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Sergeu [11.5K]
2 years ago
8

The elements of Matrix C are shown below.

Mathematics
1 answer:
sergeinik [125]2 years ago
7 0

The matrix that represents the matrix D is \left[\begin{array}{cccc}3&1&-9&8\\2&2&0&5\\16&1&-3&11\end{array}\right]

<h3>How to determine the matrix d?</h3>

Given the elements of the matrix C.

The matrix c is represented by its rows and columns element, and the arrangements are:

C11 = 3    C12 = 1   C13=-9   C14 = 8

C21 = 2   C22=2   C23 =0   C24 = 5

C31 = 16   C32 = 1  C33=-3   C34=11

Remove the matrix name and position

3  1  9  8

2 2  0  5

16  1  -3  11

Represent properly as a matrix:

C = \left[\begin{array}{cccc}3&1&-9&8\\2&2&0&5\\16&1&-3&11\end{array}\right]

Matrix C equals matrix D.

So, we have:

D = \left[\begin{array}{cccc}3&1&-9&8\\2&2&0&5\\16&1&-3&11\end{array}\right]

Hence, the matrix that represents matrix D is \left[\begin{array}{cccc}3&1&-9&8\\2&2&0&5\\16&1&-3&11\end{array}\right]

Read more about matrix at:

brainly.com/question/2456804

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Last years freshman class at big state university totaled 5,305 students of those 1258 received a merit scholarship to help offs
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Using the normal distribution, it is found that 95.15% of students receive a merit scholarship did not receive enough to cover full tuition.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation for the amounts are given as follows:

\mu = 3456, \sigma = 478

The proportion is the <u>p-value of Z when X = 4250</u>, hence:

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

Z = \frac{4250 - 3456}{478}

Z = 1.66

Z = 1.66 has a p-value of 0.9515.

Hence 95.15% of students receive a merit scholarship did not receive enough to cover full tuition.

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4 0
2 years ago
The pH level, given the molar hydrogen ion concentration, can be determined using the equation
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Answer:

(0.0316) U (0.0631)

Step-by-step explanation:

C on edge

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2.38 Baggage fees: An airline charges the following baggage fees: $25 for the first bag and $30 for the second. Suppose 54% of p
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The average baggage-related revenue per passenger is $16.30 per passenger.

<h3>Expected value</h3>

Expected value formula: x×p(x)

First step

No passenger=0×.54

No passenger=0

Second step

One checked luggage for first bag=.30×$25

One  checked luggage for first bag=$7.50

Third step

Two piece  for the first and second bag=.16×($25+$30)

Two piece  for the first and second bag=.16×$55

Two piece  for the first and second bag=$8.80

Last step

Expected value=$7.50+$8.80

Expected value=$16.30

Therefore the average baggage-related revenue per passenger is $16.30 per passenger.

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Rochelle made three $25 withdrawals and then wrote a check for $100. If she started with $200 in her account, find the total amo
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$25. 25 x 3 is 75. Plus the 100 is 175. 200 - 175 is $25

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The base of a solid is bounded by the curve y = sqrt (x+1) the x-axis and the line x = 1. the cross sections, taken perpendicula
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See attached for a sketch of some of the cross sections.

Each cross section has area equal to the square of the side length, which in turn is the vertical distance between the curve y = √(x + 1) and the x-axis (i.e. the distance between them that is parallel to the y-axis). This distance will be √(x + 1).

If the thickness of each cross section is ∆x, then the volume of each cross section is

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As we let ∆x approach 0 and take infinitely many such cross sections, the total volume of the solid is given by the definite integral,

\displaystyle \int_{-1}^1 (x+1) \, dx = \left(\frac{x^2}2 + x\right) \bigg|_{-1}^1 = \boxed{2} ~~~~ (B)

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