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3 years ago

The odds against a spinner showing an even number are 3:8. What is the probability of the spinner showing an even number?

1 answer:

6 0

Odds: yes/no
Probability: yes/total

3:8 represents odds of 'not even' which is the same as odds of an odd number being spun.
There are 3 odd numbers and 8 even numbers.
P(even) = 8/11

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1 way
six million, seven thousand, and two hundred.

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Which equation, when solved, results in a different value of x than the other three?

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Nik and his friend bought shares of stock at the rate of $32 per share. For $3,520, Nik's friend bought 10 fewer shares than Nik

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Answer:

#1-List all outcomes for choosing the digit. *

A: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

B: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

C: 1, 2, 3, 4, 5, 6, 7, 8, 9

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Step-by-step explanation:

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2 years ago

What degree of rotation is represented on this matrix

Korvikt [17]

Answer:

Option B is correct

the degree of rotation is, $-90^{\circ}$

Step-by-step explanation:

A rotation matrix is a matrix that is used to perform a rotation in Euclidean space.

To find the degree of rotation using a standard rotation matrix i.e,

$R = \begin{bmatrix}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta \end{bmatrix}$

Given the matrix: $\begin{bmatrix}0 & 1 \\ -1 & 0\end{bmatrix}$

Now, equate the given matrix with standard matrix we have;

$\begin{bmatrix}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta \end{bmatrix}$ = $\begin{bmatrix}0 & 1 \\ -1 & 0\end{bmatrix}$

On comparing we get;

$\cos \theta = 0$ and $-\sin \theta =1$

As,we know:

$\cos \theta = \cos(-\theta)$

$\sin(-\theta) = -\sin \theta$

$\cos \theta = \cos(90^{\circ}) = \cos( -90^{\circ})$

we get;

$\theta = -90^{\circ}$

and

$\sin \theta =- \sin (90^{\circ}) = \sin ( -90^{\circ})$

we get;

$\theta = -90^{\circ}$

Therefore, the degree of rotation is, $-90^{\circ}$

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3 years ago

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ArbitrLikvidat [17]

The correct answer is C

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