All categories

2 years ago

Find the number of outcomes in the complement of the given event.

Mathematics

1 answer:

stealth61 [152]2 years ago

5 0

Answer:

Step-by-step explanation:

Out of 270 apartments in a complex, 174 are subleased.

Given that :

Total number of apartments in complex = 270

Number subleased = 174

The complement of event A = not A

Therefore, The complement in this scenario is NOT SUBLEASED ;

Hence, the Number of apartments in complex not subleased is :

Total apartment in complex - number subleased

270 - 174 = 96

You might be interested in

Find the complex fourth roots of 81(cos(3pi/8) + i sin(3pi/8))

BartSMP [9]

By using De Moivre's theorem:

If we have the complex number ⇒ z = a ( cos θ + i sin θ)
∴ $\sqrt[n]{z} = \sqrt[n]{a} \ (cos \ \frac{\theta + 360K}{n} + i \ sin \ \frac{\theta +360k}{n} )$
k= 0, 1 , 2, ..... , (n-1)

For The given complex number ⇒ z = 81(cos(3π/8) + i sin(3π/8))


Part (A) find the modulus for all of the fourth roots

∴ The modulus of the given complex number = l z l = 81

∴ The modulus of the fourth root = $\sqrt[4]{z} = \sqrt[4]{81} = 3$

Part (b) find the angle for each of the four roots

The angle of the given complex number = $\frac{3 \pi}{8}$
There is four roots and the angle between each root = $\frac{2 \pi}{4} = \frac{\pi}{2}$
The angle of the first root = $\frac{ \frac{3 \pi}{8} }{4} = \frac{3 \pi}{32}$
The angle of the second root = $\frac{3\pi}{32} + \frac{\pi}{2} = \frac{19\pi}{32}$
The angle of the third root = $\frac{19\pi}{32} + \frac{\pi}{2} = \frac{35\pi}{32}$
The angle of the fourth root = $\frac{35\pi}{32} + \frac{\pi}{2} = \frac{51\pi}{32}$

Part (C): find all of the fourth roots of this

The first root = $z_{1} = 3 ( cos \ \frac{3\pi}{32} + i \ sin \ \frac{3\pi}{32})$
The second root = $z_{2} = 3 ( cos \ \frac{19\pi}{32} + i \ sin \ \frac{19\pi}{32})$

The third root = $z_{3} = 3 ( cos \ \frac{35\pi}{32} + i \ sin \ \frac{35\pi}{32})$
The fourth root = $z_{4} = 3 ( cos \ \frac{51\pi}{32} + i \ sin \ \frac{51\pi}{32})$

7 0

3 years ago

The answer's are in the image sorry if you cant see them

Simora [160]

C. "David's equation is correct, because their spending will be multiplied by the number of months and then subtracted from their savings"

they are technically saying "Look we have 12,350 to use. How long (y) will the savings (12,350) last after using 240 each month (x)
so the amount they use *PER* month gets subtracted from the savings because they are using that money to pay with

Hope this helps :)

8 0

3 years ago

2.2x + 4.4 factor coefficient of the variable

Marianna [84]

2(1.1x+2.2) this is a way to make the factorization

3 0

3 years ago

A line has a slope of 11 and passes through the point (2,4). PLSS HELPP I NEED IT

Ivenika [448]

Answer:

y = 11x - 18

Step-by-step explanation:

Use the equation y = mx + b

m (the slope) = 11

x (the x-coordinate) = 2

y (the y-coordinate) = 4

Plug it in for our original equation:

4 = 11*2 + b

4 = 22 + b

4 - 22 = b

b = -18

Therefore, the answer is y = 11x - 18. The tricks to these problems are usually in the same format, when you are given the slope and a point it passes through, just plug in the slope and the x and y, and solve for b. Hope this helps!

7 0

3 years ago

during the sale, the price of the bicycle was marked down 24 percent. The sale price of the bike was $364. What was the original

kherson [118]

If the price is marked down 24%, that means it is 100-24 = 76% of the original. So we know that $364 is 76% of the original price. x * 0.76 = 364, x = 364/0.76 = $478.95. Make sense?

3 0

3 years ago