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:
2 pieces
Step-by-step explanation:
Given
Required
Calculate the number of pieces
To do this, we have to divide the length of the wood by the length of each piece.
Represent this with x
Convert mixed numbers to improper fraction
Change division to multiplication
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Answer:
999kkk b8llion
Step-by-step explanation:
iiuugghhgvvjhhffffffffffffffggttgggg
Answer:
Cost of five blouses = $145
Step-by-step explanation:
Let
x = cost of blouse
y = cost of skirt
15x + 2y = 505 (1)
5x + 2y = 215 (2)
Subtract (2) from (1) to eliminate y
15x - 5x = 505 - 215
10x = 290
x = 290/10
x = 29
Substitute x = 29 into (2)
5x + 2y = 215 (2)
5(29) + 2y = 215
145 + 2y = 215
2y = 215 - 145
2y = 70
y = 70/2
y = 35
x = cost of blouse = $29
y = cost of skirt = $35
How much do 5 such blouses cost?
cost of a blouse = $29
Cost of five blouses = $29 × 5
= $145
Cost of five blouses = $145
39,000 40,000 39,000 40,000 hope this helped!