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Alchen [17]
3 years ago
12

Dividing and multiplying complex numbers.

Mathematics
1 answer:
rusak2 [61]3 years ago
6 0
See attached picture for answers. Not 100% sure on the last one

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HELPPP!!!!! Plzzzz!!
Lina20 [59]

Given:

Cards labelled 1, 3, 5, 6, 8 and 9.

A card is drawn and not replaced. Then a second card is drawn at random.

To find:

The probability of drawing 2 even numbers.

Solution:

We have,

Even number cards = 6, 8

Odd numbers cards = 1, 3, 5, 9

Total cards =  1, 3, 5, 6, 8 and 9

Number of even cards = 2

Number of total cards = 6

So, the probability of getting an even card in first draw is:

P_1=\dfrac{\text{Number of even cards}}{\text{Number of total cards}}

P_1=\dfrac{2}{6}

P_1=\dfrac{1}{3}

Now,

Number of remaining even cards = 1

Number of remaining cards = 5

So, the probability of getting an even card in second draw is:

P_2=\dfrac{\text{Number of remaining even cards}}{\text{Number of remaining total cards}}

P_2=\dfrac{1}{5}

The probability of drawing 2 even numbers is:

P=P_1\times P_2

P=\dfrac{1}{3}\times \dfrac{1}{5}

P=\dfrac{1}{15}

Therefore, the probability of drawing 2 even numbers is \dfrac{1}{15}. Hence, the correct option is (b).

5 0
2 years ago
- A rectangle has a width of 4.2 m and an area of 37.8 m2. Find the length and the
eimsori [14]

Answer: option c

length = 9m

Perimeter = 26.4m

Step-by-step explanation:

A rectangle has a width of 4.2 m and an area of 37.8 m^2

We want yo determine the length of the rectangle and the perimeter of the rectangle.

The perimeter of the rectangle is the distance round the shape. Let the width of the triangle be w.

The perimeter of the rectangle would be expressed as Length + width + length + width. This becomes

2(length +width). So the perimeter of the given rectangle is

2(length + 4.2) but the area is given as 37.8 m^2. Area of a rectangle is length × width. It becomes

37.8= length × 4.2

Length = 37.8/4.2 = 9m

Therefore, the perimeter is

2(length + 4.2) = 2(9+4.2)

Perimeter = 2× 13.2 = 26.4m

4 0
3 years ago
On a graph what are the points on the equation 3x+2y=6
Igoryamba
(4,-3) hope this helps

4 0
3 years ago
Click on all items which will cause a decrease in the cost of an auto insurance policy.
ololo11 [35]
The answers for this question are 2 , 3 , and 5. these 3 make the most sense.
6 0
3 years ago
Read 2 more answers
Your friend gives you a simple regression fit for predicting house prices from square feet. the estimated intercept is –44850 an
Zina [86]

Answer:

  3022.08 . . . dollars per square meter

Step-by-step explanation:

The slope is multiplied by the factor that changes units:

  (280.76 dollars/ft²)×(1 ft²)/(.092303 m²) ≈ 3022.08 dollars/m²

3 0
3 years ago
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