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Andru [333]
2 years ago
15

I need help with 5-6

Mathematics
1 answer:
stepladder [879]2 years ago
6 0

Step-by-step explanation:

Q 5

Let the one white ball be W_1,

4 black balls be B_1,\:B_2,\:B_3,\: B_4

& 5 red balls be R_1,\:R_2,\:R_3,\: R_4, \:R_5

Therefore, sample space is given as:

S= \{ W_1, \:B_1,\:B_2,\:B_3,\: B_4, \: R_1,\:R_2,\:\\\:\:\:\:\:\:\:\:\:\:\:\:\:R_3,\: R_4, \:R_5\}

Q 6

Given number is: 112964333

sample space for above number can be given as:

S= \{ 1, \:2,\:3,\:4,\: 6, \: 9\}

Note: Digits appearing in a number more than one time will be written only once while writing sample space.

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Find the real or imaginary solutions of each equation by factoring
anyanavicka [17]
Sum of  2 perfect cubes
a³+b³=(a+b)(x²-xy+y²)
so

x³+4³=(x+4)(x²-4x+16)
set each to zero
x+4=0
x=-4

the other one can't be solveed using conventional means
use quadratic formula
for
ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^2-4ac} }{2a}
for x²-4x+16=0
x=\frac{-(-4)+/- \sqrt{(-4)^2-4(1)(16)} }{2(1)}
x=\frac{4+/- \sqrt{16-64} }{2}
x=\frac{4+/- \sqrt{-48} }{2}
x=\frac{4+/- (\sqrt{-1})(\sqrt{48}) }{2}
x=\frac{4+/- (i)(4\sqrt{3}) }{2}
x=2+/- 2i\sqrt{3}


the roots are
x=-4 and 2+2i√3 and 2-2i√3
8 0
3 years ago
Logan took out $23,400 in student loans to attend college at a compound interest rate of 5%. He deferred payments for two years.
blagie [28]

Answer:

$25,740

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 23400 × 0.05 × 2 = 2340

I = $ 2,340.00

The simple interest accumulated

on a principal of $ 23,400.00

at a rate of 5% per year

for 2 years is $ 2,340.00.

8 0
2 years ago
Charlotte borrowed $834 to pay for a weekend trip the interest rate she agreed to pay is 3%. If she takes 2 years to pay back th
ratelena [41]
Maybe it is
Explanation
8 0
2 years ago
Un avion sale de Córdoba con destino a Estados Unidos realiza escalas en Chile y en Bolivia la capacidad del avión es de 507 pas
Dahasolnce [82]

Answer:

386 passengers arrive at Estados Unidos.

386 pasajeros aterrizará en Estados Unidos.

Step-by-step explanation:

English Translation

A plane from Córdoba bound for Estados Unidos and makes stops in Chile and Bolivia. The plane has a capacity for 507 passengers. He leaves the Córdoba airport with 119 empty seats. In Chile 33 passengers go down and 121 go up. In Bolivia 129 go down and 39 go up. How many arrive in Estados Unidos?

- The plane has capacity for 507 passengers.

- 119 seats are empty when it leaves Córdoba.

Meaning that there were (507 - 119) passengers on board = 388 passengers

- In Chile 33 passengers go down and 121 go up.

Number of passenger become

388 - 33 + 121 = 476 passengers

- In Bolivia 129 go down and 39 go up.

Number of passengers become

476 - 129 + 39 = 386 passengers.

Hope this Helps!!!!

7 0
3 years ago
What is the next step to solve this equation?<br> 3x - 5 = 7
Ronch [10]

Answer:

Find the value of x the value is x=4

3x4=12

12-5=7

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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