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valkas [14]
2 years ago
6

If = {2,12,19,23,29} and b={2,23,34,40,45} then what is A∩B

Mathematics
1 answer:
exis [7]2 years ago
8 0

9514 1404 393

Answer:

  A∩B = {2, 23}

Step-by-step explanation:

The intersection of two sets is the list of elements common to both.

  2 is found in both

  12, 19 are only in set A

  23 is found in both

  29 is only in set A

  34, 40, 45 are only in set B

The intersection of the two sets is {2, 23}.

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Scores on an exam follow an approximately normal distribution with a mean of 76. 4 and a standard deviation of 6. 1 points. What
crimeas [40]

If scores on an exam follow an approximately normal distribution with a mean of 76.4 and a standard deviation of 6.1 points, then the minimum score you would need to be in the top 2% is equal to 88.929.

A problem of this type in mathematics can be characterized as a normal distribution problem. We can use the z-score to solve it by using the formula;

Z = x - μ / σ

In this formula the standard score is represented by Z, the observed value is represented by x, the mean is represented by μ, and the standard deviation is represented by σ.

The p-value can be used to determine the z-score with the help of a standard table.

As we have to find the minimum score to be in the top 2%, p-value = 0.02

The z-score that is found to correspond with this p-value of 0.02 in the standard table is 2.054

Therefore,

2.054 = x - 76.4 ÷ 6.1

2.054 × 6.1 = x - 76.4

12.529 = x - 76.4

12.529 + 76.4 = x

x = 88.929

Hence 88.929 is calculated to be the lowest score required to be in the top 2%.

To learn more about normal distribution, click here:

brainly.com/question/4079902

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In each box, write a formula in standard form for the function that represents the data in each table. Let function f represent
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Answer:

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Step-by-step explanation:

Combine like terms, perform the operations with the coefficients of the variable, then write the variable.

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