Answer:
Standard deviation = 8.27 percent
Step-by-step explanation:
Average = (Σx)/N
The average is the sum of variables divided by the number of variables.
x = each variable
N = number of variables = 5
Let the unknown percent be y
6 = (8 - 3 + 12 + 17 + y)/5
y = 30 - 34 = - 4
The standard deviation is the square root of variance. And variance is an average of the squared deviations from the mean.
Mathematically,
Standard deviation = σ = √[Σ(x - xbar)²/N]
x = each variable
xbar = mean = 6 percent
N = number of variables
σ = √[{(8 - 6)² + (-3 - 6)² + (12 - 6)² + (17 - 6)² + (-4 - 6)²}]/(5)]
σ = √[[(2)² + (-9)² + (6)² + (11)² + (-10)²]/(5)]
σ = √[(4 + 81 + 36 + 121 + 100)/(5)] = √(342/5) = 8.27 percent.
Answer:
A: They are congruent and complementary.
Step-by-step explanation:
Just took the test hope this helps :D
Answer:
The commission percentage is 2%
Step-by-step explanation:
To find the percentage of a commission, start by dividing the commission amount by the total amount sold.
3,000/150,000 = .02 = 2%
<span>–1 + 6(–1 – 3x) > –39 – 2x.
</span>-1-6-18x>-39-2x
-7-18x>-39-2x
-18x>-32-2x
-16x>-32
x<2
B. x<2
Answer:
Jones family paid a total of $139
Step-by-step explanation:
Smith's Mountain Lake Boat provides Rental services that can be expressed as follows;
Total cost=cost per hour×number of hours rented+one time cleaning deal
For Benael's family;
Benael family total cost=Cost per hour×number of hours rented+one-time cleaning deal
where;
Benael family total cost=$226.50
Cost per hour=$25
Number of hours rented=11 am-6:30 pm=7 hours 30 minutes=7.5 hours
One time cleaning deal=x
Replacing;
226.50=(25×7.5)+x
187.5+x=226.50
x=226.50-187.5
x=39
One time cleaning deal=$39
For Jones family;
Jones family total cost=Cost per hour×number of hours rented+one-time cleaning deal
where;
Cost per hour=$25
Number of hours rented=9 am-1 pm=4 hours
One time cleaning deal=$39
Replacing;
Jones family total cost=(25×4)+39
Jones family total cost=$139
Jones family paid a total of $139
