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3 years ago

11

To win a lottery, 7 numbers are drawn at random from a pool of 63 numbers. Numbers cannot repeat. If a person has one ticket,

what is the probability that they have the winning ticket?

1 answer:

Elena-2011 [213]3 years ago

7 0

Answer:

9%

Step-by-step explanation:

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Find the product of z1 and z2, where z1 = 7(cos 40° + i sin 40°) and z2 = 6(cos 145° + i sin 145°).

Oduvanchick [21]

For two complex numbers $z_1=re^{i\theta}=r(\cos\theta+i\sin\theta)$ and $z_2=se^{i\varphi}=s(\cos\varphi+i\sin\varphi)$ , the product is

$z_1z_2=rse^{i(\theta+\varphi)}=rs(\cos(\theta+\varphi)+i\sin(\theta+\varphi))$

That is, you multiply the moduli and add the arguments. You have $z_1=7e^{i40^\circ}$ and $z_2=6e^{i145^\circ}$ , so the product is

$z_1z_2=7\times6(\cos(40^\circ+145^\circ)+i\sin(40^\circ+145^\circ)=42(\cos185^\circ+i\sin185^\circ)=42e^{i185^\circ}$

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3 years ago

Read 2 more answers

How many different 2 digit numbers can you make with 4,6, and 8 if the numbers can not be repeated

Morgarella [4.7K]

Answer:

6

Step-by-step explanation:

46, 48, 64, 68, 86, 84

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3 years ago

A box is to be constructed with a rectangular base and a height of h cm. The length, l, of the box is 10 cm, and the width, w, i

Svetradugi [14.3K]

<span>The formula for the volume of a box is: Volume = L*W*H We know that the length is 10 cm. We know that the width is twice the height, so W = 2H. Then our volume equation is: Volume = 10*2H*H Volume = 20*H^2 Since H^2 is in the equation, this is a quadratic equation.</span>

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3 years ago

Romeo had pound of fudge left. He divided the remaining fudge into -pound 5 16 bags. Write and solve an equation that models the

lbvjy [14]

Answer:

3/4 / 5/16

Step-by-step explanation:

3/4 / 5/16 = 15/2 pound bags

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2 years ago

Find f(-4) for f(x)=x^4-7x^2-12

yan [13]

The answer is f(x)=132

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3 years ago