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mrs_skeptik
1 month ago
12

A security alarm requires a four-digit code. The code can use the digits 0–9 and the digits cannot be repeated. What is the appr

oximate probability that the code only contains odd numbers?
0.0005
0.00099
0.012
0.02381
Mathematics
2 answers:
Leona [12.6K]1 month ago
7 0

Answer: 0.02381

Step-by-step explanation:

Given: A security alarm necessitates a four-digit code. The digits can be from 0 to 9 and must not be repeated.

The overall number of combinations for the security alarm will be (without repeating any digits):

^{10}P_4=\dfrac{10!}{4!(10-4)!}\\\\=\dfrac{10!}{4!6!}=210

If only odd numbers are considered, the ways to formulate the security alarm will be (without repeating any digits):

^5P_4=\dfrac{5!}{4!(5-4)!}=5

Thus, the probability that the code is composed of only odd numbers will be

P(odd)=\dfrac{5}{210}=0.023809523809\approx0.002381

Leona [12.6K]1 month ago
3 0
The estimated probability that the code consists solely of odd digits is 0.02381.
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Result: OPTION D.

Step-by-step reasoning:

The total cost for Lindy can be calculated employing the expression given in the task:

0.90(2.25d + 1.40t + 6)

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The values are:

d=4\\\\t=3

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4 0
1 month ago
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What is the fewest number of points you must plot in order to have examples of all four sets of​ numbers, including at least one
lawyer [12517]

Answer:

Let’s outline the sets:

Integers: The collection of all whole numbers.

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Natural: The collection of positive integers.

Whole numbers: All the values obtainable by repeatedly adding (or subtracting) 1 to a number.

Thus:

2 qualifies as a:

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We can express 2 as 4/2.

As 2 is the fraction of two integers, it is also considered rational.

Since 2 is positive and an integer, it falls into the category of natural numbers.

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If we include a negative example, we can consider -3.

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8 0
3 months ago
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2 months ago
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