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s2008m [1.1K]
3 years ago
5

A=-2[[-6,4],[3,7],[12,10]] B=3[[-2,2,8],[8,5,6]]and D=-1[[-12,8],[6,14],[24,20]] are equal matrices ANSWERS a nd b are equal b a

nd c are equal c and d are equal d and a are equal
Mathematics
1 answer:
lys-0071 [83]3 years ago
3 0

Answer:

<h2>D and A are equal</h2>

Step-by-step explanation:

Two matrices A and B are said to be equal if both matrices have the same number of rows and columns. Given the following matrices

A = -2\left[\begin{array}{ccc}-6&4\\3&7\\12&10\end{array}\right] \\multiplying\ the \ matrix\ through\ by\ -2\ will\ give\\A = \left[\begin{array}{ccc}12&-8\\-6&-14\\-24&-20\end{array}\right] \\\\\\B =3 \left[\begin{array}{ccc}-2&2&8\\8&5&6\end{array}\right] \\B = \left[\begin{array}{ccc}-6&6&24\\24&15&18\end{array}\right] \\\\\\D = \left[\begin{array}{ccc}12&-8\\-6&-14\\-24&-20\end{array}\right]

From the above matrices, it can be seen that matrix A and C both has 3 rows and 2 columns each which matrix b has 2 rows and 3 columns.

Based on the conclusion, it can be seen that matrices A and D are equal since they have the same number of rows and columns

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Assume that women have heights that are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches.
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Answer:

Q3 = 65.7825.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. 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, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 63.6, \sigma = 2.5

Find the value of the quartile Q3. (Hint: Q3 has an area of 0.75 to its left.)

This is the value of X when Z has a pvalue of 0.75. So it is X when Z = 0.675.

Z = \frac{X - \mu}{\sigma}

0.675 = \frac{X - 63.6}{2.5}

X - 63.6 = 0.675*2.5

X = 65.7825

Q3 = 65.7825.

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3 years ago
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Step-by-step explanation:

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Therefore, when you set the function equal to zero, the solution is x = 3; therefore, the graph has an x-intercept at x = 3. (Answer)

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