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stira [4]
3 years ago
9

Let A be a 4 x 5 matrix and Let B be a 4 x 4 matrix. Suppose you were asked to multiply matrix A times matrix B. When multiplied

the resulting solution of multiplying matrix A times matrix B will be a 4x 4 matrix.
a. True
b. False
Mathematics
1 answer:
VMariaS [17]3 years ago
8 0

Answer:

b. false

Step-by-step explanation:

when multiplying matrixes the number of columns of the first matrix must be equal as the number of rows of the second matrix, and since here matrix A has 4 columns but matrix B has 5 rows they can't be multiplied

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In a sample of 230 teenagers, 202 would like to have smaller class sizes at their school. Find the sample
marishachu [46]

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The sample proportion is 0.88.

The margin of error is of 0.04.

The interval likely to contain the true population proportion is (0.84,0.92).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

Margin of error:

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

Sample of 230 teenagers, 202 would like to have smaller class sizes at their school.

This means that n = 230, and that the sample proportion is:

\pi = \frac{202}{230} = 0.88

The sample proportion is 0.88.

Standard 95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Margin of error:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

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The margin of error is of 0.04.

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Sample proportion plus/minus margin of error. So

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The interval likely to contain the true population proportion is (0.84,0.92).

5 0
3 years ago
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