Answer:
$9127.50
Step-by-step explanation:
To find 6% of $152,125, you would multiply 152,125 by 0.06 which equals $9127.50.
Answer:
10.94
Step-by-step explanation:
The standard deviation is calculated by using the following formula:
This means that N is the total number of cases you want to take into account, times the sum of x at the ith position - x squared.
In other words, the standard deviation in your example implies the following:
26 is the first value, so i = 1, 34 is the second value, so i = 2, 18 where i = 3, and so on and so forth, until you reach the end, which is 6 (so the initial value is 1 and the last one is 6).
You're doing a sum over an iteration of all the numbers in your sample.
So applying the sum of all of the numbers, it gives us the following:
The sum of all of the numbers in your sample is equal to 119.6.
Substitute into the equation once again:
Where the square root of 119.6 is 10.93617...
Rounded to two decimal places: 10.94
Answer:
1 : 6
Step-by-step explanation:
Calculate the perimeter
perimeter = 2(3x + 5) + 2(6x + 10) = 6x + 10 + 12x + 20 = 18x + 30
perimeter = 18x + 30 ← take out a common factor of 6 from both terms
= 6(3x + 5)
ratio of width : perimeter
= 1(3x + 5) : 6(3x + 5) ← divide both parts by (x + 5)
= 1 : 6
1) Let f(x) be x^3+5x^2+2x+1
Since f(x) is divided by x+1,
R= f(-1) = (-1)^3 + 5(-1)^2+2(-1) + 1
= -1+5-2+1
= 3
2) Let f(x) be x^3 - 6x + 5x +2
Since f(x) is divided by x-5,
R= f(5) = x^3 - 6x^2 + 5x +2
= 5^3 - 6(5)^2 + 5(5) +2
= 125 - 150 + 25 + 2
= 2
Answer:
0.2240418 ; 0.57681
Step-by-step explanation:
Given the information above :
A) What is the probability of exactly three arrivals in a one-minute period?
Using poisson probability function :
p(x ; m) = [(m^x) * (e^-m)] / x!
Here, m = mean = 3, x = 3
P(3 ; 3) = [(3^3) * (e^-3)] / 3!
P(3;3) = [27 * 0.0497870] / 6
= 1.3442508 / 6
= 0.2240418
B) What is the probability of at least three arrivals in a one-minute period?
Atleast 3 arrivals
X >= 3 = 1 - [p(0) + p(1) + p(2)]
P(0 ; 3) = [(3^0) * (e^-3)] / 0! = (1 * 0.0497870) / 1 = 0.0497870
P(1 ; 3) = [(3^1) * (e^-3)] / 1! = (3 * 0.0497870) / 1 = 0.1493612
P(2 ; 3) = [(3^2) * (e^-3)] / 2! = (9 * 0.0497870) / 2 = 0.2240418
1 - [0.0497870 + 0.1493612 + 0.2240418]
1 - 0.42319 = 0.57681
