Please answer both asap!!!
1 answer:
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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:
Taji has a total of 56 quarters.
Step-by-step explanation:
Let <em>x</em> be the number of quarters that Taji has.
Amount in terms of quarter
Let <em>y</em> be the number of dimes that Taji has.
Amount in terms of quarter
As per question statement:
Total amount is $18.20 as given in the question statement.
Solving equations (1) and (2):
Multiplying equation (1) by 10 and subtracting from equation (2):
<em>x </em>is the number of quarters that Taji has.
So, Taji has a total of 56 quarters.