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ahrayia [7]
3 years ago
9

What is P(Consonant,C) on two consecutive spins i need help

Mathematics
1 answer:
galben [10]3 years ago
7 0

The probability of consonant C is 1/4.

<u>Step-by-step explanation:</u>

  • The spin board shown in the image has 4 different consonants that are  A,B,C and D.
  • Therefore, it can be determined that one spin gives the total possibilities of 4 outcomes which is equal to A,B,C,D.

1 spin = {A,B,C,D} = 4 possible outcomes.

For 2 spins, the outcome will be {A,B,C,D} and again {A,B,C,D}.

2 spin = {A,B,C,D} + {A,B,C,D} = 8 possible outcomes.

<u>To find the probability of consonant C :</u>

Probability = Number of required event / total possible events.

Here, the required event is consonant C. In 1st spin, the event of consonant C occurs one time.

Then, in the 2nd spin, the event of consonant C occurs one more time.

  • The number of required event is 2.
  • The total number of events is 8.

Probability (consonant C) = 2/8 ⇒ 1/4.

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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.
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  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
How do you factor X^2 +7X +12?
horsena [70]

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Divide each sides with 5 and you have x=16

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subtract 48 from 48 and 80 and you have 32=4x.

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