Since in a pass code, the placement of the digits is
important, therefore this means that to solve for the total number of
possibilities we have to make use of the principle of Permutation. The formula
for calculating the total number of possibilities using Permutation is given
as:
P = n! / (n – r)!
where,
n = is the total amount of numbers to choose from = 20
r = is the total number of digits needed in the passcode =
4
Therefore solving for the total possibilities P:
P = 20! / (20 – 4)!
P = 20! / 16!
P = 116,280
<span>Hence there are a total of 116,280 possibilities of pass
codes.</span>
Answer:
The confidence interval becomes wider.
Step-by-step explanation:
The general form of a confidence interval is:
The critical value is based on the confidence level.
The confidence level is the probability that the true parameter value falls within a specific interval. The basic and most used confidence levels are 90%, 95% and 99%.
The confidence interval is directly proportional to the confidence interval.
Confidence Interval ∝ Confidence Level
On increasing the confidence level the confidence level widens. And on decreasing the confidence level the confidence level gets narrower.
Thus, when Gina changes the confidence interval to 99% the confidence interval becomes wider.
-0,666666666666666666666667
Answer:
Five= 9 One= 6 Twenty= 15
Step-by-step explanation:
A cashier has a total of 30 bills, made up of ones, fives, and twenties.
o+f+t=30,
The number of twenties is 9 more than the number of ones.
t=9+o,
The total value of the money is $351.
o+5f+20t=351
so we have
o+f+t=30, t=9+o,
o+5f+20t=351
f = 9, o = 6, t = 15
Answer:
The average rate will be 2.40 dollars per kg.
Hence, option D is correct.
Step-by-step explanation:
From the table, it is clear that the order size is located on the x-axis and the price is located on the y-axis.
The price of 100 kg cumin = $450
The price of 600 kg cumin = $1650
so
at x₁ = 100, f(x₁) = 450
at x₂ = 600, f(x₂) = 1650
Using the formula to determine the average rate of change at which the total cost increases will be:
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [1650 - 450] / [600-100]
= 1200 / 500
= 2.4
Therefore, the average rate will be 2.40 dollars per kg.
Hence, option D is correct.
