Consider all seven-digit numbers that can be created from the digits 0-9 where the first and last digits must be even and no dig
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Answer:
Step-by-step explanation:
From the question we are told that
Consider all seven-digit numbers
Created from the digits 0-9
Generally number of digits that starts with 6 is mathematically given as
The total amount of digits from 0-9(0,1,2,3,4,5,6,7,8,9 = 10
The total amount of even digits within 0-9 (0,2,4,6,8) = 5
The total amount of 3-digit numbers giving the first and last digits to be even = 5 * 10 * 5 = 250
The total 3-digit numbers giving the first digit is 4 and last digit is even = 1 * 10 * 5 = 50
Probability the number starts with 4
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Answer:
Let's define:
C = number of pandesal with cheese that you sell
U = number of pandesal with ube that you sell.
If you sell these numbers of each, the total profit you get is:
C*8.00 pesos + U*9.00 pesos.
And yo want to get at least 180 pesos, then:
C*8.00 pesos + U*9.00 pesos ≥ 180 pesos.
And you also want to sell two of each, then:
C ≥ 2
U ≥2
So the system of inequalities is:
C*8.00 pesos + U*9.00 pesos ≥ 180 pesos.
C ≥ 2
U ≥2
If U is on the x-axis, and C is on the y-axis, then the graph is: (where the region at the right of the vertical line should be shaded)
