The formula for an arithmetic sequence:
We are given:
Determine d (the common difference)
Calculate a31:
The U.S. Bureau of Labor Statistics reports that 11.3% of U.S. workers belong to unions (BLS website, January 2014). Suppose a s
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Refer to the diagram illustrated below.
The specified constraints are
(a) y ≥ 24 ft
(b) x ≤ 10 ft
(c) y ≥ 3x
(d) y ≤ 33 ft
The shaded area represents the permissible region.
A (0, 33) meets all criteria
B (4, 36) does not satisfy condition (d)
C (4.8, 30.5) meets all criteria
D (9, 26) does not meet condition (c)
E (2, 22) does not satisfy condition (a)
Response:
The valid points are A and C.
The specified constraints are
(a) y ≥ 24 ft
(b) x ≤ 10 ft
(c) y ≥ 3x
(d) y ≤ 33 ft
The shaded area represents the permissible region.
A (0, 33) meets all criteria
B (4, 36) does not satisfy condition (d)
C (4.8, 30.5) meets all criteria
D (9, 26) does not meet condition (c)
E (2, 22) does not satisfy condition (a)
Response:
The valid points are A and C.
Answer:
Step-by-step explanation:
First, we need to calculate how many potential credit card numbers can be created using the digits 0 through 9.
We aim to create a number that consists of 16 digits from a total of 10 digits, therefore:
The total count of possible numbers formed is . However, only 100 million of these are valid (
). Let n represent the valid number of combinations.
This leads us to the probability of selecting a valid number:
P(valid) = n / N