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3 years ago

Factor completely. 4x^2-2x-12

1 answer:

4 0

4x^2-2x-12=2x^2-x-6(On dividing by 2) Or, 2x^2-x-6=0 Or, 2x^2-4x+3x-6=0 Or, 2x(x-2)+3(x-2)=0 Or, the factors are: (2x+3)(x-2)

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Determine if the events A and B are independent. Show all steps.

zmey [24]

Answer:

$P(A U B ) = \frac{13}{25}$

Step-by-step explanation:

STEP:-1

Given that events A and B are independent then

P(A ∩B ) = P(A) P(B)

Given that P(A) = 2/5 and P(B) = 1/5

STEP:- 2

P(A ∩B ) = P(A) P(B)

$P(A U B) = P(A) +P(B) - P(A n B )$

$P(A U B ) = P(A) +P(B) - P(A) P(B)$

Step(iii):-

$P(A U B ) = \frac{2}{5} +\frac{1}{5} - \frac{2}{5} X \frac{1}{5}$

$P(A U B ) = \frac{3}{5} - \frac{2}{5} X \frac{1}{5}$

$P(A U B ) = \frac{3}{5} - \frac{2}{25}$

$P(A U B ) = \frac{15-2}{25} = \frac{13}{25}$

4 0

3 years ago

Answer this quick please

Ghella [55]

Answer:

$84s^{2} t\sqrt{35st}$

4 0

3 years ago

Read 2 more answers

Please help in really stuck

sattari [20]

$\int\limits {\pi y^2} \, dy$

y = 2 + x^6

y - 2 = x^6

x = (y - 2)^1/6

$\pi \int\limits^3_2 {(y - 2)^{1/6}} \, dx$

Well, solving this integral

$\pi \int\limits^3_2 {(y - 2)^{1/6}} \, dx$ = 2,69279

6 0

3 years ago

Please help me by solving this!

JulsSmile [24]

Answer:

Ani age is 21

Biju age is 18

Step-by-step explanation:

let Ani age be X

let Biju age be Y

the difference of their age is 3

i.e X - Y = 3......,....(equ. 1)

let Dharam age be A

let Cathy age be B

i.e A = 2x

B = y/2

the difference of their age is 30

Y/2 - 2x = 30..... (equ. 2)

from equ.1 X = ( 3+y).........( equ.3)

y/2 - 2(3+y) = 30

y/2 - 6 + 2y = 30

multiply both side by 2

y - 6 + 2y = 60

y + 2y = 60 - 6

3y = 54

Y = 18

from equ.3

X = 3+Y where y is 18

X = 3+18 = 21

5 0

3 years ago

Jenny’s mom gave her one dollar on the day she was born. She plans to triple the amount she gives her every day. How much will s

astraxan [27]

Answer:

19,683

Step-by-step explanation:

3 0

3 years ago