Cual es la expasion decimal de 13/7
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Order (B) 5 × 6 of the matrix can be multiplied by matrix a to create matrix ab.
<h3>What is a matrix?</h3>- A matrix is a rectangular array or table of numbers, symbols, or expressions that are organized in rows and columns to represent a mathematical object or an attribute of such an object in mathematics.
- For instance, consider a matrix with two rows and three columns.
To find the order of matrix:
- We must first check the dimension of two matrices, say matrix A by matrix B, before we may multiply them.
- Multiplication is achievable if the number of columns in the first matrix, A, equals the number of rows in the second matrix.
- Dimension is assigned to the provided matrix: 6 × 5
- This means the given matrix contains six rows and five columns.
- As a result, the second matrix MUST have 5 rows in order for multiplication to be POSSIBLE.
- The only matrix with 5 rows among the above alternatives is the matrix with dimension (B) 5 × 6.
To prove:
- In other words, the inner products of the dimensions should be equal.
- That is; (a × b)(b × a) is possible but (a ×b)(c × b) is impossible.
- The dimensions of the matrix are given by, row × column.
Therefore, order (B) 5 × 6 of the matrix can be multiplied by matrix a to create matrix ab.
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Answer:
There is a 0.13% probability that the random sample of 100 nontraditional students have a mean GPA greater than 3.65.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by
After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.
For this problem, we have that:
Based on the study results, we can assume the population mean and standard deviation for the GPA of nontraditional students is and
.
We have a sample of 100 students, so we need to find the standard deviation of the sample, to use in the place of in the z score formula.
.
What is the probability that the random sample of 100 nontraditional students have a mean GPA greater than 3.65?
This is 1 subtracted by the pvalue of Z when . So
A zscore of 3 has a pvalue of 0.9987.
So, there is a 1-0.9987 = 0.0013 = 0.13% probability that the random sample of 100 nontraditional students have a mean GPA greater than 3.65.