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Kryger [21]
2 years ago
13

5,3,1,-1, common difference or common ratio

Mathematics
1 answer:
Nataly_w [17]2 years ago
4 0

Answer:

Common

Step-by-step explanation:

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Assume that 2 cards are drawn from a standard 52-card deck. Find the following probabilities.
topjm [15]

Answer:

Step-by-step explanation:

WITHOUT replacement of first card drawn:

P(a 10 is drawn) = 13/52 = 1/4

P(the next draw is a 10) = 12/52 = 3/13

P(drawing two 10s without replacement of the first draw) = (1/4)(3/13) = 3/52

WITH replacement of first card:

P(two 10s are drawn) = P(first card is a 10)*P(first card is a 10) = (4/13)(4/13) =

16/169

7 0
3 years ago
What is the row echelon form of this matrix?
USPshnik [31]

The row echelon form of the matrix is presented as follows;

\begin{bmatrix}1 &-2  &-5  \\ 0& 1 &  -7\\ 0&0  &1  \\\end{bmatrix}

<h3>What is the row echelon form of a matrix?</h3>

The row echelon form of a matrix has the rows consisting entirely of zeros at the bottom, and the first entry of a row that is not entirely zero is a one.

The given matrix is presented as follows;

\begin{bmatrix}-3 &6  &15  \\ 2& -6 &  4\\ 1&0  &-1  \\\end{bmatrix}

The conditions of a matrix in the row echelon form are as follows;

  1. There are row having nonzero entries above the zero rows.
  2. The first nonzero entry in a nonzero row is a one.
  3. The location of the leading one in a nonzero row is to the left of the leading one in the next lower rows.

Dividing Row 1 by -3 gives:

\begin{bmatrix}1 &-2  &-5  \\ 2& -6 &  4\\ 1&0  &-1  \\\end{bmatrix}

Multiplying Row 1 by 2 and subtracting the result from Row 2 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 1&0  &-1  \\\end{bmatrix}

Subtracting Row 1 from Row 3 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 0&2  &4  \\\end{bmatrix}

Adding Row 2 to Row 3 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 0&0  &18  \\\end{bmatrix}

Dividing Row 2 by -2, and Row 3 by 18 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& 1 &  -7\\ 0&0  &1  \\\end{bmatrix}

The above matrix is in the row echelon form

Learn more about the row echelon form here:

brainly.com/question/14721322

#SPJ1

8 0
1 year ago
The average cost of tuition, room and board at small private liberal arts colleges is reported to be $8,500 per term, but a fina
Vlada [557]

Answer:

The test statistic for this test is 3.82.

Step-by-step explanation:

The null hypothesis is:

H_{0} = 8500

The alternate hypotesis is:

H_{1} > 8500

Our test statistic is:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation of the population and n is the size of the sample.

In this question:

X = 8745, \mu = 8500, \sigma = 1200, n = 350

So

t = \frac{8745 - 8500}{\frac{1200}{\sqrt{350}}} = 3.82

The test statistic for this test is 3.82.

5 0
3 years ago
Find the common ratio of the geometric sequence -18,126,-882
gtnhenbr [62]

Answer:

r = - 7

Step-by-step explanation:

The common ratio r is the ratio of a term to the preceding term, that is

r = 126 ÷ - 18 = - 882 ÷ 126 = - 7

5 0
3 years ago
9/2 divided by 1/4= ? in simplest form
Allisa [31]

Answer: 18

<u>Do Keep Change Flip (KCF)</u>

Keep: 9/2

Change: ÷ into ×

Flip: 1/4 into 4/1

Your new problem should be 9/2×4/1

<u>Multiply</u>

9/2×4/1=36/2

36/2=18

Final Answer: 18

7 0
3 years ago
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