Answer:
Step-by-step explanation:
We can write two equations in the two unknowns using the given relations. Let g and b represent the costs of a round of golf and a turn in the batting cage, respectively.
5g +4b = 60 . . . . . Sylvester's expense
3g +6b = 45 . . . . . Lin's expense
Dividing the second equation by 3 gives ...
g +2b = 15 ⇒ 2b = 15 -g
Substituting into the first equation, we have ...
5g +2(2b) = 60
5g +2(15 -g) = 60 . . . . . substitute for 2b
3g = 30 . . . . . . . . . subtract 30, collect terms
g = 10 . . . . . . . divide by 3
__
2b = 15 -10 = 5 . . . . use the value of g to find b
b = 2.5 . . . . . . . . divide by 2
Mini golf costs $10 per round; batting cages cost $2.50 per turn.
Answer:
P = 22
Step-by-step explanation:
P= l(2) + w(2)
5(2) + 6(2)
10 + `12
22
Answer:
$190.50
Step-by-step explanation:
Expected value is the sum of each possible income multiplied by its probability.
There's a 5% chance that the vendor makes $200 and loses $190 (net gain of $10).
There's a 95% chance that the vendor makes $200 and loses $0 (net gain of $200).
So the expected value is:
Exp(RS) = $10 × 0.05 + $200 × 0.95
Exp(RS) = $190.50
Answer:
The 100th term of the sequence is 503.
Step-by-step explanation:
Given : Sequence 8, 13, 18,23, 28,...
To find : The 100th term in the sequence ?
Solution :
Sequence 8, 13, 18,23, 28,... is the arithmetic sequence
Where, First term is a=8
The common difference is d=13-8=5
The nth term of the sequence is given by 
The 100th term is given by,
The 100th term of the sequence is 503.
