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MA_775_DIABLO [31]
2 years ago
8

If one three-digit number ( 0 cannot be a left digit) is chosen at random from all those that can be made from the following set

all digits, find the probability that one chosen is not a multiple of 2. [0,1,2,3,4,5,6,7,8]
Mathematics
1 answer:
Oksana_A [137]2 years ago
8 0

The probability of choosing a number that is not a multiple of 2 is P = 0.44

<h3 /><h3>How to find the probability?</h3>

We need to count the number of options for each digit.

  • For the first digit, we have 8 options {1, 2, 3, 4, 5, 6, 7, 8}
  • For the second digit, we have 9 options {0 ,1, 2, 3, 4, 5, 6, 7, 8}
  • For the third digit, we have 9 options {0 ,1, 2, 3, 4, 5, 6, 7, 8}.

The total number of combinations is the product between the numbers of options:

C = 8*9*9 = 648

If we want our number to not be a multiple of 2 then it must end in a odd digit, the combinations that meet that condition are:

  • For the first digit, we have 8 options {1, 2, 3, 4, 5, 6, 7, 8}
  • For the second digit, we have 9 options {0 ,1, 2, 3, 4, 5, 6, 7, 8}
  • For the third digit, we have 4 options {1, 3,  5, 7}.

C = 8*9*4 = 288

Then the probability of selecting a 3 digit number that is not a multiple of 2 is:

P = 288/648 = 0.44

If you want to learn more about probability, you can read:

brainly.com/question/251701

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iren2701 [21]

Answer:

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,0.08)  

Where \mu and \sigma=0.08

Since the distribution for X is normal then the  we know that the distribution for the sample mean \bar X is given by:

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And the standard error is given by:

SE= \frac{0.08}{\sqrt{24}}= 0.0163

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,0.08)  

Where \mu and \sigma=0.08

Since the distribution for X is normal then the  we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error is given by:

SE= \frac{0.08}{\sqrt{24}}= 0.0163

8 0
3 years ago
Please help me with my work I’ll give Brainlest
lbvjy [14]

Answer:

I believe it's a^2 * b^2 = c^2

Step-by-step explanation:

a^2 * 9^2 = 15^2

hope this helps! :)

6 0
3 years ago
5. On the cardiac ward of a local hospital, there are 7 nursing assistants. The seven assistants have 7, 8, 5, 9, 10, 10, and 14
almond37 [142]

Answer:

Option OD - 9

Step-by-step explanation:

Given : On the cardiac ward of a local hospital, there are 7 nursing assistants. The seven assistants have 7, 8, 5, 9, 10, 10, and 14 patients, respectively, that they assist.

To find : What is the average number of patients per nursing assistant?

Solution :

The average number of patients per nursing assistant is given by the division of sum of number of patients by total number of nursing.

So, \text{Average} =\frac{\text{Sum of patients}}{\text{Number of assistants}}

\text{Average} =\frac{7+8+5+9+10+10+14}{7}

\text{Average} =\frac{63}{7}

\text{Average} =9

Therefore, The average number of patients per nursing assistant is 9.

So, Option OD is correct.

8 0
3 years ago
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dimulka [17.4K]
Hey Katie

4^2x+3 = 1
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log(4^2x+3) = log (1)
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x = -3/2


I hope that's help ! 

8 0
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