Tipping on the subtotal (what your teacher wanted)</u>
20% of $24 = $4.80
8% of $24 = $1.92
$24+$4.80+$1.92=$30.72
<u>Tipping on the total (what you did)</u>
8% of $24 is $1.92
New total is $25.92
20% of $25.92 is $5.18
$25.92 + $5.18 = $31.10
Answer:
$31.44
Step-by-step explanation:
29.95 * .05 = 1.49
29.95 + 1.49= 31.44 (you add because its tax)
hope this helps! :)
Answer: 21.375 cm2
Step-by-step explanation:
Area of rectangle = length x width = 3.5 x 4.4 = 15.75 cm2
Area of triangle = 1/2 x base x height = 1/2 x 2.5 x 4.5 = 5.625 cm2
Add rectangle and triangle area = 21.375 cm2
Answer:
39%
Step-by-step explanation:
9 hours ago 100%
