Answer: 1. 1,906,500
2. 840
Step-by-step explanation:
1. Given: There are 125 juniors at the high school.
Total positions = 3 [president,vice president, and secretary]
Then, Number of ways to elect a president,vice president, and secretary( which is in order) out of 125 juniors =
[Using permutations]

Hence, Required ways =1906500
(2) Given word : "RHOMBUS"
Total letters= 7
By permutation, the umber of 4-letter arrangements = 

Hence, required ways = 840
Answer:
∂u/∂xi = i·cos(sn)
Step-by-step explanation:
For u = sin(v), the partial derivative of u with respect to xi is ...
∂u/∂xi = cos(v)·∂v/xi
In this case, v=sn, and ∂sn/∂xi = i, so the derivatives of interest are ...
∂u/∂xi = i·cos(sn)
Answer:
Time in minutes = 66 2/3
Time in hours = 1.11
Step-by-step explanation:
Problem:
Time taken by both machine to make 20 yo-yo
let the time taken be x minutes
Given
Time taken by machine A to make 1 yo-yo = 5 mins
No. of yo-yo made by machine A in x minutes = x/5
Time taken by machine B to make 1 yo-yo = 10 mins
No. of yo-yo made by machine B in x minutes = x/10
Total no. of yo-yo made by both the machine = x/5 + x/10 = (2*x+x)/10
Total no. of yo-yo made by both the machine = 3x/10
But given that together they made 20 yo -yo
Thus,
3x/10 = 20
=> x = 20*10/3 = 200/3
Thus, it took 66 2/3 minutes to make 20 yo-yo by both of them
In one hour there is 60 minutes
Time taken in Hours will be = 200/3*60 = 200/180 = 10/9 = 1 1/9= 1.11 hours
1.You have that:
<span>
- One tin of 500 mL blue paint costs $11.50.
-Jason needs </span><span>4 L of blue paint.
2. First, you must convert 4 L to mL, as below:
1 L----1000 mL
4 L----x
x=4x1000/1
x=4000 mL
3. If 500 mL costs $11.50, h</span><span>ow much will it cost 4000 mL?
</span><span>
500 mL-----$11.50
4000 mL---x
x=(4000 mL)($11.50)/500 mL
x=$92.00
</span><span>
How much will it cost Jason to paint this bedroom?
The answer is: $92.00</span><span>
</span>
Answer:
Step-by-step explanation:
P(A) = 18/22
P(B) = 10/22
P(A and B) = 8/22
P(A or B) = 18/22 * 10/22 = 0.37