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Dovator [93]
3 years ago
10

What is a possible solution for x = –3

Mathematics
1 answer:
g100num [7]3 years ago
4 0

Answer: 9+ -6=-3

Step-by-step explanation:

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2x+3y=15 x+y=6 find values for x and y
MatroZZZ [7]

Answer:

  (x, y) = (3, 3)

Step-by-step explanation:

Subtract double the second equation from the first.

  (2x +3y) -2(x +y) = (15) -2(6)

  y = 3 . . . . . . . . simplify

Use the second equation to find x.

  x = 6 -y = 6 -3 = 3

The values of x and y are both 3.

8 0
2 years ago
A prize wheel is divided into 12 equally likely spaces labeled 1 to 12.
ikadub [295]

Answer:

Events E and F are independent.

Step-by-step explanation:

E = {multiple of 3}  = {3, 6, 9, 12}

P(E) = 4/12

F = {even number}  = {2, 4, 6, 8. 10, 12}

P(F) = 6/12

E and F = {even and multiple of 3} = {6, 12}

P(E∩F) = 2/12

In order for two events to be independent the following relationship must be true:

P(E)*P(F) = P(E\cap F)

Testing this property:

P(E)*P(F) = \frac{4}{12}*\frac{6}{12}=\frac{24}{144}=\frac{1}{6}    \\P(E\cap F) = \frac{2}{12}=\frac{1}{6} \\P(E)*P(F) = P(E\cap F)

The relationship holds true, thus events E and F are independent.

4 0
3 years ago
What is the measure of an interior angle of a regular 12-gon?
gavmur [86]

Answer:

The measure of an interior angle of a regular 12-gon is 150°.

Hence, option 'C' is correct.                          

Step-by-step explanation:

We need to determine the measure of an interior angle of a regular 12-gon.

  • We know that the number of sides in a regular 12-gon = n = 12

Thus,

Using the formula to determine the measure of an interior angle of a regular 12-gon is given by

(n - 2) × 180° = n × interior angle

substitute n = 12

(12 - 2) × 180 = 12 × interior angle

10 × 180 = 12 × interior angle

Interior angle = (10 × 180) / 12

                      = 1800 / 12

                      = 150°

Therefore, the measure of an interior angle of a regular 12-gon is 150°.

Hence, option 'C' is correct.                          

4 0
3 years ago
Question 3
tino4ka555 [31]

Answer:

it is 8.39. hope this helps.

8 0
3 years ago
Which matrix is equal to P + Q?
Afina-wow [57]
Answer: 
\begin{bmatrix}-1.1 & 9.5\\-5.7 & 0.8\\6.1 & 0.7\end{bmatrix}

------------------------------------

Add up the corresponding elements

Row1,Column1: 6.1+(-7.2) = -1.1
Row1,Column2: 1.9+7.6 = 9.5
Row2,Column1: -7.5+1.8 = -5.7
Row2,Column2: 2.2+(-1.4) = 0.8
Row3,Column1: 3.8+2.3 = 6.1
Row3,Column2: -1.4+2.1 = 0.7

So that's why the answer is 
\begin{bmatrix}-1.1 & 9.5\\-5.7 & 0.8\\6.1 & 0.7\end{bmatrix}

3 0
3 years ago
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