<span>The wallet contains 4 $1 bills, 4 $5 bills, and 4 quarters.
$1 </span>× 4 = $4
$5 × 4 = $20
$0.25 × 4 = $1
$4 + $20 = $24, $24 + $1 = $25.
The probability of you being the leadoff hitter is <span>8.3%.</span>
Explanation:
The number of possible rosters can be calculated with permutations, knowing that the coach can choose the first hitter among all 12 players, then the second hitter among the 11 players remaining and so on until the 9th hitter among the remaining 4 players.
Therefore:
Possible rosters = 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 = 79833600
The leadoff hitter is the first player in the batting order, therefore the number of possible rosters in which you are chosen as the first one is:
You leadoff = 1 <span>× 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 = 6652800
The probability of you being leadoff is:
P</span> = You leadoff / <span>Possible rosters
</span> = 6652800 / 79833600
= 1 / 12
= 0.08333
= 8.3%
Note that this is exactly the probability of you being chosen out of the 12 players of the team in a one-pick choice because it does not matter how the rest of the batting order is composed.
Answer:
<u>The number of associates = 6 and the number of partners = 4</u>
Step-by-step explanation:
let the number of associates = x
let the number of partners = y
The law firm assigned a total of 10 lawyers
∴ x + y = 10
∴ y = 10 - x ⇒ (1)
$8000 per day charged for these lawyers, The daily rate charged to the client for each associate is $600 and the daily rate for each partner is $1100.
∴ 600x + 1100 y = 8000 ⇒ (2)
By substitute from (1) at (2)
600 x + 1100 (10 - x) = 8000
solve for x
600 x + 11000 - 1100 x = 8000
-500 x = -3000
x = -3000/-500 = 6
At (1) to find y
y = 10 - 6 = 4
<u>So, the number of associates = 6 and the number of partners = 4</u>
Answer:
400 children tickets and 600 adult tickets.
Step-by-step explanation:
children tickets in total cost=400x2.50
=1000
adult tickets in total cost=600x5.00
=3000
total cost is 4000
Answer:
12/18 every hour
Step-by-step explanation:
2/3 =10 minutes
4/6 = 20 minutes
6/9 = 30 minutes
8/12 = 40 minutes
10/15 =50 minutes
12/18 = 60 minutes
