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Rainbow [258]
3 years ago
6

A jar contains 5 pink and 8 navy marbles. A marble is drawn at random. What is the theoretical probability of NOT drawing pink?

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
3 0
8/13 =0.53 (likely)


8 (navy marbles) over the total amount of marbles = 0.53
0=impossible
between 0 and 0.25 =likely impossible
between 0.25 and 0.50 = less likely
0.50 = equal , even, or same
between 0.50 ans 0.75 = likely
between 0.75 and 1 = most likely
1 = certain
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3 years ago
Can you tell me how to calculate R for below Matrix ?
scoray [572]

Answer:

The rank of the matrix is 3.

Step-by-step explanation:

Consider the prided information.

x=\begin{bmatrix}x_1\\ x_2\\ x_3\end{bmatrix}=\begin{bmatrix}9&2&6&5&8\\ 12&8&6&4&10\\ 3&4&0&2&1\end{bmatrix}

Reduce the matrix in row echelon form as shown:

R_1\:\leftrightarrow \:R_2\begin{bmatrix}12&8&6&4&10\\ 9&2&6&5&8\\ 3&4&0&2&1\end{bmatrix}\\

R_2\:\leftarrow \:R_2-\frac{3}{4}\cdot \:R_1\ and\ R_3\:\leftarrow \:R_3-\frac{1}{4}\cdot \:R_1\\\\\begin{bmatrix}12&8&6&4&10\\ 0&-4&\frac{3}{2}&2&\frac{1}{2}\\ 0&2&-\frac{3}{2}&1&-\frac{3}{2}\end{bmatrix}

R_3\:\leftarrow \:R_3+\frac{1}{2}\cdot \:R_2\\\begin{bmatrix}12&8&6&4&10\\ 0&-4&\frac{3}{2}&2&\frac{1}{2}\\ 0&0&-\frac{3}{4}&2&-\frac{5}{4}\end{bmatrix}

R_2\:\leftarrow \:R_2-\frac{3}{2}\cdot \:R_3\ and\ R_1\:\leftarrow \:R_1-6\cdot \:R_3\\\begin{bmatrix}12&8&0&20&0\\ 0&-4&0&6&-2\\ 0&0&1&-\frac{8}{3}&\frac{5}{3}\end{bmatrix}\\R_2\:\leftarrow \:-\frac{1}{4}\cdot \:R_2\ , \ R_1\:\leftarrow \:R_1-8\cdot \:R_2\ and\ \:R_1\:\leftarrow \frac{1}{12}\cdot \:R_1\\\begin{bmatrix}1&0&0&\frac{8}{3}&-\frac{1}{3}\\ 0&1&0&-\frac{3}{2}&\frac{1}{2}\\ 0&0&1&-\frac{8}{3}&\frac{5}{3}\end{bmatrix}

The rank of a matrix is the number of non zeros rows.

Thus, the rank of the matrix is 3.

6 0
3 years ago
Write an equation for the line parallel to the given line that contains C<br> C(2,6); y= -4x + 7
MrRa [10]

Answer:

y=-4x+14

Step-by-step explanation:

step 1

Find the slope of the given line

we have

y=-4x+7

This is the equation of the given line in slope intercept form

The slope is m=-4

step 2

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

therefore

The slope of the line parallel to to the given line is m=-4

step 3

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=-4

C\ (2,6)

substitute

y-6=-4(x-2)

step 4

Convert to slope intercept form

y-6=-4(x-2)

isolate the variable y

y-6=-4x+8

y=-4x+8+6

y=-4x+14

6 0
3 years ago
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