Answer:
Combination; number of ways = 21
Step-by-step explanation:
Answer:
$3,890
Step-by-step explanation:
The computation of the number of people in town registered to vote is shown below;
= People voted × registered to vote percentage
= 5,985 × 65%
= $3,890
Hence, the number of people in town registered to vote is $3,890
Answer:
The system has "infinitely many solutions; consistent and dependent" ⇒ D
Step-by-step explanation:
A consistent system of equations has at least one solution.
- The consistent independent system has exactly 1 solution
- The consistent dependent system has infinitely many solutions
An inconsistent system has no solution.
In the system of equations ax + by = c and dx + ey = f, if
- a = d, b = e, and c = f, then the system is consistent dependent and has infinitely many solutions
- a = d, b = e, and c ≠ f, then the system is inconsistent and has no solution
- a ≠ d, and/or b ≠ e, and/or c ≠ f, then the system is consistent independent and has exactly one solution
In the given system of equations
∵ r = -5s + 7
∵ r + 5s - 7 = 0
→ Put the equations in the form of equations above
∵ r = -5s + 7
→ Add -5s to both sides
∴ r + 5s = -5s + 5s + 7
∴ r + 5s = 7 ⇒ (1)
∵ r + 5s - 7 = 0
→ Add 7 to both sides
∴ r + 5s - 7 + 7 = 0 + 7
∴ r + 5s = 7
∴ r + 5s = 7 ⇒ (2)
→ By subtracting equations (1) and (2)
∵ (r - r) + (5s - 5s) = (7 - 7)
∴ 0 + 0 = 0
∴ 0 = 0
→ By using rule 1 above
∵ r = r
∵ 5s = 5s
∵ 7 = 7
∴ The system of equation is consistent dependent and has infinitely
many solutions
∴ The system has "infinitely many solutions; consistent and dependent"
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Population standard deviation (σ) = 1.36
Sample size (n) = 5
A.)Standard deviation of sampling mean (σx) = (σ/√n)
(1.36/√5)
1.36 / 2.236
= 0.608
B.) With z = 3, the control limits for the mean
chart :
Control limit = m ± zσx
Using calculator ; mean (m) of the data = 10.40
Lower control limit : 10.4 - 3(0.608) = 8.576
Upper Control limit : 10.4 + 3(0.608) = 12.224
The control limit for the range :
Average value of range(R) in the sample = 3.6
Lower Control limit : R*D3
Upper control limit: R*D4
From the range chart table :
D3 = 0 ; D4 = 2.114
Lower Control limit : R*D3 = 3.6(0) = 0
Upper control limit: R*D4 = 3.6(2.114) = 7.61
You first multiply 6 and 8 to see how many people are put in the vans without rented a van. This would equal 48. You then subtract 48 from 59 to see how many people still need to be in a van. This would leave you with 11 people. Then you divide 8 from 11 to get 1 3/8. This means you need 2 vans to fit everyone.
